<?xml version="1.0" encoding="UTF-8"?>
<rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://web.resource.org/cc/" xmlns:media="http://search.yahoo.com/mrss/" version="2.0">
  <channel>
    <title>RSS feed for Environment: understanding atmospheric and ocean flows</title>
    <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-0</link>
    <description>This RSS feed contains all the sections in Environment: understanding atmospheric and ocean flows</description>
    <generator>Moodle</generator>
    <copyright>Copyright © 2019 The Open University</copyright>
    <image>
      <url>https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/i/rsssitelogo</url>
      <title>moodle</title>
      <link>https://www.open.edu/openlearn/ocw</link>
      <width>140</width>
      <height>35</height>
    </image>
    <language>en-gb</language><lastBuildDate>Tue, 22 Jan 2019 14:00:40 +0000</lastBuildDate><pubDate>Tue, 22 Jan 2019 14:00:40 +0000</pubDate><dc:date>2019-01-22T14:00:40+00:00</dc:date><dc:publisher>The Open University</dc:publisher><dc:language>en-gb</dc:language><dc:rights>Copyright © 2019 The Open University</dc:rights><cc:license>Copyright © 2019 The Open University</cc:license><item>
      <title>Introduction</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-0</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The scientific theory of plate tectonics suggests that at least some of the Arctic lands were once tropical. Since then the continents have moved and ice has changed the landscape. This free course, &lt;i&gt;Environment: understanding atmospheric and ocean flows&lt;/i&gt;, will concentrate on evidence from the last 800&amp;#xA0;000 years using information collected from ice cores from Greenland and Antarctica to discuss current and possible future climate. &lt;/p&gt;&lt;p&gt;The cores show that there have been nine periods in the recent past when large areas of the Earth were covered by ice. During the last 10&amp;#xA0;000 years – called the Holocene, which encompasses the entire development of human civilisation – there has been an unusually stable climate compared with the rest of the record.&lt;/p&gt;&lt;p&gt;The Arctic, like any region, has always undergone climate change but there is evidence, for example in the decreasing sea ice cover, which suggests that the changes are happening faster. In this course you will consider evidence from the ice cores which suggests that flows of chemicals and energy dominate natural systems and cause these changes. You will consider flows of water, heat and even pollution around the planet and look at how, through positive feedback processes, the flows that are affecting the Arctic are already changing the whole planet. There will be further changes, with an impact on us all. &lt;/p&gt;&lt;p&gt;The Arctic is often considered a victim of climate change – and it certainly is – but this course hopes to show that the Arctic acts as a planetary barometer. To discover the evidence that the Earth is dominated by flows you will start by looking at the most famous Arctic animal of all – the polar bear.&lt;/p&gt;&lt;p&gt;This OpenLearn course is an adapted extract from the Open University course &lt;span class="oucontent-linkwithtip"&gt;&lt;a class="oucontent-hyperlink" href="http://www.open.ac.uk/courses/modules/u116?LKCAMPAIGN=ebook_&amp;amp;MEDIA=ou"&gt;U116 &lt;i&gt;Environment: journeys through a changing world&lt;/i&gt;&lt;/a&gt;&lt;/span&gt;.&lt;a class="oucontent-hyperlink" href="http://www3.open.ac.uk/study/undergraduate/course/l120.htm"&gt;&lt;/a&gt;&lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-0</guid>
    <dc:title>Introduction</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The scientific theory of plate tectonics suggests that at least some of the Arctic lands were once tropical. Since then the continents have moved and ice has changed the landscape. This free course, &lt;i&gt;Environment: understanding atmospheric and ocean flows&lt;/i&gt;, will concentrate on evidence from the last 800 000 years using information collected from ice cores from Greenland and Antarctica to discuss current and possible future climate. &lt;/p&gt;&lt;p&gt;The cores show that there have been nine periods in the recent past when large areas of the Earth were covered by ice. During the last 10 000 years – called the Holocene, which encompasses the entire development of human civilisation – there has been an unusually stable climate compared with the rest of the record.&lt;/p&gt;&lt;p&gt;The Arctic, like any region, has always undergone climate change but there is evidence, for example in the decreasing sea ice cover, which suggests that the changes are happening faster. In this course you will consider evidence from the ice cores which suggests that flows of chemicals and energy dominate natural systems and cause these changes. You will consider flows of water, heat and even pollution around the planet and look at how, through positive feedback processes, the flows that are affecting the Arctic are already changing the whole planet. There will be further changes, with an impact on us all. &lt;/p&gt;&lt;p&gt;The Arctic is often considered a victim of climate change – and it certainly is – but this course hopes to show that the Arctic acts as a planetary barometer. To discover the evidence that the Earth is dominated by flows you will start by looking at the most famous Arctic animal of all – the polar bear.&lt;/p&gt;&lt;p&gt;This OpenLearn course is an adapted extract from the Open University course &lt;span class="oucontent-linkwithtip"&gt;&lt;a class="oucontent-hyperlink" href="http://www.open.ac.uk/courses/modules/u116?LKCAMPAIGN=ebook_&amp;MEDIA=ou"&gt;U116 &lt;i&gt;Environment: journeys through a changing world&lt;/i&gt;&lt;/a&gt;&lt;/span&gt;.&lt;a class="oucontent-hyperlink" href="http://www3.open.ac.uk/study/undergraduate/course/l120.htm"&gt;&lt;/a&gt;&lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>Learning outcomes</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section---learningoutcomes</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;After studying this course, you should be able to:&lt;/p&gt;&lt;ul&gt;&lt;li&gt;&lt;p&gt;appreciate how chemical processes in the rest of the world affect the Arctic environment and the species inhabiting it&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;recognise the physical processes that determine atmosphere and oceanic flows in the Arctic&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;appreciate the scientific research process and the use of scientific evidence&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;recognise the role and limitations of scientific data in attempting to predict global climatic change&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;understand the concept of feedback loops.&lt;/p&gt;&lt;/li&gt;&lt;/ul&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section---learningoutcomes</guid>
    <dc:title>Learning outcomes</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;After studying this course, you should be able to:&lt;/p&gt;&lt;ul&gt;&lt;li&gt;&lt;p&gt;appreciate how chemical processes in the rest of the world affect the Arctic environment and the species inhabiting it&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;recognise the physical processes that determine atmosphere and oceanic flows in the Arctic&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;appreciate the scientific research process and the use of scientific evidence&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;recognise the role and limitations of scientific data in attempting to predict global climatic change&lt;/p&gt;&lt;/li&gt;&lt;li&gt;&lt;p&gt;understand the concept of feedback loops.&lt;/p&gt;&lt;/li&gt;&lt;/ul&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>1 An environmental icon</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The polar bear has become an international climate change icon. But how much is known about this bear, its habitat and its life? By way of introduction, you will start with the name of this bear. To a British person it is the polar bear, to a German it is an &lt;i&gt;Eisb&amp;#xE4;r &lt;/i&gt;(ice bear), and to a French person it is an &lt;i&gt;ours blanc&lt;/i&gt; (white bear). In these three examples the bear is referred to as polar, white, or ice – eminently sensible. However, the Latin name for this bear is &lt;i&gt;Ursus maritimus&lt;/i&gt;, which means &amp;#x2018;bear of the sea’. The reason for this is given by the writer Barry Lopez: &lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;The polar bear is a creature of arctic edges: he hunts the ice margins, the surface of the water, and the continental shore. ... He dives to the ocean floor for mussels and kelp, and soundlessly breaks the water’s glassy surface on his return to study a sleeping seal. Twenty miles from shore he treads water amid schooling fish. In winter, while the grizzly hibernates, the polar bear is out on the sea ice, hunting. In summer his tracks turn up a hundred miles inland, where he has feasted on crowberries and blueberries. &lt;/p&gt;&lt;/blockquote&gt;&lt;div class="oucontent-source-reference"&gt;(Lopez, 2001, p. 77)&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure" style="width:512px;" id="fig1"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3124144" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/ebb62c7e/bd81a977/u116r_openlearn_f3_01a.tif.small.jpg" alt="Described image" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3129472"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3124144"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 1&lt;/b&gt; A snapshot of the travels of some polar bears around Svalbard &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3129472&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3129472"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3124144"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Figure 1 shows the movements of several satellite-tracked females around Svalbard, which is a group of islands about halfway between mainland Norway and the North Pole. A polar bear typically travels several thousand kilometres per year in search of its main prey species – the seal. The state of the seas and ice of the region will therefore directly affect the bears&lt;/p&gt;&lt;p&gt;It turns, however, that polar bears are also impacted by effects from much further afield as you will look at next. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1</guid>
    <dc:title>1 An environmental icon</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The polar bear has become an international climate change icon. But how much is known about this bear, its habitat and its life? By way of introduction, you will start with the name of this bear. To a British person it is the polar bear, to a German it is an &lt;i&gt;Eisbär &lt;/i&gt;(ice bear), and to a French person it is an &lt;i&gt;ours blanc&lt;/i&gt; (white bear). In these three examples the bear is referred to as polar, white, or ice – eminently sensible. However, the Latin name for this bear is &lt;i&gt;Ursus maritimus&lt;/i&gt;, which means ‘bear of the sea’. The reason for this is given by the writer Barry Lopez: &lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;The polar bear is a creature of arctic edges: he hunts the ice margins, the surface of the water, and the continental shore. ... He dives to the ocean floor for mussels and kelp, and soundlessly breaks the water’s glassy surface on his return to study a sleeping seal. Twenty miles from shore he treads water amid schooling fish. In winter, while the grizzly hibernates, the polar bear is out on the sea ice, hunting. In summer his tracks turn up a hundred miles inland, where he has feasted on crowberries and blueberries. &lt;/p&gt;&lt;/blockquote&gt;&lt;div class="oucontent-source-reference"&gt;(Lopez, 2001, p. 77)&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure" style="width:512px;" id="fig1"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3124144" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/ebb62c7e/bd81a977/u116r_openlearn_f3_01a.tif.small.jpg" alt="Described image" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3129472"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3124144"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 1&lt;/b&gt; A snapshot of the travels of some polar bears around Svalbard &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3129472&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3129472"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3124144"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Figure 1 shows the movements of several satellite-tracked females around Svalbard, which is a group of islands about halfway between mainland Norway and the North Pole. A polar bear typically travels several thousand kilometres per year in search of its main prey species – the seal. The state of the seas and ice of the region will therefore directly affect the bears&lt;/p&gt;&lt;p&gt;It turns, however, that polar bears are also impacted by effects from much further afield as you will look at next. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>1.1 Polar bears and pollutants</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Attaching a satellite-tracking device to polar bears is not easy, and they have to be drugged (Figure 2). This gives an opportunity for them to be weighed, measured and tagged, and have various samples such as hair, fat and teeth removed for later chemical analysis. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/ebb62c7e/373120c7/u116r_openlearn_f3_01b.tif.jpg" alt="Described image" width="512" height="317" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3136336"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 2&lt;/b&gt; Scientists examine a drugged polar bear&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3136336&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3136336"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The amount of body fat on a bear indicates whether it has been eating well or is starving. But a chemical analysis of this body fat gives a surprise: polar bears have measurable amounts of a family of chemicals called polybrominated diphenyl ethers (PBDEs) in their fat. The same family has also been measured in Arctic ringed seals and other Arctic wildlife (Figure 3). &lt;/p&gt;&lt;p&gt;PBDEs are a group of synthetic chemicals developed over the 20th century as fire retardants. Fabrics and furniture are impregnated with them, with the sole aim of slowing the rate at which they burn, and for which they have been very successful. However, once created, PBDEs are very difficult to destroy and will not break down into their elements over time. For this reason they are considered a persistent organic pollutant (POP). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:495px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3138304" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/d61dbcea/u116r_b2p3_f3_02.eps.small.jpg" alt="Described image" style="max-width:495px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3143776"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3138304"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 3&lt;/b&gt; Measurements of PBDE concentration in wildlife at different Arctic sites (Arctic Monitoring and Assessment Programme (AMAP), 2009)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3143776&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3143776"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3138304"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;In the late 1970s and early 1980s, scientists began to detect POPs in the tissues of fish and shellfish close to populated areas. Concentrations were then detected in human breast milk, and the levels were shown to be increasing with time – perhaps through direct exposure to PBDEs or through bioaccumulation (see Section 1.2). The scale in Figure 3 is given in nanograms per gram. So in every gram of the sample of beluga fat from Pangnirtung in 2004 there are about 30 nanograms of PBDE. This is 0.000&amp;#x2009;000&amp;#x2009;03 grams of PBDE in every gram of sample, or 0.03 parts per million (ppm). This may seem an extremely small amount, but PBDEs are potentially very toxic to liver and thyroid function, and have been shown to hinder development of nerve tissue in mammals. For this reason, the European Union banned several of them in 2004 and then more in 2008. &lt;/p&gt;&lt;p&gt;The migration of PBDEs into humans and shellfish can be explained by proximity to where they were used. While it is relatively simple to see how PBDEs can get into subjects close to their source, the PBDEs that end up in some of the wildlife in the Arctic have to be physically transported there. You will look at how pollutants are transported to the Arctic by flows around the Earth later in this course, but before you do, the following section looks at how pollutants can accumulate in the environment. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1.1</guid>
    <dc:title>1.1 Polar bears and pollutants</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Attaching a satellite-tracking device to polar bears is not easy, and they have to be drugged (Figure 2). This gives an opportunity for them to be weighed, measured and tagged, and have various samples such as hair, fat and teeth removed for later chemical analysis. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/ebb62c7e/373120c7/u116r_openlearn_f3_01b.tif.jpg" alt="Described image" width="512" height="317" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3136336"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 2&lt;/b&gt; Scientists examine a drugged polar bear&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3136336&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3136336"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The amount of body fat on a bear indicates whether it has been eating well or is starving. But a chemical analysis of this body fat gives a surprise: polar bears have measurable amounts of a family of chemicals called polybrominated diphenyl ethers (PBDEs) in their fat. The same family has also been measured in Arctic ringed seals and other Arctic wildlife (Figure 3). &lt;/p&gt;&lt;p&gt;PBDEs are a group of synthetic chemicals developed over the 20th century as fire retardants. Fabrics and furniture are impregnated with them, with the sole aim of slowing the rate at which they burn, and for which they have been very successful. However, once created, PBDEs are very difficult to destroy and will not break down into their elements over time. For this reason they are considered a persistent organic pollutant (POP). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:495px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3138304" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/d61dbcea/u116r_b2p3_f3_02.eps.small.jpg" alt="Described image" style="max-width:495px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3143776"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3138304"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 3&lt;/b&gt; Measurements of PBDE concentration in wildlife at different Arctic sites (Arctic Monitoring and Assessment Programme (AMAP), 2009)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3143776&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3143776"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3138304"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;In the late 1970s and early 1980s, scientists began to detect POPs in the tissues of fish and shellfish close to populated areas. Concentrations were then detected in human breast milk, and the levels were shown to be increasing with time – perhaps through direct exposure to PBDEs or through bioaccumulation (see Section 1.2). The scale in Figure 3 is given in nanograms per gram. So in every gram of the sample of beluga fat from Pangnirtung in 2004 there are about 30 nanograms of PBDE. This is 0.000 000 03 grams of PBDE in every gram of sample, or 0.03 parts per million (ppm). This may seem an extremely small amount, but PBDEs are potentially very toxic to liver and thyroid function, and have been shown to hinder development of nerve tissue in mammals. For this reason, the European Union banned several of them in 2004 and then more in 2008. &lt;/p&gt;&lt;p&gt;The migration of PBDEs into humans and shellfish can be explained by proximity to where they were used. While it is relatively simple to see how PBDEs can get into subjects close to their source, the PBDEs that end up in some of the wildlife in the Arctic have to be physically transported there. You will look at how pollutants are transported to the Arctic by flows around the Earth later in this course, but before you do, the following section looks at how pollutants can accumulate in the environment. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>1.2 Pollutants and bioaccumulation</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1.2</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The term &amp;#x2018;pollutant’ is a very wide-ranging term. When the introduction or action of something into any environment causes harm, it is considered a pollutant. This could be a harmful chemical such as smoke from a chimney, or it could be a more subtle and transient effect such as floodlights at an evening football match preventing stargazing. &lt;/p&gt;&lt;p&gt;There are many examples of how society has responded to pollution, such as the removal of lead in petrol, which affected human health, or the banning of chlorofluorocarbons (CFCs), which damaged the ozone layer. In both of these cases (i.e. lead and CFCs), when the pollution source was removed, the levels of them in the environment reduced and consequently so have the effects – albeit with a time delay. &lt;/p&gt;&lt;p&gt;By definition, persistent pollutants such as PBDEs do not break down, so continued introduction of even minute levels into an environment leads to accumulation and perhaps magnification of potential harm. For example, at a landfill site the PBDE level is likely to increase with time. Animals around that landfill may ingest PBDEs directly, but this bioaccumulation (intake and concentration of the chemical in their tissues) may be so small that it does not cause problems to any particular animal. However, a predator such as a cat might eat dozens of rats that live around the landfill, so it would receive the combined dose that each of these rats had within it. If this dose were subsequently absorbed by the cat, then the resulting accumulated level could be significantly more harmful. This concentration of pollutants at higher levels in the food chain is called biomagnification, and the result is that higher predators can be poisoned and suffer harm while animals at lower levels in the food chain are apparently unaffected. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1.2</guid>
    <dc:title>1.2 Pollutants and bioaccumulation</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The term ‘pollutant’ is a very wide-ranging term. When the introduction or action of something into any environment causes harm, it is considered a pollutant. This could be a harmful chemical such as smoke from a chimney, or it could be a more subtle and transient effect such as floodlights at an evening football match preventing stargazing. &lt;/p&gt;&lt;p&gt;There are many examples of how society has responded to pollution, such as the removal of lead in petrol, which affected human health, or the banning of chlorofluorocarbons (CFCs), which damaged the ozone layer. In both of these cases (i.e. lead and CFCs), when the pollution source was removed, the levels of them in the environment reduced and consequently so have the effects – albeit with a time delay. &lt;/p&gt;&lt;p&gt;By definition, persistent pollutants such as PBDEs do not break down, so continued introduction of even minute levels into an environment leads to accumulation and perhaps magnification of potential harm. For example, at a landfill site the PBDE level is likely to increase with time. Animals around that landfill may ingest PBDEs directly, but this bioaccumulation (intake and concentration of the chemical in their tissues) may be so small that it does not cause problems to any particular animal. However, a predator such as a cat might eat dozens of rats that live around the landfill, so it would receive the combined dose that each of these rats had within it. If this dose were subsequently absorbed by the cat, then the resulting accumulated level could be significantly more harmful. This concentration of pollutants at higher levels in the food chain is called biomagnification, and the result is that higher predators can be poisoned and suffer harm while animals at lower levels in the food chain are apparently unaffected. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>1.3 Summary of Section 1</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1.3</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;In examining the European name of the polar bear there is an apparent contradiction between its common and scientific names. This is because the polar bear is at home in the natural environments of land, sea and ice. In their search for food, bears can travel huge distances. Chemical analysis of the fat in the bears and their main prey species, the ringed seal, shows that they contain PBDEs – manufactured persistent organic pollutants that do not occur naturally. &lt;/p&gt;&lt;p&gt;In Section 2 you will look at how different flows around the Earth can transport pollutants.&lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1.3</guid>
    <dc:title>1.3 Summary of Section 1</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;In examining the European name of the polar bear there is an apparent contradiction between its common and scientific names. This is because the polar bear is at home in the natural environments of land, sea and ice. In their search for food, bears can travel huge distances. Chemical analysis of the fat in the bears and their main prey species, the ringed seal, shows that they contain PBDEs – manufactured persistent organic pollutants that do not occur naturally. &lt;/p&gt;&lt;p&gt;In Section 2 you will look at how different flows around the Earth can transport pollutants.&lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>2 The atmospheric and ocean flows</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;PBDEs end up in the Arctic through their physical transport by the winds, the ocean and the rivers of the world. All three mechanisms are important, but the most rapid carrier is the wind. &lt;/p&gt;&lt;p&gt;The basic principle of global atmospheric circulation is simple: warm air rises and cold air sinks. The warming effect of the Sun is much greater at the equator than at higher latitudes, so the air is much warmer and rises. At high latitudes the air cools and sinks. This drives a horizontal wind. To help picture this, imagine a room with a radiator on one wall, and at the other end of the room an open fridge (Figure 4). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:466px;" id="fig4"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/afcbc303/u116r_b2p3_f3_03.eps.jpg" alt="Described image" width="466" height="154" style="max-width:466px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3158400"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 4&lt;/b&gt; (a) A room with a radiator on one wall and an open fridge on the other will cause air to rise and sink at opposite ends; (b) horizontal winds are set up to replace this ascending and descending air &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3158400&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3158400"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The radiator heats up the air around it, and the air rises in what is called a convection current all the way to the ceiling and starts to spread. At the other end, the fridge is doing the opposite and cooling the air, which sinks and spreads across the floor. To replace the air that has risen, the air beneath the radiator is pulled upwards and then heated and rises, while the opposite is happening at the other end of the room. &lt;/p&gt;&lt;p&gt;At the most basic level, on Earth the same process is happening, with warm air rising from lower latitudes and sinking at higher, colder latitudes. High-level winds therefore tend to blow from the hotter regions to the colder ones. This general pattern is modified by the rotation of the Earth, which deflects the wind flow away from the apparently direct path. &lt;/p&gt;&lt;p&gt;These wind flows are further complicated by the distribution of continents and their mountain ranges across the globe. Winds are modified as they move around and over mountain ranges. They are also affected as they travel over land and sea surfaces, where the air is warmed to different extents. This is because of two additional processes: land and sea surfaces reflect different amounts of solar energy falling on them, and materials such as rocks and water need different amounts of heat to warm them up. You will look at the impact of these processes next.&lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2</guid>
    <dc:title>2 The atmospheric and ocean flows</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;PBDEs end up in the Arctic through their physical transport by the winds, the ocean and the rivers of the world. All three mechanisms are important, but the most rapid carrier is the wind. &lt;/p&gt;&lt;p&gt;The basic principle of global atmospheric circulation is simple: warm air rises and cold air sinks. The warming effect of the Sun is much greater at the equator than at higher latitudes, so the air is much warmer and rises. At high latitudes the air cools and sinks. This drives a horizontal wind. To help picture this, imagine a room with a radiator on one wall, and at the other end of the room an open fridge (Figure 4). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:466px;" id="fig4"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/afcbc303/u116r_b2p3_f3_03.eps.jpg" alt="Described image" width="466" height="154" style="max-width:466px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3158400"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 4&lt;/b&gt; (a) A room with a radiator on one wall and an open fridge on the other will cause air to rise and sink at opposite ends; (b) horizontal winds are set up to replace this ascending and descending air &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3158400&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3158400"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The radiator heats up the air around it, and the air rises in what is called a convection current all the way to the ceiling and starts to spread. At the other end, the fridge is doing the opposite and cooling the air, which sinks and spreads across the floor. To replace the air that has risen, the air beneath the radiator is pulled upwards and then heated and rises, while the opposite is happening at the other end of the room. &lt;/p&gt;&lt;p&gt;At the most basic level, on Earth the same process is happening, with warm air rising from lower latitudes and sinking at higher, colder latitudes. High-level winds therefore tend to blow from the hotter regions to the colder ones. This general pattern is modified by the rotation of the Earth, which deflects the wind flow away from the apparently direct path. &lt;/p&gt;&lt;p&gt;These wind flows are further complicated by the distribution of continents and their mountain ranges across the globe. Winds are modified as they move around and over mountain ranges. They are also affected as they travel over land and sea surfaces, where the air is warmed to different extents. This is because of two additional processes: land and sea surfaces reflect different amounts of solar energy falling on them, and materials such as rocks and water need different amounts of heat to warm them up. You will look at the impact of these processes next.&lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>2.1 Albedo</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;When solar energy reaches the Earth’s surface, a proportion of it is reflected straight back out into space, and only the fraction which is not reflected heats the terrain. Different materials have a different albedo and so reflect a different amount of solar energy. If you put your hand on a black car on a warm sunny day, and then on a white car, you will notice that the black car feels warmer. This is because it reflects less energy so it heats up more. The black car has a lower albedo than the white car. Table 1 shows the albedos of some typical surfaces. For example, the surface of the ocean has an albedo of 3%, which means that 100% – 3% = 97%, or almost all of the incoming energy from the Sun, actually heats the water. Fresh snow, on the other hand, reflects away most solar energy, a property that has important consequences for the climate of the Arctic. &lt;/p&gt;&lt;div class="oucontent-table oucontent-s-normal oucontent-s-box" id="tab1"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;&lt;b&gt;Table 1&lt;/b&gt; The albedos of typical features on Earth&lt;/h2&gt;&lt;div class="oucontent-table-wrapper"&gt;&lt;table&gt;&lt;tr&gt;&lt;th scope="col"&gt;&lt;b&gt;Surface&lt;/b&gt;&lt;/th&gt;&lt;th scope="col"&gt;&lt;b&gt;Albedo&lt;/b&gt;&lt;/th&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Ocean surface&lt;/td&gt;&lt;td&gt;3%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Conifer forest in summer&lt;/td&gt;&lt;td&gt;9%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Grassy fields&lt;/td&gt;&lt;td&gt;25%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Sea ice&lt;/td&gt;&lt;td&gt;40%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Desert sand&lt;/td&gt;&lt;td&gt;40%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Fresh snow&lt;/td&gt;&lt;td&gt;80–90%&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 1 The importance of albedo&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 5 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;If the Sun’s energy falls on a desert and also sea ice on a frozen sea, what proportion of the energy is available to heat up each material? If snow then falls to cover the sea ice, what will be the amount of energy available to heat up the ice?&lt;/p&gt;&lt;/div&gt;&lt;div&gt;Interactive content appears here. Please visit the website to use it&lt;/div&gt;

&lt;div class="oucontent-saq-interactiveanswer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;If the Sun’s energy falls on a desert and a frozen sea, the amount of energy available to heat up the material will be the same, because Table 1 shows that the two substances have the same albedo: 40%. In both cases, the amount of energy available to heat up the material is &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="acaaa2b6975925260cf435a22b71a9bec0c2f61e"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_1d" height="18px" role="math" style="vertical-align: -4px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -824.5868 17527.6 1060.1830" width="297.5871px"&gt;

&lt;desc id="eq_44c947b2_1d"&gt;amount of energy equals 100 percent negative 40 percent equals 60 percent&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_1MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_1MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_1MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58Z" id="eq_44c947b2_1MJMAIN-75" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_1MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_1MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_1MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_1MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_1MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_1MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_1MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_1MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_1MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_1MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z" id="eq_44c947b2_1MJMAIN-25" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_1MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_1MJMAIN-34" stroke-width="10"/&gt;
&lt;path d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z" id="eq_44c947b2_1MJMAIN-36" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_1MJMAIN-61"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_1MJMAIN-6D" y="0"/&gt;
 &lt;use x="1343" xlink:href="#eq_44c947b2_1MJMAIN-6F" y="0"/&gt;
 &lt;use x="1848" xlink:href="#eq_44c947b2_1MJMAIN-75" y="0"/&gt;
 &lt;use x="2409" xlink:href="#eq_44c947b2_1MJMAIN-6E" y="0"/&gt;
 &lt;use x="2970" xlink:href="#eq_44c947b2_1MJMAIN-74" y="0"/&gt;
 &lt;use x="3614" xlink:href="#eq_44c947b2_1MJMAIN-6F" y="0"/&gt;
 &lt;use x="4119" xlink:href="#eq_44c947b2_1MJMAIN-66" y="0"/&gt;
 &lt;use x="4680" xlink:href="#eq_44c947b2_1MJMAIN-65" y="0"/&gt;
 &lt;use x="5129" xlink:href="#eq_44c947b2_1MJMAIN-6E" y="0"/&gt;
 &lt;use x="5690" xlink:href="#eq_44c947b2_1MJMAIN-65" y="0"/&gt;
 &lt;use x="6139" xlink:href="#eq_44c947b2_1MJMAIN-72" y="0"/&gt;
 &lt;use x="6536" xlink:href="#eq_44c947b2_1MJMAIN-67" y="0"/&gt;
 &lt;use x="7041" xlink:href="#eq_44c947b2_1MJMAIN-79" y="0"/&gt;
&lt;g transform="translate(7851,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_1MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(1060,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_1MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_1MJMAIN-30" y="0"/&gt;
 &lt;use x="1010" xlink:href="#eq_44c947b2_1MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="2575" xlink:href="#eq_44c947b2_1MJMAIN-25" y="0"/&gt;
 &lt;use x="3636" xlink:href="#eq_44c947b2_1MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(4641,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_1MJMAIN-34"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_1MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="5651" xlink:href="#eq_44c947b2_1MJMAIN-25" y="0"/&gt;
 &lt;use x="6767" xlink:href="#eq_44c947b2_1MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(7827,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_1MJMAIN-36"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_1MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="8837" xlink:href="#eq_44c947b2_1MJMAIN-25" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;So 60% of the incoming energy will be available to heat up the material. &lt;/p&gt;&lt;p&gt;If snow falls on the sea ice, then its albedo will increase from 40% to 80–90%, so the amount of energy available to heat up the ice is &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="c5c169e9983673de0457a956105d7f75f54a6866"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_2d" height="18px" role="math" style="vertical-align: -4px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -824.5868 17389.0 1060.1830" width="295.2339px"&gt;

&lt;desc id="eq_44c947b2_2d"&gt;amount of energy equals 100 percent negative 90 percent equals 10 percent&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_2MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_2MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_2MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58Z" id="eq_44c947b2_2MJMAIN-75" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_2MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_2MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_2MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_2MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_2MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_2MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_2MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_2MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_2MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_2MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z" id="eq_44c947b2_2MJMAIN-25" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_2MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" id="eq_44c947b2_2MJMAIN-39" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use x="167" xlink:href="#eq_44c947b2_2MJMAIN-61" y="0"/&gt;
 &lt;use x="672" xlink:href="#eq_44c947b2_2MJMAIN-6D" y="0"/&gt;
 &lt;use x="1510" xlink:href="#eq_44c947b2_2MJMAIN-6F" y="0"/&gt;
 &lt;use x="2015" xlink:href="#eq_44c947b2_2MJMAIN-75" y="0"/&gt;
 &lt;use x="2576" xlink:href="#eq_44c947b2_2MJMAIN-6E" y="0"/&gt;
 &lt;use x="3137" xlink:href="#eq_44c947b2_2MJMAIN-74" y="0"/&gt;
 &lt;use x="3781" xlink:href="#eq_44c947b2_2MJMAIN-6F" y="0"/&gt;
 &lt;use x="4286" xlink:href="#eq_44c947b2_2MJMAIN-66" y="0"/&gt;
 &lt;use x="4847" xlink:href="#eq_44c947b2_2MJMAIN-65" y="0"/&gt;
 &lt;use x="5296" xlink:href="#eq_44c947b2_2MJMAIN-6E" y="0"/&gt;
 &lt;use x="5857" xlink:href="#eq_44c947b2_2MJMAIN-65" y="0"/&gt;
 &lt;use x="6306" xlink:href="#eq_44c947b2_2MJMAIN-72" y="0"/&gt;
 &lt;use x="6703" xlink:href="#eq_44c947b2_2MJMAIN-67" y="0"/&gt;
 &lt;use x="7208" xlink:href="#eq_44c947b2_2MJMAIN-79" y="0"/&gt;
 &lt;use x="7991" xlink:href="#eq_44c947b2_2MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(8774,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_2MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_2MJMAIN-30" y="0"/&gt;
 &lt;use x="1010" xlink:href="#eq_44c947b2_2MJMAIN-30" y="0"/&gt;
 &lt;use x="1515" xlink:href="#eq_44c947b2_2MJMAIN-25" y="0"/&gt;
 &lt;use x="2575" xlink:href="#eq_44c947b2_2MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(3580,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_2MJMAIN-39"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_2MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="4590" xlink:href="#eq_44c947b2_2MJMAIN-25" y="0"/&gt;
 &lt;use x="5706" xlink:href="#eq_44c947b2_2MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(6766,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_2MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_2MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="7776" xlink:href="#eq_44c947b2_2MJMAIN-25" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;Only 10% of the incoming energy is now available to heat up the ice, and almost all of the incident energy is reflected away. Clearly, albedo is extremely important for the polar regions. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Next you will look at what is meant by specific heat capacity and its effects.&lt;/p&gt; </description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.1</guid>
    <dc:title>2.1 Albedo</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;When solar energy reaches the Earth’s surface, a proportion of it is reflected straight back out into space, and only the fraction which is not reflected heats the terrain. Different materials have a different albedo and so reflect a different amount of solar energy. If you put your hand on a black car on a warm sunny day, and then on a white car, you will notice that the black car feels warmer. This is because it reflects less energy so it heats up more. The black car has a lower albedo than the white car. Table 1 shows the albedos of some typical surfaces. For example, the surface of the ocean has an albedo of 3%, which means that 100% – 3% = 97%, or almost all of the incoming energy from the Sun, actually heats the water. Fresh snow, on the other hand, reflects away most solar energy, a property that has important consequences for the climate of the Arctic. &lt;/p&gt;&lt;div class="oucontent-table oucontent-s-normal oucontent-s-box" id="tab1"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;&lt;b&gt;Table 1&lt;/b&gt; The albedos of typical features on Earth&lt;/h2&gt;&lt;div class="oucontent-table-wrapper"&gt;&lt;table&gt;&lt;tr&gt;&lt;th scope="col"&gt;&lt;b&gt;Surface&lt;/b&gt;&lt;/th&gt;&lt;th scope="col"&gt;&lt;b&gt;Albedo&lt;/b&gt;&lt;/th&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Ocean surface&lt;/td&gt;&lt;td&gt;3%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Conifer forest in summer&lt;/td&gt;&lt;td&gt;9%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Grassy fields&lt;/td&gt;&lt;td&gt;25%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Sea ice&lt;/td&gt;&lt;td&gt;40%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Desert sand&lt;/td&gt;&lt;td&gt;40%&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;Fresh snow&lt;/td&gt;&lt;td&gt;80–90%&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 1 The importance of albedo&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 5 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;If the Sun’s energy falls on a desert and also sea ice on a frozen sea, what proportion of the energy is available to heat up each material? If snow then falls to cover the sea ice, what will be the amount of energy available to heat up the ice?&lt;/p&gt;&lt;/div&gt;&lt;div&gt;Interactive content appears here. Please visit the website to use it&lt;/div&gt;

&lt;div class="oucontent-saq-interactiveanswer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;If the Sun’s energy falls on a desert and a frozen sea, the amount of energy available to heat up the material will be the same, because Table 1 shows that the two substances have the same albedo: 40%. In both cases, the amount of energy available to heat up the material is &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="acaaa2b6975925260cf435a22b71a9bec0c2f61e"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_1d" height="18px" role="math" style="vertical-align: -4px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -824.5868 17527.6 1060.1830" width="297.5871px"&gt;

&lt;desc id="eq_44c947b2_1d"&gt;amount of energy equals 100 percent negative 40 percent equals 60 percent&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_1MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_1MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_1MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58Z" id="eq_44c947b2_1MJMAIN-75" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_1MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_1MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_1MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_1MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_1MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_1MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_1MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_1MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_1MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_1MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z" id="eq_44c947b2_1MJMAIN-25" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_1MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_1MJMAIN-34" stroke-width="10"/&gt;
&lt;path d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z" id="eq_44c947b2_1MJMAIN-36" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_1MJMAIN-61"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_1MJMAIN-6D" y="0"/&gt;
 &lt;use x="1343" xlink:href="#eq_44c947b2_1MJMAIN-6F" y="0"/&gt;
 &lt;use x="1848" xlink:href="#eq_44c947b2_1MJMAIN-75" y="0"/&gt;
 &lt;use x="2409" xlink:href="#eq_44c947b2_1MJMAIN-6E" y="0"/&gt;
 &lt;use x="2970" xlink:href="#eq_44c947b2_1MJMAIN-74" y="0"/&gt;
 &lt;use x="3614" xlink:href="#eq_44c947b2_1MJMAIN-6F" y="0"/&gt;
 &lt;use x="4119" xlink:href="#eq_44c947b2_1MJMAIN-66" y="0"/&gt;
 &lt;use x="4680" xlink:href="#eq_44c947b2_1MJMAIN-65" y="0"/&gt;
 &lt;use x="5129" xlink:href="#eq_44c947b2_1MJMAIN-6E" y="0"/&gt;
 &lt;use x="5690" xlink:href="#eq_44c947b2_1MJMAIN-65" y="0"/&gt;
 &lt;use x="6139" xlink:href="#eq_44c947b2_1MJMAIN-72" y="0"/&gt;
 &lt;use x="6536" xlink:href="#eq_44c947b2_1MJMAIN-67" y="0"/&gt;
 &lt;use x="7041" xlink:href="#eq_44c947b2_1MJMAIN-79" y="0"/&gt;
&lt;g transform="translate(7851,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_1MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(1060,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_1MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_1MJMAIN-30" y="0"/&gt;
 &lt;use x="1010" xlink:href="#eq_44c947b2_1MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="2575" xlink:href="#eq_44c947b2_1MJMAIN-25" y="0"/&gt;
 &lt;use x="3636" xlink:href="#eq_44c947b2_1MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(4641,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_1MJMAIN-34"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_1MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="5651" xlink:href="#eq_44c947b2_1MJMAIN-25" y="0"/&gt;
 &lt;use x="6767" xlink:href="#eq_44c947b2_1MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(7827,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_1MJMAIN-36"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_1MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="8837" xlink:href="#eq_44c947b2_1MJMAIN-25" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;So 60% of the incoming energy will be available to heat up the material. &lt;/p&gt;&lt;p&gt;If snow falls on the sea ice, then its albedo will increase from 40% to 80–90%, so the amount of energy available to heat up the ice is &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="c5c169e9983673de0457a956105d7f75f54a6866"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_2d" height="18px" role="math" style="vertical-align: -4px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -824.5868 17389.0 1060.1830" width="295.2339px"&gt;

&lt;desc id="eq_44c947b2_2d"&gt;amount of energy equals 100 percent negative 90 percent equals 10 percent&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_2MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_2MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_2MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58Z" id="eq_44c947b2_2MJMAIN-75" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_2MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_2MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_2MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_2MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_2MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_2MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_2MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_2MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_2MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_2MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z" id="eq_44c947b2_2MJMAIN-25" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_2MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" id="eq_44c947b2_2MJMAIN-39" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use x="167" xlink:href="#eq_44c947b2_2MJMAIN-61" y="0"/&gt;
 &lt;use x="672" xlink:href="#eq_44c947b2_2MJMAIN-6D" y="0"/&gt;
 &lt;use x="1510" xlink:href="#eq_44c947b2_2MJMAIN-6F" y="0"/&gt;
 &lt;use x="2015" xlink:href="#eq_44c947b2_2MJMAIN-75" y="0"/&gt;
 &lt;use x="2576" xlink:href="#eq_44c947b2_2MJMAIN-6E" y="0"/&gt;
 &lt;use x="3137" xlink:href="#eq_44c947b2_2MJMAIN-74" y="0"/&gt;
 &lt;use x="3781" xlink:href="#eq_44c947b2_2MJMAIN-6F" y="0"/&gt;
 &lt;use x="4286" xlink:href="#eq_44c947b2_2MJMAIN-66" y="0"/&gt;
 &lt;use x="4847" xlink:href="#eq_44c947b2_2MJMAIN-65" y="0"/&gt;
 &lt;use x="5296" xlink:href="#eq_44c947b2_2MJMAIN-6E" y="0"/&gt;
 &lt;use x="5857" xlink:href="#eq_44c947b2_2MJMAIN-65" y="0"/&gt;
 &lt;use x="6306" xlink:href="#eq_44c947b2_2MJMAIN-72" y="0"/&gt;
 &lt;use x="6703" xlink:href="#eq_44c947b2_2MJMAIN-67" y="0"/&gt;
 &lt;use x="7208" xlink:href="#eq_44c947b2_2MJMAIN-79" y="0"/&gt;
 &lt;use x="7991" xlink:href="#eq_44c947b2_2MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(8774,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_2MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_2MJMAIN-30" y="0"/&gt;
 &lt;use x="1010" xlink:href="#eq_44c947b2_2MJMAIN-30" y="0"/&gt;
 &lt;use x="1515" xlink:href="#eq_44c947b2_2MJMAIN-25" y="0"/&gt;
 &lt;use x="2575" xlink:href="#eq_44c947b2_2MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(3580,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_2MJMAIN-39"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_2MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="4590" xlink:href="#eq_44c947b2_2MJMAIN-25" y="0"/&gt;
 &lt;use x="5706" xlink:href="#eq_44c947b2_2MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(6766,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_2MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_2MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="7776" xlink:href="#eq_44c947b2_2MJMAIN-25" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;Only 10% of the incoming energy is now available to heat up the ice, and almost all of the incident energy is reflected away. Clearly, albedo is extremely important for the polar regions. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Next you will look at what is meant by specific heat capacity and its effects.&lt;/p&gt; </dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>2.2 Specific heat capacity</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.2</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;When energy reaches the surface of an object, the amount the object heats up is determined by its specific heat capacity. This is a measure of how much energy it takes to raise the temperature of 1&amp;#x2009;kg of a particular substance by 1&amp;#x2009;&amp;#xB0;C. A lower specific heat capacity means that it takes less energy to heat up something, and vice versa. Although the term may be unfamiliar, the concept most likely is not. &lt;/p&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 2 The effect of specific heat capacity&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 5 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;On a very hot sunny day on a table outside in the sunshine there is a glass containing 1&amp;#x2009;kg of water (i.e. 1 litre), a 1&amp;#x2009;kg piece of cork and a 1&amp;#x2009;kg piece of iron. Ignore the effects of albedo and assume that all three items absorb the same amount of energy from the Sun. Which will be the hottest after 1 hour, and which the coolest? (Ignore all sources of heat except that received directly from the Sun.) &lt;/p&gt;&lt;/div&gt;&lt;div&gt;Interactive content appears here. Please visit the website to use it&lt;/div&gt;

&lt;div class="oucontent-saq-interactivediscussion"&gt;&lt;h3 class="oucontent-h4"&gt;Discussion&lt;/h3&gt;&lt;p&gt;You probably recognised that the 1&amp;#x2009;kg of iron would be the hottest. It does not take very much heat energy to change the temperature of the iron because it has a low specific heat capacity. The other two items are harder to place, but the cork will be cooler than the iron, and the water, which has the highest specific heat capacity, will be the coolest item on the table. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Water has an extremely high specific heat capacity and it takes a vast amount of energy to heat it. This is why virtually all car engines use water in their cooling systems. &lt;/p&gt;&lt;p&gt;Taking into account the combined effects of albedo and specific heat capacity, even two adjacent areas such as a beach and the sea lapping on it will heat up by different amounts on a sunny day. &lt;/p&gt;&lt;p&gt;Areas with lower heat capacities and lower albedos heat up more. This heat is transferred to the air above, so in these areas it will rise at a faster rate, whilst in cooler areas the air sinks. The rising and sinking air drives horizontal winds much as in &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2#fig4"&gt;Figure 4&lt;/a&gt;, although on a planetary scale. &lt;/p&gt;&lt;p&gt;Sea ice cover is also constantly moving. It is pushed by the winds and ocean currents, and drifts in the pattern shown in Figure 5. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/ad2d1537/u116r_b2p3_f3_04.eps.jpg" alt="Described image" width="512" height="425" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3188064"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 5&lt;/b&gt; The mean ice drift across the Arctic Ocean. The ice is trapped in two major circulation features, the Beaufort Gyre and the Transpolar Drift Stream. White arrows show the general movement of the ocean currents; blue arrows show the general drift of the sea ice.&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3188064&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3188064"&gt;&lt;/a&gt;&lt;/div&gt; </description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.2</guid>
    <dc:title>2.2 Specific heat capacity</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;When energy reaches the surface of an object, the amount the object heats up is determined by its specific heat capacity. This is a measure of how much energy it takes to raise the temperature of 1 kg of a particular substance by 1 °C. A lower specific heat capacity means that it takes less energy to heat up something, and vice versa. Although the term may be unfamiliar, the concept most likely is not. &lt;/p&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 2 The effect of specific heat capacity&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 5 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;On a very hot sunny day on a table outside in the sunshine there is a glass containing 1 kg of water (i.e. 1 litre), a 1 kg piece of cork and a 1 kg piece of iron. Ignore the effects of albedo and assume that all three items absorb the same amount of energy from the Sun. Which will be the hottest after 1 hour, and which the coolest? (Ignore all sources of heat except that received directly from the Sun.) &lt;/p&gt;&lt;/div&gt;&lt;div&gt;Interactive content appears here. Please visit the website to use it&lt;/div&gt;

&lt;div class="oucontent-saq-interactivediscussion"&gt;&lt;h3 class="oucontent-h4"&gt;Discussion&lt;/h3&gt;&lt;p&gt;You probably recognised that the 1 kg of iron would be the hottest. It does not take very much heat energy to change the temperature of the iron because it has a low specific heat capacity. The other two items are harder to place, but the cork will be cooler than the iron, and the water, which has the highest specific heat capacity, will be the coolest item on the table. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Water has an extremely high specific heat capacity and it takes a vast amount of energy to heat it. This is why virtually all car engines use water in their cooling systems. &lt;/p&gt;&lt;p&gt;Taking into account the combined effects of albedo and specific heat capacity, even two adjacent areas such as a beach and the sea lapping on it will heat up by different amounts on a sunny day. &lt;/p&gt;&lt;p&gt;Areas with lower heat capacities and lower albedos heat up more. This heat is transferred to the air above, so in these areas it will rise at a faster rate, whilst in cooler areas the air sinks. The rising and sinking air drives horizontal winds much as in &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2#fig4"&gt;Figure 4&lt;/a&gt;, although on a planetary scale. &lt;/p&gt;&lt;p&gt;Sea ice cover is also constantly moving. It is pushed by the winds and ocean currents, and drifts in the pattern shown in Figure 5. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/ad2d1537/u116r_b2p3_f3_04.eps.jpg" alt="Described image" width="512" height="425" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3188064"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 5&lt;/b&gt; The mean ice drift across the Arctic Ocean. The ice is trapped in two major circulation features, the Beaufort Gyre and the Transpolar Drift Stream. White arrows show the general movement of the ocean currents; blue arrows show the general drift of the sea ice.&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3188064&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3188064"&gt;&lt;/a&gt;&lt;/div&gt; </dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>2.3 Russian tree trunks in the Arctic</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.3</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;In Northern latitudes, the treeline is often used as a means to define the Arctic region. The &amp;#x2018;treeline’ is a physical boundary of altitude or latitude beyond which trees cannot thrive because of a combination of light availability and temperature that would prevent tree growth. &lt;/p&gt;&lt;p&gt;Although the Arctic is north of the treeline, it is not unusual to find tree trunks in the Arctic regions. Figure 6 shows a Svalbard beach strewn with tree trunks.&lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/cdbc33bb/u116r_b2p3_f3_fig6.tif.jpg" alt="Described image" width="512" height="331" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3194800"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 6&lt;/b&gt; A photograph of a typical scene on a Svalbard beach (Norway)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3194800&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3194800"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;How do the tree trunks get there? They are mostly Siberian fir trees (&lt;i&gt;Abies sibirica&lt;/i&gt;), natives of the great forests of northern Russia. Tree trunks are carried out to sea in summer by rivers such as the Lena, Ob and Yenisei. Then they are frozen into sea ice and travel in two ocean currents called the Transpolar Drift Stream and the Beaufort Gyre. Eventually they reach the shores of Svalbard and Greenland. Dating of these tree trunks using carbon dating shows that some are several thousand years old. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.3</guid>
    <dc:title>2.3 Russian tree trunks in the Arctic</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;In Northern latitudes, the treeline is often used as a means to define the Arctic region. The ‘treeline’ is a physical boundary of altitude or latitude beyond which trees cannot thrive because of a combination of light availability and temperature that would prevent tree growth. &lt;/p&gt;&lt;p&gt;Although the Arctic is north of the treeline, it is not unusual to find tree trunks in the Arctic regions. Figure 6 shows a Svalbard beach strewn with tree trunks.&lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/cdbc33bb/u116r_b2p3_f3_fig6.tif.jpg" alt="Described image" width="512" height="331" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3194800"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 6&lt;/b&gt; A photograph of a typical scene on a Svalbard beach (Norway)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3194800&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3194800"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;How do the tree trunks get there? They are mostly Siberian fir trees (&lt;i&gt;Abies sibirica&lt;/i&gt;), natives of the great forests of northern Russia. Tree trunks are carried out to sea in summer by rivers such as the Lena, Ob and Yenisei. Then they are frozen into sea ice and travel in two ocean currents called the Transpolar Drift Stream and the Beaufort Gyre. Eventually they reach the shores of Svalbard and Greenland. Dating of these tree trunks using carbon dating shows that some are several thousand years old. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>2.3.1 Nansen and the voyage of the Fram</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.3.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Wood on the shores of Svalbard and East Greenland caused confusion to the first explorers. But when wreckage from a ship called the &lt;i&gt;Jeanette&lt;/i&gt; was found on the coast of East Greenland in the late 19th century, the best environmental scientist of the age, the Norwegian Fridtjof Nansen (Figure 7(a)), had a eureka moment. Nansen knew that the &lt;i&gt;Jeanette&lt;/i&gt; had sunk off Alaska on the other side of the Arctic Ocean and deduced that the wreckage must have been carried across the frozen sea by the sea ice. He decided to try to use the ice drift to reach the North Pole and study the Arctic environment on the journey. He had the ship &lt;i&gt;Fram&lt;/i&gt; (Norwegian for &amp;#x2018;forward’) built (Figure 7(b)). The ship had a round hull so that it would not get crushed like the &lt;i&gt;Jeanette&lt;/i&gt;, and Nansen left Norway in 1893 for the Arctic and the North Pole. It was over three years before he and his colleagues returned. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/8db2bf45/u116r_b2p3_f3_05.eps.jpg" alt="Described image" width="512" height="316" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3204864"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 7&lt;/b&gt; (a) Fridtjof Nansen (1861–1930); (b) his ship the &lt;i&gt;Fram&lt;/i&gt; frozen into the Arctic Ocean and being carried along with the moving ice in the Transpolar Drift Stream &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3204864&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3204864"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Nansen and his crew followed the Russian coast (i.e. against the ocean currents), and the &lt;i&gt;Fram&lt;/i&gt; froze into the sea ice off Siberia. As they drifted northwards, Nansen realised that the &lt;i&gt;Fram&lt;/i&gt; was going to miss the pole so he and Hjalmar Johansen left the ship to make for the pole on foot. This was incredible. They knew the ship was drifting and they must have been certain that they would never find her again. The &lt;i&gt;Fram&lt;/i&gt; survived the Arctic drift and reached Svalbard in the summer of 1896. Nansen and Johansen turned back just north of 86&amp;#xB0; N, having reached the highest latitude then attained. After an epic journey across the sea ice they endured the winter of 1895 on the island of Franz Josef Land and then caught a ship back to Norway, arriving only a few days before the &lt;i&gt;Fram&lt;/i&gt; in August 1896 (see Figure 8). &lt;/p&gt;&lt;p&gt;The sea channel between the Svalbard archipelago and Greenland was named the Fram Strait in honour of the famous polar research ship. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:400px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3209440" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/ebb62c7e/4fe6e4ab/u116r_openlearn_f3_06.tif.small.jpg" alt="Described image" style="max-width:400px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3214976"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3209440"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 8&lt;/b&gt; The voyage of the &lt;i&gt;Fram&lt;/i&gt; (solid line) and route of Nansen and Johansen (dashed line) during their expedition of 1893–6 &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3214976&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3214976"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3209440"&gt;&lt;/a&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.3.1</guid>
    <dc:title>2.3.1 Nansen and the voyage of the Fram</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Wood on the shores of Svalbard and East Greenland caused confusion to the first explorers. But when wreckage from a ship called the &lt;i&gt;Jeanette&lt;/i&gt; was found on the coast of East Greenland in the late 19th century, the best environmental scientist of the age, the Norwegian Fridtjof Nansen (Figure 7(a)), had a eureka moment. Nansen knew that the &lt;i&gt;Jeanette&lt;/i&gt; had sunk off Alaska on the other side of the Arctic Ocean and deduced that the wreckage must have been carried across the frozen sea by the sea ice. He decided to try to use the ice drift to reach the North Pole and study the Arctic environment on the journey. He had the ship &lt;i&gt;Fram&lt;/i&gt; (Norwegian for ‘forward’) built (Figure 7(b)). The ship had a round hull so that it would not get crushed like the &lt;i&gt;Jeanette&lt;/i&gt;, and Nansen left Norway in 1893 for the Arctic and the North Pole. It was over three years before he and his colleagues returned. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/8db2bf45/u116r_b2p3_f3_05.eps.jpg" alt="Described image" width="512" height="316" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3204864"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 7&lt;/b&gt; (a) Fridtjof Nansen (1861–1930); (b) his ship the &lt;i&gt;Fram&lt;/i&gt; frozen into the Arctic Ocean and being carried along with the moving ice in the Transpolar Drift Stream &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3204864&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3204864"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Nansen and his crew followed the Russian coast (i.e. against the ocean currents), and the &lt;i&gt;Fram&lt;/i&gt; froze into the sea ice off Siberia. As they drifted northwards, Nansen realised that the &lt;i&gt;Fram&lt;/i&gt; was going to miss the pole so he and Hjalmar Johansen left the ship to make for the pole on foot. This was incredible. They knew the ship was drifting and they must have been certain that they would never find her again. The &lt;i&gt;Fram&lt;/i&gt; survived the Arctic drift and reached Svalbard in the summer of 1896. Nansen and Johansen turned back just north of 86° N, having reached the highest latitude then attained. After an epic journey across the sea ice they endured the winter of 1895 on the island of Franz Josef Land and then caught a ship back to Norway, arriving only a few days before the &lt;i&gt;Fram&lt;/i&gt; in August 1896 (see Figure 8). &lt;/p&gt;&lt;p&gt;The sea channel between the Svalbard archipelago and Greenland was named the Fram Strait in honour of the famous polar research ship. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:400px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3209440" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/ebb62c7e/4fe6e4ab/u116r_openlearn_f3_06.tif.small.jpg" alt="Described image" style="max-width:400px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3214976"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3209440"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 8&lt;/b&gt; The voyage of the &lt;i&gt;Fram&lt;/i&gt; (solid line) and route of Nansen and Johansen (dashed line) during their expedition of 1893–6 &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3214976&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3214976"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3209440"&gt;&lt;/a&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>2.4 Pollutant pathways to the Arctic</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.4</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Winds, ocean currents and flow from rivers can all carry pollutants from their source to the Arctic. On a stereographic plot, the routes of wind-borne contaminants from the warmer, populated areas of Earth to the cooler Arctic are clear (Figure 9). These winds can transport contaminants to the poles, where they are removed from the atmosphere most likely through snowfall and are then absorbed by animals, perhaps through direct contact. &lt;/p&gt;&lt;p&gt;The North Atlantic Current shown in Figure 9 flows directly past the waters off Western Europe, likely to be a major source of PBDEs. For top predators such as polar bears, there is also likely to be biomagnification from the high levels of PBDEs in their prey, the seals. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:429px;" id="fig9"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3218224" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/a035e934/u116r_b2p3_f3_07.eps.small.jpg" alt="Described image" style="max-width:429px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php&amp;amp;extra=longdesc_idp3224064"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3218224"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 9&lt;/b&gt; Transportation pathways for persistent organic pollutants (POPs) to the Arctic. Note the curving path of the wind currents caused by the rotation of the Earth. (adapted from Macdonald et al., 2005)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3224064&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3224064"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3218224"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Overall, the toxicity of POPs to the polar wildlife is not completely clear, but the fact that they are manufactured only in populated regions and yet can be detected in Arctic wildlife is striking. POPs give a graphic demonstration that a region once thought of as remote is clearly physically connected to the rest of the planet. &lt;/p&gt;&lt;p&gt;The poet Nick Drake responded to his experience of the Arctic by writing a series of poems. His &amp;#x2018;one poem in many voices’ &lt;i&gt;The Farewell Glacier&lt;/i&gt; sought to give a voice to people, places and other animals and things related to the region.&lt;/p&gt;&lt;p&gt;Listen to Nick reading two extracts from &lt;i&gt;The Farewell Glacier&lt;/i&gt;, related to themes of the first two sections of this course. The first is about Wally Herbert (1934–2007), the British polar explorer, writer and artist. In 1968–9, Herbert led the British Trans-Arctic Expedition to walk 4000 miles from Alaska to Svalbard, making him the first man confirmed to have walked to the North Pole. &lt;/p&gt;&lt;div id="idm38544" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/c7b11cc6/u116_2017j_vid103e-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 1&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/36eb8422/u116_2017j_vid103e-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/3tf8mswo/u116_2017j_vid103e_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/xfdwpyn5/u116_2017j_vid103e-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/q5p9wnxl/u116_2017j_vid103e-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/d9a8adf9/u116_2017j_vid103e_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/d9a8adf9/u116_2017j_vid103e_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'copyright'&gt;&lt;/div&gt;              &lt;div data-omp-name = 'description'&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 1&lt;/b&gt; Nick Drake&amp;rsquo;s Wally Herbert video&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/c7b11cc6/u116_2017j_vid103e-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/36eb8422/u116_2017j_vid103e-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_5381f11c1"&gt;&lt;div&gt;&lt;a href="#skip_transcript_5381f11c1" class="accesshide"&gt;Skip transcript: Video 1 Nick Drake’s Wally Herbert video&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 1 Nick Drake’s Wally Herbert video&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_5381f11c1"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;NICK DRAKE: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;When I was 12, to win a bet, I walked across the thin ice of the frozen Severn and never looked back. Later, I resolved to walk from Alaska to Svalbard across the sea ice. My Inuit friends left a map pinned to the door, marked with the places they thought I would die. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;It was 3,800 miles. We left in February. 4 men and 40 dogs. And in July, we made camp because the sea ice was not drifting in our favour. When the sun returned, we continued through the next summer to reach 90 degrees north. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Trying to stand on the North Pole was like trying to step on the shadow of a bird circling overhead. I telegraphed the Queen. Two weeks later, a man took the first step on the moon, and by the time we got home, we were forgotten. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;You couldn't walk it now even if you wanted to. Why not? Because the sea ice is melting, and no one can walk on water.&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_5381f11c1"&gt;End transcript: Video 1 Nick Drake’s Wally Herbert video&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_5381f11c1"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab21" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab22" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_5381f11c1"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/c7b11cc6/u116_2017j_vid103e-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 1&lt;/b&gt; Nick Drake’s Wally Herbert video&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.4#idm38544"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Now listen to Nick read his poem on pollutants and how they make their way to the Arctic.&lt;/p&gt;&lt;div id="idm13635776" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/f2a08b51/u116_2017j_vid103f-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 2&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/e10a9025/u116_2017j_vid103f-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/r9zmmi8x/u116_2017j_vid103f_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/plgxyiej/u116_2017j_vid103f-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/729pwchf/u116_2017j_vid103f-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/966ddf73/u116_2017j_vid103f_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/966ddf73/u116_2017j_vid103f_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'copyright'&gt;&lt;/div&gt;              &lt;div data-omp-name = 'description'&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 2&lt;/b&gt; Nick Drake&amp;rsquo;s Mercury video &lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/f2a08b51/u116_2017j_vid103f-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/e10a9025/u116_2017j_vid103f-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_78a18b972"&gt;&lt;div&gt;&lt;a href="#skip_transcript_78a18b972" class="accesshide"&gt;Skip transcript: Video 2 Nick Drake’s Mercury video&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 2 Nick Drake’s Mercury video&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_78a18b972"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;NICK DRAKE:&lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;We were born in your dream of the future. Released by fire, we ascended the winding stairs of the smokestacks until we reached the orange sunrise and the blue sky. No one waved goodbye. One saw us go. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;We were uncountable and invisible. One way or another, we were carried north in the hands of the winds on the wheels of the rivers by the generosity of the ocean. And when we arrived at the cold top of the world, it felt like home sweet home. And we waited in the long darkness until at last the first light of the year transmuted us out of thin air and we came to rest in ice and snow and black water. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Now we accumulate and magnify in the cells of fish, in the eggs of birds, in the warm coats of seals and bears. And in the wombs of mothers, we concentrate so the faces of the future take on our features. And we sing our names into the ears of the unborn-- PCB, POP, DDT, magnesium, technetium, mercury. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_78a18b972"&gt;End transcript: Video 2 Nick Drake’s Mercury video&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_78a18b972"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab23" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab24" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_78a18b972"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/f2a08b51/u116_2017j_vid103f-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 2&lt;/b&gt; Nick Drake’s Mercury video &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.4#idm13635776"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;                    &lt;script&gt;
                        function newtarget(container) {
                            var downloads = document.getElementsByClassName(container),
                                length = downloads.length;
                        
                            for (var i=0; i&lt;length; i++) {
                                var a = downloads[i].getElementsByTagName('a');
                                for (var j = 0; j &lt; a.length; j++) {
                                    a[j].setAttribute('target', '_blank');
                                }
                            }
                        }
                        
                        newtarget('oucontent-media-download');
                    &lt;/script&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.4</guid>
    <dc:title>2.4 Pollutant pathways to the Arctic</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Winds, ocean currents and flow from rivers can all carry pollutants from their source to the Arctic. On a stereographic plot, the routes of wind-borne contaminants from the warmer, populated areas of Earth to the cooler Arctic are clear (Figure 9). These winds can transport contaminants to the poles, where they are removed from the atmosphere most likely through snowfall and are then absorbed by animals, perhaps through direct contact. &lt;/p&gt;&lt;p&gt;The North Atlantic Current shown in Figure 9 flows directly past the waters off Western Europe, likely to be a major source of PBDEs. For top predators such as polar bears, there is also likely to be biomagnification from the high levels of PBDEs in their prey, the seals. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:429px;" id="fig9"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3218224" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/a035e934/u116r_b2p3_f3_07.eps.small.jpg" alt="Described image" style="max-width:429px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php&amp;extra=longdesc_idp3224064"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3218224"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 9&lt;/b&gt; Transportation pathways for persistent organic pollutants (POPs) to the Arctic. Note the curving path of the wind currents caused by the rotation of the Earth. (adapted from Macdonald et al., 2005)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3224064&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3224064"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3218224"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Overall, the toxicity of POPs to the polar wildlife is not completely clear, but the fact that they are manufactured only in populated regions and yet can be detected in Arctic wildlife is striking. POPs give a graphic demonstration that a region once thought of as remote is clearly physically connected to the rest of the planet. &lt;/p&gt;&lt;p&gt;The poet Nick Drake responded to his experience of the Arctic by writing a series of poems. His ‘one poem in many voices’ &lt;i&gt;The Farewell Glacier&lt;/i&gt; sought to give a voice to people, places and other animals and things related to the region.&lt;/p&gt;&lt;p&gt;Listen to Nick reading two extracts from &lt;i&gt;The Farewell Glacier&lt;/i&gt;, related to themes of the first two sections of this course. The first is about Wally Herbert (1934–2007), the British polar explorer, writer and artist. In 1968–9, Herbert led the British Trans-Arctic Expedition to walk 4000 miles from Alaska to Svalbard, making him the first man confirmed to have walked to the North Pole. &lt;/p&gt;&lt;div id="idm38544" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/c7b11cc6/u116_2017j_vid103e-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 1&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/36eb8422/u116_2017j_vid103e-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/3tf8mswo/u116_2017j_vid103e_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/xfdwpyn5/u116_2017j_vid103e-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/q5p9wnxl/u116_2017j_vid103e-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/d9a8adf9/u116_2017j_vid103e_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/d9a8adf9/u116_2017j_vid103e_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'copyright'&gt;&lt;/div&gt;              &lt;div data-omp-name = 'description'&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 1&lt;/b&gt; Nick Drake&rsquo;s Wally Herbert video&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/c7b11cc6/u116_2017j_vid103e-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/36eb8422/u116_2017j_vid103e-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_5381f11c1"&gt;&lt;div&gt;&lt;a href="#skip_transcript_5381f11c1" class="accesshide"&gt;Skip transcript: Video 1 Nick Drake’s Wally Herbert video&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 1 Nick Drake’s Wally Herbert video&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_5381f11c1"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;NICK DRAKE: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;When I was 12, to win a bet, I walked across the thin ice of the frozen Severn and never looked back. Later, I resolved to walk from Alaska to Svalbard across the sea ice. My Inuit friends left a map pinned to the door, marked with the places they thought I would die. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;It was 3,800 miles. We left in February. 4 men and 40 dogs. And in July, we made camp because the sea ice was not drifting in our favour. When the sun returned, we continued through the next summer to reach 90 degrees north. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Trying to stand on the North Pole was like trying to step on the shadow of a bird circling overhead. I telegraphed the Queen. Two weeks later, a man took the first step on the moon, and by the time we got home, we were forgotten. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;You couldn't walk it now even if you wanted to. Why not? Because the sea ice is melting, and no one can walk on water.&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_5381f11c1"&gt;End transcript: Video 1 Nick Drake’s Wally Herbert video&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_5381f11c1"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab21" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab22" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_5381f11c1"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/c7b11cc6/u116_2017j_vid103e-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 1&lt;/b&gt; Nick Drake’s Wally Herbert video&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.4#idm38544"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Now listen to Nick read his poem on pollutants and how they make their way to the Arctic.&lt;/p&gt;&lt;div id="idm13635776" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/f2a08b51/u116_2017j_vid103f-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 2&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/e10a9025/u116_2017j_vid103f-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/r9zmmi8x/u116_2017j_vid103f_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/plgxyiej/u116_2017j_vid103f-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/729pwchf/u116_2017j_vid103f-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/966ddf73/u116_2017j_vid103f_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/966ddf73/u116_2017j_vid103f_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'copyright'&gt;&lt;/div&gt;              &lt;div data-omp-name = 'description'&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 2&lt;/b&gt; Nick Drake&rsquo;s Mercury video &lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/f2a08b51/u116_2017j_vid103f-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/e10a9025/u116_2017j_vid103f-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_78a18b972"&gt;&lt;div&gt;&lt;a href="#skip_transcript_78a18b972" class="accesshide"&gt;Skip transcript: Video 2 Nick Drake’s Mercury video&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 2 Nick Drake’s Mercury video&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_78a18b972"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;NICK DRAKE:&lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;We were born in your dream of the future. Released by fire, we ascended the winding stairs of the smokestacks until we reached the orange sunrise and the blue sky. No one waved goodbye. One saw us go. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;We were uncountable and invisible. One way or another, we were carried north in the hands of the winds on the wheels of the rivers by the generosity of the ocean. And when we arrived at the cold top of the world, it felt like home sweet home. And we waited in the long darkness until at last the first light of the year transmuted us out of thin air and we came to rest in ice and snow and black water. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Now we accumulate and magnify in the cells of fish, in the eggs of birds, in the warm coats of seals and bears. And in the wombs of mothers, we concentrate so the faces of the future take on our features. And we sing our names into the ears of the unborn-- PCB, POP, DDT, magnesium, technetium, mercury. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_78a18b972"&gt;End transcript: Video 2 Nick Drake’s Mercury video&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_78a18b972"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab23" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab24" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_78a18b972"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/f2a08b51/u116_2017j_vid103f-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 2&lt;/b&gt; Nick Drake’s Mercury video &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.4#idm13635776"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;                    &lt;script&gt;
                        function newtarget(container) {
                            var downloads = document.getElementsByClassName(container),
                                length = downloads.length;
                        
                            for (var i=0; i&lt;length; i++) {
                                var a = downloads[i].getElementsByTagName('a');
                                for (var j = 0; j &lt; a.length; j++) {
                                    a[j].setAttribute('target', '_blank');
                                }
                            }
                        }
                        
                        newtarget('oucontent-media-download');
                    &lt;/script&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>2.5 Summary of Section 2</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.5</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Differences between the albedo and specific heat capacity of terrains mean that they heat up at different rates. Air in contact with the warm terrain rises in convection currents, and horizontal winds are set up across the whole planet. The winds can transport pollutants such as PBDEs to the Arctic, where they are deposited in snowfall and as a result can be detected in Arctic wildlife. Ocean currents and rivers can also transport pollution into the Arctic. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.5</guid>
    <dc:title>2.5 Summary of Section 2</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Differences between the albedo and specific heat capacity of terrains mean that they heat up at different rates. Air in contact with the warm terrain rises in convection currents, and horizontal winds are set up across the whole planet. The winds can transport pollutants such as PBDEs to the Arctic, where they are deposited in snowfall and as a result can be detected in Arctic wildlife. Ocean currents and rivers can also transport pollution into the Arctic. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3 The ice time machine</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Snowfall differs depending on whether it falls in summer (when snow is comparatively warm and moist) or winter (when snow is cold and dry). These differences mean that when snow turns into ice, on the surfaces of glaciers and ice sheets, it is possible to see distinct annual layers. The layers are in a sense similar to tree rings: thick annual layers mean high snowfall, and thin annual layers mean low snowfall. &lt;/p&gt;&lt;p&gt;The accumulation of snowfall on the Greenland and Antarctic ice sheets – and most importantly what is trapped within the crystals as it turns to ice – can provide a record of the past. Digging down into the ice cap is equivalent to going back in time through the snowfall of previous years and you have to dig down a long way (equivalent perhaps to 300 years of snowfall) before reaching the ice. &lt;/p&gt;&lt;p&gt;To make the digging back in time easier, a drilling rig that extracts ice cores about 13&amp;#x2009;cm in diameter is used to get to very deep levels (Figure 10(a)). Once extracted, the annual layers in the cores are clear (Figure 10(b)). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/11d2b4d2/u116r_b2p3_f3_08a.tif.jpg" alt="Described image" width="512" height="413" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php&amp;amp;extra=longdesc_idp3253088"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 10&lt;/b&gt; (a) The NEEM (North Greenland Eemian Ice Drilling, where Eemian is the name of the last interglacial period) ice camp on the summit of the Greenland ice cap being dragged nearly 500&amp;#x2009;km to a new location to become EastGRIP (East Greenland Ice-core Project).&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3253088&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3253088"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/d68af18c/u116r_b2p3_f3_08b.tif.jpg" alt="Described image" width="512" height="354" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php&amp;amp;extra=longdesc_idp3257616"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 10&lt;/b&gt;(b) Annual layers in a model of a Greenland ice core. Light bands represent summer and dark bands represent winter. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3257616&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3257616"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The British Antarctic Survey (BAS) is world renowned for its polar research, including analysis of ice cores. Video 3 visits the BAS research laboratories in Cambridge, UK where Liz Thomas, head of ice core research at BAS, explains how ice cores can provide a time capsule of past snow falls that record what past atmosphere and climates were like.&lt;/p&gt;&lt;div id="idp49754400" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/4d311276/u116_2017j_vid101-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 3&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/60f7f2b7/u116_2017j_vid101-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/xrawjnvw/u116_2017j_vid101_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/8geoxzfg/u116_2017j_vid101-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/4lufyr91/u116_2017j_vid101-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/64f1c952/u116_2017j_vid101_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/64f1c952/u116_2017j_vid101_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 3&lt;/b&gt; British Antarctic Survey (BAS) and its polar research&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/4d311276/u116_2017j_vid101-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/60f7f2b7/u116_2017j_vid101-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_82e85c243"&gt;&lt;div&gt;&lt;a href="#skip_transcript_82e85c243" class="accesshide"&gt;Skip transcript: Video 3 British Antarctic Survey (BAS) and its polar research&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 3 British Antarctic Survey (BAS) and its polar research&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_82e85c243"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Climate science is a global endeavour involving scientists of every kind from every nation. The British have a long history of polar exploration and science, and much of it is carried out at the British Antarctic Survey. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Hello, I'm Dr. Tamsin Edwards. I'm a lecturer in environmental sciences at the Open University. And I'm a modeller. I use computer models to study environmental change in the past and the future. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Today I'd like to explore how it is we know what we know about climate change. How do we do scientific research? How do we use the data that we collect? So I've come here to the British Antarctic Survey, which is one of the institutes that has really key research into climate change to find that more. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;LIZ THOMAS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Here at the British Antarctic Survey, we conduct a range of research centred around climate change. So we investigate the atmosphere-- looking at the air-- and we investigate oceans-- oceanography. And we also look at the ice. In this country, when it snows, if you're lucky, you get to make a snowman. And then it melts. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;But in Antarctica you don't get that. So each year, the snow will build up. Year on year, you'll get it. And so you build up with these huge, great ice sheets. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And what we can then do is we drill the ice core through this. And it's like going back in time. So we get a time capsule which can actually record what the Earth's atmosphere and what the climate was like at the time when that snow fell. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And we can do this over years. We can drill down just shallow cores. Or we can actually drill back hundreds, thousands, and even close to a million years. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;So one of the things that we particularly focus on here is actually looking at the chemistry of the ice cores. The chemistry can actually give us indications of what's happening in the sea ice, can tell us about the atmosphere, so we can see how the atmosphere gets dustier during the winter, as there's more storms, and less dusty during the summer periods. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And we can also look at the bubbles trapped in the ice. And this is particularly interesting, because that catches records of the Earth's atmosphere, particularly things like greenhouse gases-- carbon dioxide and methane. And we can not only see what the atmosphere was like at the time the snow fell, we can then take that backwards in time nearly a million years. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;So we're now in the Ice Core Labs, kept at minus 20. And this is where we see the majority of our work. When we bring the cores back from Antarctica or from the Arctic, we actually cut and subsample the ice here. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;So what I've got over here is actually one of the cores that we've drilled. And this is from a particularly deep core that we retrieved. And this is actually the bottom core. And we estimate that the age down at the bottom is 140,000 years. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So what have you over here then? &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;LIZ THOMAS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So one of the really interesting things and really valuable things in terms of the ice core research is that we can actually get a record of volcanic eruption. So what we can see here, if you look up, we've got a sort of dark band, a grey mark. That's actually the volcanic eruption. So that's actually physically the ash from the volcano. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And the really useful thing about that is that it allows us to date the core, because some of these big volcanic eruptions, we actually have historical records from the time that they erupted. And we can use this to not only provide the date of the core that we're drilling, potentially in Antarctica, but also some of these very big volcanic eruptions, the same volcanic signal will show in Antartica core as it would all the way up in Greenland. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;And I see you've got some spare bits. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;LIZ THOMAS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;These are just some offcuts. So as we come back and we process the core and we divide it up for samples, these are some of the chippings and some of the offcuts. And what I really want to see here is that you can actually look. And these tiny little white dots are actually the bubbles. So this you can see, visually, how the ice has been trapped into these bubbles. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;So when we talk about being able to look at how the atmosphere of the earth has changed, particularly these big important gases-- the greenhouse gases-- what we actually mean is we take this section of ice, you melt it, the air comes out of those bubbles. And then we have a record of what the atmosphere was like. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So you literally just melt the ice, and the bubbles come out, almost just like a fizzy drink. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;LIZ THOMAS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Exactly. Just like a fizzy drink. And actually we were standing outside, you'd start to hear them now, very much fizzing and crackling as air that's potentially been trapped in here for thousands of years becomes reintroduced to the Earth's atmosphere again. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;We've heard about how ice cores provide a really amazing record of the past of our planet. I'd like to talk now to my colleague Mark Brandon about the present. Mark, you're a polar oceanographer. I know you go out into the field to difficult environments. Tell me the kinds of things that you're measuring. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;MARK BRANDON: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So as a polar oceanographer, I'm interested in how the ocean is interacting with what I call the cryosphere. That's the frozen parts of our planet. So I've been out on ships and working on the frozen oceans in the Arctic and the Antarctic and making measurements around the continents. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So I'm a computer modeller. I use data like use in my work. I study Antarctica. This is a model of the bedrock underneath Antarctica. And I know that one of the areas you've worked in is down here in the Amundsen Sea area. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;MARK BRANDON: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So I was on a ship that was working down at the edge of the ice front in the Amundsen Sea. And we were working out on decking conditions of about minus 20. And we were deploying this equipment, which measured the temperature and salinity of the ocean from the surface right the way down to the seabed. And what about enabled us to do is to work out how much heat is in the ocean, and how much of the heat is flowing towards Antarctica. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And what we found was the heat from the ocean is responsible for melting about 10 metres a year. That's one of parts of Antarctica that's melting the most rapidly at the moment. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Now 10 metres a year might not sound like that much, but of course it all adds up. And I think the key to thinking about how science works is we put all of this information together. We have different kinds of data from around the world and different kinds of scientists. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And we feed that into computer models-- like I use-- to try and make predictions. And what I'm particularly interested in is the uncertainty in those predictions. It's a huge scientific effort to put all this information together and try and work out the range of possible futures that we face. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_82e85c243"&gt;End transcript: Video 3 British Antarctic Survey (BAS) and its polar research&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_82e85c243"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab25" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab26" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_82e85c243"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/4d311276/u116_2017j_vid101-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 3&lt;/b&gt; British Antarctic Survey (BAS) and its polar research&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3#idp49754400"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;&lt;p&gt;The next section shows you how ice cores are extracted and illustrates how data from ice core analyses can be used to help develop our understanding of past atmospheric conditions.&lt;/p&gt;                    &lt;script&gt;
                        function newtarget(container) {
                            var downloads = document.getElementsByClassName(container),
                                length = downloads.length;
                        
                            for (var i=0; i&lt;length; i++) {
                                var a = downloads[i].getElementsByTagName('a');
                                for (var j = 0; j &lt; a.length; j++) {
                                    a[j].setAttribute('target', '_blank');
                                }
                            }
                        }
                        
                        newtarget('oucontent-media-download');
                    &lt;/script&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3</guid>
    <dc:title>3 The ice time machine</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Snowfall differs depending on whether it falls in summer (when snow is comparatively warm and moist) or winter (when snow is cold and dry). These differences mean that when snow turns into ice, on the surfaces of glaciers and ice sheets, it is possible to see distinct annual layers. The layers are in a sense similar to tree rings: thick annual layers mean high snowfall, and thin annual layers mean low snowfall. &lt;/p&gt;&lt;p&gt;The accumulation of snowfall on the Greenland and Antarctic ice sheets – and most importantly what is trapped within the crystals as it turns to ice – can provide a record of the past. Digging down into the ice cap is equivalent to going back in time through the snowfall of previous years and you have to dig down a long way (equivalent perhaps to 300 years of snowfall) before reaching the ice. &lt;/p&gt;&lt;p&gt;To make the digging back in time easier, a drilling rig that extracts ice cores about 13 cm in diameter is used to get to very deep levels (Figure 10(a)). Once extracted, the annual layers in the cores are clear (Figure 10(b)). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/11d2b4d2/u116r_b2p3_f3_08a.tif.jpg" alt="Described image" width="512" height="413" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php&amp;extra=longdesc_idp3253088"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 10&lt;/b&gt; (a) The NEEM (North Greenland Eemian Ice Drilling, where Eemian is the name of the last interglacial period) ice camp on the summit of the Greenland ice cap being dragged nearly 500 km to a new location to become EastGRIP (East Greenland Ice-core Project).&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3253088&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3253088"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/d68af18c/u116r_b2p3_f3_08b.tif.jpg" alt="Described image" width="512" height="354" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php&amp;extra=longdesc_idp3257616"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 10&lt;/b&gt;(b) Annual layers in a model of a Greenland ice core. Light bands represent summer and dark bands represent winter. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3257616&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3257616"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The British Antarctic Survey (BAS) is world renowned for its polar research, including analysis of ice cores. Video 3 visits the BAS research laboratories in Cambridge, UK where Liz Thomas, head of ice core research at BAS, explains how ice cores can provide a time capsule of past snow falls that record what past atmosphere and climates were like.&lt;/p&gt;&lt;div id="idp49754400" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/4d311276/u116_2017j_vid101-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 3&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/60f7f2b7/u116_2017j_vid101-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/xrawjnvw/u116_2017j_vid101_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/8geoxzfg/u116_2017j_vid101-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/4lufyr91/u116_2017j_vid101-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/64f1c952/u116_2017j_vid101_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/64f1c952/u116_2017j_vid101_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 3&lt;/b&gt; British Antarctic Survey (BAS) and its polar research&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/4d311276/u116_2017j_vid101-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/60f7f2b7/u116_2017j_vid101-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_82e85c243"&gt;&lt;div&gt;&lt;a href="#skip_transcript_82e85c243" class="accesshide"&gt;Skip transcript: Video 3 British Antarctic Survey (BAS) and its polar research&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 3 British Antarctic Survey (BAS) and its polar research&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_82e85c243"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Climate science is a global endeavour involving scientists of every kind from every nation. The British have a long history of polar exploration and science, and much of it is carried out at the British Antarctic Survey. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Hello, I'm Dr. Tamsin Edwards. I'm a lecturer in environmental sciences at the Open University. And I'm a modeller. I use computer models to study environmental change in the past and the future. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Today I'd like to explore how it is we know what we know about climate change. How do we do scientific research? How do we use the data that we collect? So I've come here to the British Antarctic Survey, which is one of the institutes that has really key research into climate change to find that more. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;LIZ THOMAS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Here at the British Antarctic Survey, we conduct a range of research centred around climate change. So we investigate the atmosphere-- looking at the air-- and we investigate oceans-- oceanography. And we also look at the ice. In this country, when it snows, if you're lucky, you get to make a snowman. And then it melts. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;But in Antarctica you don't get that. So each year, the snow will build up. Year on year, you'll get it. And so you build up with these huge, great ice sheets. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And what we can then do is we drill the ice core through this. And it's like going back in time. So we get a time capsule which can actually record what the Earth's atmosphere and what the climate was like at the time when that snow fell. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And we can do this over years. We can drill down just shallow cores. Or we can actually drill back hundreds, thousands, and even close to a million years. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;So one of the things that we particularly focus on here is actually looking at the chemistry of the ice cores. The chemistry can actually give us indications of what's happening in the sea ice, can tell us about the atmosphere, so we can see how the atmosphere gets dustier during the winter, as there's more storms, and less dusty during the summer periods. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And we can also look at the bubbles trapped in the ice. And this is particularly interesting, because that catches records of the Earth's atmosphere, particularly things like greenhouse gases-- carbon dioxide and methane. And we can not only see what the atmosphere was like at the time the snow fell, we can then take that backwards in time nearly a million years. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;So we're now in the Ice Core Labs, kept at minus 20. And this is where we see the majority of our work. When we bring the cores back from Antarctica or from the Arctic, we actually cut and subsample the ice here. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;So what I've got over here is actually one of the cores that we've drilled. And this is from a particularly deep core that we retrieved. And this is actually the bottom core. And we estimate that the age down at the bottom is 140,000 years. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So what have you over here then? &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;LIZ THOMAS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So one of the really interesting things and really valuable things in terms of the ice core research is that we can actually get a record of volcanic eruption. So what we can see here, if you look up, we've got a sort of dark band, a grey mark. That's actually the volcanic eruption. So that's actually physically the ash from the volcano. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And the really useful thing about that is that it allows us to date the core, because some of these big volcanic eruptions, we actually have historical records from the time that they erupted. And we can use this to not only provide the date of the core that we're drilling, potentially in Antarctica, but also some of these very big volcanic eruptions, the same volcanic signal will show in Antartica core as it would all the way up in Greenland. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;And I see you've got some spare bits. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;LIZ THOMAS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;These are just some offcuts. So as we come back and we process the core and we divide it up for samples, these are some of the chippings and some of the offcuts. And what I really want to see here is that you can actually look. And these tiny little white dots are actually the bubbles. So this you can see, visually, how the ice has been trapped into these bubbles. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;So when we talk about being able to look at how the atmosphere of the earth has changed, particularly these big important gases-- the greenhouse gases-- what we actually mean is we take this section of ice, you melt it, the air comes out of those bubbles. And then we have a record of what the atmosphere was like. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So you literally just melt the ice, and the bubbles come out, almost just like a fizzy drink. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;LIZ THOMAS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Exactly. Just like a fizzy drink. And actually we were standing outside, you'd start to hear them now, very much fizzing and crackling as air that's potentially been trapped in here for thousands of years becomes reintroduced to the Earth's atmosphere again. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;We've heard about how ice cores provide a really amazing record of the past of our planet. I'd like to talk now to my colleague Mark Brandon about the present. Mark, you're a polar oceanographer. I know you go out into the field to difficult environments. Tell me the kinds of things that you're measuring. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;MARK BRANDON: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So as a polar oceanographer, I'm interested in how the ocean is interacting with what I call the cryosphere. That's the frozen parts of our planet. So I've been out on ships and working on the frozen oceans in the Arctic and the Antarctic and making measurements around the continents. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So I'm a computer modeller. I use data like use in my work. I study Antarctica. This is a model of the bedrock underneath Antarctica. And I know that one of the areas you've worked in is down here in the Amundsen Sea area. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;MARK BRANDON: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;So I was on a ship that was working down at the edge of the ice front in the Amundsen Sea. And we were working out on decking conditions of about minus 20. And we were deploying this equipment, which measured the temperature and salinity of the ocean from the surface right the way down to the seabed. And what about enabled us to do is to work out how much heat is in the ocean, and how much of the heat is flowing towards Antarctica. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And what we found was the heat from the ocean is responsible for melting about 10 metres a year. That's one of parts of Antarctica that's melting the most rapidly at the moment. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;TAMSIN EDWARDS: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Now 10 metres a year might not sound like that much, but of course it all adds up. And I think the key to thinking about how science works is we put all of this information together. We have different kinds of data from around the world and different kinds of scientists. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;And we feed that into computer models-- like I use-- to try and make predictions. And what I'm particularly interested in is the uncertainty in those predictions. It's a huge scientific effort to put all this information together and try and work out the range of possible futures that we face. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_82e85c243"&gt;End transcript: Video 3 British Antarctic Survey (BAS) and its polar research&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_82e85c243"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab25" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab26" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_82e85c243"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/4d311276/u116_2017j_vid101-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 3&lt;/b&gt; British Antarctic Survey (BAS) and its polar research&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3#idp49754400"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;&lt;p&gt;The next section shows you how ice cores are extracted and illustrates how data from ice core analyses can be used to help develop our understanding of past atmospheric conditions.&lt;/p&gt;                    &lt;script&gt;
                        function newtarget(container) {
                            var downloads = document.getElementsByClassName(container),
                                length = downloads.length;
                        
                            for (var i=0; i&lt;length; i++) {
                                var a = downloads[i].getElementsByTagName('a');
                                for (var j = 0; j &lt; a.length; j++) {
                                    a[j].setAttribute('target', '_blank');
                                }
                            }
                        }
                        
                        newtarget('oucontent-media-download');
                    &lt;/script&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.1 Ice cores and the atmosphere</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Analysis of ice cores collected in the Polar Regions can also tell us about how the climate has changed. Watch Video 4 which shows how scientists extract cores from the ice sheets and then saw them up for analysis in a laboratory.&lt;/p&gt;&lt;div id="idp60688" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7b95c973/u116_2009j_b2_v012-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 4&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/6c3ce417/u116_2009j_b2_v012-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7tvfcnby/u116_2009j_b2_v012_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/l8rglne0/u116_2009j_b2_v012-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/8uz6wopi/u116_2009j_b2_v012-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/d82007ce/u116_2009j_b2_v012_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/d82007ce/u116_2009j_b2_v012_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 4&lt;/b&gt; Ice core drilling&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7b95c973/u116_2009j_b2_v012-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/6c3ce417/u116_2009j_b2_v012-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_06e651084"&gt;&lt;div&gt;&lt;a href="#skip_transcript_06e651084" class="accesshide"&gt;Skip transcript: Video 4 Ice core drilling&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 4 Ice core drilling&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_06e651084"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;SUBJECT 1:&lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;We're at the corner of [INAUDIBLE].&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;SUBJECT 2: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Might stick a radio about him if he's got a laptop.&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;[INDISTINCT CONVERSATIONS]&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;[WHIRRING]&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Up it goes!&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;[WHIRRING]&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;SUBJECT 3:&lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Well, that's a nice piece I cut, about two metres long. And around about here is 500-metres depth from the surface. And that's ice that fell as snow about 5,800 years ago.&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;[WHIRRING]&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_06e651084"&gt;End transcript: Video 4 Ice core drilling&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_06e651084"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab27" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab28" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_06e651084"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7b95c973/u116_2009j_b2_v012-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 4&lt;/b&gt; Ice core drilling&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.1#idp60688"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;&lt;p&gt;In addition to looking at snowfall, the use of different chemical and physical techniques to analyse ice cores can tell you about dust and pollen in the atmosphere, past volcanic activity, and even the industrial production of civilisations long past. For example, Figure 11 shows the concentrations of lead in the ice of different ages, and compares it with the recorded production of lead starting with the discovery of &amp;#x2018;cupellation’ (separating precious metals like silver from base metals like lead). &lt;/p&gt;&lt;p&gt;Notice that the vertical axis of the lead production graph in Figure 11(a) is a logarithmic scale. Each successive tick mark up the axis has a value ten times bigger than the previous one. For example, 100 is equal to 1, 10&lt;sup&gt;2&lt;/sup&gt; is equal to 100, and the tick mark between them is 10&lt;sup&gt;1&lt;/sup&gt; (i.e. 10). A logarithmic axis enables changes over a large range to be compressed onto a small scale. &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini" id="fig11"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3297296" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/3d8ac33f/u116r_b2p3_f3_09.eps.small.jpg" alt="Described image" style="max-width:334px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3303088"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3297296"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 11&lt;/b&gt; (a) Global lead production; (b) the concentration of lead in a Greenland ice core (years before present or &amp;#x2018;BP’) (adapted from Hong et al., 1994) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3303088&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3303088"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3297296"&gt;&lt;/a&gt;&lt;/div&gt;                    &lt;script&gt;
                        function newtarget(container) {
                            var downloads = document.getElementsByClassName(container),
                                length = downloads.length;
                        
                            for (var i=0; i&lt;length; i++) {
                                var a = downloads[i].getElementsByTagName('a');
                                for (var j = 0; j &lt; a.length; j++) {
                                    a[j].setAttribute('target', '_blank');
                                }
                            }
                        }
                        
                        newtarget('oucontent-media-download');
                    &lt;/script&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.1</guid>
    <dc:title>3.1 Ice cores and the atmosphere</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Analysis of ice cores collected in the Polar Regions can also tell us about how the climate has changed. Watch Video 4 which shows how scientists extract cores from the ice sheets and then saw them up for analysis in a laboratory.&lt;/p&gt;&lt;div id="idp60688" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7b95c973/u116_2009j_b2_v012-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 4&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/6c3ce417/u116_2009j_b2_v012-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7tvfcnby/u116_2009j_b2_v012_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/l8rglne0/u116_2009j_b2_v012-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/8uz6wopi/u116_2009j_b2_v012-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/d82007ce/u116_2009j_b2_v012_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/d82007ce/u116_2009j_b2_v012_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 4&lt;/b&gt; Ice core drilling&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7b95c973/u116_2009j_b2_v012-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/6c3ce417/u116_2009j_b2_v012-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_06e651084"&gt;&lt;div&gt;&lt;a href="#skip_transcript_06e651084" class="accesshide"&gt;Skip transcript: Video 4 Ice core drilling&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 4 Ice core drilling&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_06e651084"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;SUBJECT 1:&lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;We're at the corner of [INAUDIBLE].&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;SUBJECT 2: &lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Might stick a radio about him if he's got a laptop.&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;[INDISTINCT CONVERSATIONS]&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;[WHIRRING]&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Up it goes!&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;[WHIRRING]&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;SUBJECT 3:&lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;Well, that's a nice piece I cut, about two metres long. And around about here is 500-metres depth from the surface. And that's ice that fell as snow about 5,800 years ago.&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;[WHIRRING]&lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_06e651084"&gt;End transcript: Video 4 Ice core drilling&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_06e651084"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab27" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab28" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_06e651084"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7b95c973/u116_2009j_b2_v012-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 4&lt;/b&gt; Ice core drilling&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.1#idp60688"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;&lt;p&gt;In addition to looking at snowfall, the use of different chemical and physical techniques to analyse ice cores can tell you about dust and pollen in the atmosphere, past volcanic activity, and even the industrial production of civilisations long past. For example, Figure 11 shows the concentrations of lead in the ice of different ages, and compares it with the recorded production of lead starting with the discovery of ‘cupellation’ (separating precious metals like silver from base metals like lead). &lt;/p&gt;&lt;p&gt;Notice that the vertical axis of the lead production graph in Figure 11(a) is a logarithmic scale. Each successive tick mark up the axis has a value ten times bigger than the previous one. For example, 100 is equal to 1, 10&lt;sup&gt;2&lt;/sup&gt; is equal to 100, and the tick mark between them is 10&lt;sup&gt;1&lt;/sup&gt; (i.e. 10). A logarithmic axis enables changes over a large range to be compressed onto a small scale. &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini" id="fig11"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3297296" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/3d8ac33f/u116r_b2p3_f3_09.eps.small.jpg" alt="Described image" style="max-width:334px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3303088"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3297296"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 11&lt;/b&gt; (a) Global lead production; (b) the concentration of lead in a Greenland ice core (years before present or ‘BP’) (adapted from Hong et al., 1994) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3303088&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3303088"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3297296"&gt;&lt;/a&gt;&lt;/div&gt;                    &lt;script&gt;
                        function newtarget(container) {
                            var downloads = document.getElementsByClassName(container),
                                length = downloads.length;
                        
                            for (var i=0; i&lt;length; i++) {
                                var a = downloads[i].getElementsByTagName('a');
                                for (var j = 0; j &lt; a.length; j++) {
                                    a[j].setAttribute('target', '_blank');
                                }
                            }
                        }
                        
                        newtarget('oucontent-media-download');
                    &lt;/script&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.1.1 Powers of ten and scientific notation</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.1.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;In this study note you will look at how to write small and large numbers using scientific notation.&lt;/p&gt;&lt;div class="oucontent-studynote oucontent-s-gradient oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Study note: Powers of ten and scientific notation&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;Figure 11(a) shows the production of lead in tonnes (also known as metric tons) on a scale using different powers of ten (10&lt;sup&gt;0&lt;/sup&gt;, 10&lt;sup&gt;2&lt;/sup&gt;, etc.). When you see numbers written down, it is quite easy to read and understand them when they have few digits; for example, 0.01, 0.5, 4, 15 or 132. But when numbers have a lot of digits, for example, a small number such as 0.0000067, or a very large number such as 1&amp;#x2009;700&amp;#x2009;000&amp;#x2009;000, they are less easy to read, and consequently it is harder to understand what they are telling you. For example, if you are asked to say &amp;#x2018;75 kg’ you would probably respond immediately with &amp;#x2018;seventy-five kilograms’. But if you were asked to say the mass 330000000 tonnes, you would probably have to start counting the zeros. &lt;/p&gt;&lt;p&gt;To make large and small numbers easier to comprehend, there are two options. One is to use the prefixes for words illustrated in Table 2 below. The other is to use numbers as in the final column of Table 2 which is labelled &amp;#x2018;Power of ten’, where the power is the number of tens that are multiplied together. For example, 10&lt;sup&gt;2&lt;/sup&gt;, which you would say as &amp;#x2018;ten to the power of 2’, means that two tens are multiplied together (i.e. 10 &amp;#xD7; 10). So &lt;/p&gt;&lt;p&gt;10&lt;sup&gt;2&lt;/sup&gt; = 100.&lt;/p&gt;&lt;p&gt;Similarly, ten to the power of three (i.e. 10 &amp;#xD7; 10 &amp;#xD7; 10) is&lt;/p&gt;&lt;p&gt;10&lt;sup&gt;3&lt;/sup&gt; = 1000.&lt;/p&gt;&lt;p&gt;And so on. Clearly, 10&lt;sup&gt;7&lt;/sup&gt; is easier to understand than 10&amp;#x2009;000&amp;#x2009;000. Note that 10&lt;sup&gt;1&lt;/sup&gt; implies just one ten, that is, 10&lt;sup&gt;1&lt;/sup&gt; = 10, so you do not add the power 1 in this case. When dealing with powers of 10 you could also just say that the power is the number of zeros after the 1, so 10&lt;sup&gt;0&lt;/sup&gt; is just the number 1. &lt;/p&gt;&lt;p&gt;That covers numbers greater than 1, but what about numbers less than 1 such as 0.1? In powers of ten this would be written as 1 divided by 10, so &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="e5ac9c8d1b083a80ce7d89edae13dd79e11ff1cc"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_3d" height="37px" role="math" style="vertical-align: -13px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -1413.5773 4001.6 2179.2650" width="67.9400px"&gt;

&lt;desc id="eq_44c947b2_3d"&gt;one divided by 10 equals 0.1&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_3MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_3MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_3MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" id="eq_44c947b2_3MJMAIN-2E" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="1130" x="0" y="220"/&gt;
 &lt;use x="312" xlink:href="#eq_44c947b2_3MJMAIN-31" y="676"/&gt;
&lt;g transform="translate(60,-696)"&gt;
 &lt;use xlink:href="#eq_44c947b2_3MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_3MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
 &lt;use x="1647" xlink:href="#eq_44c947b2_3MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(2708,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_3MJMAIN-30"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_3MJMAIN-2E" y="0"/&gt;
 &lt;use x="788" xlink:href="#eq_44c947b2_3MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;and this is written as 10&lt;sup&gt;–1&lt;/sup&gt;. Similarly, 10&lt;sup&gt;–4&lt;/sup&gt; is 1 divided by 10 four times: &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="1cbceae9055ae48ef9ea36a049f362cfd2cf3ea6"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_4d" height="37px" role="math" style="vertical-align: -13px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -1413.5773 15588.2 2179.2650" width="264.6596px"&gt;

&lt;desc id="eq_44c947b2_4d"&gt;equation sequence 10 super negative four equals one divided by 10 multiplication 10 multiplication 10 multiplication 10 equals 0.0001&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_4MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_4MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_4MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_4MJMAIN-34" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_4MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z" id="eq_44c947b2_4MJMAIN-D7" stroke-width="10"/&gt;
&lt;path d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" id="eq_44c947b2_4MJMAIN-2E" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
&lt;g transform="translate(1010,412)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_4MJMAIN-2212" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="783" xlink:href="#eq_44c947b2_4MJMAIN-34" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="2298" xlink:href="#eq_44c947b2_4MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(3081,0)"&gt;
&lt;g transform="translate(397,0)"&gt;
&lt;rect height="60" stroke="none" width="7842" x="0" y="220"/&gt;
 &lt;use x="3668" xlink:href="#eq_44c947b2_4MJMAIN-31" y="676"/&gt;
&lt;g transform="translate(60,-696)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
 &lt;use x="1232" xlink:href="#eq_44c947b2_4MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(2237,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="3469" xlink:href="#eq_44c947b2_4MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(4474,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="5707" xlink:href="#eq_44c947b2_4MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(6712,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
 &lt;use x="11719" xlink:href="#eq_44c947b2_4MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(12780,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-30"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-2E" y="0"/&gt;
 &lt;use x="788" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
 &lt;use x="1293" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
 &lt;use x="1798" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
 &lt;use x="2303" xlink:href="#eq_44c947b2_4MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;So how would you write the number 150 using powers of 10? The number 150 is 1.5 &amp;#xD7; 10 &amp;#xD7; 10, so would be written 1.5 &amp;#xD7; 10&lt;sup&gt;2&lt;/sup&gt;. This form of writing numbers is known as scientific notation. A number written in scientific notation always looks like this: &lt;/p&gt;&lt;p&gt;(number between 1 and 10) &amp;#xD7; 10&lt;sup&gt;some power&lt;/sup&gt;.&lt;/p&gt;&lt;p&gt;This superscript notation can also be used to show powers of units. For example:&lt;/p&gt;&lt;p&gt;Square kilometres (for area):&lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="a25c1be83ca82c098d474610d5248531b02b1f98"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_5d" height="17px" role="math" style="vertical-align: -1px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -942.3849 13454.1 1001.2839" width="228.4264px"&gt;

&lt;desc id="eq_44c947b2_5d"&gt;equation left hand side km super two equals right hand side kilometres multiplication kilometres&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36Z" id="eq_44c947b2_5MJMAIN-6B" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_5MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" id="eq_44c947b2_5MJMAIN-32" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_5MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_5MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_5MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_5MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_5MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_5MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_5MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_5MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z" id="eq_44c947b2_5MJMAIN-D7" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_5MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_5MJMAIN-6D" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1938" xlink:href="#eq_44c947b2_5MJMAIN-32" y="610"/&gt;
 &lt;use x="2105" xlink:href="#eq_44c947b2_5MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(3166,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_5MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_5MJMAIN-69" y="0"/&gt;
 &lt;use x="816" xlink:href="#eq_44c947b2_5MJMAIN-6C" y="0"/&gt;
 &lt;use x="1099" xlink:href="#eq_44c947b2_5MJMAIN-6F" y="0"/&gt;
 &lt;use x="1604" xlink:href="#eq_44c947b2_5MJMAIN-6D" y="0"/&gt;
 &lt;use x="2442" xlink:href="#eq_44c947b2_5MJMAIN-65" y="0"/&gt;
 &lt;use x="2891" xlink:href="#eq_44c947b2_5MJMAIN-74" y="0"/&gt;
 &lt;use x="3285" xlink:href="#eq_44c947b2_5MJMAIN-72" y="0"/&gt;
 &lt;use x="3682" xlink:href="#eq_44c947b2_5MJMAIN-65" y="0"/&gt;
 &lt;use x="4131" xlink:href="#eq_44c947b2_5MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="7918" xlink:href="#eq_44c947b2_5MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(8924,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_5MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_5MJMAIN-69" y="0"/&gt;
 &lt;use x="816" xlink:href="#eq_44c947b2_5MJMAIN-6C" y="0"/&gt;
 &lt;use x="1099" xlink:href="#eq_44c947b2_5MJMAIN-6F" y="0"/&gt;
 &lt;use x="1604" xlink:href="#eq_44c947b2_5MJMAIN-6D" y="0"/&gt;
 &lt;use x="2442" xlink:href="#eq_44c947b2_5MJMAIN-65" y="0"/&gt;
 &lt;use x="2891" xlink:href="#eq_44c947b2_5MJMAIN-74" y="0"/&gt;
 &lt;use x="3285" xlink:href="#eq_44c947b2_5MJMAIN-72" y="0"/&gt;
 &lt;use x="3682" xlink:href="#eq_44c947b2_5MJMAIN-65" y="0"/&gt;
 &lt;use x="4131" xlink:href="#eq_44c947b2_5MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;Metres per second (for speed): &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="9e19adc3e15fbd56f95ba693007269a90a1c133b"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_6d" height="36px" role="math" style="vertical-align: -13px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -1354.6782 6872.3 2120.3659" width="116.6793px"&gt;

&lt;desc id="eq_44c947b2_6d"&gt;m equation left hand side s super negative one equals right hand side metres divided by second&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_6MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_6MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_6MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_6MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_6MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_6MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_6MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_6MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_6MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_6MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_6MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" id="eq_44c947b2_6MJMAIN-64" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_6MJMAIN-6D" y="0"/&gt;
&lt;g transform="translate(838,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_6MJMAIN-73" y="0"/&gt;
&lt;g transform="translate(399,412)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_6MJMAIN-2212" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="783" xlink:href="#eq_44c947b2_6MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
 &lt;use x="2525" xlink:href="#eq_44c947b2_6MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(3308,0)"&gt;
&lt;g transform="translate(397,0)"&gt;
&lt;rect height="60" stroke="none" width="3046" x="0" y="220"/&gt;
&lt;g transform="translate(60,676)"&gt;
 &lt;use xlink:href="#eq_44c947b2_6MJMAIN-6D"/&gt;
 &lt;use x="838" xlink:href="#eq_44c947b2_6MJMAIN-65" y="0"/&gt;
 &lt;use x="1287" xlink:href="#eq_44c947b2_6MJMAIN-74" y="0"/&gt;
 &lt;use x="1681" xlink:href="#eq_44c947b2_6MJMAIN-72" y="0"/&gt;
 &lt;use x="2078" xlink:href="#eq_44c947b2_6MJMAIN-65" y="0"/&gt;
 &lt;use x="2527" xlink:href="#eq_44c947b2_6MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(61,-725)"&gt;
 &lt;use xlink:href="#eq_44c947b2_6MJMAIN-73"/&gt;
 &lt;use x="399" xlink:href="#eq_44c947b2_6MJMAIN-65" y="0"/&gt;
 &lt;use x="848" xlink:href="#eq_44c947b2_6MJMAIN-63" y="0"/&gt;
 &lt;use x="1297" xlink:href="#eq_44c947b2_6MJMAIN-6F" y="0"/&gt;
 &lt;use x="1802" xlink:href="#eq_44c947b2_6MJMAIN-6E" y="0"/&gt;
 &lt;use x="2363" xlink:href="#eq_44c947b2_6MJMAIN-64" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;Square kilometres per year (e.g. for a change in area through time): &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="a2c4c2f9b6f801107091c3064778a29085fb1fca"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_7d" height="40px" role="math" style="vertical-align: -16px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -1413.5773 15477.1 2355.9621" width="262.7733px"&gt;

&lt;desc id="eq_44c947b2_7d"&gt;equation left hand side km super two times yr super negative one equals right hand side kilometres multiplication kilometres divided by year&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36Z" id="eq_44c947b2_7MJMAIN-6B" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_7MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" id="eq_44c947b2_7MJMAIN-32" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_7MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_7MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_7MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_7MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_7MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_7MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_7MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_7MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_7MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_7MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_7MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z" id="eq_44c947b2_7MJMAIN-D7" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_7MJMAIN-61" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-6D" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1938" xlink:href="#eq_44c947b2_7MJMAIN-32" y="610"/&gt;
&lt;g transform="translate(1828,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-79"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-72" y="0"/&gt;
&lt;g transform="translate(930,412)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_7MJMAIN-2212" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="783" xlink:href="#eq_44c947b2_7MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
 &lt;use x="4046" xlink:href="#eq_44c947b2_7MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(4829,0)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="10407" x="0" y="220"/&gt;
&lt;g transform="translate(60,676)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-69" y="0"/&gt;
 &lt;use x="816" xlink:href="#eq_44c947b2_7MJMAIN-6C" y="0"/&gt;
 &lt;use x="1099" xlink:href="#eq_44c947b2_7MJMAIN-6F" y="0"/&gt;
 &lt;use x="1604" xlink:href="#eq_44c947b2_7MJMAIN-6D" y="0"/&gt;
 &lt;use x="2442" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="2891" xlink:href="#eq_44c947b2_7MJMAIN-74" y="0"/&gt;
 &lt;use x="3285" xlink:href="#eq_44c947b2_7MJMAIN-72" y="0"/&gt;
 &lt;use x="3682" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="4131" xlink:href="#eq_44c947b2_7MJMAIN-73" y="0"/&gt;
 &lt;use x="4752" xlink:href="#eq_44c947b2_7MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(5757,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-69" y="0"/&gt;
 &lt;use x="816" xlink:href="#eq_44c947b2_7MJMAIN-6C" y="0"/&gt;
 &lt;use x="1099" xlink:href="#eq_44c947b2_7MJMAIN-6F" y="0"/&gt;
 &lt;use x="1604" xlink:href="#eq_44c947b2_7MJMAIN-6D" y="0"/&gt;
 &lt;use x="2442" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="2891" xlink:href="#eq_44c947b2_7MJMAIN-74" y="0"/&gt;
 &lt;use x="3285" xlink:href="#eq_44c947b2_7MJMAIN-72" y="0"/&gt;
 &lt;use x="3682" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="4131" xlink:href="#eq_44c947b2_7MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(4261,-686)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-79"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="982" xlink:href="#eq_44c947b2_7MJMAIN-61" y="0"/&gt;
 &lt;use x="1487" xlink:href="#eq_44c947b2_7MJMAIN-72" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-table oucontent-s-normal oucontent-s-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;&lt;b&gt;Table 2&lt;/b&gt; Examples of different ways of writing large and small numbers &lt;/h2&gt;&lt;div class="oucontent-table-wrapper"&gt;&lt;table&gt;&lt;tr&gt;&lt;td&gt;&lt;b&gt;Prefix&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Prefix name&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Meaning&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Number or fraction&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Decimal&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Power of ten&lt;/b&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;G&lt;/td&gt;&lt;td&gt;giga&lt;/td&gt;&lt;td&gt;billion or thousand million&lt;/td&gt;&lt;td&gt;1&amp;#x2009;000&amp;#x2009;000&amp;#x2009;000&lt;/td&gt;&lt;td&gt;1&amp;#x2009;000&amp;#x2009;000&amp;#x2009;000&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;9&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;M&lt;/td&gt;&lt;td&gt;mega&lt;/td&gt;&lt;td&gt;million&lt;/td&gt;&lt;td&gt;1&amp;#x2009;000&amp;#x2009;000&lt;/td&gt;&lt;td&gt;1&amp;#x2009;000&amp;#x2009;000&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;6&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;k&lt;/td&gt;&lt;td&gt;kilo&lt;/td&gt;&lt;td&gt;thousand&lt;/td&gt;&lt;td&gt;1000&lt;/td&gt;&lt;td&gt;1000&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;3&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td/&gt;&lt;td/&gt;&lt;td&gt;one&lt;/td&gt;&lt;td&gt;1&lt;/td&gt;&lt;td&gt;1&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;0&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;m&lt;/td&gt;&lt;td&gt;milli&lt;/td&gt;&lt;td&gt;thousandth&lt;/td&gt;&lt;td&gt;1/1000&lt;/td&gt;&lt;td&gt;0.001&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;–3&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;&amp;#xB5;&lt;/td&gt;&lt;td&gt;micro&lt;/td&gt;&lt;td&gt;millionth&lt;/td&gt;&lt;td&gt;1/1&amp;#x2009;000&amp;#x2009;000&lt;/td&gt;&lt;td&gt;0.000 001&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;–6&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;n&lt;/td&gt;&lt;td&gt;nano&lt;/td&gt;&lt;td&gt;billionth&lt;/td&gt;&lt;td&gt;1/1&amp;#x2009;000&amp;#x2009;000&amp;#x2009;000&lt;/td&gt;&lt;td&gt;0.000 000 001&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;–9&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Sounds, seismic waves and starlight all have something in common: they are measured in powers of ten. Each can vary by so much that logarithmic scales are needed to describe the whole range. For example, a sound level of 110 decibels (dB) is 10 times louder than one of 100 dB. An earthquake of magnitude 8.0 has seismic waves that are 10 times larger than in an earthquake of magnitude 7.0. The brightness (&amp;#x2018;apparent magnitude’) of stars is also measured on a kind of logarithmic scale. &lt;/p&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 3 Powers of ten&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Around 66 million years ago an asteroid or comet around 10&amp;#x2009;km wide hit the Earth, creating the 180&amp;#x2009;km wide Chicxulub crater in Mexico and causing a mass extinction including that of the dinosaurs. The impact has been estimated as causing a magnitude 13 earthquake. In recent times, the fifth largest earthquake ever measured (at the time of writing) was the 2011 Japanese T&amp;#x14D;hoku earthquake, which had a magnitude of 9. &lt;/p&gt;&lt;p&gt;How many times larger would the seismic waves have been for the impact earthquake than the T&amp;#x14D;hoku earthquake?&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="19bc03a82e1a52ea36f254f8e5cf7b6970a458fd"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_8d" height="17px" role="math" style="vertical-align: -4px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -765.6877 16752.6 1001.2839" width="284.4290px"&gt;

&lt;desc id="eq_44c947b2_8d"&gt;Difference in magnitudes equation sequence equals 13 minus nine equals four&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M130 622Q123 629 119 631T103 634T60 637H27V683H228Q399 682 419 682T461 676Q504 667 546 641T626 573T685 470T708 336Q708 210 634 116T442 3Q429 1 228 0H27V46H60Q102 47 111 49T130 61V622ZM593 338Q593 439 571 501T493 602Q439 637 355 637H322H294Q238 637 234 628Q231 624 231 344Q231 62 232 59Q233 49 248 48T339 46H350Q456 46 515 95Q561 133 577 191T593 338Z" id="eq_44c947b2_8MJMAIN-44" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_8MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_8MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_8MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_8MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_8MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_8MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_8MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_8MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_8MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_8MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58Z" id="eq_44c947b2_8MJMAIN-75" stroke-width="10"/&gt;
&lt;path d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" id="eq_44c947b2_8MJMAIN-64" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_8MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_8MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_8MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z" id="eq_44c947b2_8MJMAIN-33" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_8MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" id="eq_44c947b2_8MJMAIN-39" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_8MJMAIN-34" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_8MJMAIN-44"/&gt;
 &lt;use x="769" xlink:href="#eq_44c947b2_8MJMAIN-69" y="0"/&gt;
 &lt;use x="1052" xlink:href="#eq_44c947b2_8MJMAIN-66" y="0"/&gt;
 &lt;use x="1363" xlink:href="#eq_44c947b2_8MJMAIN-66" y="0"/&gt;
 &lt;use x="1674" xlink:href="#eq_44c947b2_8MJMAIN-65" y="0"/&gt;
 &lt;use x="2123" xlink:href="#eq_44c947b2_8MJMAIN-72" y="0"/&gt;
 &lt;use x="2520" xlink:href="#eq_44c947b2_8MJMAIN-65" y="0"/&gt;
 &lt;use x="2969" xlink:href="#eq_44c947b2_8MJMAIN-6E" y="0"/&gt;
 &lt;use x="3530" xlink:href="#eq_44c947b2_8MJMAIN-63" y="0"/&gt;
 &lt;use x="3979" xlink:href="#eq_44c947b2_8MJMAIN-65" y="0"/&gt;
 &lt;use x="4678" xlink:href="#eq_44c947b2_8MJMAIN-69" y="0"/&gt;
 &lt;use x="4961" xlink:href="#eq_44c947b2_8MJMAIN-6E" y="0"/&gt;
 &lt;use x="5772" xlink:href="#eq_44c947b2_8MJMAIN-6D" y="0"/&gt;
 &lt;use x="6610" xlink:href="#eq_44c947b2_8MJMAIN-61" y="0"/&gt;
 &lt;use x="7115" xlink:href="#eq_44c947b2_8MJMAIN-67" y="0"/&gt;
 &lt;use x="7620" xlink:href="#eq_44c947b2_8MJMAIN-6E" y="0"/&gt;
 &lt;use x="8181" xlink:href="#eq_44c947b2_8MJMAIN-69" y="0"/&gt;
 &lt;use x="8464" xlink:href="#eq_44c947b2_8MJMAIN-74" y="0"/&gt;
 &lt;use x="8858" xlink:href="#eq_44c947b2_8MJMAIN-75" y="0"/&gt;
 &lt;use x="9419" xlink:href="#eq_44c947b2_8MJMAIN-64" y="0"/&gt;
 &lt;use x="9980" xlink:href="#eq_44c947b2_8MJMAIN-65" y="0"/&gt;
 &lt;use x="10429" xlink:href="#eq_44c947b2_8MJMAIN-73" y="0"/&gt;
&lt;g transform="translate(11105,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_8MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(1060,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_8MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_8MJMAIN-33" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="2293" xlink:href="#eq_44c947b2_8MJMAIN-2212" y="0"/&gt;
 &lt;use x="3298" xlink:href="#eq_44c947b2_8MJMAIN-39" y="0"/&gt;
 &lt;use x="4081" xlink:href="#eq_44c947b2_8MJMAIN-3D" y="0"/&gt;
 &lt;use x="5141" xlink:href="#eq_44c947b2_8MJMAIN-34" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="d8426d7eb65bdb794ce938ac6525fcbdc2214a74"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_9d" height="20px" role="math" style="vertical-align: -4px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -942.3849 32651.1 1177.9811" width="554.3570px"&gt;

&lt;desc id="eq_44c947b2_9d"&gt;Ratio of seismic wave size equation sequence equals 10 super four equals 10 multiplication 10 multiplication 10 multiplication 10 equals 10 times 000 postfix times times larger times&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M130 622Q123 629 119 631T103 634T60 637H27V683H202H236H300Q376 683 417 677T500 648Q595 600 609 517Q610 512 610 501Q610 468 594 439T556 392T511 361T472 343L456 338Q459 335 467 332Q497 316 516 298T545 254T559 211T568 155T578 94Q588 46 602 31T640 16H645Q660 16 674 32T692 87Q692 98 696 101T712 105T728 103T732 90Q732 59 716 27T672 -16Q656 -22 630 -22Q481 -16 458 90Q456 101 456 163T449 246Q430 304 373 320L363 322L297 323H231V192L232 61Q238 51 249 49T301 46H334V0H323Q302 3 181 3Q59 3 38 0H27V46H60Q102 47 111 49T130 61V622ZM491 499V509Q491 527 490 539T481 570T462 601T424 623T362 636Q360 636 340 636T304 637H283Q238 637 234 628Q231 624 231 492V360H289Q390 360 434 378T489 456Q491 467 491 499Z" id="eq_44c947b2_9MJMAIN-52" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_9MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_9MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_9MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_9MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_9MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_9MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_9MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_9MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_9MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M90 368Q84 378 76 380T40 385H18V431H24L43 430Q62 430 84 429T116 428Q206 428 221 431H229V385H215Q177 383 177 368Q177 367 221 239L265 113L339 328L333 345Q323 374 316 379Q308 384 278 385H258V431H264Q270 428 348 428Q439 428 454 431H461V385H452Q404 385 404 369Q404 366 418 324T449 234T481 143L496 100L537 219Q579 341 579 347Q579 363 564 373T530 385H522V431H529Q541 428 624 428Q692 428 698 431H703V385H697Q696 385 691 385T682 384Q635 377 619 334L559 161Q546 124 528 71Q508 12 503 1T487 -11H479Q460 -11 456 -4Q455 -3 407 133L361 267Q359 263 266 -4Q261 -11 243 -11H238Q225 -11 220 -3L90 368Z" id="eq_44c947b2_9MJMAIN-77" stroke-width="10"/&gt;
&lt;path d="M338 431Q344 429 422 429Q479 429 503 431H508V385H497Q439 381 423 345Q421 341 356 172T288 -2Q283 -11 263 -11Q244 -11 239 -2Q99 359 98 364Q93 378 82 381T43 385H19V431H25L33 430Q41 430 53 430T79 430T104 429T122 428Q217 428 232 431H240V385H226Q187 384 184 370Q184 366 235 234L286 102L377 341V349Q377 363 367 372T349 383T335 385H331V431H338Z" id="eq_44c947b2_9MJMAIN-76" stroke-width="10"/&gt;
&lt;path d="M42 263Q44 270 48 345T53 423V431H393Q399 425 399 415Q399 403 398 402L381 378Q364 355 331 309T265 220L134 41L182 40H206Q254 40 283 46T331 77Q352 105 359 185L361 201Q361 202 381 202H401V196Q401 195 393 103T384 6V0H209L34 1L31 3Q28 8 28 17Q28 30 29 31T160 210T294 394H236Q169 393 152 388Q127 382 113 367Q89 344 82 264V255H42V263Z" id="eq_44c947b2_9MJMAIN-7A" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_9MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_9MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_9MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_9MJMAIN-34" stroke-width="10"/&gt;
&lt;path d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z" id="eq_44c947b2_9MJMAIN-D7" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_9MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_9MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_9MJMAIN-67" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-52"/&gt;
 &lt;use x="741" xlink:href="#eq_44c947b2_9MJMAIN-61" y="0"/&gt;
 &lt;use x="1246" xlink:href="#eq_44c947b2_9MJMAIN-74" y="0"/&gt;
 &lt;use x="1640" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="1923" xlink:href="#eq_44c947b2_9MJMAIN-6F" y="0"/&gt;
 &lt;use x="2678" xlink:href="#eq_44c947b2_9MJMAIN-6F" y="0"/&gt;
 &lt;use x="3183" xlink:href="#eq_44c947b2_9MJMAIN-66" y="0"/&gt;
 &lt;use x="3744" xlink:href="#eq_44c947b2_9MJMAIN-73" y="0"/&gt;
 &lt;use x="4143" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
 &lt;use x="4592" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="4875" xlink:href="#eq_44c947b2_9MJMAIN-73" y="0"/&gt;
 &lt;use x="5274" xlink:href="#eq_44c947b2_9MJMAIN-6D" y="0"/&gt;
 &lt;use x="6112" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="6395" xlink:href="#eq_44c947b2_9MJMAIN-63" y="0"/&gt;
 &lt;use x="7094" xlink:href="#eq_44c947b2_9MJMAIN-77" y="0"/&gt;
 &lt;use x="7821" xlink:href="#eq_44c947b2_9MJMAIN-61" y="0"/&gt;
 &lt;use x="8326" xlink:href="#eq_44c947b2_9MJMAIN-76" y="0"/&gt;
 &lt;use x="8859" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
 &lt;use x="9558" xlink:href="#eq_44c947b2_9MJMAIN-73" y="0"/&gt;
 &lt;use x="9957" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="10240" xlink:href="#eq_44c947b2_9MJMAIN-7A" y="0"/&gt;
 &lt;use x="10689" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
&lt;g transform="translate(11415,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_9MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(1060,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1428" xlink:href="#eq_44c947b2_9MJMAIN-34" y="583"/&gt;
&lt;/g&gt;
 &lt;use x="2805" xlink:href="#eq_44c947b2_9MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(3866,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="5098" xlink:href="#eq_44c947b2_9MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(6103,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="7336" xlink:href="#eq_44c947b2_9MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(8341,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="9573" xlink:href="#eq_44c947b2_9MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(10578,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="11866" xlink:href="#eq_44c947b2_9MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(12927,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(14237,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-30"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
 &lt;use x="1010" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(16086,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-74"/&gt;
 &lt;use x="394" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="677" xlink:href="#eq_44c947b2_9MJMAIN-6D" y="0"/&gt;
 &lt;use x="1515" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
 &lt;use x="1964" xlink:href="#eq_44c947b2_9MJMAIN-73" y="0"/&gt;
 &lt;use x="2613" xlink:href="#eq_44c947b2_9MJMAIN-6C" y="0"/&gt;
 &lt;use x="2896" xlink:href="#eq_44c947b2_9MJMAIN-61" y="0"/&gt;
 &lt;use x="3401" xlink:href="#eq_44c947b2_9MJMAIN-72" y="0"/&gt;
 &lt;use x="3798" xlink:href="#eq_44c947b2_9MJMAIN-67" y="0"/&gt;
 &lt;use x="4303" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
 &lt;use x="4752" xlink:href="#eq_44c947b2_9MJMAIN-72" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.1.1</guid>
    <dc:title>3.1.1 Powers of ten and scientific notation</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;In this study note you will look at how to write small and large numbers using scientific notation.&lt;/p&gt;&lt;div class="oucontent-studynote oucontent-s-gradient oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Study note: Powers of ten and scientific notation&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;Figure 11(a) shows the production of lead in tonnes (also known as metric tons) on a scale using different powers of ten (10&lt;sup&gt;0&lt;/sup&gt;, 10&lt;sup&gt;2&lt;/sup&gt;, etc.). When you see numbers written down, it is quite easy to read and understand them when they have few digits; for example, 0.01, 0.5, 4, 15 or 132. But when numbers have a lot of digits, for example, a small number such as 0.0000067, or a very large number such as 1 700 000 000, they are less easy to read, and consequently it is harder to understand what they are telling you. For example, if you are asked to say ‘75 kg’ you would probably respond immediately with ‘seventy-five kilograms’. But if you were asked to say the mass 330000000 tonnes, you would probably have to start counting the zeros. &lt;/p&gt;&lt;p&gt;To make large and small numbers easier to comprehend, there are two options. One is to use the prefixes for words illustrated in Table 2 below. The other is to use numbers as in the final column of Table 2 which is labelled ‘Power of ten’, where the power is the number of tens that are multiplied together. For example, 10&lt;sup&gt;2&lt;/sup&gt;, which you would say as ‘ten to the power of 2’, means that two tens are multiplied together (i.e. 10 × 10). So &lt;/p&gt;&lt;p&gt;10&lt;sup&gt;2&lt;/sup&gt; = 100.&lt;/p&gt;&lt;p&gt;Similarly, ten to the power of three (i.e. 10 × 10 × 10) is&lt;/p&gt;&lt;p&gt;10&lt;sup&gt;3&lt;/sup&gt; = 1000.&lt;/p&gt;&lt;p&gt;And so on. Clearly, 10&lt;sup&gt;7&lt;/sup&gt; is easier to understand than 10 000 000. Note that 10&lt;sup&gt;1&lt;/sup&gt; implies just one ten, that is, 10&lt;sup&gt;1&lt;/sup&gt; = 10, so you do not add the power 1 in this case. When dealing with powers of 10 you could also just say that the power is the number of zeros after the 1, so 10&lt;sup&gt;0&lt;/sup&gt; is just the number 1. &lt;/p&gt;&lt;p&gt;That covers numbers greater than 1, but what about numbers less than 1 such as 0.1? In powers of ten this would be written as 1 divided by 10, so &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="e5ac9c8d1b083a80ce7d89edae13dd79e11ff1cc"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_3d" height="37px" role="math" style="vertical-align: -13px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -1413.5773 4001.6 2179.2650" width="67.9400px"&gt;

&lt;desc id="eq_44c947b2_3d"&gt;one divided by 10 equals 0.1&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_3MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_3MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_3MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" id="eq_44c947b2_3MJMAIN-2E" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="1130" x="0" y="220"/&gt;
 &lt;use x="312" xlink:href="#eq_44c947b2_3MJMAIN-31" y="676"/&gt;
&lt;g transform="translate(60,-696)"&gt;
 &lt;use xlink:href="#eq_44c947b2_3MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_3MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
 &lt;use x="1647" xlink:href="#eq_44c947b2_3MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(2708,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_3MJMAIN-30"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_3MJMAIN-2E" y="0"/&gt;
 &lt;use x="788" xlink:href="#eq_44c947b2_3MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;and this is written as 10&lt;sup&gt;–1&lt;/sup&gt;. Similarly, 10&lt;sup&gt;–4&lt;/sup&gt; is 1 divided by 10 four times: &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="1cbceae9055ae48ef9ea36a049f362cfd2cf3ea6"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_4d" height="37px" role="math" style="vertical-align: -13px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -1413.5773 15588.2 2179.2650" width="264.6596px"&gt;

&lt;desc id="eq_44c947b2_4d"&gt;equation sequence 10 super negative four equals one divided by 10 multiplication 10 multiplication 10 multiplication 10 equals 0.0001&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_4MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_4MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_4MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_4MJMAIN-34" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_4MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z" id="eq_44c947b2_4MJMAIN-D7" stroke-width="10"/&gt;
&lt;path d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" id="eq_44c947b2_4MJMAIN-2E" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
&lt;g transform="translate(1010,412)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_4MJMAIN-2212" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="783" xlink:href="#eq_44c947b2_4MJMAIN-34" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="2298" xlink:href="#eq_44c947b2_4MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(3081,0)"&gt;
&lt;g transform="translate(397,0)"&gt;
&lt;rect height="60" stroke="none" width="7842" x="0" y="220"/&gt;
 &lt;use x="3668" xlink:href="#eq_44c947b2_4MJMAIN-31" y="676"/&gt;
&lt;g transform="translate(60,-696)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
 &lt;use x="1232" xlink:href="#eq_44c947b2_4MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(2237,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="3469" xlink:href="#eq_44c947b2_4MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(4474,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="5707" xlink:href="#eq_44c947b2_4MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(6712,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
 &lt;use x="11719" xlink:href="#eq_44c947b2_4MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(12780,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_4MJMAIN-30"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_4MJMAIN-2E" y="0"/&gt;
 &lt;use x="788" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
 &lt;use x="1293" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
 &lt;use x="1798" xlink:href="#eq_44c947b2_4MJMAIN-30" y="0"/&gt;
 &lt;use x="2303" xlink:href="#eq_44c947b2_4MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;So how would you write the number 150 using powers of 10? The number 150 is 1.5 × 10 × 10, so would be written 1.5 × 10&lt;sup&gt;2&lt;/sup&gt;. This form of writing numbers is known as scientific notation. A number written in scientific notation always looks like this: &lt;/p&gt;&lt;p&gt;(number between 1 and 10) × 10&lt;sup&gt;some power&lt;/sup&gt;.&lt;/p&gt;&lt;p&gt;This superscript notation can also be used to show powers of units. For example:&lt;/p&gt;&lt;p&gt;Square kilometres (for area):&lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="a25c1be83ca82c098d474610d5248531b02b1f98"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_5d" height="17px" role="math" style="vertical-align: -1px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -942.3849 13454.1 1001.2839" width="228.4264px"&gt;

&lt;desc id="eq_44c947b2_5d"&gt;equation left hand side km super two equals right hand side kilometres multiplication kilometres&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36Z" id="eq_44c947b2_5MJMAIN-6B" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_5MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" id="eq_44c947b2_5MJMAIN-32" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_5MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_5MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_5MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_5MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_5MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_5MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_5MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_5MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z" id="eq_44c947b2_5MJMAIN-D7" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_5MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_5MJMAIN-6D" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1938" xlink:href="#eq_44c947b2_5MJMAIN-32" y="610"/&gt;
 &lt;use x="2105" xlink:href="#eq_44c947b2_5MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(3166,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_5MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_5MJMAIN-69" y="0"/&gt;
 &lt;use x="816" xlink:href="#eq_44c947b2_5MJMAIN-6C" y="0"/&gt;
 &lt;use x="1099" xlink:href="#eq_44c947b2_5MJMAIN-6F" y="0"/&gt;
 &lt;use x="1604" xlink:href="#eq_44c947b2_5MJMAIN-6D" y="0"/&gt;
 &lt;use x="2442" xlink:href="#eq_44c947b2_5MJMAIN-65" y="0"/&gt;
 &lt;use x="2891" xlink:href="#eq_44c947b2_5MJMAIN-74" y="0"/&gt;
 &lt;use x="3285" xlink:href="#eq_44c947b2_5MJMAIN-72" y="0"/&gt;
 &lt;use x="3682" xlink:href="#eq_44c947b2_5MJMAIN-65" y="0"/&gt;
 &lt;use x="4131" xlink:href="#eq_44c947b2_5MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="7918" xlink:href="#eq_44c947b2_5MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(8924,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_5MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_5MJMAIN-69" y="0"/&gt;
 &lt;use x="816" xlink:href="#eq_44c947b2_5MJMAIN-6C" y="0"/&gt;
 &lt;use x="1099" xlink:href="#eq_44c947b2_5MJMAIN-6F" y="0"/&gt;
 &lt;use x="1604" xlink:href="#eq_44c947b2_5MJMAIN-6D" y="0"/&gt;
 &lt;use x="2442" xlink:href="#eq_44c947b2_5MJMAIN-65" y="0"/&gt;
 &lt;use x="2891" xlink:href="#eq_44c947b2_5MJMAIN-74" y="0"/&gt;
 &lt;use x="3285" xlink:href="#eq_44c947b2_5MJMAIN-72" y="0"/&gt;
 &lt;use x="3682" xlink:href="#eq_44c947b2_5MJMAIN-65" y="0"/&gt;
 &lt;use x="4131" xlink:href="#eq_44c947b2_5MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;Metres per second (for speed): &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="9e19adc3e15fbd56f95ba693007269a90a1c133b"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_6d" height="36px" role="math" style="vertical-align: -13px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -1354.6782 6872.3 2120.3659" width="116.6793px"&gt;

&lt;desc id="eq_44c947b2_6d"&gt;m equation left hand side s super negative one equals right hand side metres divided by second&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_6MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_6MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_6MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_6MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_6MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_6MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_6MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_6MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_6MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_6MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_6MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" id="eq_44c947b2_6MJMAIN-64" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_6MJMAIN-6D" y="0"/&gt;
&lt;g transform="translate(838,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_6MJMAIN-73" y="0"/&gt;
&lt;g transform="translate(399,412)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_6MJMAIN-2212" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="783" xlink:href="#eq_44c947b2_6MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
 &lt;use x="2525" xlink:href="#eq_44c947b2_6MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(3308,0)"&gt;
&lt;g transform="translate(397,0)"&gt;
&lt;rect height="60" stroke="none" width="3046" x="0" y="220"/&gt;
&lt;g transform="translate(60,676)"&gt;
 &lt;use xlink:href="#eq_44c947b2_6MJMAIN-6D"/&gt;
 &lt;use x="838" xlink:href="#eq_44c947b2_6MJMAIN-65" y="0"/&gt;
 &lt;use x="1287" xlink:href="#eq_44c947b2_6MJMAIN-74" y="0"/&gt;
 &lt;use x="1681" xlink:href="#eq_44c947b2_6MJMAIN-72" y="0"/&gt;
 &lt;use x="2078" xlink:href="#eq_44c947b2_6MJMAIN-65" y="0"/&gt;
 &lt;use x="2527" xlink:href="#eq_44c947b2_6MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(61,-725)"&gt;
 &lt;use xlink:href="#eq_44c947b2_6MJMAIN-73"/&gt;
 &lt;use x="399" xlink:href="#eq_44c947b2_6MJMAIN-65" y="0"/&gt;
 &lt;use x="848" xlink:href="#eq_44c947b2_6MJMAIN-63" y="0"/&gt;
 &lt;use x="1297" xlink:href="#eq_44c947b2_6MJMAIN-6F" y="0"/&gt;
 &lt;use x="1802" xlink:href="#eq_44c947b2_6MJMAIN-6E" y="0"/&gt;
 &lt;use x="2363" xlink:href="#eq_44c947b2_6MJMAIN-64" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;Square kilometres per year (e.g. for a change in area through time): &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="a2c4c2f9b6f801107091c3064778a29085fb1fca"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_7d" height="40px" role="math" style="vertical-align: -16px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -1413.5773 15477.1 2355.9621" width="262.7733px"&gt;

&lt;desc id="eq_44c947b2_7d"&gt;equation left hand side km super two times yr super negative one equals right hand side kilometres multiplication kilometres divided by year&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36Z" id="eq_44c947b2_7MJMAIN-6B" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_7MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" id="eq_44c947b2_7MJMAIN-32" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_7MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_7MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_7MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_7MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_7MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_7MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_7MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_7MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_7MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_7MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_7MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z" id="eq_44c947b2_7MJMAIN-D7" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_7MJMAIN-61" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-6D" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1938" xlink:href="#eq_44c947b2_7MJMAIN-32" y="610"/&gt;
&lt;g transform="translate(1828,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-79"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-72" y="0"/&gt;
&lt;g transform="translate(930,412)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_7MJMAIN-2212" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="783" xlink:href="#eq_44c947b2_7MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
 &lt;use x="4046" xlink:href="#eq_44c947b2_7MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(4829,0)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="10407" x="0" y="220"/&gt;
&lt;g transform="translate(60,676)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-69" y="0"/&gt;
 &lt;use x="816" xlink:href="#eq_44c947b2_7MJMAIN-6C" y="0"/&gt;
 &lt;use x="1099" xlink:href="#eq_44c947b2_7MJMAIN-6F" y="0"/&gt;
 &lt;use x="1604" xlink:href="#eq_44c947b2_7MJMAIN-6D" y="0"/&gt;
 &lt;use x="2442" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="2891" xlink:href="#eq_44c947b2_7MJMAIN-74" y="0"/&gt;
 &lt;use x="3285" xlink:href="#eq_44c947b2_7MJMAIN-72" y="0"/&gt;
 &lt;use x="3682" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="4131" xlink:href="#eq_44c947b2_7MJMAIN-73" y="0"/&gt;
 &lt;use x="4752" xlink:href="#eq_44c947b2_7MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(5757,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-69" y="0"/&gt;
 &lt;use x="816" xlink:href="#eq_44c947b2_7MJMAIN-6C" y="0"/&gt;
 &lt;use x="1099" xlink:href="#eq_44c947b2_7MJMAIN-6F" y="0"/&gt;
 &lt;use x="1604" xlink:href="#eq_44c947b2_7MJMAIN-6D" y="0"/&gt;
 &lt;use x="2442" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="2891" xlink:href="#eq_44c947b2_7MJMAIN-74" y="0"/&gt;
 &lt;use x="3285" xlink:href="#eq_44c947b2_7MJMAIN-72" y="0"/&gt;
 &lt;use x="3682" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="4131" xlink:href="#eq_44c947b2_7MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(4261,-686)"&gt;
 &lt;use xlink:href="#eq_44c947b2_7MJMAIN-79"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_7MJMAIN-65" y="0"/&gt;
 &lt;use x="982" xlink:href="#eq_44c947b2_7MJMAIN-61" y="0"/&gt;
 &lt;use x="1487" xlink:href="#eq_44c947b2_7MJMAIN-72" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-table oucontent-s-normal oucontent-s-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;&lt;b&gt;Table 2&lt;/b&gt; Examples of different ways of writing large and small numbers &lt;/h2&gt;&lt;div class="oucontent-table-wrapper"&gt;&lt;table&gt;&lt;tr&gt;&lt;td&gt;&lt;b&gt;Prefix&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Prefix name&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Meaning&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Number or fraction&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Decimal&lt;/b&gt;&lt;/td&gt;&lt;td&gt;&lt;b&gt;Power of ten&lt;/b&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;G&lt;/td&gt;&lt;td&gt;giga&lt;/td&gt;&lt;td&gt;billion or thousand million&lt;/td&gt;&lt;td&gt;1 000 000 000&lt;/td&gt;&lt;td&gt;1 000 000 000&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;9&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;M&lt;/td&gt;&lt;td&gt;mega&lt;/td&gt;&lt;td&gt;million&lt;/td&gt;&lt;td&gt;1 000 000&lt;/td&gt;&lt;td&gt;1 000 000&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;6&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;k&lt;/td&gt;&lt;td&gt;kilo&lt;/td&gt;&lt;td&gt;thousand&lt;/td&gt;&lt;td&gt;1000&lt;/td&gt;&lt;td&gt;1000&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;3&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td/&gt;&lt;td/&gt;&lt;td&gt;one&lt;/td&gt;&lt;td&gt;1&lt;/td&gt;&lt;td&gt;1&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;0&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;m&lt;/td&gt;&lt;td&gt;milli&lt;/td&gt;&lt;td&gt;thousandth&lt;/td&gt;&lt;td&gt;1/1000&lt;/td&gt;&lt;td&gt;0.001&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;–3&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;µ&lt;/td&gt;&lt;td&gt;micro&lt;/td&gt;&lt;td&gt;millionth&lt;/td&gt;&lt;td&gt;1/1 000 000&lt;/td&gt;&lt;td&gt;0.000 001&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;–6&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;n&lt;/td&gt;&lt;td&gt;nano&lt;/td&gt;&lt;td&gt;billionth&lt;/td&gt;&lt;td&gt;1/1 000 000 000&lt;/td&gt;&lt;td&gt;0.000 000 001&lt;/td&gt;&lt;td&gt;10&lt;sup&gt;–9&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Sounds, seismic waves and starlight all have something in common: they are measured in powers of ten. Each can vary by so much that logarithmic scales are needed to describe the whole range. For example, a sound level of 110 decibels (dB) is 10 times louder than one of 100 dB. An earthquake of magnitude 8.0 has seismic waves that are 10 times larger than in an earthquake of magnitude 7.0. The brightness (‘apparent magnitude’) of stars is also measured on a kind of logarithmic scale. &lt;/p&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 3 Powers of ten&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Around 66 million years ago an asteroid or comet around 10 km wide hit the Earth, creating the 180 km wide Chicxulub crater in Mexico and causing a mass extinction including that of the dinosaurs. The impact has been estimated as causing a magnitude 13 earthquake. In recent times, the fifth largest earthquake ever measured (at the time of writing) was the 2011 Japanese Tōhoku earthquake, which had a magnitude of 9. &lt;/p&gt;&lt;p&gt;How many times larger would the seismic waves have been for the impact earthquake than the Tōhoku earthquake?&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="19bc03a82e1a52ea36f254f8e5cf7b6970a458fd"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_8d" height="17px" role="math" style="vertical-align: -4px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -765.6877 16752.6 1001.2839" width="284.4290px"&gt;

&lt;desc id="eq_44c947b2_8d"&gt;Difference in magnitudes equation sequence equals 13 minus nine equals four&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M130 622Q123 629 119 631T103 634T60 637H27V683H228Q399 682 419 682T461 676Q504 667 546 641T626 573T685 470T708 336Q708 210 634 116T442 3Q429 1 228 0H27V46H60Q102 47 111 49T130 61V622ZM593 338Q593 439 571 501T493 602Q439 637 355 637H322H294Q238 637 234 628Q231 624 231 344Q231 62 232 59Q233 49 248 48T339 46H350Q456 46 515 95Q561 133 577 191T593 338Z" id="eq_44c947b2_8MJMAIN-44" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_8MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_8MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_8MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_8MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_8MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_8MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_8MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_8MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_8MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_8MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58Z" id="eq_44c947b2_8MJMAIN-75" stroke-width="10"/&gt;
&lt;path d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" id="eq_44c947b2_8MJMAIN-64" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_8MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_8MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_8MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z" id="eq_44c947b2_8MJMAIN-33" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_8MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" id="eq_44c947b2_8MJMAIN-39" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_8MJMAIN-34" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_8MJMAIN-44"/&gt;
 &lt;use x="769" xlink:href="#eq_44c947b2_8MJMAIN-69" y="0"/&gt;
 &lt;use x="1052" xlink:href="#eq_44c947b2_8MJMAIN-66" y="0"/&gt;
 &lt;use x="1363" xlink:href="#eq_44c947b2_8MJMAIN-66" y="0"/&gt;
 &lt;use x="1674" xlink:href="#eq_44c947b2_8MJMAIN-65" y="0"/&gt;
 &lt;use x="2123" xlink:href="#eq_44c947b2_8MJMAIN-72" y="0"/&gt;
 &lt;use x="2520" xlink:href="#eq_44c947b2_8MJMAIN-65" y="0"/&gt;
 &lt;use x="2969" xlink:href="#eq_44c947b2_8MJMAIN-6E" y="0"/&gt;
 &lt;use x="3530" xlink:href="#eq_44c947b2_8MJMAIN-63" y="0"/&gt;
 &lt;use x="3979" xlink:href="#eq_44c947b2_8MJMAIN-65" y="0"/&gt;
 &lt;use x="4678" xlink:href="#eq_44c947b2_8MJMAIN-69" y="0"/&gt;
 &lt;use x="4961" xlink:href="#eq_44c947b2_8MJMAIN-6E" y="0"/&gt;
 &lt;use x="5772" xlink:href="#eq_44c947b2_8MJMAIN-6D" y="0"/&gt;
 &lt;use x="6610" xlink:href="#eq_44c947b2_8MJMAIN-61" y="0"/&gt;
 &lt;use x="7115" xlink:href="#eq_44c947b2_8MJMAIN-67" y="0"/&gt;
 &lt;use x="7620" xlink:href="#eq_44c947b2_8MJMAIN-6E" y="0"/&gt;
 &lt;use x="8181" xlink:href="#eq_44c947b2_8MJMAIN-69" y="0"/&gt;
 &lt;use x="8464" xlink:href="#eq_44c947b2_8MJMAIN-74" y="0"/&gt;
 &lt;use x="8858" xlink:href="#eq_44c947b2_8MJMAIN-75" y="0"/&gt;
 &lt;use x="9419" xlink:href="#eq_44c947b2_8MJMAIN-64" y="0"/&gt;
 &lt;use x="9980" xlink:href="#eq_44c947b2_8MJMAIN-65" y="0"/&gt;
 &lt;use x="10429" xlink:href="#eq_44c947b2_8MJMAIN-73" y="0"/&gt;
&lt;g transform="translate(11105,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_8MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(1060,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_8MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_8MJMAIN-33" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="2293" xlink:href="#eq_44c947b2_8MJMAIN-2212" y="0"/&gt;
 &lt;use x="3298" xlink:href="#eq_44c947b2_8MJMAIN-39" y="0"/&gt;
 &lt;use x="4081" xlink:href="#eq_44c947b2_8MJMAIN-3D" y="0"/&gt;
 &lt;use x="5141" xlink:href="#eq_44c947b2_8MJMAIN-34" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="d8426d7eb65bdb794ce938ac6525fcbdc2214a74"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_9d" height="20px" role="math" style="vertical-align: -4px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -942.3849 32651.1 1177.9811" width="554.3570px"&gt;

&lt;desc id="eq_44c947b2_9d"&gt;Ratio of seismic wave size equation sequence equals 10 super four equals 10 multiplication 10 multiplication 10 multiplication 10 equals 10 times 000 postfix times times larger times&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M130 622Q123 629 119 631T103 634T60 637H27V683H202H236H300Q376 683 417 677T500 648Q595 600 609 517Q610 512 610 501Q610 468 594 439T556 392T511 361T472 343L456 338Q459 335 467 332Q497 316 516 298T545 254T559 211T568 155T578 94Q588 46 602 31T640 16H645Q660 16 674 32T692 87Q692 98 696 101T712 105T728 103T732 90Q732 59 716 27T672 -16Q656 -22 630 -22Q481 -16 458 90Q456 101 456 163T449 246Q430 304 373 320L363 322L297 323H231V192L232 61Q238 51 249 49T301 46H334V0H323Q302 3 181 3Q59 3 38 0H27V46H60Q102 47 111 49T130 61V622ZM491 499V509Q491 527 490 539T481 570T462 601T424 623T362 636Q360 636 340 636T304 637H283Q238 637 234 628Q231 624 231 492V360H289Q390 360 434 378T489 456Q491 467 491 499Z" id="eq_44c947b2_9MJMAIN-52" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_9MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_9MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_9MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_9MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_9MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_9MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_9MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_9MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_9MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M90 368Q84 378 76 380T40 385H18V431H24L43 430Q62 430 84 429T116 428Q206 428 221 431H229V385H215Q177 383 177 368Q177 367 221 239L265 113L339 328L333 345Q323 374 316 379Q308 384 278 385H258V431H264Q270 428 348 428Q439 428 454 431H461V385H452Q404 385 404 369Q404 366 418 324T449 234T481 143L496 100L537 219Q579 341 579 347Q579 363 564 373T530 385H522V431H529Q541 428 624 428Q692 428 698 431H703V385H697Q696 385 691 385T682 384Q635 377 619 334L559 161Q546 124 528 71Q508 12 503 1T487 -11H479Q460 -11 456 -4Q455 -3 407 133L361 267Q359 263 266 -4Q261 -11 243 -11H238Q225 -11 220 -3L90 368Z" id="eq_44c947b2_9MJMAIN-77" stroke-width="10"/&gt;
&lt;path d="M338 431Q344 429 422 429Q479 429 503 431H508V385H497Q439 381 423 345Q421 341 356 172T288 -2Q283 -11 263 -11Q244 -11 239 -2Q99 359 98 364Q93 378 82 381T43 385H19V431H25L33 430Q41 430 53 430T79 430T104 429T122 428Q217 428 232 431H240V385H226Q187 384 184 370Q184 366 235 234L286 102L377 341V349Q377 363 367 372T349 383T335 385H331V431H338Z" id="eq_44c947b2_9MJMAIN-76" stroke-width="10"/&gt;
&lt;path d="M42 263Q44 270 48 345T53 423V431H393Q399 425 399 415Q399 403 398 402L381 378Q364 355 331 309T265 220L134 41L182 40H206Q254 40 283 46T331 77Q352 105 359 185L361 201Q361 202 381 202H401V196Q401 195 393 103T384 6V0H209L34 1L31 3Q28 8 28 17Q28 30 29 31T160 210T294 394H236Q169 393 152 388Q127 382 113 367Q89 344 82 264V255H42V263Z" id="eq_44c947b2_9MJMAIN-7A" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_9MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_9MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_9MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_9MJMAIN-34" stroke-width="10"/&gt;
&lt;path d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z" id="eq_44c947b2_9MJMAIN-D7" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_9MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_9MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_9MJMAIN-67" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-52"/&gt;
 &lt;use x="741" xlink:href="#eq_44c947b2_9MJMAIN-61" y="0"/&gt;
 &lt;use x="1246" xlink:href="#eq_44c947b2_9MJMAIN-74" y="0"/&gt;
 &lt;use x="1640" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="1923" xlink:href="#eq_44c947b2_9MJMAIN-6F" y="0"/&gt;
 &lt;use x="2678" xlink:href="#eq_44c947b2_9MJMAIN-6F" y="0"/&gt;
 &lt;use x="3183" xlink:href="#eq_44c947b2_9MJMAIN-66" y="0"/&gt;
 &lt;use x="3744" xlink:href="#eq_44c947b2_9MJMAIN-73" y="0"/&gt;
 &lt;use x="4143" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
 &lt;use x="4592" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="4875" xlink:href="#eq_44c947b2_9MJMAIN-73" y="0"/&gt;
 &lt;use x="5274" xlink:href="#eq_44c947b2_9MJMAIN-6D" y="0"/&gt;
 &lt;use x="6112" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="6395" xlink:href="#eq_44c947b2_9MJMAIN-63" y="0"/&gt;
 &lt;use x="7094" xlink:href="#eq_44c947b2_9MJMAIN-77" y="0"/&gt;
 &lt;use x="7821" xlink:href="#eq_44c947b2_9MJMAIN-61" y="0"/&gt;
 &lt;use x="8326" xlink:href="#eq_44c947b2_9MJMAIN-76" y="0"/&gt;
 &lt;use x="8859" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
 &lt;use x="9558" xlink:href="#eq_44c947b2_9MJMAIN-73" y="0"/&gt;
 &lt;use x="9957" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="10240" xlink:href="#eq_44c947b2_9MJMAIN-7A" y="0"/&gt;
 &lt;use x="10689" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
&lt;g transform="translate(11415,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_9MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(1060,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1428" xlink:href="#eq_44c947b2_9MJMAIN-34" y="583"/&gt;
&lt;/g&gt;
 &lt;use x="2805" xlink:href="#eq_44c947b2_9MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(3866,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="5098" xlink:href="#eq_44c947b2_9MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(6103,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="7336" xlink:href="#eq_44c947b2_9MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(8341,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="9573" xlink:href="#eq_44c947b2_9MJMAIN-D7" y="0"/&gt;
&lt;g transform="translate(10578,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use x="11866" xlink:href="#eq_44c947b2_9MJMAIN-3D" y="0"/&gt;
&lt;g transform="translate(12927,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-31"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(14237,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-30"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
 &lt;use x="1010" xlink:href="#eq_44c947b2_9MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(16086,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_9MJMAIN-74"/&gt;
 &lt;use x="394" xlink:href="#eq_44c947b2_9MJMAIN-69" y="0"/&gt;
 &lt;use x="677" xlink:href="#eq_44c947b2_9MJMAIN-6D" y="0"/&gt;
 &lt;use x="1515" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
 &lt;use x="1964" xlink:href="#eq_44c947b2_9MJMAIN-73" y="0"/&gt;
 &lt;use x="2613" xlink:href="#eq_44c947b2_9MJMAIN-6C" y="0"/&gt;
 &lt;use x="2896" xlink:href="#eq_44c947b2_9MJMAIN-61" y="0"/&gt;
 &lt;use x="3401" xlink:href="#eq_44c947b2_9MJMAIN-72" y="0"/&gt;
 &lt;use x="3798" xlink:href="#eq_44c947b2_9MJMAIN-67" y="0"/&gt;
 &lt;use x="4303" xlink:href="#eq_44c947b2_9MJMAIN-65" y="0"/&gt;
 &lt;use x="4752" xlink:href="#eq_44c947b2_9MJMAIN-72" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.1.2 Interpreting a graph</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.1.2</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Graphs can both reveal and conceal information. Read the study note below on how to interpret a graph, then complete Activity 4.&lt;/p&gt;&lt;div class="oucontent-studynote oucontent-s-gradient oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Study note: Interpreting a graph&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;It is important that you look closely at the axes of a graph to make sure that you understand what is being plotted, and on what scale. Some graphs just show the general trend; others may show individual points, with or without connecting lines. Where connecting lines are drawn, as in Figure 11(b), the effect may be to lead your eyes to think that an isolated point is more important than it really is. The visual impact of a graph is both a strength and a weakness! &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 4 Taking readings from a graph &lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;From the graph in Figure 11(a), what was the maximum global lead production in tonnes per year before the Industrial Revolution? When did this occur, and what was the lead concentration in the Greenland ice core at this time?&lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3352432" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/3d8ac33f/u116r_b2p3_f3_09.eps.small.jpg" alt="Described image" style="max-width:334px;" class="oucontent-figure-image" longdesc="view.php&amp;amp;extra=longdesc_idp3357920"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3352432"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 11 (repeated)&lt;/b&gt; (a) Global lead production; (b) the concentration of lead in a Greenland ice core (years before present or &amp;#x2018;BP’) (adapted from Hong et al., 1994) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3357920&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3357920"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3352432"&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;The peak in global lead production before the Industrial Revolution was approximately 2000 years before the present (BP). At this point, the global lead production was about 10&lt;sup&gt;5&lt;/sup&gt; tonnes per year. The concentration of lead in the Greenland ice core at this time was approximately 3 &amp;#xD7; 10&lt;sup&gt;–12&lt;/sup&gt; grams of lead per gram of ice. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Extracting lead from its ores, and to a lesser extent working the lead into pipes etc. (the word &amp;#x2018;plumbing’ derives directly from the Latin for lead,&lt;i&gt; plumbum&lt;/i&gt;, as does its chemical symbol, Pb) results in a discharge of lead-rich dust to the atmosphere. Given the pattern of wind movements shown in &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.4#fig9"&gt;Figure 9&lt;/a&gt;, it is therefore not surprising that lead should appear in the precipitation over the Arctic for the corresponding period. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.1.2</guid>
    <dc:title>3.1.2 Interpreting a graph</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Graphs can both reveal and conceal information. Read the study note below on how to interpret a graph, then complete Activity 4.&lt;/p&gt;&lt;div class="oucontent-studynote oucontent-s-gradient oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Study note: Interpreting a graph&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;It is important that you look closely at the axes of a graph to make sure that you understand what is being plotted, and on what scale. Some graphs just show the general trend; others may show individual points, with or without connecting lines. Where connecting lines are drawn, as in Figure 11(b), the effect may be to lead your eyes to think that an isolated point is more important than it really is. The visual impact of a graph is both a strength and a weakness! &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 4 Taking readings from a graph &lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;From the graph in Figure 11(a), what was the maximum global lead production in tonnes per year before the Industrial Revolution? When did this occur, and what was the lead concentration in the Greenland ice core at this time?&lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3352432" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/3d8ac33f/u116r_b2p3_f3_09.eps.small.jpg" alt="Described image" style="max-width:334px;" class="oucontent-figure-image" longdesc="view.php&amp;extra=longdesc_idp3357920"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3352432"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 11 (repeated)&lt;/b&gt; (a) Global lead production; (b) the concentration of lead in a Greenland ice core (years before present or ‘BP’) (adapted from Hong et al., 1994) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3357920&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3357920"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3352432"&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;The peak in global lead production before the Industrial Revolution was approximately 2000 years before the present (BP). At this point, the global lead production was about 10&lt;sup&gt;5&lt;/sup&gt; tonnes per year. The concentration of lead in the Greenland ice core at this time was approximately 3 × 10&lt;sup&gt;–12&lt;/sup&gt; grams of lead per gram of ice. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Extracting lead from its ores, and to a lesser extent working the lead into pipes etc. (the word ‘plumbing’ derives directly from the Latin for lead,&lt;i&gt; plumbum&lt;/i&gt;, as does its chemical symbol, Pb) results in a discharge of lead-rich dust to the atmosphere. Given the pattern of wind movements shown in &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.4#fig9"&gt;Figure 9&lt;/a&gt;, it is therefore not surprising that lead should appear in the precipitation over the Arctic for the corresponding period. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.2 The past temperature of the planet</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.2</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Measuring the concentration of lead in the ice is called a direct measurement: the ice sample is melted and the water produced contains a very small but readily measured quantity of lead dust. A very accurate set of scales is needed to measure it, but it is a directly measured quantity. &lt;/p&gt;&lt;p&gt;There are also many indirect measurements that can be made using proxies. The concept for using proxies is both simple and brilliant: one measured property allows inference about other states of the system (Box 1). &lt;/p&gt;&lt;div class="oucontent-box oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Box 1 Proxies and correlation&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;The word proxy is used in various settings to mean a stand-in: representing someone or something else. One example is a proxy vote, where one person agrees to represent the voting intention of another person in the voting booth. In science, the word &amp;#x2018;proxy’ is used when scientists measure one, two or even several direct quantities and use these values to infer some other quantity they wish to know. This is an indirect method of measurement. It is possible for measurements of one quantity to represent another quantity when there is a relationship between the two. You can say that the quantity is a proxy, and that the measurements of the quantity are proxy data. &lt;/p&gt;&lt;p&gt;Take the following as an example:&lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;I measure my waistline, my weight and my height every week for a year, there will be a data set consisting of three variables measured 52 times over the course of a year. They are called variables because they are varying quantities; in this case, they vary with time. Typical results might be like those shown in Figure 12. &lt;/p&gt;&lt;p&gt;Because I have stopped growing, my height does not change throughout the year so, as in the top panel of Figure 12, the graph is a flat line. However, both my waistline and weight do vary. With my body shape, when my weight goes up it all goes onto my waistline, so the graph of my waistline and the graph of my weight vary in the same way. As my waistline gets bigger, I get heavier. The opposite also applies – when my weight goes down, my waistline reduces. Because my waistline and weight seem to vary together, you say the two variables are correlated. In this case, they are positively correlated because when my waistline gets bigger, so does my weight. If, for some strange reason, as my waistline got bigger my weight decreased (not a likely scenario!), then the two variables would be said to be negatively correlated. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:349px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/d3d7476c/u116r_b2p3_f3_10.eps.png" alt="Described image" width="349" height="435" style="max-width:349px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3373696"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 12&lt;/b&gt; Schematic measurements of height, waistline and weight for the author throughout a year &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3373696&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3373696"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Because my waistline is correlated to my weight, there is a mathematical relationship between the two variables. So, for example, it might be that when my waistline increased by 2&amp;#x2009;cm, I was 1&amp;#x2009;kg heavier. If I just gave you the data for my waistline over a year, and my starting weight, you could derive values for my weight over the whole year. This makes my waistline a proxy for my weight. If I then told you that I tended to eat more over Christmas and exercised a lot in the summer, then you could think it reasonable to add dates to the graphs in Figure 12. My weight and waistline would then be a proxy for the time of year as well. &lt;/p&gt;&lt;/blockquote&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;It is important to understand that correlated variables do not tell you anything about the cause of the observation – they only tell you that the items vary in a particular way. In the example above, clearly the expansion of waistline is not the cause of weight changing – it is the result of it. A more extreme example of this is that the number of people in the British armed forces has decreased since the First World War, and at the same time global atmospheric temperatures have risen. While these two variables are negatively correlated, there is no physical mechanism for one influencing or controlling the other. &lt;/p&gt;&lt;p&gt;So, just because two things are correlated  it does not necessarily mean that one causes the other, although in the case of the lead data there is an obvious causal link. What is perhaps not so obvious is that you cannot be sure just by looking at a graph whether two variables are correlated. &lt;/p&gt;&lt;p&gt;To be sure that the observations do show correlation, scientists use formal statistical tests. The details of these are beyond the scope of this course, but they are essential in scientific investigation. In principle, statistical tests use mathematics to tell the likelihood that the results you see occur just by chance. If the mathematics suggest that the results are indeed just chance, you cannot draw any conclusions from them. If, however, the likelihood of it being just a chance relationship is very small, then you can assume that there really is some robust relationship between the two. &lt;/p&gt;&lt;p&gt;To use one item as a proxy for others, you therefore need first to be sure that there really is a correlation, according to accepted scientific standards. Observing a correlation should also lead you to look for a plausible mechanism whereby one item affects the other. In the example of temperature and service personnel given above, such a mechanism is almost totally implausible. Even if the correlation were statistically acceptable, its implausibility would lead a scientist to reject it as being due to chance. &lt;/p&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 5 Proxy variables&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Do the data in Figure 11 suggest that lead production and the concentration of lead in ice cores are correlated, so that one could be used as a proxy for the other? &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3380720" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/3d8ac33f/u116r_b2p3_f3_09.eps.small.jpg" alt="Described image" style="max-width:334px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3386208"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3380720"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 11 (repeated)&lt;/b&gt; (a) Global lead production; (b) the concentration of lead in a Greenland ice core (years before present or &amp;#x2018;BP’) (adapted from Hong et al., 1994) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3386208&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3386208"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3380720"&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;Yes, they do appear to be correlated as the values rise and fall together. There is also a direct physical link between the two items, so it might be acceptable to use one as a proxy for the other. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;The example in Activity 5 shows that some measurements can be direct or a proxy, depending on the question of interest. If you wish to know about lead dust concentrations in Greenland ice in the past, you can measure them directly from the lead dust trapped in ice cores. If you wish to know about global lead production in the past, you can try to use measurements of lead concentrations in Greenland ice cores as proxy data, as long as you can estimate the relationship between the two. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.2</guid>
    <dc:title>3.2 The past temperature of the planet</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Measuring the concentration of lead in the ice is called a direct measurement: the ice sample is melted and the water produced contains a very small but readily measured quantity of lead dust. A very accurate set of scales is needed to measure it, but it is a directly measured quantity. &lt;/p&gt;&lt;p&gt;There are also many indirect measurements that can be made using proxies. The concept for using proxies is both simple and brilliant: one measured property allows inference about other states of the system (Box 1). &lt;/p&gt;&lt;div class="oucontent-box oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Box 1 Proxies and correlation&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;The word proxy is used in various settings to mean a stand-in: representing someone or something else. One example is a proxy vote, where one person agrees to represent the voting intention of another person in the voting booth. In science, the word ‘proxy’ is used when scientists measure one, two or even several direct quantities and use these values to infer some other quantity they wish to know. This is an indirect method of measurement. It is possible for measurements of one quantity to represent another quantity when there is a relationship between the two. You can say that the quantity is a proxy, and that the measurements of the quantity are proxy data. &lt;/p&gt;&lt;p&gt;Take the following as an example:&lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;I measure my waistline, my weight and my height every week for a year, there will be a data set consisting of three variables measured 52 times over the course of a year. They are called variables because they are varying quantities; in this case, they vary with time. Typical results might be like those shown in Figure 12. &lt;/p&gt;&lt;p&gt;Because I have stopped growing, my height does not change throughout the year so, as in the top panel of Figure 12, the graph is a flat line. However, both my waistline and weight do vary. With my body shape, when my weight goes up it all goes onto my waistline, so the graph of my waistline and the graph of my weight vary in the same way. As my waistline gets bigger, I get heavier. The opposite also applies – when my weight goes down, my waistline reduces. Because my waistline and weight seem to vary together, you say the two variables are correlated. In this case, they are positively correlated because when my waistline gets bigger, so does my weight. If, for some strange reason, as my waistline got bigger my weight decreased (not a likely scenario!), then the two variables would be said to be negatively correlated. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:349px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/d3d7476c/u116r_b2p3_f3_10.eps.png" alt="Described image" width="349" height="435" style="max-width:349px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3373696"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 12&lt;/b&gt; Schematic measurements of height, waistline and weight for the author throughout a year &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3373696&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3373696"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Because my waistline is correlated to my weight, there is a mathematical relationship between the two variables. So, for example, it might be that when my waistline increased by 2 cm, I was 1 kg heavier. If I just gave you the data for my waistline over a year, and my starting weight, you could derive values for my weight over the whole year. This makes my waistline a proxy for my weight. If I then told you that I tended to eat more over Christmas and exercised a lot in the summer, then you could think it reasonable to add dates to the graphs in Figure 12. My weight and waistline would then be a proxy for the time of year as well. &lt;/p&gt;&lt;/blockquote&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;It is important to understand that correlated variables do not tell you anything about the cause of the observation – they only tell you that the items vary in a particular way. In the example above, clearly the expansion of waistline is not the cause of weight changing – it is the result of it. A more extreme example of this is that the number of people in the British armed forces has decreased since the First World War, and at the same time global atmospheric temperatures have risen. While these two variables are negatively correlated, there is no physical mechanism for one influencing or controlling the other. &lt;/p&gt;&lt;p&gt;So, just because two things are correlated  it does not necessarily mean that one causes the other, although in the case of the lead data there is an obvious causal link. What is perhaps not so obvious is that you cannot be sure just by looking at a graph whether two variables are correlated. &lt;/p&gt;&lt;p&gt;To be sure that the observations do show correlation, scientists use formal statistical tests. The details of these are beyond the scope of this course, but they are essential in scientific investigation. In principle, statistical tests use mathematics to tell the likelihood that the results you see occur just by chance. If the mathematics suggest that the results are indeed just chance, you cannot draw any conclusions from them. If, however, the likelihood of it being just a chance relationship is very small, then you can assume that there really is some robust relationship between the two. &lt;/p&gt;&lt;p&gt;To use one item as a proxy for others, you therefore need first to be sure that there really is a correlation, according to accepted scientific standards. Observing a correlation should also lead you to look for a plausible mechanism whereby one item affects the other. In the example of temperature and service personnel given above, such a mechanism is almost totally implausible. Even if the correlation were statistically acceptable, its implausibility would lead a scientist to reject it as being due to chance. &lt;/p&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 5 Proxy variables&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Do the data in Figure 11 suggest that lead production and the concentration of lead in ice cores are correlated, so that one could be used as a proxy for the other? &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3380720" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/3d8ac33f/u116r_b2p3_f3_09.eps.small.jpg" alt="Described image" style="max-width:334px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3386208"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3380720"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 11 (repeated)&lt;/b&gt; (a) Global lead production; (b) the concentration of lead in a Greenland ice core (years before present or ‘BP’) (adapted from Hong et al., 1994) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3386208&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3386208"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3380720"&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;Yes, they do appear to be correlated as the values rise and fall together. There is also a direct physical link between the two items, so it might be acceptable to use one as a proxy for the other. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;The example in Activity 5 shows that some measurements can be direct or a proxy, depending on the question of interest. If you wish to know about lead dust concentrations in Greenland ice in the past, you can measure them directly from the lead dust trapped in ice cores. If you wish to know about global lead production in the past, you can try to use measurements of lead concentrations in Greenland ice cores as proxy data, as long as you can estimate the relationship between the two. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.3 Proxy data and past climates</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.3</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The process of analysis and checking for plausible mechanisms using proxy data has revolutionised the study of past climates. This is because many parts of the environment respond to climate: they change if the climate becomes warmer, or wetter, and so on. Wherever these changes are preserved, they serve as a record of the past climates. &lt;/p&gt;&lt;p&gt;For example, the thickness of annual layers in an ice core is a simple proxy for moisture in the atmosphere at the time snow fell. This is because more snow forms and falls when the air is more moist. A thicker layer means more snow fell, so the atmosphere must have been wetter to form and hold the increased snow before it fell. A thinner annual snow layer would imply the opposite. &lt;/p&gt;&lt;p&gt;Another type of proxy data from ice cores is the chemical composition of the water itself. Past Antarctic temperatures can be deduced from ice cores. Past temperature records have been constructed entirely from the relative amounts of oxygen-16 and oxygen-18 &lt;i&gt;isotopes &lt;/i&gt;(see &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.3.1"&gt;Study note: the central part of an atom&lt;/a&gt;). Water molecules in the ice have a proportion of all three isotopes of oxygen in them, and it has been shown that the relative amounts of the different isotopes vary depending on the temperature of the oceans at the time the snow fell. So scientists can measure the amount of oxygen-16 compared with the amount of oxygen-18 in an annual layer of an ice core to derive the temperature at that time. The ratio of the oxygen isotopes is a proxy for the temperature of the planet.&lt;/p&gt;&lt;p&gt;You now know that proxy data measured in ice cores include:&lt;/p&gt;&lt;ul class="oucontent-bulleted"&gt;&lt;li&gt;the concentration of lead, as a proxy for global lead production&lt;/li&gt;&lt;li&gt;the thickness of annual layers, as a proxy for atmospheric moisture&lt;/li&gt;&lt;li&gt;the ratio of oxygen isotopes, as a proxy for temperature.&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;There are also many other types of proxy than those found in ice cores. For example, the types of pollen found in ancient lake and ocean sediments are a proxy for the temperature and rainfall in the area at the time the plants grew.&lt;/p&gt;&lt;p&gt;The great advantage of proxies is that they form a historical record of the planet, surviving from the past and giving information about things that cannot be observed directly. An important disadvantage is that proxy data are less accurate than direct measurements. This is because as well as measuring the proxy variable, scientists need to know the relationship between this and the variable of interest, which is an extra source of error.&lt;/p&gt;&lt;p&gt;The following video sees poet Nick Drake read another of his poems from &lt;i&gt;The Farewell Glacier&lt;/i&gt;. This one is about ice cores and how they can give a picture of the past. Nick is filmed reading in the ice core laboratory at the British Antarctic Survey, which is kept at a temperature of around minus 20&amp;#xB0;C.&lt;/p&gt;&lt;div id="idm13208912" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/941483c7/u116_2017j_vid103g-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 5&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7035a50a/u116_2017j_vid103g-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/75dun396/u116_2017j_vid103g_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/bflxlixi/u116_2017j_vid103g-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/e5dmqxbt/u116_2017j_vid103g-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/2c49fc0a/u116_2017j_vid103g_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/2c49fc0a/u116_2017j_vid103g_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 5&lt;/b&gt; The ice core&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/941483c7/u116_2017j_vid103g-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7035a50a/u116_2017j_vid103g-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_288420c05"&gt;&lt;div&gt;&lt;a href="#skip_transcript_288420c05" class="accesshide"&gt;Skip transcript: Video 5 The ice core&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 5 The ice core&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_288420c05"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;NICK DRAKE:&lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;This is the library of ice. A high security auditorium of silence far below zero. An archive of cold that keeps me as I am and reminds me of home now that it is going, going. I am a long story, 10,000 feet long, 500,000 years old. A chronicle of lost time back to the first dark, too dark for telling. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;I am every winter's fall. I am the keeper of the air, of every vanished summer. I distill lost atmospheres pressed into ghosts kept close to my cold, cold heart. And as for you, what story would you like to hear on your two feet tracking the snow, two by two, two by two, two by two? &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Here is the dust and music of your brief cities. Here is the ash and smoke. Here are your traffic jams and vapour trails. Here are your holidays in the sun and your masterpieces and your pop songs. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Here are your first cries and last whispers. Here is where it went right and where it went wrong. Easy come, easy go. So I know why you slice moon after moon from me, holding each fragile face up to your search lights while you measure and record the tiny cracks and snaps of my melting mysteries. Because you know you are the people who have changed nature and now you are on your own. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;I have no more to tell. No questions, please, about the future, for now the great narrator, silence, takes over. Listen carefully to her story for you are in it. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_288420c05"&gt;End transcript: Video 5 The ice core&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_288420c05"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab29" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab210" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_288420c05"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/941483c7/u116_2017j_vid103g-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 5&lt;/b&gt; The ice core&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.3#idm13208912"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;                    &lt;script&gt;
                        function newtarget(container) {
                            var downloads = document.getElementsByClassName(container),
                                length = downloads.length;
                        
                            for (var i=0; i&lt;length; i++) {
                                var a = downloads[i].getElementsByTagName('a');
                                for (var j = 0; j &lt; a.length; j++) {
                                    a[j].setAttribute('target', '_blank');
                                }
                            }
                        }
                        
                        newtarget('oucontent-media-download');
                    &lt;/script&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.3</guid>
    <dc:title>3.3 Proxy data and past climates</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The process of analysis and checking for plausible mechanisms using proxy data has revolutionised the study of past climates. This is because many parts of the environment respond to climate: they change if the climate becomes warmer, or wetter, and so on. Wherever these changes are preserved, they serve as a record of the past climates. &lt;/p&gt;&lt;p&gt;For example, the thickness of annual layers in an ice core is a simple proxy for moisture in the atmosphere at the time snow fell. This is because more snow forms and falls when the air is more moist. A thicker layer means more snow fell, so the atmosphere must have been wetter to form and hold the increased snow before it fell. A thinner annual snow layer would imply the opposite. &lt;/p&gt;&lt;p&gt;Another type of proxy data from ice cores is the chemical composition of the water itself. Past Antarctic temperatures can be deduced from ice cores. Past temperature records have been constructed entirely from the relative amounts of oxygen-16 and oxygen-18 &lt;i&gt;isotopes &lt;/i&gt;(see &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.3.1"&gt;Study note: the central part of an atom&lt;/a&gt;). Water molecules in the ice have a proportion of all three isotopes of oxygen in them, and it has been shown that the relative amounts of the different isotopes vary depending on the temperature of the oceans at the time the snow fell. So scientists can measure the amount of oxygen-16 compared with the amount of oxygen-18 in an annual layer of an ice core to derive the temperature at that time. The ratio of the oxygen isotopes is a proxy for the temperature of the planet.&lt;/p&gt;&lt;p&gt;You now know that proxy data measured in ice cores include:&lt;/p&gt;&lt;ul class="oucontent-bulleted"&gt;&lt;li&gt;the concentration of lead, as a proxy for global lead production&lt;/li&gt;&lt;li&gt;the thickness of annual layers, as a proxy for atmospheric moisture&lt;/li&gt;&lt;li&gt;the ratio of oxygen isotopes, as a proxy for temperature.&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;There are also many other types of proxy than those found in ice cores. For example, the types of pollen found in ancient lake and ocean sediments are a proxy for the temperature and rainfall in the area at the time the plants grew.&lt;/p&gt;&lt;p&gt;The great advantage of proxies is that they form a historical record of the planet, surviving from the past and giving information about things that cannot be observed directly. An important disadvantage is that proxy data are less accurate than direct measurements. This is because as well as measuring the proxy variable, scientists need to know the relationship between this and the variable of interest, which is an extra source of error.&lt;/p&gt;&lt;p&gt;The following video sees poet Nick Drake read another of his poems from &lt;i&gt;The Farewell Glacier&lt;/i&gt;. This one is about ice cores and how they can give a picture of the past. Nick is filmed reading in the ice core laboratory at the British Antarctic Survey, which is kept at a temperature of around minus 20°C.&lt;/p&gt;&lt;div id="idm13208912" class="oucontent-media oucontent-audio-video oucontent-unstableid" style="width:512px;"&gt;&lt;div class="oucontent-default-filter "&gt;&lt;span class="oumediafilter"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/941483c7/u116_2017j_vid103g-640x360.mp4?forcedownload=1" class="oumedialinknoscript omp-spacer"&gt;Download this video clip.&lt;/a&gt;&lt;span class="accesshide"&gt;Video player: Video 5&lt;/span&gt;&lt;a href="#" class="omp-enter-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to enter to media by using tab --&gt;
&lt;/a&gt;
&lt;video  style="display: none;"
  data-omp-type = 'video'
  data-omp-player = 'html5'
  data-omp-sizing = 'custom'
  data-omp-width = '512'
  data-omp-height = ''
  data-omp-contextid = '1327281'
  data-omp-renderstyle = 'compact'
  data-omp-uilanguage = 'openlearn'
  preload = 'none'
  controls = 'controls'
  data-omp-disable-features = ',playlist,chapters,transcripts,textdescriptions,autoplay,annotation,sources,language,download,share,description,title,share,copyright'
  data-omp-poster = 'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7035a50a/u116_2017j_vid103g-640x360a.png'
  data-omp-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  data-omp-ios-base-url =  'https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333'
  src = '' &lt;!-- put this to avoid browser throw the error "Media resource load failed" --&gt;
&gt;
            &lt;div data-omp-name = 'manifest'
            data-omp-manifest = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/75dun396/u116_2017j_vid103g_1_server_manifest.xml"&gt;&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "/3aed37c5/bflxlixi/u116_2017j_vid103g-640x360.mp4"
                data-omp-label = "640x360 mp4"
                data-omp-resolution = "640"
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = "default"/&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "subtitles"
            data-omp-type = "text/vtt"
            data-omp-src = "/3aed37c5/e5dmqxbt/u116_2017j_vid103g-640x360.vtt"
            data-omp-label = "English subtitles"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "html"
            data-omp-src = "/3aed37c5/2c49fc0a/u116_2017j_vid103g_1_transcript.html"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'track'
            data-omp-srclang = "en"
            data-omp-kind = "transcripts"
            data-omp-type = "text"
            data-omp-src = "/3aed37c5/2c49fc0a/u116_2017j_vid103g_1_transcript.txt"
            data-omp-label = "English transcript"&gt;&lt;/div&gt;              &lt;div data-omp-name = 'title'&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 5&lt;/b&gt; The ice core&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;              &lt;source type = "video/mp4"
                data-omp-src = "https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/941483c7/u116_2017j_vid103g-640x360.mp4"
                data-omp-label = ""
                data-omp-resolution = ""
                data-omp-provider = ""
                data-omp-player = ""
                data-omp-default = ""/&gt;  &lt;/video&gt;
&lt;a href="#" class="omp-exit-media omp-accesshide" tabindex="-1"&gt;
  &lt;!-- This tag is a flag to oump standalone recognizes that user prepare to exit media by using tab --&gt;
&lt;/a&gt;
&lt;/span&gt;&lt;div&gt;&lt;div class="oucontent-if-printable oucontent-video-image"&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/7035a50a/u116_2017j_vid103g-640x360a.png" alt="" width="512" height="288" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide"/&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="filter_transcript" id="transcript_288420c05"&gt;&lt;div&gt;&lt;a href="#skip_transcript_288420c05" class="accesshide"&gt;Skip transcript: Video 5 The ice core&lt;/a&gt;&lt;h4 class="accesshide"&gt;Transcript: Video 5 The ice core&lt;/h4&gt;&lt;/div&gt;&lt;div class="filter_transcript_box" tabindex="0" id="content_transcript_288420c05"&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-speaker"&gt;NICK DRAKE:&lt;/div&gt;&lt;div class="oucontent-dialogue-remark"&gt;This is the library of ice. A high security auditorium of silence far below zero. An archive of cold that keeps me as I am and reminds me of home now that it is going, going. I am a long story, 10,000 feet long, 500,000 years old. A chronicle of lost time back to the first dark, too dark for telling. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;I am every winter's fall. I am the keeper of the air, of every vanished summer. I distill lost atmospheres pressed into ghosts kept close to my cold, cold heart. And as for you, what story would you like to hear on your two feet tracking the snow, two by two, two by two, two by two? &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Here is the dust and music of your brief cities. Here is the ash and smoke. Here are your traffic jams and vapour trails. Here are your holidays in the sun and your masterpieces and your pop songs. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;Here are your first cries and last whispers. Here is where it went right and where it went wrong. Easy come, easy go. So I know why you slice moon after moon from me, holding each fragile face up to your search lights while you measure and record the tiny cracks and snaps of my melting mysteries. Because you know you are the people who have changed nature and now you are on your own. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-dialogue-line"&gt;&lt;div class="oucontent-dialogue-remark"&gt;I have no more to tell. No questions, please, about the future, for now the great narrator, silence, takes over. Listen carefully to her story for you are in it. &lt;/div&gt;&lt;div class="clearer"&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;span class="accesshide" id="skip_transcript_288420c05"&gt;End transcript: Video 5 The ice core&lt;/span&gt;&lt;/div&gt;&lt;div class="filter_transcript_output" id="output_transcript_288420c05"&gt;&lt;div class="filter_transcript_copy"&gt;&lt;a href="#" id="action_link5c472207d1ab29" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Copy this transcript to the clipboard" title="Copy this transcript to the clipboard" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/copy" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="filter_transcript_print"&gt;&lt;a href="#" id="action_link5c472207d1ab210" class="action-icon" &gt;&lt;img class="icon iconsmall" alt="Print this transcript" title="Print this transcript" src="https://www.open.edu/openlearn/ocw/theme/image.php/_s/openlearnng/core/1543316262/t/print" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-transcriptlink"&gt;&lt;span class="filter_transcript_button" id="button_transcript_288420c05"&gt;Show transcript|Hide transcript&lt;/span&gt;&lt;/div&gt;&lt;div class="oucontent-media-download"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/3aed37c5/941483c7/u116_2017j_vid103g-640x360.mp4?forcedownload=1" title="Download this video clip"&gt;Download&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Video 5&lt;/b&gt; The ice core&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-interaction-print"&gt;&lt;div class="oucontent-interaction-unavailable"&gt;Interactive feature not available in single page view (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.3#idm13208912"&gt;see it in standard view&lt;/a&gt;).&lt;/div&gt;&lt;/div&gt;                    &lt;script&gt;
                        function newtarget(container) {
                            var downloads = document.getElementsByClassName(container),
                                length = downloads.length;
                        
                            for (var i=0; i&lt;length; i++) {
                                var a = downloads[i].getElementsByTagName('a');
                                for (var j = 0; j &lt; a.length; j++) {
                                    a[j].setAttribute('target', '_blank');
                                }
                            }
                        }
                        
                        newtarget('oucontent-media-download');
                    &lt;/script&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.3.1 The central part of an atom</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.3.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;In this study note you will look at the central part of the atom, the nucleus, and isotopes which were discussed in the previous section. &lt;/p&gt;&lt;div class="oucontent-studynote oucontent-s-gradient oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Study note: The central part of an atom&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;The central part of an atom, which makes up most of its mass, is called the &lt;i&gt;nucleus&lt;/i&gt;; this is surrounded by an &amp;#x2018;electron cloud’, which largely determines how the atom reacts with other atoms or molecules. The nucleus of an atom is made up of building blocks called &lt;i&gt;protons&lt;/i&gt; and &lt;i&gt;neutrons&lt;/i&gt;. The number of protons determines what element the atom actually is. An atom with one proton is hydrogen, and an atom with eight protons is oxygen. &lt;/p&gt;&lt;p&gt;However, the number of neutrons in the nucleus of an atom can vary. Oxygen exists in its natural state with eight protons and either eight, nine or ten neutrons. Atoms with the same number of protons but different numbers of neutrons are called isotopes. The most abundant oxygen isotope, with eight protons and eight neutrons, is called oxygen-16 (8 protons + 8 neutrons), the oxygen isotope which has eight protons and nine neutrons is oxygen-17 (8 protons + 9 neutrons), and the oxygen isotope which has eight protons and ten neutrons is called oxygen-18 (8 protons + 10 neutrons). &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.3.1</guid>
    <dc:title>3.3.1 The central part of an atom</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;In this study note you will look at the central part of the atom, the nucleus, and isotopes which were discussed in the previous section. &lt;/p&gt;&lt;div class="oucontent-studynote oucontent-s-gradient oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Study note: The central part of an atom&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;The central part of an atom, which makes up most of its mass, is called the &lt;i&gt;nucleus&lt;/i&gt;; this is surrounded by an ‘electron cloud’, which largely determines how the atom reacts with other atoms or molecules. The nucleus of an atom is made up of building blocks called &lt;i&gt;protons&lt;/i&gt; and &lt;i&gt;neutrons&lt;/i&gt;. The number of protons determines what element the atom actually is. An atom with one proton is hydrogen, and an atom with eight protons is oxygen. &lt;/p&gt;&lt;p&gt;However, the number of neutrons in the nucleus of an atom can vary. Oxygen exists in its natural state with eight protons and either eight, nine or ten neutrons. Atoms with the same number of protons but different numbers of neutrons are called isotopes. The most abundant oxygen isotope, with eight protons and eight neutrons, is called oxygen-16 (8 protons + 8 neutrons), the oxygen isotope which has eight protons and nine neutrons is oxygen-17 (8 protons + 9 neutrons), and the oxygen isotope which has eight protons and ten neutrons is called oxygen-18 (8 protons + 10 neutrons). &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.4 Ice core going back 800&amp;#xA0;000 years</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.4</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Throughout this course so far the focus has been on the Arctic, but because some data from the ice cores tell us about conditions over the entire planet (such as Figure 11), you will now look at data from another core, this time from Antarctica. The Antarctica ice cores go back much further in time than any Greenland ones. The particular core you will look at now is called the EPICA (European Project for Ice Coring in Antarctica) – Dome C core. &lt;/p&gt;&lt;p&gt;Dome C is currently the longest ice core and has snow layers going back almost 800&amp;#x2009;000 years throughout the Quaternary, and includes the period when &lt;i&gt;Homo sapiens&lt;/i&gt; evolved. In fact, the EPICA core can be used to reconstruct Antarctic temperatures more than half a million years before &lt;i&gt;Homo sapiens&lt;/i&gt; ever walked the Earth (Figure 13). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:411px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3415344" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/e2072d79/u116r_b2p3_f3_11.eps.small.jpg" alt="Described image" style="max-width:411px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3421024"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3415344"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 13&lt;/b&gt; (a) Antarctic temperature changes from the EPICA ice core from 800&amp;#x2009;000 years before present (BP) up to 1911. The vertical temperature scale has 0&amp;#x2009;&amp;#xB0;C for the mean temperature over the past 1000 years, and goes from &amp;#x2212;10&amp;#x2009;&amp;#xB0;C to +5&amp;#x2009;&amp;#xB0;C relative to this (Jouzel et al., 2007). (b) Map showing location of Dome C in Antarctica. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3421024&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3421024"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3415344"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Figure 13(a) shows that Antarctic temperatures have varied considerably, but there also appear to be regular cyclical patterns. At the low points, the temperature shown by the core was as much as 10&amp;#x2009;&amp;#xB0;C colder than today: colder periods happen about every 100&amp;#x2009;000 years, with warmer periods between. Four times in the last 450&amp;#x2009;000 years, the intervening warm periods have been warmer than today (up to 5&amp;#x2009;&amp;#xB0;C warmer around 130&amp;#x2009;000 years ago). During the nine cold periods shown in Figure 13(a), the snow that fell in winter did not melt in the following summer heat, and the ice sheets grew. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.4</guid>
    <dc:title>3.4 Ice core going back 800 000 years</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Throughout this course so far the focus has been on the Arctic, but because some data from the ice cores tell us about conditions over the entire planet (such as Figure 11), you will now look at data from another core, this time from Antarctica. The Antarctica ice cores go back much further in time than any Greenland ones. The particular core you will look at now is called the EPICA (European Project for Ice Coring in Antarctica) – Dome C core. &lt;/p&gt;&lt;p&gt;Dome C is currently the longest ice core and has snow layers going back almost 800 000 years throughout the Quaternary, and includes the period when &lt;i&gt;Homo sapiens&lt;/i&gt; evolved. In fact, the EPICA core can be used to reconstruct Antarctic temperatures more than half a million years before &lt;i&gt;Homo sapiens&lt;/i&gt; ever walked the Earth (Figure 13). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:411px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3415344" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/e2072d79/u116r_b2p3_f3_11.eps.small.jpg" alt="Described image" style="max-width:411px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3421024"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3415344"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 13&lt;/b&gt; (a) Antarctic temperature changes from the EPICA ice core from 800 000 years before present (BP) up to 1911. The vertical temperature scale has 0 °C for the mean temperature over the past 1000 years, and goes from −10 °C to +5 °C relative to this (Jouzel et al., 2007). (b) Map showing location of Dome C in Antarctica. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3421024&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3421024"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3415344"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Figure 13(a) shows that Antarctic temperatures have varied considerably, but there also appear to be regular cyclical patterns. At the low points, the temperature shown by the core was as much as 10 °C colder than today: colder periods happen about every 100 000 years, with warmer periods between. Four times in the last 450 000 years, the intervening warm periods have been warmer than today (up to 5 °C warmer around 130 000 years ago). During the nine cold periods shown in Figure 13(a), the snow that fell in winter did not melt in the following summer heat, and the ice sheets grew. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.5 Interglacial periods and sea levels</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.5</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The EPICA ice core is a record of temperature variations in Antarctica, but what was happening in the rest of the world? Temperatures in other areas varied in a similar pattern of cycles. Other proxy data, such as from sediments found at the bottom of the oceans and lake beds, and the dating of rocks and analysis of ice cores from high-altitude mountain glaciers, show that during the cold periods a large proportion of the northern hemisphere was covered by an ice sheet that was, in places, several kilometres thick. Glaciers advanced, eroding valleys and mountains, and northern hemisphere wildlife moved south to more temperate regions. At the lowest temperatures the ice sheets covered about 10% of the entire planet – up to 30% of all the land. This meant sea levels were very much lower than today, so the area of exposed land was larger. Figure 14 shows how different the ice sheets and coastlines were. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/0845252f/u116r_b2p3_f3_12.tif.jpg" alt="Described image" width="512" height="376" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3430336"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 14&lt;/b&gt; The maximum extent of the ice sheets of the northern hemisphere during the 800&amp;#x2009;000 years of EPICA ice core data. Oceans are coloured dark blue and continents yellow. Ice is shown as lighter shades of blue.&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3430336&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3430336"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The sea froze as far south as the northern Spanish coast, and almost all of Britain was buried beneath the ice. These periods are called the ice ages. A vast quantity of water was locked in these ice sheets, so sea level was as much as 120&amp;#x2009;m lower than today, and there was dry land between Britain and the rest of Europe. During times between these cold periods, the ice sheets melted and the water from land ice meant that sea levels rose. These are called interglacials. &lt;/p&gt;&lt;p&gt;Note that it is only the melting of land ice that changes sea levels: melting sea ice does not change the sea level. Recall that ice is less dense than water, so it floats. As sea ice melts, it forms a smaller volume of water than the volume of ice. In fact, the volume of water formed is exactly the same as the volume of ice that was below the water surface when it was floating, so no change in sea level occurs (Figure 15). Of course, when ice on the land melts and flows into the seas, this does raise sea levels. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:352px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/70a458eb/u116r_b2p3_f3_13.eps.jpg" alt="Described image" width="352" height="171" style="max-width:352px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3437040"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 15&lt;/b&gt; Floating ice does not increase sea level when it melts, because the volume underwater is the same as the volume of water when the whole piece of floating ice melts. Ice on the land does increase sea level when it melts, because it adds new volume to the ocean. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3437040&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3437040"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="&amp;#10;            oucontent-saq&amp;#10;           oucontent-s-heavybox1 oucontent-s-box &amp;#10;        oucontent-s-noheading&amp;#10;      "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;What would happen to the size of the Arctic, as has been defined in this course, during an ice age?&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h2 class="oucontent-h4"&gt;Answer&lt;/h2&gt;&lt;p&gt;During an ice age, because the planet was colder and ice covered so much land, the treeline – our proxy for the Arctic definition – was much further south than today. This means that the area of the Arctic would have been much larger than at present. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 6 Rates of change of temperature&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Look carefully at the Antarctic temperature record in Figure 13(a). Are there any general observations you can make about the rates of change of temperature between the relatively warm and relatively cold periods? &lt;/p&gt;&lt;div class="oucontent-figure" style="width:411px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3440864" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/e2072d79/u116r_b2p3_f3_11.eps.small.jpg" alt="Described image" style="max-width:411px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3446544"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3440864"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 13 (repeated)&lt;/b&gt; (a) Antarctic temperature changes from the EPICA ice core from 800&amp;#x2009;000 years before present (BP) up to 1911. The vertical temperature scale has 0&amp;#x2009;&amp;#xB0;C for the mean temperature over the past 1000 years, and goes from &amp;#x2212;10&amp;#x2009;&amp;#xB0;C to +5&amp;#x2009;&amp;#xB0;C relative to this (Jouzel et al., 2007). (b) Map showing location of Dome C in Antarctica. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3446544&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3446544"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3440864"&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;The record in Figure 13(a) shows that the temperatures fall relatively slowly but rise relatively quickly – particularly in the most recent 450&amp;#x2009;000 years. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Assuming (correctly) that the timing of Antarctic temperature changes is a proxy for the timing of changes in the amount of ice on the planet, the ice sheets in Figure 14 took about 100&amp;#x2009;000 years to grow, and yet they rapidly decreased in size – typically in only approximately 10&amp;#x2009;000 years. Consequently, sea levels fall slowly as the ice sheets grow, and rise relatively quickly as they decay again. The obvious question from Figure 13 is what causes these regular fluctuations in temperature and ice cover. One of the most influential is the Milankovitch cycles of the Earth’s orbit. You will look at this in more detail next.&lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.5</guid>
    <dc:title>3.5 Interglacial periods and sea levels</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The EPICA ice core is a record of temperature variations in Antarctica, but what was happening in the rest of the world? Temperatures in other areas varied in a similar pattern of cycles. Other proxy data, such as from sediments found at the bottom of the oceans and lake beds, and the dating of rocks and analysis of ice cores from high-altitude mountain glaciers, show that during the cold periods a large proportion of the northern hemisphere was covered by an ice sheet that was, in places, several kilometres thick. Glaciers advanced, eroding valleys and mountains, and northern hemisphere wildlife moved south to more temperate regions. At the lowest temperatures the ice sheets covered about 10% of the entire planet – up to 30% of all the land. This meant sea levels were very much lower than today, so the area of exposed land was larger. Figure 14 shows how different the ice sheets and coastlines were. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/0845252f/u116r_b2p3_f3_12.tif.jpg" alt="Described image" width="512" height="376" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3430336"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 14&lt;/b&gt; The maximum extent of the ice sheets of the northern hemisphere during the 800 000 years of EPICA ice core data. Oceans are coloured dark blue and continents yellow. Ice is shown as lighter shades of blue.&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3430336&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3430336"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The sea froze as far south as the northern Spanish coast, and almost all of Britain was buried beneath the ice. These periods are called the ice ages. A vast quantity of water was locked in these ice sheets, so sea level was as much as 120 m lower than today, and there was dry land between Britain and the rest of Europe. During times between these cold periods, the ice sheets melted and the water from land ice meant that sea levels rose. These are called interglacials. &lt;/p&gt;&lt;p&gt;Note that it is only the melting of land ice that changes sea levels: melting sea ice does not change the sea level. Recall that ice is less dense than water, so it floats. As sea ice melts, it forms a smaller volume of water than the volume of ice. In fact, the volume of water formed is exactly the same as the volume of ice that was below the water surface when it was floating, so no change in sea level occurs (Figure 15). Of course, when ice on the land melts and flows into the seas, this does raise sea levels. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:352px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/70a458eb/u116r_b2p3_f3_13.eps.jpg" alt="Described image" width="352" height="171" style="max-width:352px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3437040"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 15&lt;/b&gt; Floating ice does not increase sea level when it melts, because the volume underwater is the same as the volume of water when the whole piece of floating ice melts. Ice on the land does increase sea level when it melts, because it adds new volume to the ocean. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3437040&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3437040"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="
            oucontent-saq
           oucontent-s-heavybox1 oucontent-s-box 
        oucontent-s-noheading
      "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;What would happen to the size of the Arctic, as has been defined in this course, during an ice age?&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h2 class="oucontent-h4"&gt;Answer&lt;/h2&gt;&lt;p&gt;During an ice age, because the planet was colder and ice covered so much land, the treeline – our proxy for the Arctic definition – was much further south than today. This means that the area of the Arctic would have been much larger than at present. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 6 Rates of change of temperature&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Look carefully at the Antarctic temperature record in Figure 13(a). Are there any general observations you can make about the rates of change of temperature between the relatively warm and relatively cold periods? &lt;/p&gt;&lt;div class="oucontent-figure" style="width:411px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3440864" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/e2072d79/u116r_b2p3_f3_11.eps.small.jpg" alt="Described image" style="max-width:411px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3446544"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3440864"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 13 (repeated)&lt;/b&gt; (a) Antarctic temperature changes from the EPICA ice core from 800 000 years before present (BP) up to 1911. The vertical temperature scale has 0 °C for the mean temperature over the past 1000 years, and goes from −10 °C to +5 °C relative to this (Jouzel et al., 2007). (b) Map showing location of Dome C in Antarctica. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3446544&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3446544"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3440864"&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;The record in Figure 13(a) shows that the temperatures fall relatively slowly but rise relatively quickly – particularly in the most recent 450 000 years. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Assuming (correctly) that the timing of Antarctic temperature changes is a proxy for the timing of changes in the amount of ice on the planet, the ice sheets in Figure 14 took about 100 000 years to grow, and yet they rapidly decreased in size – typically in only approximately 10 000 years. Consequently, sea levels fall slowly as the ice sheets grow, and rise relatively quickly as they decay again. The obvious question from Figure 13 is what causes these regular fluctuations in temperature and ice cover. One of the most influential is the Milankovitch cycles of the Earth’s orbit. You will look at this in more detail next.&lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.6 The Milankovitch model</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.6</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The amount of energy that the Earth receives from the Sun depends on its distance from the Sun. You tend to assume that this is constant, but in fact, the orbit of the Earth around the Sun is an ellipse – with the Sun at one of its foci (Figure 16) – so the distance from the Earth to the Sun varies over the course of an orbit (one year). If the Sun emits a constant amount of energy, then when the Earth is closer it will receive more than when it is further away. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/6f57f75a/u116r_b2p3_f3_14.eps.jpg" alt="Described image" width="512" height="372" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3456128"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 16&lt;/b&gt; The orbit of the Earth around the Sun is an ellipse, so throughout a year the Earth–Sun distance, and consequently the amount of solar energy received at the surface of the Earth, varies. Note that this picture shows the elliptical shape of the orbit greatly exaggerated. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3456128&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3456128"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;However, the shape of the ellipse also varies with time, and the Earth’s axis of rotation also wobbles, like a gyroscope. The Serbian geophysicist Milutin Milankovitch realised in 1920 that the varying energy received by the Earth as a result of these two factors could be the cause of the ice ages. &lt;/p&gt;&lt;p&gt;Milankovitch showed that the ellipse changes shape over periods of about 100&amp;#x2009;000 years. The timing of these changes, combined with the wobble in the Earth’s rotation, matched up with data he had for the times and durations of the ice ages. He showed that the incoming energy would be at a minimum when there was an ice age and at a maximum during an interglacial. &lt;/p&gt;&lt;p&gt;While his findings are important, modern records go back much further than the data to which Milankovitch had access, and further back in time the match is not so good. Earlier ice ages can be earlier and later than the predictions from the Milankovitch model. Clearly, there are other factors affecting the climate. You will see some of these other factors later in the course, but the differences are still not completely explained. &lt;/p&gt;&lt;p&gt;This story illustrates another aspect of the way that science develops. The Milankovitch model was tested against new data, and found not to be fully consistent with it. The challenge was then for scientists either to completely reject that model, or to look for other effects that could be combined with the basic model to provide a better explanation of the observations. Scientific models are always subject to revision as new data are found. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.6</guid>
    <dc:title>3.6 The Milankovitch model</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The amount of energy that the Earth receives from the Sun depends on its distance from the Sun. You tend to assume that this is constant, but in fact, the orbit of the Earth around the Sun is an ellipse – with the Sun at one of its foci (Figure 16) – so the distance from the Earth to the Sun varies over the course of an orbit (one year). If the Sun emits a constant amount of energy, then when the Earth is closer it will receive more than when it is further away. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/6f57f75a/u116r_b2p3_f3_14.eps.jpg" alt="Described image" width="512" height="372" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3456128"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 16&lt;/b&gt; The orbit of the Earth around the Sun is an ellipse, so throughout a year the Earth–Sun distance, and consequently the amount of solar energy received at the surface of the Earth, varies. Note that this picture shows the elliptical shape of the orbit greatly exaggerated. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3456128&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3456128"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;However, the shape of the ellipse also varies with time, and the Earth’s axis of rotation also wobbles, like a gyroscope. The Serbian geophysicist Milutin Milankovitch realised in 1920 that the varying energy received by the Earth as a result of these two factors could be the cause of the ice ages. &lt;/p&gt;&lt;p&gt;Milankovitch showed that the ellipse changes shape over periods of about 100 000 years. The timing of these changes, combined with the wobble in the Earth’s rotation, matched up with data he had for the times and durations of the ice ages. He showed that the incoming energy would be at a minimum when there was an ice age and at a maximum during an interglacial. &lt;/p&gt;&lt;p&gt;While his findings are important, modern records go back much further than the data to which Milankovitch had access, and further back in time the match is not so good. Earlier ice ages can be earlier and later than the predictions from the Milankovitch model. Clearly, there are other factors affecting the climate. You will see some of these other factors later in the course, but the differences are still not completely explained. &lt;/p&gt;&lt;p&gt;This story illustrates another aspect of the way that science develops. The Milankovitch model was tested against new data, and found not to be fully consistent with it. The challenge was then for scientists either to completely reject that model, or to look for other effects that could be combined with the basic model to provide a better explanation of the observations. Scientific models are always subject to revision as new data are found. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.7 The Keeling Curve</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.7</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The Keeling Curve, illustrated in Figure 17, shows the trend in rising atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentrations since 1958 recorded at Mauna Loa in Hawaii. The story of atmospheric CO&lt;sub&gt;2&lt;/sub&gt; in those past 60 years is a relentless rise derived from human use of hydrocarbons: in 2008, the annual mean concentration was 383 parts per million (ppm), and eight years later it reached 400&amp;#x2009;ppm. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:509px;" id="fig17"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3461664" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/5dcd05e9/u116r_b1p1_f01_05.eps.small.jpg" alt="Described image" style="max-width:509px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3467936"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3461664"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 17&lt;/b&gt; The Keeling curve: measurements from Mauna Loa of the monthly average carbon dioxide (CO&lt;sub&gt;2&lt;/sub&gt;) concentration in the atmosphere, seasonally adjusted (Scripps, 2016) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3467936&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3467936"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3461664"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;When Charles Keeling first collected his CO&lt;sub&gt;2&lt;/sub&gt; data, he travelled around making the measurements at widely spaced locations – but he saw that apart from the daily and seasonal variation caused by local plant photosynthesis and respiration, the concentration was virtually the same wherever he measured it. Keeling quickly realised that this meant it was possible to measure the CO&lt;sub&gt;2&lt;/sub&gt; in one location, such as Mauna Loa, and it would be a reference point for the whole planet. &lt;/p&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 7 How representative is the Keeling Curve?&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 5 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Is Keeling’s contention that the Mauna Loa data are a good reference for the whole planet consistent with what you have learned about atmospheric movements? &lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-discussion"&gt;&lt;h3 class="oucontent-h4"&gt;Discussion&lt;/h3&gt;&lt;p&gt;Recall from the discussion of the spread of pollutants by wind (and from your own experience if you live in an exposed area!) that there are constant air movements around the planet. These movements stir up the air and mix it constantly. This constant mixing means that the concentration of CO&lt;sub&gt;2&lt;/sub&gt; is likely to be similar all over the globe. This sort of questioning as to whether methods and data are plausible is another good example of scientific method. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.7</guid>
    <dc:title>3.7 The Keeling Curve</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The Keeling Curve, illustrated in Figure 17, shows the trend in rising atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentrations since 1958 recorded at Mauna Loa in Hawaii. The story of atmospheric CO&lt;sub&gt;2&lt;/sub&gt; in those past 60 years is a relentless rise derived from human use of hydrocarbons: in 2008, the annual mean concentration was 383 parts per million (ppm), and eight years later it reached 400 ppm. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:509px;" id="fig17"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3461664" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/5dcd05e9/u116r_b1p1_f01_05.eps.small.jpg" alt="Described image" style="max-width:509px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3467936"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3461664"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 17&lt;/b&gt; The Keeling curve: measurements from Mauna Loa of the monthly average carbon dioxide (CO&lt;sub&gt;2&lt;/sub&gt;) concentration in the atmosphere, seasonally adjusted (Scripps, 2016) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3467936&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3467936"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3461664"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;When Charles Keeling first collected his CO&lt;sub&gt;2&lt;/sub&gt; data, he travelled around making the measurements at widely spaced locations – but he saw that apart from the daily and seasonal variation caused by local plant photosynthesis and respiration, the concentration was virtually the same wherever he measured it. Keeling quickly realised that this meant it was possible to measure the CO&lt;sub&gt;2&lt;/sub&gt; in one location, such as Mauna Loa, and it would be a reference point for the whole planet. &lt;/p&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 7 How representative is the Keeling Curve?&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 5 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Is Keeling’s contention that the Mauna Loa data are a good reference for the whole planet consistent with what you have learned about atmospheric movements? &lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-discussion"&gt;&lt;h3 class="oucontent-h4"&gt;Discussion&lt;/h3&gt;&lt;p&gt;Recall from the discussion of the spread of pollutants by wind (and from your own experience if you live in an exposed area!) that there are constant air movements around the planet. These movements stir up the air and mix it constantly. This constant mixing means that the concentration of CO&lt;sub&gt;2&lt;/sub&gt; is likely to be similar all over the globe. This sort of questioning as to whether methods and data are plausible is another good example of scientific method. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.8 Ice cores and past CO2 levels</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.8</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;After a few years of measurement, Keeling was the first to discover that CO&lt;sub&gt;2&lt;/sub&gt; levels in the atmosphere were rising, rather than emissions being absorbed by the oceans. The problem, of course, with the Keeling CO&lt;sub&gt;2&lt;/sub&gt; data is that they extend back only to 1958. However, ice core researchers realised that the air bubbles trapped when the ice was formed would contain atmospheric gas samples. As well as giving a proxy record of past temperatures, ice cores can give the exact atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration for the last 800&amp;#x2009;000 years. &lt;/p&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 8 Direct and proxy measurements&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about  5 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;To understand how past atmospheric concentrations of greenhouse gases have changed, are measurements of gas concentrations from an air bubble in an ice core layer a direct or a proxy measurement? &lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;Measurements of the greenhouse gas concentrations in a trapped gas bubble are direct data, not proxy data, because they are measurements of the actual quantities you wish to know about. It is perhaps surprising that it is direct, because it is a measurement of something that happened in the past! This is possible only because the actual quantity (gas) has been preserved (as bubbles trapped in the ice). &lt;/p&gt;&lt;p&gt;This can be contrasted with, for example, measurements of the ratio of oxygen isotopes in the water, which are proxy data because the ultimate aim is to know the temperature of the planet. Here, only the proxy variable (isotope ratio) has been preserved (in the form of ice), not the temperature itself.&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt; It takes a certain period of time for the bubbles to be closed off and air to be isolated. As a result, it is not possible to measure the concentrations of gases until this has happened. In the case of the Dome C core, the most recent atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration available is from around 100 years ago. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.8</guid>
    <dc:title>3.8 Ice cores and past CO2 levels</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;After a few years of measurement, Keeling was the first to discover that CO&lt;sub&gt;2&lt;/sub&gt; levels in the atmosphere were rising, rather than emissions being absorbed by the oceans. The problem, of course, with the Keeling CO&lt;sub&gt;2&lt;/sub&gt; data is that they extend back only to 1958. However, ice core researchers realised that the air bubbles trapped when the ice was formed would contain atmospheric gas samples. As well as giving a proxy record of past temperatures, ice cores can give the exact atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration for the last 800 000 years. &lt;/p&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 8 Direct and proxy measurements&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about  5 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;To understand how past atmospheric concentrations of greenhouse gases have changed, are measurements of gas concentrations from an air bubble in an ice core layer a direct or a proxy measurement? &lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;Measurements of the greenhouse gas concentrations in a trapped gas bubble are direct data, not proxy data, because they are measurements of the actual quantities you wish to know about. It is perhaps surprising that it is direct, because it is a measurement of something that happened in the past! This is possible only because the actual quantity (gas) has been preserved (as bubbles trapped in the ice). &lt;/p&gt;&lt;p&gt;This can be contrasted with, for example, measurements of the ratio of oxygen isotopes in the water, which are proxy data because the ultimate aim is to know the temperature of the planet. Here, only the proxy variable (isotope ratio) has been preserved (in the form of ice), not the temperature itself.&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt; It takes a certain period of time for the bubbles to be closed off and air to be isolated. As a result, it is not possible to measure the concentrations of gases until this has happened. In the case of the Dome C core, the most recent atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration available is from around 100 years ago. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.9 Global CO2 levels and Antarctic temperatures</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.9</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Figure 18 shows that over the last nine glacial cycles, the global CO&lt;sub&gt;2&lt;/sub&gt; and Antarctic temperature appear to be positively and very closely correlated, showing the same patterns of change. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:446px;" id="fig18"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3482064" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/96f43f26/u116r_b2p3_f3_15.eps.small.jpg" alt="Described image" style="max-width:446px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php&amp;amp;extra=longdesc_idp3488352"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3482064"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 18&lt;/b&gt; Past Antarctic temperature changes (top) and global atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentrations (bottom) going back through nine ice ages, derived from the EPICA ice core (Luthi et al., 2008)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3488352&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3488352"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3482064"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 9 Temperature and CO&lt;sub&gt;2&lt;/sub&gt; values &lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;ul class="oucontent-numbered"&gt;&lt;li class="oucontent-markerdirect"&gt;&lt;span class="oucontent-listmarker"&gt;a.&lt;/span&gt;According to Figure 18, what were the typical CO&lt;sub&gt;2&lt;/sub&gt; levels during the extreme low-temperature periods (ice ages) and at the height of the warmer interglacials? &lt;/li&gt;&lt;li class="oucontent-markerdirect"&gt;&lt;span class="oucontent-listmarker"&gt;b.&lt;/span&gt;How does the value of the atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration for 2016 (see &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.7#fig17"&gt;Figure 17&lt;/a&gt;) compare with that in the interglacials of the previous nine cycles of the EPICA Dome C ice core? &lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;ul class="oucontent-numbered"&gt;&lt;li class="oucontent-markerdirect"&gt;&lt;span class="oucontent-listmarker"&gt;a.&lt;/span&gt;In an ice age, when the temperature is low, the CO&lt;sub&gt;2&lt;/sub&gt; is also low, typically 180–200 ppm. When the temperature is highest, in the interglacials, the CO&lt;sub&gt;2&lt;/sub&gt; is also high, at about 280 ppm for the most recent four interglacials and slightly lower at 260 ppm for the earliest five interglacials. &lt;/li&gt;&lt;li class="oucontent-markerdirect"&gt;&lt;span class="oucontent-listmarker"&gt;b.&lt;/span&gt;The 2015 atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration is around 400 ppm. This is about 120 ppm higher than in the most recent four interglacials, and about 140 ppm higher than the earliest five interglacials in the EPICA Dome C record. &lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;You now have data that you could possibly use to predict what might happen as a result of the increasing CO&lt;sub&gt;2&lt;/sub&gt; concentration that Keeling detected. You could theoretically plot a graph of temperature against CO&lt;sub&gt;2&lt;/sub&gt; concentration to highlight the correlation and, from this, read off the temperature for any given CO&lt;sub&gt;2&lt;/sub&gt; concentration. Unfortunately, there is a problem with this. The current atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration is higher than at any time in the previous 800&amp;#x2009;000 years, so even if you had a graph of the mathematical relationship between temperature and CO&lt;sub&gt;2&lt;/sub&gt; concentration from the earlier data, it would not include the current (and much less, any possible future increased) CO&lt;sub&gt;2&lt;/sub&gt; concentration. You would have to extrapolate (that is, extend) the graph beyond the available set of values, and you do not know enough from this data alone to be sure that the relationship will hold outside these limits. This means that it is difficult to use information from these earlier periods to predict what may happen in the future. &lt;/p&gt;&lt;p&gt;It is possible to be fairly sure that Milankovitch cycles amplified by greenhouse gases are at least partly responsible for the coming and going of ice ages; it is the best theory and one to which almost all climate scientists subscribe. But as you have seen, it is not a complete explanation, and some of the earlier cycles do not conform to this theory. To make useful predictions for the near future, and hence to suggest actions to protect the environment, you need to look for some more detailed information and more accurate scientific models. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.9</guid>
    <dc:title>3.9 Global CO2 levels and Antarctic temperatures</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Figure 18 shows that over the last nine glacial cycles, the global CO&lt;sub&gt;2&lt;/sub&gt; and Antarctic temperature appear to be positively and very closely correlated, showing the same patterns of change. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:446px;" id="fig18"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3482064" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/96f43f26/u116r_b2p3_f3_15.eps.small.jpg" alt="Described image" style="max-width:446px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php&amp;extra=longdesc_idp3488352"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3482064"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 18&lt;/b&gt; Past Antarctic temperature changes (top) and global atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentrations (bottom) going back through nine ice ages, derived from the EPICA ice core (Luthi et al., 2008)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3488352&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3488352"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3482064"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 9 Temperature and CO&lt;sub&gt;2&lt;/sub&gt; values &lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;ul class="oucontent-numbered"&gt;&lt;li class="oucontent-markerdirect"&gt;&lt;span class="oucontent-listmarker"&gt;a.&lt;/span&gt;According to Figure 18, what were the typical CO&lt;sub&gt;2&lt;/sub&gt; levels during the extreme low-temperature periods (ice ages) and at the height of the warmer interglacials? &lt;/li&gt;&lt;li class="oucontent-markerdirect"&gt;&lt;span class="oucontent-listmarker"&gt;b.&lt;/span&gt;How does the value of the atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration for 2016 (see &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.7#fig17"&gt;Figure 17&lt;/a&gt;) compare with that in the interglacials of the previous nine cycles of the EPICA Dome C ice core? &lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;ul class="oucontent-numbered"&gt;&lt;li class="oucontent-markerdirect"&gt;&lt;span class="oucontent-listmarker"&gt;a.&lt;/span&gt;In an ice age, when the temperature is low, the CO&lt;sub&gt;2&lt;/sub&gt; is also low, typically 180–200 ppm. When the temperature is highest, in the interglacials, the CO&lt;sub&gt;2&lt;/sub&gt; is also high, at about 280 ppm for the most recent four interglacials and slightly lower at 260 ppm for the earliest five interglacials. &lt;/li&gt;&lt;li class="oucontent-markerdirect"&gt;&lt;span class="oucontent-listmarker"&gt;b.&lt;/span&gt;The 2015 atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration is around 400 ppm. This is about 120 ppm higher than in the most recent four interglacials, and about 140 ppm higher than the earliest five interglacials in the EPICA Dome C record. &lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;You now have data that you could possibly use to predict what might happen as a result of the increasing CO&lt;sub&gt;2&lt;/sub&gt; concentration that Keeling detected. You could theoretically plot a graph of temperature against CO&lt;sub&gt;2&lt;/sub&gt; concentration to highlight the correlation and, from this, read off the temperature for any given CO&lt;sub&gt;2&lt;/sub&gt; concentration. Unfortunately, there is a problem with this. The current atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration is higher than at any time in the previous 800 000 years, so even if you had a graph of the mathematical relationship between temperature and CO&lt;sub&gt;2&lt;/sub&gt; concentration from the earlier data, it would not include the current (and much less, any possible future increased) CO&lt;sub&gt;2&lt;/sub&gt; concentration. You would have to extrapolate (that is, extend) the graph beyond the available set of values, and you do not know enough from this data alone to be sure that the relationship will hold outside these limits. This means that it is difficult to use information from these earlier periods to predict what may happen in the future. &lt;/p&gt;&lt;p&gt;It is possible to be fairly sure that Milankovitch cycles amplified by greenhouse gases are at least partly responsible for the coming and going of ice ages; it is the best theory and one to which almost all climate scientists subscribe. But as you have seen, it is not a complete explanation, and some of the earlier cycles do not conform to this theory. To make useful predictions for the near future, and hence to suggest actions to protect the environment, you need to look for some more detailed information and more accurate scientific models. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.9.1 Scientific method</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.9.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Much of science is concerned with gathering data, so a key part of scientific method involves scientists making observations or measurements about the world, and from these constructing theories about the causes of the observed phenomena. Using these theories or models, the scientist is then able to make predictions as to what might occur in a new but related situation to the ones previously observed. The scientist should then set up or seek such a situation, and test whether the observed behaviour does indeed occur. If it does, then the theory is supported. But if the observations do not accord with the theory, then the theory is either inadequate or possibly completely wrong. So a key part of scientific method is making testable predictions from the data. &lt;/p&gt;&lt;p&gt;The philosopher of science Karl Popper (1902–94) was a major advocate of this approach, and brought in the concept of &amp;#x2018;falsifiability’. In essence, this suggested that a scientific theory would be useful only if it were possible to devise an experiment to test it, whose outcome could be in accord or not with the expectations. The results of such experiments may lead to the theory being rejected, revised, or accepted as possibly true until proved otherwise. Ideally, scientists should strive their hardest to disprove a theory rather than selectively only looking for the evidence that supports it! &lt;/p&gt;&lt;p&gt;The story of Nansen’s expedition in the drifting ice is a spectacular example of scientific method. From the observation that trees from Siberia turned up in Svalbard, he predicted that a ship trapped in the ice would follow the same path. He then proceeded to test this theory in a very practical, but dangerous, way. &lt;/p&gt;&lt;p&gt;The continual attempt to test, and potentially &amp;#x2018;falsify’ (prove to be false), theories is regarded as the essential feature of scientific method that distinguishes it from other approaches. An artist or a journalist may want to present their interpretation of a situation, but this interpretation is often only descriptive, not predictive. Some religions and similar codes make predictions and suggestions about what could or will happen, but these are rarely testable in a way that would be considered scientific. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.9.1</guid>
    <dc:title>3.9.1 Scientific method</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Much of science is concerned with gathering data, so a key part of scientific method involves scientists making observations or measurements about the world, and from these constructing theories about the causes of the observed phenomena. Using these theories or models, the scientist is then able to make predictions as to what might occur in a new but related situation to the ones previously observed. The scientist should then set up or seek such a situation, and test whether the observed behaviour does indeed occur. If it does, then the theory is supported. But if the observations do not accord with the theory, then the theory is either inadequate or possibly completely wrong. So a key part of scientific method is making testable predictions from the data. &lt;/p&gt;&lt;p&gt;The philosopher of science Karl Popper (1902–94) was a major advocate of this approach, and brought in the concept of ‘falsifiability’. In essence, this suggested that a scientific theory would be useful only if it were possible to devise an experiment to test it, whose outcome could be in accord or not with the expectations. The results of such experiments may lead to the theory being rejected, revised, or accepted as possibly true until proved otherwise. Ideally, scientists should strive their hardest to disprove a theory rather than selectively only looking for the evidence that supports it! &lt;/p&gt;&lt;p&gt;The story of Nansen’s expedition in the drifting ice is a spectacular example of scientific method. From the observation that trees from Siberia turned up in Svalbard, he predicted that a ship trapped in the ice would follow the same path. He then proceeded to test this theory in a very practical, but dangerous, way. &lt;/p&gt;&lt;p&gt;The continual attempt to test, and potentially ‘falsify’ (prove to be false), theories is regarded as the essential feature of scientific method that distinguishes it from other approaches. An artist or a journalist may want to present their interpretation of a situation, but this interpretation is often only descriptive, not predictive. Some religions and similar codes make predictions and suggestions about what could or will happen, but these are rarely testable in a way that would be considered scientific. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>3.10 Summary of Section 3</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.10</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The ice cores in Greenland and Antarctica currently provide a direct record of the snowfall going back around 800&amp;#x2009;000 years. As snow falls, impurities such as lead are trapped in the ice, so ice cores can give direct measurements of past atmospheric concentrations. By using isotope proxies such as oxygen-16 and oxygen-18, ice cores can be used to estimate temperature changes. &lt;/p&gt;&lt;p&gt;Over the time period of the ice cores, the Earth has gone through nine cyclical temperature variations, with a cold period (ice age) approximately every 100&amp;#x2009;000 years. Trapped gases within the ice cores allow a direct measurement of atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration, and throughout the entire Dome C record you can see that temperature and CO&lt;sub&gt;2&lt;/sub&gt; are positively correlated.&lt;/p&gt;&lt;p&gt; Milankovitch cycles caused by variations in the Earth’s orbit, amplified by greenhouse gases, are the best current theory for the cause of ice ages, but these do not provide a sufficiently accurate model to predict the near future course of atmospheric change. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.10</guid>
    <dc:title>3.10 Summary of Section 3</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The ice cores in Greenland and Antarctica currently provide a direct record of the snowfall going back around 800 000 years. As snow falls, impurities such as lead are trapped in the ice, so ice cores can give direct measurements of past atmospheric concentrations. By using isotope proxies such as oxygen-16 and oxygen-18, ice cores can be used to estimate temperature changes. &lt;/p&gt;&lt;p&gt;Over the time period of the ice cores, the Earth has gone through nine cyclical temperature variations, with a cold period (ice age) approximately every 100 000 years. Trapped gases within the ice cores allow a direct measurement of atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration, and throughout the entire Dome C record you can see that temperature and CO&lt;sub&gt;2&lt;/sub&gt; are positively correlated.&lt;/p&gt;&lt;p&gt; Milankovitch cycles caused by variations in the Earth’s orbit, amplified by greenhouse gases, are the best current theory for the cause of ice ages, but these do not provide a sufficiently accurate model to predict the near future course of atmospheric change. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>4 The end of the last ice age: the Holocene</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;As noted earlier, the great ice sheets took about 100&amp;#x2009;000 years to grow and only about 10&amp;#x2009;000 years to decay. So what happened at the end of the last ice age? Figure 19 shows the EPICA ice core CO&lt;sub&gt;2&lt;/sub&gt; concentration and Antarctic air temperature for the most recent 20&amp;#x2009;000 years, which is within the last ice age. The temperature scale shows the difference from the average temperature of the last 1000 years, so 0&amp;#x2009;&amp;#xB0;C represents no change from (fairly) recent climate. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:509px;" id="fig19"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3512816" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/b847c0ef/u116r_b2p3_f3_16.eps.small.jpg" alt="Described image" style="max-width:509px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3519520"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3512816"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 19&lt;/b&gt; The global atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration (relatively smooth line) and Antarctic air temperature change (spiky line) from the EPICA ice core over the last 20&amp;#x2009;000 years up to 1813 (CO&lt;sub&gt;2&lt;/sub&gt;) and 1911 (temperature)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3519520&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3519520"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3512816"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Figure 19 shows again the high correlation between the two variables: 20&amp;#x2009;000 years ago it was up to 10&amp;#x2009;&amp;#xB0;C colder in Antarctica, and global CO&lt;sub&gt;2&lt;/sub&gt; concentration was more than 200 ppm lower than today. Over the most recent 10&amp;#x2009;000 years the temperature was within about 2&amp;#x2009;&amp;#xB0;C of current temperatures, and this climatically stable time period is called the Holocene. &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.9#fig18"&gt;Figure 18&lt;/a&gt; shows that such a warm, stable period has been very unusual in the last 800&amp;#x2009;000 years, yet it is only during the Holocene that agriculture and the civilisations that rely on it have developed. &lt;i&gt;Homo sapiens&lt;/i&gt; has flourished in the stable climate era. &lt;/p&gt;&lt;p&gt;Figure 19 shows that up to approximately 14&amp;#x2009;000 years ago the planet appeared to be leaving the ice age, and Antarctic temperatures rose to within 1&amp;#x2009;&amp;#xB0;C of the 0&amp;#x2009;&amp;#xB0;C line. But then there was a very rapid cooling of 4–5&amp;#x2009;&amp;#xB0;C (and most of this in just a couple of decades), and lower temperatures resumed from 12&amp;#x2009;900 to 11&amp;#x2009;600 years before the present. This cold period affected most of the planet and is called the Younger Dryas, after a pretty Arctic alpine flowering plant called the white dryas (Figure 20). This species spread its geographical range as temperatures fell and the tundra biome expanded in area. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:500px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/558eabf9/u116r_b2p3_f3_17.tif.jpg" alt="Described image" width="500" height="334" style="max-width:500px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3534544"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 20&lt;/b&gt; The white dryas. The Latin name of this flower is Dryas octopetala, meaning &amp;#x2018;dryas flower with eight petals’ – although it can have up to 16 petals. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3534544&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3534544"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Another interesting event shown in Figure 19 happened just before 8000 years ago (called the &amp;#x2018;8.2&amp;#x2009;ka event’ where &amp;#x2018;ka’ is an abbreviation meaning 1000 years), when there was a definite but relatively small temperature and CO&lt;sub&gt;2&lt;/sub&gt; decrease which was associated with drier conditions in some parts of the world. This represents the largest climatic variation that civilisation has currently had to cope with. &lt;/p&gt;&lt;p&gt;So what happened in the Younger Dryas and 8000 years ago to make the planet suddenly colder? The changes occurred too fast for the Milankovitch cycle to be responsible. It is now believed that the only way to cause that much cooling is by a sudden change in part of the global ocean circulation. Just as there are global patterns of air circulation, so there are also much slower, but enormous, movements of water around the oceans, driven by changes in water temperature and salinity, which you will look at next. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4</guid>
    <dc:title>4 The end of the last ice age: the Holocene</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;As noted earlier, the great ice sheets took about 100 000 years to grow and only about 10 000 years to decay. So what happened at the end of the last ice age? Figure 19 shows the EPICA ice core CO&lt;sub&gt;2&lt;/sub&gt; concentration and Antarctic air temperature for the most recent 20 000 years, which is within the last ice age. The temperature scale shows the difference from the average temperature of the last 1000 years, so 0 °C represents no change from (fairly) recent climate. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:509px;" id="fig19"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3512816" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/b847c0ef/u116r_b2p3_f3_16.eps.small.jpg" alt="Described image" style="max-width:509px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3519520"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3512816"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 19&lt;/b&gt; The global atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration (relatively smooth line) and Antarctic air temperature change (spiky line) from the EPICA ice core over the last 20 000 years up to 1813 (CO&lt;sub&gt;2&lt;/sub&gt;) and 1911 (temperature)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3519520&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3519520"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3512816"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Figure 19 shows again the high correlation between the two variables: 20 000 years ago it was up to 10 °C colder in Antarctica, and global CO&lt;sub&gt;2&lt;/sub&gt; concentration was more than 200 ppm lower than today. Over the most recent 10 000 years the temperature was within about 2 °C of current temperatures, and this climatically stable time period is called the Holocene. &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-3.9#fig18"&gt;Figure 18&lt;/a&gt; shows that such a warm, stable period has been very unusual in the last 800 000 years, yet it is only during the Holocene that agriculture and the civilisations that rely on it have developed. &lt;i&gt;Homo sapiens&lt;/i&gt; has flourished in the stable climate era. &lt;/p&gt;&lt;p&gt;Figure 19 shows that up to approximately 14 000 years ago the planet appeared to be leaving the ice age, and Antarctic temperatures rose to within 1 °C of the 0 °C line. But then there was a very rapid cooling of 4–5 °C (and most of this in just a couple of decades), and lower temperatures resumed from 12 900 to 11 600 years before the present. This cold period affected most of the planet and is called the Younger Dryas, after a pretty Arctic alpine flowering plant called the white dryas (Figure 20). This species spread its geographical range as temperatures fell and the tundra biome expanded in area. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:500px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/558eabf9/u116r_b2p3_f3_17.tif.jpg" alt="Described image" width="500" height="334" style="max-width:500px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3534544"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 20&lt;/b&gt; The white dryas. The Latin name of this flower is Dryas octopetala, meaning ‘dryas flower with eight petals’ – although it can have up to 16 petals. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3534544&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3534544"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Another interesting event shown in Figure 19 happened just before 8000 years ago (called the ‘8.2 ka event’ where ‘ka’ is an abbreviation meaning 1000 years), when there was a definite but relatively small temperature and CO&lt;sub&gt;2&lt;/sub&gt; decrease which was associated with drier conditions in some parts of the world. This represents the largest climatic variation that civilisation has currently had to cope with. &lt;/p&gt;&lt;p&gt;So what happened in the Younger Dryas and 8000 years ago to make the planet suddenly colder? The changes occurred too fast for the Milankovitch cycle to be responsible. It is now believed that the only way to cause that much cooling is by a sudden change in part of the global ocean circulation. Just as there are global patterns of air circulation, so there are also much slower, but enormous, movements of water around the oceans, driven by changes in water temperature and salinity, which you will look at next. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>4.1 Wally Broecker&amp;#x2019;s great ocean conveyor belt</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The density of fresh water decreases as its temperature rises above 4&amp;#x2009;&amp;#xB0;C. The density of salt water in the oceans likewise depends on temperature, but also on the amount of salt within it; saltier water is more dense. &lt;/p&gt;&lt;p&gt;In the seas of the North Atlantic Ocean the surface waters are cooler and therefore denser than the lower layers. In places like the central Pacific Ocean the relatively dry, warm air increases evaporation and the surface waters are both warm and salty. All around the planet different regional climatic conditions create surface waters with different densities. &lt;/p&gt;&lt;p&gt;Because denser waters sink, over time horizontal currents are set up similar to the processes for the winds. The result is a vast, three-dimensional circulation across the entire ocean. In the 1980s, the American climate scientist Wallace Broecker suggested that the global ocean circulation could be viewed as analogous to a conveyor belt that moved heat and salt around the planet. Broecker’s schematic picture (Figure 21) has become one of the iconic images of climate science. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/e26c1b07/u116r_b2p3_f3_18.eps.png" alt="Described image" width="512" height="332" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3543424"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 21&lt;/b&gt; A schematic of the great ocean conveyor that moves both heat and salt around the planet &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3543424&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3543424"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;It is a huge simplification, but on a global scale Broecker’s conveyor belt is excellent at helping to understand planetary processes such as the Younger Dryas and the 8.2&amp;#x2009;ka event. &lt;/p&gt;&lt;p&gt;Heat that is carried in the ocean conveyor past Britain and up the coast of Norway towards Svalbard keeps the UK climate warmer and moister than it would otherwise be and means that the ice edge is a long way north compared with similar latitudes in North America, all year round (Figure 22). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;" id="fig22"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3545728" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/b315741f/u116r_b2p3_f3_19.tif.small.jpg" alt="Described image" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3551472"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3545728"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 22&lt;/b&gt; Average Arctic sea ice concentration at the seasonal (a) maximum and (b) minimum from 1981 to 2010&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3551472&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3551472"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3545728"&gt;&lt;/a&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.1</guid>
    <dc:title>4.1 Wally Broecker’s great ocean conveyor belt</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The density of fresh water decreases as its temperature rises above 4 °C. The density of salt water in the oceans likewise depends on temperature, but also on the amount of salt within it; saltier water is more dense. &lt;/p&gt;&lt;p&gt;In the seas of the North Atlantic Ocean the surface waters are cooler and therefore denser than the lower layers. In places like the central Pacific Ocean the relatively dry, warm air increases evaporation and the surface waters are both warm and salty. All around the planet different regional climatic conditions create surface waters with different densities. &lt;/p&gt;&lt;p&gt;Because denser waters sink, over time horizontal currents are set up similar to the processes for the winds. The result is a vast, three-dimensional circulation across the entire ocean. In the 1980s, the American climate scientist Wallace Broecker suggested that the global ocean circulation could be viewed as analogous to a conveyor belt that moved heat and salt around the planet. Broecker’s schematic picture (Figure 21) has become one of the iconic images of climate science. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/e26c1b07/u116r_b2p3_f3_18.eps.png" alt="Described image" width="512" height="332" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3543424"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 21&lt;/b&gt; A schematic of the great ocean conveyor that moves both heat and salt around the planet &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3543424&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3543424"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;It is a huge simplification, but on a global scale Broecker’s conveyor belt is excellent at helping to understand planetary processes such as the Younger Dryas and the 8.2 ka event. &lt;/p&gt;&lt;p&gt;Heat that is carried in the ocean conveyor past Britain and up the coast of Norway towards Svalbard keeps the UK climate warmer and moister than it would otherwise be and means that the ice edge is a long way north compared with similar latitudes in North America, all year round (Figure 22). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;" id="fig22"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3545728" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/b315741f/u116r_b2p3_f3_19.tif.small.jpg" alt="Described image" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3551472"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3545728"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 22&lt;/b&gt; Average Arctic sea ice concentration at the seasonal (a) maximum and (b) minimum from 1981 to 2010&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3551472&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3551472"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3545728"&gt;&lt;/a&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>4.2 Stopping the ocean conveyor belt</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.2</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;One way to cool the planet, as occurred in the Younger Dryas or the 8.2&amp;#x2009;ka event, is to stop the ocean conveyor carrying the heat northwards. It is believed that this indeed happened as a result of large quantities of melt water from the North American continental ice sheets flooding into the North Atlantic and changing the surface density of the ocean. Once the conveyor was stopped, the climate was plunged into a cold period. &lt;/p&gt;&lt;p&gt;Although similar events seem to have occurred further back in time, the Younger Dryas and the 8.2&amp;#x2009;ka events may have been particularly significant for human civilisation. The earliest dated farming settlements are in the Mediterranean about 13&amp;#x2009;000&amp;#xA0;years ago – around the time of the Younger Dryas. It is interesting to compare the spread of these settlements across the Middle East and Europe (Figure 23) with the temperature data of &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4#fig19"&gt;Figure 19&lt;/a&gt;. &lt;/p&gt;&lt;p&gt;During the first 5000 years of human agriculture, from 13&amp;#x2009;ka BP to 8.4&amp;#x2009;ka BP, farming settlements are concentrated on the shores of the Mediterranean and Black Sea. However, after the 8.2&amp;#x2009;ka event and the collapse of the North American ice sheets, the flooding of fresh water into the Atlantic that stopped the conveyor also caused a rapid sea-level rise of around 1.4&amp;#xA0;m and large-scale flooding. After this date, the settlements rapidly spread northwards. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:472px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3556432" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/f6879036/u116r_b2p3_f3_20.eps.small.jpg" alt="Described image" style="max-width:472px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3562128"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3556432"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 23&lt;/b&gt; Locations and dates of sites of Neolithic farming settlements across the Middle East and Europe. The coloured dots indicate new sites that were established during each time period; grey dots represent pre-existing sites established during earlier time periods. The final panel shows the full time period (13–5.5&amp;#x2009;ka BP). (Turney and Brown, 2007)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3562128&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3562128"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3556432"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The exact driving factor for this human migration is impossible to determine, but it is interesting that it seemed to begin after the 8.2&amp;#x2009;ka climate event. This is an example of the kind of climate change that society will have to cope with. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.2</guid>
    <dc:title>4.2 Stopping the ocean conveyor belt</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;One way to cool the planet, as occurred in the Younger Dryas or the 8.2 ka event, is to stop the ocean conveyor carrying the heat northwards. It is believed that this indeed happened as a result of large quantities of melt water from the North American continental ice sheets flooding into the North Atlantic and changing the surface density of the ocean. Once the conveyor was stopped, the climate was plunged into a cold period. &lt;/p&gt;&lt;p&gt;Although similar events seem to have occurred further back in time, the Younger Dryas and the 8.2 ka events may have been particularly significant for human civilisation. The earliest dated farming settlements are in the Mediterranean about 13 000 years ago – around the time of the Younger Dryas. It is interesting to compare the spread of these settlements across the Middle East and Europe (Figure 23) with the temperature data of &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4#fig19"&gt;Figure 19&lt;/a&gt;. &lt;/p&gt;&lt;p&gt;During the first 5000 years of human agriculture, from 13 ka BP to 8.4 ka BP, farming settlements are concentrated on the shores of the Mediterranean and Black Sea. However, after the 8.2 ka event and the collapse of the North American ice sheets, the flooding of fresh water into the Atlantic that stopped the conveyor also caused a rapid sea-level rise of around 1.4 m and large-scale flooding. After this date, the settlements rapidly spread northwards. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:472px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3556432" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/f6879036/u116r_b2p3_f3_20.eps.small.jpg" alt="Described image" style="max-width:472px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3562128"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3556432"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 23&lt;/b&gt; Locations and dates of sites of Neolithic farming settlements across the Middle East and Europe. The coloured dots indicate new sites that were established during each time period; grey dots represent pre-existing sites established during earlier time periods. The final panel shows the full time period (13–5.5 ka BP). (Turney and Brown, 2007)&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3562128&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3562128"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3556432"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;The exact driving factor for this human migration is impossible to determine, but it is interesting that it seemed to begin after the 8.2 ka climate event. This is an example of the kind of climate change that society will have to cope with. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>4.3 Carbon dioxide (CO2), methane (CH4) and human activity</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.3</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;In recent decades, the understanding of the reality of climate change has moved from one of slow and gradual change over deep time to clear evidence that there have been naturally-occurring climate changes of several degrees Celsius and sea-level rises of half a metre within timescales of a decade or so (IPCC, 2013). In fact, research by Steffensen et al. (2008) on the Younger Dryas using ice core data revealed that central Greenland cooled by a staggering 2–4&amp;#x2009;&amp;#xB0;C in just 1–3 years, around ten times faster than the highest reconstructed rates of warming over the past two centuries (Box et al., 2009). &lt;/p&gt;&lt;p&gt;While the Younger Dryas and the 8.2&amp;#x2009;ka event were entirely natural, there is an additional human contribution to consider. But when exactly did the human contribution begin? Often the phrase &amp;#x2018;pre-industrial levels’ is used to mean &amp;#x2018;before significant anthropogenic changes started’, but it is not specific. Could humans have influenced the climate before the Industrial Revolution of the 18th century? &lt;/p&gt;&lt;p&gt;Another very significant greenhouse gas is methane (CH&lt;sub&gt;4&lt;/sub&gt;), and 1 cubic metre of methane in the atmosphere can be over 25 times more effective at trapping heat than the same amount of CO&lt;sub&gt;2&lt;/sub&gt;. Past atmospheric methane concentrations can also be directly measured from ice cores. &lt;/p&gt;&lt;p&gt;Over the last quarter of a million years, CH&lt;sub&gt;4&lt;/sub&gt; concentration and the variation of solar radiation reaching the Earth attributed to the Milankovitch cycle are positively correlated (Figure 24(a)). But this correlation dramatically breaks down in the most recent data of the Holocene. &lt;/p&gt;&lt;p&gt;The latest 5000 years of methane data show that the atmospheric concentration has risen dramatically out of synchrony with the solar radiation (Figure 24(b)). Three metres down in the EPICA ice core, dating to the 1820s, methane concentrations are as high as any period in the entire ice core record – approaching 800 ppb (parts per billion). Carbon dioxide has a similar break from the expected downward trend, although starting earlier, at about 8000 years ago. &lt;/p&gt;&lt;p&gt;If the &amp;#x2018;normal’ trend of methane and carbon dioxide was downwards, along with the Milankovitch cycle, then where have the extra gases come from? &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3571344" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/ebb62c7e/5205849d/u116r_b2p3_f3_21.eps.small.jpg" alt="Described image" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3576528"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3571344"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 24&lt;/b&gt; (a) The atmospheric concentration of methane, and changes in solar radiation reaching the Earth’s surface due to the Milankovitch cycles; (b) observed and expected atmospheric methane levels over the last 11&amp;#x2009;000 years up to 1937 &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3576528&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3576528"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3571344"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Carbon dioxide and methane are by-products of civilisation. You often think of these by-products as beginning with the Industrial Revolution, but their story begins far earlier. In 2003, climate scientist William Ruddiman proposed that society had been altering the levels of these gases – and therefore influencing global climate – for many thousands of years. In his own words: &lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;Human activities tied to farming – primarily agricultural deforestation and crop irrigation – must have added the extra CO&lt;sub&gt;2&lt;/sub&gt; and methane to the atmosphere. &lt;/p&gt;&lt;/blockquote&gt;&lt;div class="oucontent-source-reference"&gt;(Ruddiman, 2005, p. 48)&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Ruddiman suggests that these activities could have increased atmospheric concentrations by up to around 40 ppm for CO&lt;sub&gt;2&lt;/sub&gt; and 300 ppb for methane, increasing the expected natural levels by around 15% and 70% respectively (Ruddiman et al., 2016). &lt;/p&gt;&lt;p&gt;The amounts of CO&lt;sub&gt;2&lt;/sub&gt; and methane added to the atmosphere – and therefore the degree to which human activities changed the climate – during the agricultural era are still being debated, but now, of course, the human effect on these gases is clear. &lt;/p&gt;&lt;p&gt;As with CO&lt;sub&gt;2&lt;/sub&gt;, since the Industrial Revolution the atmospheric concentration of methane has rapidly increased and currently is over 1800 ppb. Virtually all of that rise has been from anthropogenic sources, including major food production activities such as growing rice and cattle. Not only were humans possibly affected by climate change during the Holocene, but the impact by humans on the planet had already been started thousands of years before the Egyptian Pyramids were built. How then are these changes being seen today? &lt;/p&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 10 Recent climates&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;How does the Earth’s climate over the last 10&amp;#x2009;000 years compare with that of previous times, and what does this mean for humans in the future? &lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;Over the last 10&amp;#x2009;000 years, the Earth’s climate appears to have remained in a warm, stable state for longer than was normal in the preceding climate cycles. This has probably been important for humans in that they have been able to develop agriculture and other aspects of civilisation without the major disruption that would be caused by the major rapid cooling associated with ice ages. This means that when the Earth becomes warmer in future, humans may be less well adapted to the climate.&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.3</guid>
    <dc:title>4.3 Carbon dioxide (CO2), methane (CH4) and human activity</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;In recent decades, the understanding of the reality of climate change has moved from one of slow and gradual change over deep time to clear evidence that there have been naturally-occurring climate changes of several degrees Celsius and sea-level rises of half a metre within timescales of a decade or so (IPCC, 2013). In fact, research by Steffensen et al. (2008) on the Younger Dryas using ice core data revealed that central Greenland cooled by a staggering 2–4 °C in just 1–3 years, around ten times faster than the highest reconstructed rates of warming over the past two centuries (Box et al., 2009). &lt;/p&gt;&lt;p&gt;While the Younger Dryas and the 8.2 ka event were entirely natural, there is an additional human contribution to consider. But when exactly did the human contribution begin? Often the phrase ‘pre-industrial levels’ is used to mean ‘before significant anthropogenic changes started’, but it is not specific. Could humans have influenced the climate before the Industrial Revolution of the 18th century? &lt;/p&gt;&lt;p&gt;Another very significant greenhouse gas is methane (CH&lt;sub&gt;4&lt;/sub&gt;), and 1 cubic metre of methane in the atmosphere can be over 25 times more effective at trapping heat than the same amount of CO&lt;sub&gt;2&lt;/sub&gt;. Past atmospheric methane concentrations can also be directly measured from ice cores. &lt;/p&gt;&lt;p&gt;Over the last quarter of a million years, CH&lt;sub&gt;4&lt;/sub&gt; concentration and the variation of solar radiation reaching the Earth attributed to the Milankovitch cycle are positively correlated (Figure 24(a)). But this correlation dramatically breaks down in the most recent data of the Holocene. &lt;/p&gt;&lt;p&gt;The latest 5000 years of methane data show that the atmospheric concentration has risen dramatically out of synchrony with the solar radiation (Figure 24(b)). Three metres down in the EPICA ice core, dating to the 1820s, methane concentrations are as high as any period in the entire ice core record – approaching 800 ppb (parts per billion). Carbon dioxide has a similar break from the expected downward trend, although starting earlier, at about 8000 years ago. &lt;/p&gt;&lt;p&gt;If the ‘normal’ trend of methane and carbon dioxide was downwards, along with the Milankovitch cycle, then where have the extra gases come from? &lt;/p&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3571344" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/ebb62c7e/5205849d/u116r_b2p3_f3_21.eps.small.jpg" alt="Described image" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3576528"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3571344"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 24&lt;/b&gt; (a) The atmospheric concentration of methane, and changes in solar radiation reaching the Earth’s surface due to the Milankovitch cycles; (b) observed and expected atmospheric methane levels over the last 11 000 years up to 1937 &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3576528&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3576528"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3571344"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Carbon dioxide and methane are by-products of civilisation. You often think of these by-products as beginning with the Industrial Revolution, but their story begins far earlier. In 2003, climate scientist William Ruddiman proposed that society had been altering the levels of these gases – and therefore influencing global climate – for many thousands of years. In his own words: &lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;Human activities tied to farming – primarily agricultural deforestation and crop irrigation – must have added the extra CO&lt;sub&gt;2&lt;/sub&gt; and methane to the atmosphere. &lt;/p&gt;&lt;/blockquote&gt;&lt;div class="oucontent-source-reference"&gt;(Ruddiman, 2005, p. 48)&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Ruddiman suggests that these activities could have increased atmospheric concentrations by up to around 40 ppm for CO&lt;sub&gt;2&lt;/sub&gt; and 300 ppb for methane, increasing the expected natural levels by around 15% and 70% respectively (Ruddiman et al., 2016). &lt;/p&gt;&lt;p&gt;The amounts of CO&lt;sub&gt;2&lt;/sub&gt; and methane added to the atmosphere – and therefore the degree to which human activities changed the climate – during the agricultural era are still being debated, but now, of course, the human effect on these gases is clear. &lt;/p&gt;&lt;p&gt;As with CO&lt;sub&gt;2&lt;/sub&gt;, since the Industrial Revolution the atmospheric concentration of methane has rapidly increased and currently is over 1800 ppb. Virtually all of that rise has been from anthropogenic sources, including major food production activities such as growing rice and cattle. Not only were humans possibly affected by climate change during the Holocene, but the impact by humans on the planet had already been started thousands of years before the Egyptian Pyramids were built. How then are these changes being seen today? &lt;/p&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 10 Recent climates&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;How does the Earth’s climate over the last 10 000 years compare with that of previous times, and what does this mean for humans in the future? &lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;Over the last 10 000 years, the Earth’s climate appears to have remained in a warm, stable state for longer than was normal in the preceding climate cycles. This has probably been important for humans in that they have been able to develop agriculture and other aspects of civilisation without the major disruption that would be caused by the major rapid cooling associated with ice ages. This means that when the Earth becomes warmer in future, humans may be less well adapted to the climate.&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>4.4 Summary of Section 4</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.4</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Since the end of the last ice age, the climate has been uncharacteristically stable compared with the previous 800&amp;#x2009;000 years of the ice core record. This stable period is called the Holocene. The change from ice age to interglacial was not smooth, and there were two rapid cooling periods: the Younger Dryas and the 8.2&amp;#x2009;ka event. These are the most significant climate changes that humans have had to endure, and both have been linked to changes in the global ocean circulation. The 8.2&amp;#x2009;ka event coincided with the start of the spread of human settlement throughout Europe. By 5000 years ago there appears to be evidence of human influence on the composition of the atmosphere. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.4</guid>
    <dc:title>4.4 Summary of Section 4</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Since the end of the last ice age, the climate has been uncharacteristically stable compared with the previous 800 000 years of the ice core record. This stable period is called the Holocene. The change from ice age to interglacial was not smooth, and there were two rapid cooling periods: the Younger Dryas and the 8.2 ka event. These are the most significant climate changes that humans have had to endure, and both have been linked to changes in the global ocean circulation. The 8.2 ka event coincided with the start of the spread of human settlement throughout Europe. By 5000 years ago there appears to be evidence of human influence on the composition of the atmosphere. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5 The contemporary Arctic climate</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;There is a remarkable seasonality in the Arctic climate. For example, the flow in some of the great rivers of Russia and North America that empty into the Arctic Ocean almost stops in winter (Figure 25). During May, ice in the rivers starts to break, and in June there is a rapid flood of fresh water followed by a fall in flow until November, when it freezes. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:475px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3589632" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/9f22dc40/u116r_b2p3_f3_22.eps.small.jpg" alt="Described image" style="max-width:475px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3595120"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3589632"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 25&lt;/b&gt; The monthly discharge on the Lena River (Russia). Each individual bar in the graph represents a monthly value for each year during 1935–99. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3595120&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3595120"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3589632"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;A similar huge seasonal signal is seen in the Arctic sea ice cover (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.1#fig22"&gt;Figure 22&lt;/a&gt;). Most people are surprised to realise that the sea ice of the frozen Arctic Ocean is only a few metres thick. Beneath this are a few kilometres of water. In winter as much as 16&amp;#xA0;million square kilometres of the ocean freezes, and as this melts in summer, only about 6 million square kilometres remains frozen. The seasonal variation of almost 10 million square kilometres is equivalent to about 45 times the area of the United Kingdom. &lt;/p&gt;&lt;p&gt;The contemporary Arctic climate appears to be changing. However, average global temperatures mask regional variations and the Arctic has been warming faster than the global mean (Figure 26). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:354px;" id="fig26"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3598832" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/ca582c37/u116r_b2p3_f3_23.eps.small.jpg" alt="Described image" style="max-width:354px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3604656"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3598832"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 26 &lt;/b&gt;The annual average near surface temperature from all weather stations on land relative to the average for 1961–90 for all regions from 60&amp;#xB0;&amp;#x2009;N to 90&amp;#xB0;&amp;#x2009;N (AMAP, 2012) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3604656&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3604656"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3598832"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 11 Recent climate change in the Arctic&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Describe the changes in Arctic temperature that are shown in Figure 26.&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-discussion"&gt;&lt;h3 class="oucontent-h4"&gt;Discussion&lt;/h3&gt;&lt;p&gt;With the exception of a period in the 1960s and 1970s, the Arctic land temperature has been above the 1961–90 average in most years since 1920 and reached 2&amp;#x2009;&amp;#xB0;C above the 1961–90 average in the early part of the 21st century. These data came from the Arctic Monitoring and Assessment Programme. They appear to use the latitude of 60&amp;#xB0; N as their definition of the Arctic, so Figure 26 must include meteorological stations that are not in the Arctic as it has been defined in the course, which are less likely to be affected directly by changing ice and snow cover. For this reason, Figure 26 most likely underestimates the land temperature increase. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Next you will look at the impact of land temperature increases.&lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5</guid>
    <dc:title>5 The contemporary Arctic climate</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;There is a remarkable seasonality in the Arctic climate. For example, the flow in some of the great rivers of Russia and North America that empty into the Arctic Ocean almost stops in winter (Figure 25). During May, ice in the rivers starts to break, and in June there is a rapid flood of fresh water followed by a fall in flow until November, when it freezes. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:475px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3589632" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/9f22dc40/u116r_b2p3_f3_22.eps.small.jpg" alt="Described image" style="max-width:475px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3595120"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3589632"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 25&lt;/b&gt; The monthly discharge on the Lena River (Russia). Each individual bar in the graph represents a monthly value for each year during 1935–99. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3595120&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3595120"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3589632"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;A similar huge seasonal signal is seen in the Arctic sea ice cover (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-4.1#fig22"&gt;Figure 22&lt;/a&gt;). Most people are surprised to realise that the sea ice of the frozen Arctic Ocean is only a few metres thick. Beneath this are a few kilometres of water. In winter as much as 16 million square kilometres of the ocean freezes, and as this melts in summer, only about 6 million square kilometres remains frozen. The seasonal variation of almost 10 million square kilometres is equivalent to about 45 times the area of the United Kingdom. &lt;/p&gt;&lt;p&gt;The contemporary Arctic climate appears to be changing. However, average global temperatures mask regional variations and the Arctic has been warming faster than the global mean (Figure 26). &lt;/p&gt;&lt;div class="oucontent-figure" style="width:354px;" id="fig26"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3598832" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/ca582c37/u116r_b2p3_f3_23.eps.small.jpg" alt="Described image" style="max-width:354px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3604656"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3598832"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 26 &lt;/b&gt;The annual average near surface temperature from all weather stations on land relative to the average for 1961–90 for all regions from 60° N to 90° N (AMAP, 2012) &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3604656&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3604656"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3598832"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 11 Recent climate change in the Arctic&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Describe the changes in Arctic temperature that are shown in Figure 26.&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-discussion"&gt;&lt;h3 class="oucontent-h4"&gt;Discussion&lt;/h3&gt;&lt;p&gt;With the exception of a period in the 1960s and 1970s, the Arctic land temperature has been above the 1961–90 average in most years since 1920 and reached 2 °C above the 1961–90 average in the early part of the 21st century. These data came from the Arctic Monitoring and Assessment Programme. They appear to use the latitude of 60° N as their definition of the Arctic, so Figure 26 must include meteorological stations that are not in the Arctic as it has been defined in the course, which are less likely to be affected directly by changing ice and snow cover. For this reason, Figure 26 most likely underestimates the land temperature increase. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;Next you will look at the impact of land temperature increases.&lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5.1 Melting ice caps and sea ice extent</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Figure 27 compares the surface melting on the Greenland ice cap in 1992 and 2005 as measured by satellite. For ice to form, the snow has to survive the following summer. But an increasing area of the Greenland ice cap is melting in summer, so annual snow layers are not being converted to ice in these regions. &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3609600" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/51672c7d/u116r_b2p3_f3_24.eps.small.jpg" alt="Described image" style="max-width:338px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3615024"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3609600"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 27&lt;/b&gt; A comparison of the surface melt of the Greenland ice cap in 1992 and 2005 &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3615024&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3615024"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3609600"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;It is an extremely complex process to estimate the melt of the whole ice cap, and the current best value is that Greenland was losing around 160–270 billion tonnes of ice per year in the first decade of the 21st century. All of this melt is contributing to the predicted sea-level rise of around half a metre to a metre by 2100; a rise of a metre could affect around 150 million people worldwide (Anthoff et al., 2006). &lt;/p&gt;&lt;p&gt;These impacts are primarily through increased flooding, rather than widespread loss of land: note the sea level changes predicted for this century are 10–20 times smaller than those of the much longer ice age cycles. The fresh water from the Greenland ice sheet could also slow Broecker’s conveyor (Section 4.1), causing other climate impacts. &lt;/p&gt;&lt;p&gt;For the Arctic sea ice, the signal of climate change is clear: it is getting thinner and the amount of it that survives the summer is reducing. Figure 28 shows the trend in extent of sea ice in September each year from 1979–2016 (the summer minimum, of which the median for 1981–2010 is shown as a pink line in Figure 29). The sea ice minimum is decreasing at a rate of approximately 90&amp;#x2009;000 square kilometres each year. Near the start of the observations, in 1980, the September ice area was around 7.9 million square kilometres (white area in Figure 29(a)). In 2012, the September ice area was less than half this (3.6 million square kilometres, Figure 29(b)), though in subsequent years it recovered to some extent. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:342px;" id="fig28"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3618400" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/7bc2f4cf/u116r_b2p3_f3_25.eps.small.jpg" alt="Described image" style="max-width:342px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3624128"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3618400"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 28&lt;/b&gt; The minimum extent of Arctic sea ice in September of each year from 1979–2016 &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3624128&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3624128"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3618400"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3625232" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/320c080d/u116r_b2p3_f3_26.tif.small.jpg" alt="Described image" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3630784"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3625232"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 29&lt;/b&gt; Arctic sea ice extent in September: (a) 1980; (b) 2012. These years have been selected to show the largest observed changes. The median September sea ice extent from 1981–2010 is shown as a pink line. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3630784&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3630784"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3625232"&gt;&lt;/a&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.1</guid>
    <dc:title>5.1 Melting ice caps and sea ice extent</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Figure 27 compares the surface melting on the Greenland ice cap in 1992 and 2005 as measured by satellite. For ice to form, the snow has to survive the following summer. But an increasing area of the Greenland ice cap is melting in summer, so annual snow layers are not being converted to ice in these regions. &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3609600" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/51672c7d/u116r_b2p3_f3_24.eps.small.jpg" alt="Described image" style="max-width:338px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3615024"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3609600"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 27&lt;/b&gt; A comparison of the surface melt of the Greenland ice cap in 1992 and 2005 &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3615024&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3615024"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3609600"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;It is an extremely complex process to estimate the melt of the whole ice cap, and the current best value is that Greenland was losing around 160–270 billion tonnes of ice per year in the first decade of the 21st century. All of this melt is contributing to the predicted sea-level rise of around half a metre to a metre by 2100; a rise of a metre could affect around 150 million people worldwide (Anthoff et al., 2006). &lt;/p&gt;&lt;p&gt;These impacts are primarily through increased flooding, rather than widespread loss of land: note the sea level changes predicted for this century are 10–20 times smaller than those of the much longer ice age cycles. The fresh water from the Greenland ice sheet could also slow Broecker’s conveyor (Section 4.1), causing other climate impacts. &lt;/p&gt;&lt;p&gt;For the Arctic sea ice, the signal of climate change is clear: it is getting thinner and the amount of it that survives the summer is reducing. Figure 28 shows the trend in extent of sea ice in September each year from 1979–2016 (the summer minimum, of which the median for 1981–2010 is shown as a pink line in Figure 29). The sea ice minimum is decreasing at a rate of approximately 90 000 square kilometres each year. Near the start of the observations, in 1980, the September ice area was around 7.9 million square kilometres (white area in Figure 29(a)). In 2012, the September ice area was less than half this (3.6 million square kilometres, Figure 29(b)), though in subsequent years it recovered to some extent. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:342px;" id="fig28"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3618400" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/7bc2f4cf/u116r_b2p3_f3_25.eps.small.jpg" alt="Described image" style="max-width:342px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3624128"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3618400"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 28&lt;/b&gt; The minimum extent of Arctic sea ice in September of each year from 1979–2016 &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3624128&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3624128"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3618400"&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-figure" style="width:512px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3625232" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/320c080d/u116r_b2p3_f3_26.tif.small.jpg" alt="Described image" style="max-width:512px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3630784"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3625232"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 29&lt;/b&gt; Arctic sea ice extent in September: (a) 1980; (b) 2012. These years have been selected to show the largest observed changes. The median September sea ice extent from 1981–2010 is shown as a pink line. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3630784&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3630784"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3625232"&gt;&lt;/a&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5.1.1 Gradient of a straight-line graph</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.1.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;In this study note you will learn how to calculate the gradient of a straight-line graph.&lt;/p&gt;&lt;div class="oucontent-studynote oucontent-s-gradient oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Study note: Gradient of a straight-line graph&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.1#fig28"&gt;Figure 28&lt;/a&gt; shows a general trend of Arctic sea ice decreasing with time, though the annual fluctuations can be quite large. To measure this trend, a &amp;#x2018;best fit’ line is constructed as shown on the graph. This is drawn so that approximately the same number of data points lie above and below the line, but where there are significant fluctuations (as here) it may not pass through many or indeed any of these original points. &lt;/p&gt;&lt;p&gt;The average rate of change of ice extent can be deduced by measuring the slope or gradient of this straight line on the graph. To do this, take two convenient points on the line and read off the values on each axis. These points should ideally be widely spaced (to improve accuracy) and will not necessarily correspond to original data points. &lt;/p&gt;&lt;p&gt;In this example, the years 1980 and 2009 have been chosen, and the corresponding values on the vertical scale for the ice extent (according to the best fit line) are 7.8 and 5.3 million square kilometres. &lt;/p&gt;&lt;p&gt;So the time interval is (2009 – 1980) years = 29 years.&lt;/p&gt;&lt;p&gt;Change of ice cover is (5.3 – 7.8) million km&lt;sup&gt;2&lt;/sup&gt; = –2.5 million km&lt;sup&gt;2&lt;/sup&gt;. &lt;/p&gt;&lt;p&gt;(&lt;i&gt;Note&lt;/i&gt;: the minus sign denotes a negative change, in other words a decrease.) &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="c80797a34d42d3bab0bbaa0bbab3745c54188b52"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_10d" height="72px" role="math" style="vertical-align: -32px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -2355.9621 21045.6 4240.7319" width="357.3164px"&gt;

&lt;desc id="eq_44c947b2_10d"&gt;multiline equation row 1 Rate of change equals gradient row 2  equals two solidus five million km squared solidus 29 years row 3  equals negative 0.09 postfix times million km squared per year&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M130 622Q123 629 119 631T103 634T60 637H27V683H202H236H300Q376 683 417 677T500 648Q595 600 609 517Q610 512 610 501Q610 468 594 439T556 392T511 361T472 343L456 338Q459 335 467 332Q497 316 516 298T545 254T559 211T568 155T578 94Q588 46 602 31T640 16H645Q660 16 674 32T692 87Q692 98 696 101T712 105T728 103T732 90Q732 59 716 27T672 -16Q656 -22 630 -22Q481 -16 458 90Q456 101 456 163T449 246Q430 304 373 320L363 322L297 323H231V192L232 61Q238 51 249 49T301 46H334V0H323Q302 3 181 3Q59 3 38 0H27V46H60Q102 47 111 49T130 61V622ZM491 499V509Q491 527 490 539T481 570T462 601T424 623T362 636Q360 636 340 636T304 637H283Q238 637 234 628Q231 624 231 492V360H289Q390 360 434 378T489 456Q491 467 491 499Z" id="eq_44c947b2_10MJMAIN-52" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_10MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_10MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_10MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_10MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_10MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_10MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 124T102 167T103 217T103 272T103 329Q103 366 103 407T103 482T102 542T102 586T102 603Q99 622 88 628T43 637H25V660Q25 683 27 683L37 684Q47 685 66 686T103 688Q120 689 140 690T170 693T181 694H184V367Q244 442 328 442Q451 442 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_10MJMAIN-68" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_10MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_10MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_10MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_10MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" id="eq_44c947b2_10MJMAIN-64" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_10MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" id="eq_44c947b2_10MJMAIN-32" stroke-width="10"/&gt;
&lt;path d="M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z" id="eq_44c947b2_10MJMAIN-2F" stroke-width="10"/&gt;
&lt;path d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" id="eq_44c947b2_10MJMAIN-35" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_10MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_10MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36Z" id="eq_44c947b2_10MJMAIN-6B" stroke-width="10"/&gt;
&lt;path d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" id="eq_44c947b2_10MJMAIN-39" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_10MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_10MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_10MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_10MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" id="eq_44c947b2_10MJMAIN-2E" stroke-width="10"/&gt;
&lt;path d="M36 -148H50Q89 -148 97 -134V-126Q97 -119 97 -107T97 -77T98 -38T98 6T98 55T98 106Q98 140 98 177T98 243T98 296T97 335T97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 61 434T98 436Q115 437 135 438T165 441T176 442H179V416L180 390L188 397Q247 441 326 441Q407 441 464 377T522 216Q522 115 457 52T310 -11Q242 -11 190 33L182 40V-45V-101Q182 -128 184 -134T195 -145Q216 -148 244 -148H260V-194H252L228 -193Q205 -192 178 -192T140 -191Q37 -191 28 -194H20V-148H36ZM424 218Q424 292 390 347T305 402Q234 402 182 337V98Q222 26 294 26Q345 26 384 80T424 218Z" id="eq_44c947b2_10MJMAIN-70" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
&lt;g transform="translate(167,0)"&gt;
&lt;g transform="translate(-11,0)"&gt;
&lt;g transform="translate(0,1535)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-52"/&gt;
 &lt;use x="741" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="1246" xlink:href="#eq_44c947b2_10MJMAIN-74" y="0"/&gt;
 &lt;use x="1640" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="2339" xlink:href="#eq_44c947b2_10MJMAIN-6F" y="0"/&gt;
 &lt;use x="2844" xlink:href="#eq_44c947b2_10MJMAIN-66" y="0"/&gt;
 &lt;use x="3405" xlink:href="#eq_44c947b2_10MJMAIN-63" y="0"/&gt;
 &lt;use x="3854" xlink:href="#eq_44c947b2_10MJMAIN-68" y="0"/&gt;
 &lt;use x="4415" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="4920" xlink:href="#eq_44c947b2_10MJMAIN-6E" y="0"/&gt;
 &lt;use x="5481" xlink:href="#eq_44c947b2_10MJMAIN-67" y="0"/&gt;
 &lt;use x="5986" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(7224,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-3D" y="1535"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-3D" y="-21"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-3D" y="-1622"/&gt;
&lt;/g&gt;
&lt;g transform="translate(8807,0)"&gt;
&lt;g transform="translate(4124,1535)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-67"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_10MJMAIN-72" y="0"/&gt;
 &lt;use x="902" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="1407" xlink:href="#eq_44c947b2_10MJMAIN-64" y="0"/&gt;
 &lt;use x="1968" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="2251" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="2700" xlink:href="#eq_44c947b2_10MJMAIN-6E" y="0"/&gt;
 &lt;use x="3261" xlink:href="#eq_44c947b2_10MJMAIN-74" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(571,-21)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-32" y="0"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_10MJMAIN-2F" y="0"/&gt;
 &lt;use x="1010" xlink:href="#eq_44c947b2_10MJMAIN-35" y="0"/&gt;
&lt;g transform="translate(1515,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-6D"/&gt;
 &lt;use x="838" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="1121" xlink:href="#eq_44c947b2_10MJMAIN-6C" y="0"/&gt;
 &lt;use x="1404" xlink:href="#eq_44c947b2_10MJMAIN-6C" y="0"/&gt;
 &lt;use x="1687" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="1970" xlink:href="#eq_44c947b2_10MJMAIN-6F" y="0"/&gt;
 &lt;use x="2475" xlink:href="#eq_44c947b2_10MJMAIN-6E" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(4551,0)"&gt;
&lt;g transform="translate(334,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_10MJMAIN-6D" y="0"/&gt;
&lt;/g&gt;
 &lt;use transform="scale(0.707)" x="2411" xlink:href="#eq_44c947b2_10MJMAIN-32" y="610"/&gt;
&lt;/g&gt;
 &lt;use x="6713" xlink:href="#eq_44c947b2_10MJMAIN-2F" y="0"/&gt;
&lt;g transform="translate(7218,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-32"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_10MJMAIN-39" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(8228,0)"&gt;
 &lt;use x="250" xlink:href="#eq_44c947b2_10MJMAIN-79" y="0"/&gt;
 &lt;use x="783" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="1232" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="1737" xlink:href="#eq_44c947b2_10MJMAIN-72" y="0"/&gt;
 &lt;use x="2134" xlink:href="#eq_44c947b2_10MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(0,-1622)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(783,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-30"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_10MJMAIN-2E" y="0"/&gt;
 &lt;use x="788" xlink:href="#eq_44c947b2_10MJMAIN-30" y="0"/&gt;
 &lt;use x="1293" xlink:href="#eq_44c947b2_10MJMAIN-39" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(3082,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-6D"/&gt;
 &lt;use x="838" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="1121" xlink:href="#eq_44c947b2_10MJMAIN-6C" y="0"/&gt;
 &lt;use x="1404" xlink:href="#eq_44c947b2_10MJMAIN-6C" y="0"/&gt;
 &lt;use x="1687" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="1970" xlink:href="#eq_44c947b2_10MJMAIN-6F" y="0"/&gt;
 &lt;use x="2475" xlink:href="#eq_44c947b2_10MJMAIN-6E" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(6118,0)"&gt;
&lt;g transform="translate(167,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_10MJMAIN-6D" y="0"/&gt;
&lt;/g&gt;
 &lt;use transform="scale(0.707)" x="2175" xlink:href="#eq_44c947b2_10MJMAIN-32" y="610"/&gt;
&lt;/g&gt;
&lt;g transform="translate(8113,0)"&gt;
 &lt;use x="250" xlink:href="#eq_44c947b2_10MJMAIN-70" y="0"/&gt;
 &lt;use x="811" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="1260" xlink:href="#eq_44c947b2_10MJMAIN-72" y="0"/&gt;
 &lt;use x="1907" xlink:href="#eq_44c947b2_10MJMAIN-79" y="0"/&gt;
 &lt;use x="2440" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="2889" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="3394" xlink:href="#eq_44c947b2_10MJMAIN-72" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;This is easier to interpret if you convert millions to thousands (multiply by 1000), giving a mean rate of decrease of 90&amp;#xA0;000&amp;#xA0;km&lt;sup&gt;2&lt;/sup&gt; per year. &lt;/p&gt;&lt;p&gt;This is the standard method for calculating the gradient of any straight-line graph, often summarised by the formula&lt;/p&gt;&lt;p&gt;gradient = rise / run &lt;/p&gt;&lt;p&gt;where the rise and the run are measured respectively from the change in values on the vertical and horizontal axis scales of the graph for the two chosen points. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.1.1</guid>
    <dc:title>5.1.1 Gradient of a straight-line graph</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;In this study note you will learn how to calculate the gradient of a straight-line graph.&lt;/p&gt;&lt;div class="oucontent-studynote oucontent-s-gradient oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Study note: Gradient of a straight-line graph&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;p&gt;&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.1#fig28"&gt;Figure 28&lt;/a&gt; shows a general trend of Arctic sea ice decreasing with time, though the annual fluctuations can be quite large. To measure this trend, a ‘best fit’ line is constructed as shown on the graph. This is drawn so that approximately the same number of data points lie above and below the line, but where there are significant fluctuations (as here) it may not pass through many or indeed any of these original points. &lt;/p&gt;&lt;p&gt;The average rate of change of ice extent can be deduced by measuring the slope or gradient of this straight line on the graph. To do this, take two convenient points on the line and read off the values on each axis. These points should ideally be widely spaced (to improve accuracy) and will not necessarily correspond to original data points. &lt;/p&gt;&lt;p&gt;In this example, the years 1980 and 2009 have been chosen, and the corresponding values on the vertical scale for the ice extent (according to the best fit line) are 7.8 and 5.3 million square kilometres. &lt;/p&gt;&lt;p&gt;So the time interval is (2009 – 1980) years = 29 years.&lt;/p&gt;&lt;p&gt;Change of ice cover is (5.3 – 7.8) million km&lt;sup&gt;2&lt;/sup&gt; = –2.5 million km&lt;sup&gt;2&lt;/sup&gt;. &lt;/p&gt;&lt;p&gt;(&lt;i&gt;Note&lt;/i&gt;: the minus sign denotes a negative change, in other words a decrease.) &lt;/p&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="c80797a34d42d3bab0bbaa0bbab3745c54188b52"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_10d" height="72px" role="math" style="vertical-align: -32px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -2355.9621 21045.6 4240.7319" width="357.3164px"&gt;

&lt;desc id="eq_44c947b2_10d"&gt;multiline equation row 1 Rate of change equals gradient row 2  equals two solidus five million km squared solidus 29 years row 3  equals negative 0.09 postfix times million km squared per year&lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M130 622Q123 629 119 631T103 634T60 637H27V683H202H236H300Q376 683 417 677T500 648Q595 600 609 517Q610 512 610 501Q610 468 594 439T556 392T511 361T472 343L456 338Q459 335 467 332Q497 316 516 298T545 254T559 211T568 155T578 94Q588 46 602 31T640 16H645Q660 16 674 32T692 87Q692 98 696 101T712 105T728 103T732 90Q732 59 716 27T672 -16Q656 -22 630 -22Q481 -16 458 90Q456 101 456 163T449 246Q430 304 373 320L363 322L297 323H231V192L232 61Q238 51 249 49T301 46H334V0H323Q302 3 181 3Q59 3 38 0H27V46H60Q102 47 111 49T130 61V622ZM491 499V509Q491 527 490 539T481 570T462 601T424 623T362 636Q360 636 340 636T304 637H283Q238 637 234 628Q231 624 231 492V360H289Q390 360 434 378T489 456Q491 467 491 499Z" id="eq_44c947b2_10MJMAIN-52" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_10MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_10MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_10MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_10MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_10MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_10MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 124T102 167T103 217T103 272T103 329Q103 366 103 407T103 482T102 542T102 586T102 603Q99 622 88 628T43 637H25V660Q25 683 27 683L37 684Q47 685 66 686T103 688Q120 689 140 690T170 693T181 694H184V367Q244 442 328 442Q451 442 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_10MJMAIN-68" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_10MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_10MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_10MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_10MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" id="eq_44c947b2_10MJMAIN-64" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_10MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" id="eq_44c947b2_10MJMAIN-32" stroke-width="10"/&gt;
&lt;path d="M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z" id="eq_44c947b2_10MJMAIN-2F" stroke-width="10"/&gt;
&lt;path d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" id="eq_44c947b2_10MJMAIN-35" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_10MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_10MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36Z" id="eq_44c947b2_10MJMAIN-6B" stroke-width="10"/&gt;
&lt;path d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" id="eq_44c947b2_10MJMAIN-39" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_10MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_10MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_10MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_10MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" id="eq_44c947b2_10MJMAIN-2E" stroke-width="10"/&gt;
&lt;path d="M36 -148H50Q89 -148 97 -134V-126Q97 -119 97 -107T97 -77T98 -38T98 6T98 55T98 106Q98 140 98 177T98 243T98 296T97 335T97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 61 434T98 436Q115 437 135 438T165 441T176 442H179V416L180 390L188 397Q247 441 326 441Q407 441 464 377T522 216Q522 115 457 52T310 -11Q242 -11 190 33L182 40V-45V-101Q182 -128 184 -134T195 -145Q216 -148 244 -148H260V-194H252L228 -193Q205 -192 178 -192T140 -191Q37 -191 28 -194H20V-148H36ZM424 218Q424 292 390 347T305 402Q234 402 182 337V98Q222 26 294 26Q345 26 384 80T424 218Z" id="eq_44c947b2_10MJMAIN-70" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
&lt;g transform="translate(167,0)"&gt;
&lt;g transform="translate(-11,0)"&gt;
&lt;g transform="translate(0,1535)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-52"/&gt;
 &lt;use x="741" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="1246" xlink:href="#eq_44c947b2_10MJMAIN-74" y="0"/&gt;
 &lt;use x="1640" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="2339" xlink:href="#eq_44c947b2_10MJMAIN-6F" y="0"/&gt;
 &lt;use x="2844" xlink:href="#eq_44c947b2_10MJMAIN-66" y="0"/&gt;
 &lt;use x="3405" xlink:href="#eq_44c947b2_10MJMAIN-63" y="0"/&gt;
 &lt;use x="3854" xlink:href="#eq_44c947b2_10MJMAIN-68" y="0"/&gt;
 &lt;use x="4415" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="4920" xlink:href="#eq_44c947b2_10MJMAIN-6E" y="0"/&gt;
 &lt;use x="5481" xlink:href="#eq_44c947b2_10MJMAIN-67" y="0"/&gt;
 &lt;use x="5986" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(7224,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-3D" y="1535"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-3D" y="-21"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-3D" y="-1622"/&gt;
&lt;/g&gt;
&lt;g transform="translate(8807,0)"&gt;
&lt;g transform="translate(4124,1535)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-67"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_10MJMAIN-72" y="0"/&gt;
 &lt;use x="902" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="1407" xlink:href="#eq_44c947b2_10MJMAIN-64" y="0"/&gt;
 &lt;use x="1968" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="2251" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="2700" xlink:href="#eq_44c947b2_10MJMAIN-6E" y="0"/&gt;
 &lt;use x="3261" xlink:href="#eq_44c947b2_10MJMAIN-74" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(571,-21)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-32" y="0"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_10MJMAIN-2F" y="0"/&gt;
 &lt;use x="1010" xlink:href="#eq_44c947b2_10MJMAIN-35" y="0"/&gt;
&lt;g transform="translate(1515,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-6D"/&gt;
 &lt;use x="838" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="1121" xlink:href="#eq_44c947b2_10MJMAIN-6C" y="0"/&gt;
 &lt;use x="1404" xlink:href="#eq_44c947b2_10MJMAIN-6C" y="0"/&gt;
 &lt;use x="1687" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="1970" xlink:href="#eq_44c947b2_10MJMAIN-6F" y="0"/&gt;
 &lt;use x="2475" xlink:href="#eq_44c947b2_10MJMAIN-6E" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(4551,0)"&gt;
&lt;g transform="translate(334,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_10MJMAIN-6D" y="0"/&gt;
&lt;/g&gt;
 &lt;use transform="scale(0.707)" x="2411" xlink:href="#eq_44c947b2_10MJMAIN-32" y="610"/&gt;
&lt;/g&gt;
 &lt;use x="6713" xlink:href="#eq_44c947b2_10MJMAIN-2F" y="0"/&gt;
&lt;g transform="translate(7218,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-32"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_10MJMAIN-39" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(8228,0)"&gt;
 &lt;use x="250" xlink:href="#eq_44c947b2_10MJMAIN-79" y="0"/&gt;
 &lt;use x="783" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="1232" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="1737" xlink:href="#eq_44c947b2_10MJMAIN-72" y="0"/&gt;
 &lt;use x="2134" xlink:href="#eq_44c947b2_10MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(0,-1622)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_10MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(783,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-30"/&gt;
 &lt;use x="505" xlink:href="#eq_44c947b2_10MJMAIN-2E" y="0"/&gt;
 &lt;use x="788" xlink:href="#eq_44c947b2_10MJMAIN-30" y="0"/&gt;
 &lt;use x="1293" xlink:href="#eq_44c947b2_10MJMAIN-39" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(3082,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-6D"/&gt;
 &lt;use x="838" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="1121" xlink:href="#eq_44c947b2_10MJMAIN-6C" y="0"/&gt;
 &lt;use x="1404" xlink:href="#eq_44c947b2_10MJMAIN-6C" y="0"/&gt;
 &lt;use x="1687" xlink:href="#eq_44c947b2_10MJMAIN-69" y="0"/&gt;
 &lt;use x="1970" xlink:href="#eq_44c947b2_10MJMAIN-6F" y="0"/&gt;
 &lt;use x="2475" xlink:href="#eq_44c947b2_10MJMAIN-6E" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(6118,0)"&gt;
&lt;g transform="translate(167,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_10MJMAIN-6B"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_10MJMAIN-6D" y="0"/&gt;
&lt;/g&gt;
 &lt;use transform="scale(0.707)" x="2175" xlink:href="#eq_44c947b2_10MJMAIN-32" y="610"/&gt;
&lt;/g&gt;
&lt;g transform="translate(8113,0)"&gt;
 &lt;use x="250" xlink:href="#eq_44c947b2_10MJMAIN-70" y="0"/&gt;
 &lt;use x="811" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="1260" xlink:href="#eq_44c947b2_10MJMAIN-72" y="0"/&gt;
 &lt;use x="1907" xlink:href="#eq_44c947b2_10MJMAIN-79" y="0"/&gt;
 &lt;use x="2440" xlink:href="#eq_44c947b2_10MJMAIN-65" y="0"/&gt;
 &lt;use x="2889" xlink:href="#eq_44c947b2_10MJMAIN-61" y="0"/&gt;
 &lt;use x="3394" xlink:href="#eq_44c947b2_10MJMAIN-72" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;This is easier to interpret if you convert millions to thousands (multiply by 1000), giving a mean rate of decrease of 90 000 km&lt;sup&gt;2&lt;/sup&gt; per year. &lt;/p&gt;&lt;p&gt;This is the standard method for calculating the gradient of any straight-line graph, often summarised by the formula&lt;/p&gt;&lt;p&gt;gradient = rise / run &lt;/p&gt;&lt;p&gt;where the rise and the run are measured respectively from the change in values on the vertical and horizontal axis scales of the graph for the two chosen points. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5.2 Ice-albedo feedback loop</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.2</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;You have learned that the Earth’s albedo refers to the proportion of solar energy that reaches the Earth’s surface and is reflected straight back out into space. Section 2.1 explained how different surfaces on the Earth have a different albedo and so reflect a different amount of solar energy. Ice has a much higher albedo, and so reflects a much greater amount of solar energy, than the surface of the oceans. &lt;/p&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 12 The changing mean albedo&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;What is likely to be the effect of these changes in ice cover on the albedo of the Arctic region?&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-discussion"&gt;&lt;h3 class="oucontent-h4"&gt;Discussion&lt;/h3&gt;&lt;p&gt;Recall from &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.1#tab1"&gt;Table 1&lt;/a&gt; that the albedo of open water is 3% and that of sea ice is 40%. So the increased thawing during summer will decrease the albedo, so that less energy will be reflected back into space, and more energy will be absorbed. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;The effect on the albedo is actually more complex than suggested by Activity 12, but this ice–albedo feedback loop (Figure 30(b)) is potentially very important. &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.1#tab1"&gt;Table 1&lt;/a&gt; gives the average albedo of sea ice as approximately 40%. Sea ice is not uniform, and it could consist of a mixture of bare ice, ice with snow on (the snow could be either wet or dry) or even ponds of fresh water on the ice as it melts, and each one of these types has a different albedo. &lt;/p&gt;&lt;p&gt;As temperatures rise there will be more bare ice, melt ponds and open water, and the overall albedo will decrease. This means that less energy will be reflected, so more solar energy is absorbed by the ocean, causing further warming and ice melting. The ice–ocean system is in a positive feedback loop, and changes such as melting ice naturally lead to more melting ice. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:511px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/2d10cbd0/u116r_b2p3_f3_27.eps.jpg" alt="Described image" width="511" height="390" style="max-width:511px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3651696"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 30&lt;/b&gt; (a) Graph of the albedo of various ice categories and open water; (b) the ice albedo feedback look – an increase in absorbed sunlight leads to ice melting which lowers the albedo, causing more sunlight to be absorbed &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3651696&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3651696"&gt;&lt;/a&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.2</guid>
    <dc:title>5.2 Ice-albedo feedback loop</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;You have learned that the Earth’s albedo refers to the proportion of solar energy that reaches the Earth’s surface and is reflected straight back out into space. Section 2.1 explained how different surfaces on the Earth have a different albedo and so reflect a different amount of solar energy. Ice has a much higher albedo, and so reflects a much greater amount of solar energy, than the surface of the oceans. &lt;/p&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 12 The changing mean albedo&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;What is likely to be the effect of these changes in ice cover on the albedo of the Arctic region?&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-discussion"&gt;&lt;h3 class="oucontent-h4"&gt;Discussion&lt;/h3&gt;&lt;p&gt;Recall from &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.1#tab1"&gt;Table 1&lt;/a&gt; that the albedo of open water is 3% and that of sea ice is 40%. So the increased thawing during summer will decrease the albedo, so that less energy will be reflected back into space, and more energy will be absorbed. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;The effect on the albedo is actually more complex than suggested by Activity 12, but this ice–albedo feedback loop (Figure 30(b)) is potentially very important. &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-2.1#tab1"&gt;Table 1&lt;/a&gt; gives the average albedo of sea ice as approximately 40%. Sea ice is not uniform, and it could consist of a mixture of bare ice, ice with snow on (the snow could be either wet or dry) or even ponds of fresh water on the ice as it melts, and each one of these types has a different albedo. &lt;/p&gt;&lt;p&gt;As temperatures rise there will be more bare ice, melt ponds and open water, and the overall albedo will decrease. This means that less energy will be reflected, so more solar energy is absorbed by the ocean, causing further warming and ice melting. The ice–ocean system is in a positive feedback loop, and changes such as melting ice naturally lead to more melting ice. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:511px;"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/2d10cbd0/u116r_b2p3_f3_27.eps.jpg" alt="Described image" width="511" height="390" style="max-width:511px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3651696"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 30&lt;/b&gt; (a) Graph of the albedo of various ice categories and open water; (b) the ice albedo feedback look – an increase in absorbed sunlight leads to ice melting which lowers the albedo, causing more sunlight to be absorbed &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3651696&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3651696"&gt;&lt;/a&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5.2.1 Positive and negative feedback</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.2.1</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;&amp;#x2018;Feedback’ is the term used to describe the situation where the output from a process affects the input to that process. You may have encountered the &amp;#x2018;howl’ that can occur when a microphone is placed too near a loudspeaker; the sound from the loudspeaker feeds back to the microphone, gets amplified and is fed back again so that the volume of sound keeps on increasing until the amplifier overloads. This is an example of positive feedback. &lt;/p&gt;&lt;p&gt;Populations of organisms can exhibit the same effect. If one generation produces more than one surviving offspring per adult, there are more organisms to produce young in the next generation, who produce more young in the next, and so on. This leads to a population explosion. Economic growth is supposed to work the same way – increased wealth this year allows us to spend and invest to produce more wealth next year, with this continuing year after year. &lt;/p&gt;&lt;p&gt;Of course, the sound from the loudspeaker cannot get louder and louder forever, populations of organisms don’t actually go on expanding forever, and whatever economists may say, economic growth is unlikely to continue unchecked. The sound from the speaker is limited by the power available to the amplifier, and populations can be limited by their food supply. These limits can either have an effect like running into a brick wall, or be more subtle. &lt;/p&gt;&lt;p&gt;The subtler version is the phenomenon of negative feedback, where an increase in the output from the process causes the process itself to &amp;#x2018;slow down’, so that output returns to a lower level. A room thermostat is a classic example. If the room warms too much, the thermostat reduces the central heating output to let the room cool to the correct temperature. Populations offer another negative feedback situation. When there are more organisms present, there is likely to be less food available per individual (or the increased population may attract more predators), so that the rate of production of young decreases (or the rate of mortality increases) and the population tends to stabilise. Negative feedback is a fundamental concept in the control of machinery and electronic devices, and there are many other examples from ecosystems. &lt;/p&gt;&lt;p&gt;Note that the popular uses of &amp;#x2018;positive feedback’ and &amp;#x2018;negative feedback’ are praise and criticism, but the scientific meanings are not inherently &amp;#x2018;good’ or &amp;#x2018;bad’. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.2.1</guid>
    <dc:title>5.2.1 Positive and negative feedback</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;‘Feedback’ is the term used to describe the situation where the output from a process affects the input to that process. You may have encountered the ‘howl’ that can occur when a microphone is placed too near a loudspeaker; the sound from the loudspeaker feeds back to the microphone, gets amplified and is fed back again so that the volume of sound keeps on increasing until the amplifier overloads. This is an example of positive feedback. &lt;/p&gt;&lt;p&gt;Populations of organisms can exhibit the same effect. If one generation produces more than one surviving offspring per adult, there are more organisms to produce young in the next generation, who produce more young in the next, and so on. This leads to a population explosion. Economic growth is supposed to work the same way – increased wealth this year allows us to spend and invest to produce more wealth next year, with this continuing year after year. &lt;/p&gt;&lt;p&gt;Of course, the sound from the loudspeaker cannot get louder and louder forever, populations of organisms don’t actually go on expanding forever, and whatever economists may say, economic growth is unlikely to continue unchecked. The sound from the speaker is limited by the power available to the amplifier, and populations can be limited by their food supply. These limits can either have an effect like running into a brick wall, or be more subtle. &lt;/p&gt;&lt;p&gt;The subtler version is the phenomenon of negative feedback, where an increase in the output from the process causes the process itself to ‘slow down’, so that output returns to a lower level. A room thermostat is a classic example. If the room warms too much, the thermostat reduces the central heating output to let the room cool to the correct temperature. Populations offer another negative feedback situation. When there are more organisms present, there is likely to be less food available per individual (or the increased population may attract more predators), so that the rate of production of young decreases (or the rate of mortality increases) and the population tends to stabilise. Negative feedback is a fundamental concept in the control of machinery and electronic devices, and there are many other examples from ecosystems. &lt;/p&gt;&lt;p&gt;Note that the popular uses of ‘positive feedback’ and ‘negative feedback’ are praise and criticism, but the scientific meanings are not inherently ‘good’ or ‘bad’. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5.3 Permafrost</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.3</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Climate models suggest that, given the predictions of Arctic warming, the sea ice could disappear completely in summer by the middle of the 21st century. Given this and the changes you have observed in this course, you could not put the current situation any better than this: &lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;With sharply rising atmospheric greenhouse gas concentrations, the change to a seasonally ice-free Arctic Ocean seems inevitable. The only question is how fast we get there. The emerging view is that if we’re still waiting for the rapid slide towards this ice-free state, we won’t be waiting much longer. &lt;/p&gt;&lt;/blockquote&gt;&lt;div class="oucontent-source-reference"&gt;(Serreze and Stroeve, 2008, p. 143)&lt;/div&gt;&lt;/div&gt;&lt;p&gt;The extent of snow cover in the northern hemisphere is decreasing in a similar way in another positive feedback loop, but what about the frozen ground beneath the snow that is called permafrost? Most of the global permafrost is in the Arctic and high mountain areas (Figure 31), and many cities use the frozen ground as foundations for building – and even for temporary roads in winter. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:490px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3660144" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/18691863/u116r_b2p3_f3_28.eps.small.jpg" alt="Described image" style="max-width:490px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3665632"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3660144"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 31&lt;/b&gt; The permafrost distribution in the northern hemisphere. The largest area of continuous permafrost is in the Arctic and high mountain areas. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3665632&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3665632"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3660144"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;It should be expected that the area of permafrost will decrease, but it is difficult to measure. Virtually all boreholes into the permafrost show that Arctic warming (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5#fig26"&gt;Figure 26&lt;/a&gt;) is penetrating into the ground. While frozen, permafrost provides a solid surface – a vehicle will leave no trace. As the permafrost melts, the situation is different. The State of Alaska has strict rules for vehicle travel on permafrost to prevent environmental damage. When it is too warm, travel is not allowed. The duration of allowed permafrost travel set by the Alaska Department of Natural Resources is an interesting climate change proxy (Figure 32)! &lt;/p&gt;&lt;div class="oucontent-figure" style="width:377px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3668720" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/d0659a24/u116r_b2p3_f3_29.eps.small.jpg" alt="Described image" style="max-width:377px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3674192"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3668720"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 32&lt;/b&gt; The annual duration of allowed winter tunda travel days set by the Alaska Department of Natural Resources, from 1970 to 2013&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3674192&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3674192"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3668720"&gt;&lt;/a&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.3</guid>
    <dc:title>5.3 Permafrost</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Climate models suggest that, given the predictions of Arctic warming, the sea ice could disappear completely in summer by the middle of the 21st century. Given this and the changes you have observed in this course, you could not put the current situation any better than this: &lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;With sharply rising atmospheric greenhouse gas concentrations, the change to a seasonally ice-free Arctic Ocean seems inevitable. The only question is how fast we get there. The emerging view is that if we’re still waiting for the rapid slide towards this ice-free state, we won’t be waiting much longer. &lt;/p&gt;&lt;/blockquote&gt;&lt;div class="oucontent-source-reference"&gt;(Serreze and Stroeve, 2008, p. 143)&lt;/div&gt;&lt;/div&gt;&lt;p&gt;The extent of snow cover in the northern hemisphere is decreasing in a similar way in another positive feedback loop, but what about the frozen ground beneath the snow that is called permafrost? Most of the global permafrost is in the Arctic and high mountain areas (Figure 31), and many cities use the frozen ground as foundations for building – and even for temporary roads in winter. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:490px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3660144" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/18691863/u116r_b2p3_f3_28.eps.small.jpg" alt="Described image" style="max-width:490px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3665632"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3660144"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 31&lt;/b&gt; The permafrost distribution in the northern hemisphere. The largest area of continuous permafrost is in the Arctic and high mountain areas. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3665632&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3665632"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3660144"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;It should be expected that the area of permafrost will decrease, but it is difficult to measure. Virtually all boreholes into the permafrost show that Arctic warming (&lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5#fig26"&gt;Figure 26&lt;/a&gt;) is penetrating into the ground. While frozen, permafrost provides a solid surface – a vehicle will leave no trace. As the permafrost melts, the situation is different. The State of Alaska has strict rules for vehicle travel on permafrost to prevent environmental damage. When it is too warm, travel is not allowed. The duration of allowed permafrost travel set by the Alaska Department of Natural Resources is an interesting climate change proxy (Figure 32)! &lt;/p&gt;&lt;div class="oucontent-figure" style="width:377px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3668720" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/d0659a24/u116r_b2p3_f3_29.eps.small.jpg" alt="Described image" style="max-width:377px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3674192"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3668720"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 32&lt;/b&gt; The annual duration of allowed winter tunda travel days set by the Alaska Department of Natural Resources, from 1970 to 2013&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3674192&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3674192"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3668720"&gt;&lt;/a&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5.4 Permafrost and tundra travel days</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.4</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The retreat of the permafrost is serious. Building foundations are collapsing, and there are &amp;#x2018;drunken forests’ as land beneath trees melts, subsides and slumps. Buildings require carefully built foundations, and the Trans-Alaska Pipeline was even designed with refrigerated pillars to prevent pipe fracture through permafrost thaw subsidence. &lt;/p&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 13 Tundra travel days&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Figure 31 (repeated below) shows the number of days on which travel has been allowed on the tundra (land with underlying permafrost is known as tundra). The best fit line has a value of 203 days in 1970 and 120 days in 2013. Estimate the average rate of change in the number of days over this period, to the nearest whole day per year. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:490px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3677824" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/18691863/u116r_b2p3_f3_28.eps.small.jpg" alt="Described image" style="max-width:490px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3683312"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=thumbnailfigure_idp3677824"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 31 (repeated)&lt;/b&gt; The permafrost distribution in the northern hemisphere. The largest area of continuous permafrost is in the Arctic and high mountain areas. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3683312&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3683312"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3677824"&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="a92592ef42e9631e64d90027b3cb3d69ebe2e1b8"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_11d" height="146px" role="math" style="vertical-align: -69px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -4535.2271 25636.5 8599.2618" width="435.2617px"&gt;

&lt;desc id="eq_44c947b2_11d"&gt;multiline equation row 1 Rate of change in number of days equals change in number of days divided by time interval row 2  equals open 120 minus 203 close days divided by 2013 minus 1970 postfix times years row 3  equals negative 83 divided by 43 row 4  equals two days yr super negative one row 5 &lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M130 622Q123 629 119 631T103 634T60 637H27V683H202H236H300Q376 683 417 677T500 648Q595 600 609 517Q610 512 610 501Q610 468 594 439T556 392T511 361T472 343L456 338Q459 335 467 332Q497 316 516 298T545 254T559 211T568 155T578 94Q588 46 602 31T640 16H645Q660 16 674 32T692 87Q692 98 696 101T712 105T728 103T732 90Q732 59 716 27T672 -16Q656 -22 630 -22Q481 -16 458 90Q456 101 456 163T449 246Q430 304 373 320L363 322L297 323H231V192L232 61Q238 51 249 49T301 46H334V0H323Q302 3 181 3Q59 3 38 0H27V46H60Q102 47 111 49T130 61V622ZM491 499V509Q491 527 490 539T481 570T462 601T424 623T362 636Q360 636 340 636T304 637H283Q238 637 234 628Q231 624 231 492V360H289Q390 360 434 378T489 456Q491 467 491 499Z" id="eq_44c947b2_11MJMAIN-52" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_11MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_11MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_11MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_11MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_11MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_11MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 124T102 167T103 217T103 272T103 329Q103 366 103 407T103 482T102 542T102 586T102 603Q99 622 88 628T43 637H25V660Q25 683 27 683L37 684Q47 685 66 686T103 688Q120 689 140 690T170 693T181 694H184V367Q244 442 328 442Q451 442 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_11MJMAIN-68" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_11MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_11MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_11MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58Z" id="eq_44c947b2_11MJMAIN-75" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_11MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M307 -11Q234 -11 168 55L158 37Q156 34 153 28T147 17T143 10L138 1L118 0H98V298Q98 599 97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V543Q179 391 180 391L183 394Q186 397 192 401T207 411T228 421T254 431T286 439T323 442Q401 442 461 379T522 216Q522 115 458 52T307 -11ZM182 98Q182 97 187 90T196 79T206 67T218 55T233 44T250 35T271 29T295 26Q330 26 363 46T412 113Q424 148 424 212Q424 287 412 323Q385 405 300 405Q270 405 239 390T188 347L182 339V98Z" id="eq_44c947b2_11MJMAIN-62" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_11MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" id="eq_44c947b2_11MJMAIN-64" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_11MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_11MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_11MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M338 431Q344 429 422 429Q479 429 503 431H508V385H497Q439 381 423 345Q421 341 356 172T288 -2Q283 -11 263 -11Q244 -11 239 -2Q99 359 98 364Q93 378 82 381T43 385H19V431H25L33 430Q41 430 53 430T79 430T104 429T122 428Q217 428 232 431H240V385H226Q187 384 184 370Q184 366 235 234L286 102L377 341V349Q377 363 367 372T349 383T335 385H331V431H338Z" id="eq_44c947b2_11MJMAIN-76" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_11MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z" id="eq_44c947b2_11MJMAIN-28" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_11MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" id="eq_44c947b2_11MJMAIN-32" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_11MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_11MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z" id="eq_44c947b2_11MJMAIN-33" stroke-width="10"/&gt;
&lt;path d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z" id="eq_44c947b2_11MJMAIN-29" stroke-width="10"/&gt;
&lt;path d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" id="eq_44c947b2_11MJMAIN-39" stroke-width="10"/&gt;
&lt;path d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" id="eq_44c947b2_11MJMAIN-37" stroke-width="10"/&gt;
&lt;path d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" id="eq_44c947b2_11MJMAIN-38" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_11MJMAIN-34" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
&lt;g transform="translate(167,0)"&gt;
&lt;g transform="translate(-11,0)"&gt;
&lt;g transform="translate(0,3388)"&gt;
 &lt;use xlink:href="#eq_44c947b2_11MJMAIN-52"/&gt;
 &lt;use x="741" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use x="1246" xlink:href="#eq_44c947b2_11MJMAIN-74" y="0"/&gt;
 &lt;use x="1640" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use x="2339" xlink:href="#eq_44c947b2_11MJMAIN-6F" y="0"/&gt;
 &lt;use x="2844" xlink:href="#eq_44c947b2_11MJMAIN-66" y="0"/&gt;
 &lt;use x="3405" xlink:href="#eq_44c947b2_11MJMAIN-63" y="0"/&gt;
 &lt;use x="3854" xlink:href="#eq_44c947b2_11MJMAIN-68" y="0"/&gt;
 &lt;use x="4415" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use x="4920" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use x="5481" xlink:href="#eq_44c947b2_11MJMAIN-67" y="0"/&gt;
 &lt;use x="5986" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use x="6685" xlink:href="#eq_44c947b2_11MJMAIN-69" y="0"/&gt;
 &lt;use x="6968" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use x="7779" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use x="8340" xlink:href="#eq_44c947b2_11MJMAIN-75" y="0"/&gt;
 &lt;use x="8901" xlink:href="#eq_44c947b2_11MJMAIN-6D" y="0"/&gt;
 &lt;use x="9739" xlink:href="#eq_44c947b2_11MJMAIN-62" y="0"/&gt;
 &lt;use x="10300" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use x="10749" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
 &lt;use x="11396" xlink:href="#eq_44c947b2_11MJMAIN-6F" y="0"/&gt;
 &lt;use x="11901" xlink:href="#eq_44c947b2_11MJMAIN-66" y="0"/&gt;
 &lt;use x="12462" xlink:href="#eq_44c947b2_11MJMAIN-64" y="0"/&gt;
 &lt;use x="13023" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use x="13528" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use x="14061" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(15249,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-3D" y="3388"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-3D" y="1334"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-3D" y="-623"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-3D" y="-2347"/&gt;
&lt;/g&gt;
&lt;g transform="translate(16832,0)"&gt;
&lt;g transform="translate(0,3388)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="8229" x="0" y="220"/&gt;
&lt;g transform="translate(60,597)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-63"/&gt;
 &lt;use transform="scale(0.707)" x="449" xlink:href="#eq_44c947b2_11MJMAIN-68" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1515" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2076" xlink:href="#eq_44c947b2_11MJMAIN-67" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2581" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="3383" xlink:href="#eq_44c947b2_11MJMAIN-69" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="3666" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="4581" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="5142" xlink:href="#eq_44c947b2_11MJMAIN-75" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="5703" xlink:href="#eq_44c947b2_11MJMAIN-6D" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="6541" xlink:href="#eq_44c947b2_11MJMAIN-62" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="7102" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="7551" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="8301" xlink:href="#eq_44c947b2_11MJMAIN-6F" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="8806" xlink:href="#eq_44c947b2_11MJMAIN-66" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="9471" xlink:href="#eq_44c947b2_11MJMAIN-64" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="10032" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="10537" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="11070" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(2091,-444)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-74"/&gt;
 &lt;use transform="scale(0.707)" x="394" xlink:href="#eq_44c947b2_11MJMAIN-69" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="677" xlink:href="#eq_44c947b2_11MJMAIN-6D" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1515" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2317" xlink:href="#eq_44c947b2_11MJMAIN-69" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2600" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="3161" xlink:href="#eq_44c947b2_11MJMAIN-74" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="3555" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="4004" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="4401" xlink:href="#eq_44c947b2_11MJMAIN-76" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="4934" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="5439" xlink:href="#eq_44c947b2_11MJMAIN-6C" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(1417,1334)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="5394" x="0" y="220"/&gt;
&lt;g transform="translate(239,628)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_11MJMAIN-28" y="0"/&gt;
&lt;g transform="translate(278,0)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-31"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-32" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use transform="scale(0.707)" x="1909" xlink:href="#eq_44c947b2_11MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(1903,0)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-32"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-30" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-33" y="0"/&gt;
&lt;/g&gt;
 &lt;use transform="scale(0.707)" x="4207" xlink:href="#eq_44c947b2_11MJMAIN-29" y="0"/&gt;
&lt;g transform="translate(3253,0)"&gt;
 &lt;use transform="scale(0.707)" x="353" xlink:href="#eq_44c947b2_11MJMAIN-64" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="914" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1419" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1952" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(60,-430)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-32"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-30" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-31" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1515" xlink:href="#eq_44c947b2_11MJMAIN-33" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2020" xlink:href="#eq_44c947b2_11MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(1982,0)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-31"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-39" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-37" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1515" xlink:href="#eq_44c947b2_11MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(3410,0)"&gt;
 &lt;use transform="scale(0.707)" x="353" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="886" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1335" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1840" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2237" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(3421,-623)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="1387" x="0" y="220"/&gt;
&lt;g transform="translate(60,467)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_11MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(553,0)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-38"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-33" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(336,-431)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-34"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-33" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(1721,-2347)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-32" y="0"/&gt;
&lt;g transform="translate(505,0)"&gt;
 &lt;use x="250" xlink:href="#eq_44c947b2_11MJMAIN-64" y="0"/&gt;
 &lt;use x="811" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use x="1316" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use x="1849" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(2753,0)"&gt;
&lt;g transform="translate(334,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_11MJMAIN-79"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(1264,362)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_11MJMAIN-2212" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="783" xlink:href="#eq_44c947b2_11MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;The number of days on which travel has been allowed on the tundra has decreased by an average rate of 2 days per year from 1970–2013.&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;There is, however, another more worrying problem as the permafrost retreats. As the ground subsides, the depressions usually form lakes because the melt water cannot flow through the frozen ground beneath. Thawing of the permafrost at the lake bottom releases organic matter that is perhaps 30&amp;#x2009;000–40&amp;#x2009;000 years old into the water. The organic matter decomposes, giving off methane – a potent global warming gas (Figure 33). The permafrost–methane feedback cycle is another positive feedback in the system. &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/8734d43a/u116r_b2p3_f3_30.tif.jpg" alt="Described image" width="295" height="443" style="max-width:295px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3691552"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 33&lt;/b&gt; Researcher Katey Walter Anthony ignites trapped methane from under the ice in a pond on the University of Alaska, Fairbanks campus &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3691552&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3691552"&gt;&lt;/a&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.4</guid>
    <dc:title>5.4 Permafrost and tundra travel days</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The retreat of the permafrost is serious. Building foundations are collapsing, and there are ‘drunken forests’ as land beneath trees melts, subsides and slumps. Buildings require carefully built foundations, and the Trans-Alaska Pipeline was even designed with refrigerated pillars to prevent pipe fracture through permafrost thaw subsidence. &lt;/p&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 13 Tundra travel days&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;Figure 31 (repeated below) shows the number of days on which travel has been allowed on the tundra (land with underlying permafrost is known as tundra). The best fit line has a value of 203 days in 1970 and 120 days in 2013. Estimate the average rate of change in the number of days over this period, to the nearest whole day per year. &lt;/p&gt;&lt;div class="oucontent-figure" style="width:490px;"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3677824" title="View larger image"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/18691863/u116r_b2p3_f3_28.eps.small.jpg" alt="Described image" style="max-width:490px;" class="oucontent-figure-image oucontent-media-wide" longdesc="view.php?id=82636&amp;extra=longdesc_idp3683312"/&gt;&lt;/a&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-thumbnaillink"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=thumbnailfigure_idp3677824"&gt;View larger image&lt;/a&gt;&lt;/div&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 31 (repeated)&lt;/b&gt; The permafrost distribution in the northern hemisphere. The largest area of continuous permafrost is in the Arctic and high mountain areas. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3683312&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3683312"&gt;&lt;/a&gt;&lt;a id="back_thumbnailfigure_idp3677824"&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;div class="oucontent-equation oucontent-equation-equation oucontent-nocaption"&gt;&lt;span class="oucontent-display-mathml"&gt;&lt;span class="filter_oumaths_equation filter_oumaths_svg" data-ehash="a92592ef42e9631e64d90027b3cb3d69ebe2e1b8"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-labelledby="eq_44c947b2_11d" height="146px" role="math" style="vertical-align: -69px; margin-left: 0ex; margin-right: 0ex; margin-bottom: 0px; margin-top: 0px;" viewBox="0.0 -4535.2271 25636.5 8599.2618" width="435.2617px"&gt;

&lt;desc id="eq_44c947b2_11d"&gt;multiline equation row 1 Rate of change in number of days equals change in number of days divided by time interval row 2  equals open 120 minus 203 close days divided by 2013 minus 1970 postfix times years row 3  equals negative 83 divided by 43 row 4  equals two days yr super negative one row 5 &lt;/desc&gt;
&lt;defs aria-hidden="true"&gt;
&lt;path d="M130 622Q123 629 119 631T103 634T60 637H27V683H202H236H300Q376 683 417 677T500 648Q595 600 609 517Q610 512 610 501Q610 468 594 439T556 392T511 361T472 343L456 338Q459 335 467 332Q497 316 516 298T545 254T559 211T568 155T578 94Q588 46 602 31T640 16H645Q660 16 674 32T692 87Q692 98 696 101T712 105T728 103T732 90Q732 59 716 27T672 -16Q656 -22 630 -22Q481 -16 458 90Q456 101 456 163T449 246Q430 304 373 320L363 322L297 323H231V192L232 61Q238 51 249 49T301 46H334V0H323Q302 3 181 3Q59 3 38 0H27V46H60Q102 47 111 49T130 61V622ZM491 499V509Q491 527 490 539T481 570T462 601T424 623T362 636Q360 636 340 636T304 637H283Q238 637 234 628Q231 624 231 492V360H289Q390 360 434 378T489 456Q491 467 491 499Z" id="eq_44c947b2_11MJMAIN-52" stroke-width="10"/&gt;
&lt;path d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z" id="eq_44c947b2_11MJMAIN-61" stroke-width="10"/&gt;
&lt;path d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" id="eq_44c947b2_11MJMAIN-74" stroke-width="10"/&gt;
&lt;path d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" id="eq_44c947b2_11MJMAIN-65" stroke-width="10"/&gt;
&lt;path d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" id="eq_44c947b2_11MJMAIN-6F" stroke-width="10"/&gt;
&lt;path d="M273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273Z" id="eq_44c947b2_11MJMAIN-66" stroke-width="10"/&gt;
&lt;path d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z" id="eq_44c947b2_11MJMAIN-63" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 124T102 167T103 217T103 272T103 329Q103 366 103 407T103 482T102 542T102 586T102 603Q99 622 88 628T43 637H25V660Q25 683 27 683L37 684Q47 685 66 686T103 688Q120 689 140 690T170 693T181 694H184V367Q244 442 328 442Q451 442 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_11MJMAIN-68" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_11MJMAIN-6E" stroke-width="10"/&gt;
&lt;path d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" id="eq_44c947b2_11MJMAIN-67" stroke-width="10"/&gt;
&lt;path d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" id="eq_44c947b2_11MJMAIN-69" stroke-width="10"/&gt;
&lt;path d="M383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58Z" id="eq_44c947b2_11MJMAIN-75" stroke-width="10"/&gt;
&lt;path d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" id="eq_44c947b2_11MJMAIN-6D" stroke-width="10"/&gt;
&lt;path d="M307 -11Q234 -11 168 55L158 37Q156 34 153 28T147 17T143 10L138 1L118 0H98V298Q98 599 97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V543Q179 391 180 391L183 394Q186 397 192 401T207 411T228 421T254 431T286 439T323 442Q401 442 461 379T522 216Q522 115 458 52T307 -11ZM182 98Q182 97 187 90T196 79T206 67T218 55T233 44T250 35T271 29T295 26Q330 26 363 46T412 113Q424 148 424 212Q424 287 412 323Q385 405 300 405Q270 405 239 390T188 347L182 339V98Z" id="eq_44c947b2_11MJMAIN-62" stroke-width="10"/&gt;
&lt;path d="M36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36Z" id="eq_44c947b2_11MJMAIN-72" stroke-width="10"/&gt;
&lt;path d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" id="eq_44c947b2_11MJMAIN-64" stroke-width="10"/&gt;
&lt;path d="M69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66Z" id="eq_44c947b2_11MJMAIN-79" stroke-width="10"/&gt;
&lt;path d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" id="eq_44c947b2_11MJMAIN-73" stroke-width="10"/&gt;
&lt;path d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z" id="eq_44c947b2_11MJMAIN-3D" stroke-width="10"/&gt;
&lt;path d="M338 431Q344 429 422 429Q479 429 503 431H508V385H497Q439 381 423 345Q421 341 356 172T288 -2Q283 -11 263 -11Q244 -11 239 -2Q99 359 98 364Q93 378 82 381T43 385H19V431H25L33 430Q41 430 53 430T79 430T104 429T122 428Q217 428 232 431H240V385H226Q187 384 184 370Q184 366 235 234L286 102L377 341V349Q377 363 367 372T349 383T335 385H331V431H338Z" id="eq_44c947b2_11MJMAIN-76" stroke-width="10"/&gt;
&lt;path d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z" id="eq_44c947b2_11MJMAIN-6C" stroke-width="10"/&gt;
&lt;path d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z" id="eq_44c947b2_11MJMAIN-28" stroke-width="10"/&gt;
&lt;path d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" id="eq_44c947b2_11MJMAIN-31" stroke-width="10"/&gt;
&lt;path d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" id="eq_44c947b2_11MJMAIN-32" stroke-width="10"/&gt;
&lt;path d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" id="eq_44c947b2_11MJMAIN-30" stroke-width="10"/&gt;
&lt;path d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" id="eq_44c947b2_11MJMAIN-2212" stroke-width="10"/&gt;
&lt;path d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z" id="eq_44c947b2_11MJMAIN-33" stroke-width="10"/&gt;
&lt;path d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z" id="eq_44c947b2_11MJMAIN-29" stroke-width="10"/&gt;
&lt;path d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" id="eq_44c947b2_11MJMAIN-39" stroke-width="10"/&gt;
&lt;path d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" id="eq_44c947b2_11MJMAIN-37" stroke-width="10"/&gt;
&lt;path d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" id="eq_44c947b2_11MJMAIN-38" stroke-width="10"/&gt;
&lt;path d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" id="eq_44c947b2_11MJMAIN-34" stroke-width="10"/&gt;
&lt;/defs&gt;
&lt;g aria-hidden="true" fill="currentColor" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"&gt;
&lt;g transform="translate(167,0)"&gt;
&lt;g transform="translate(-11,0)"&gt;
&lt;g transform="translate(0,3388)"&gt;
 &lt;use xlink:href="#eq_44c947b2_11MJMAIN-52"/&gt;
 &lt;use x="741" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use x="1246" xlink:href="#eq_44c947b2_11MJMAIN-74" y="0"/&gt;
 &lt;use x="1640" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use x="2339" xlink:href="#eq_44c947b2_11MJMAIN-6F" y="0"/&gt;
 &lt;use x="2844" xlink:href="#eq_44c947b2_11MJMAIN-66" y="0"/&gt;
 &lt;use x="3405" xlink:href="#eq_44c947b2_11MJMAIN-63" y="0"/&gt;
 &lt;use x="3854" xlink:href="#eq_44c947b2_11MJMAIN-68" y="0"/&gt;
 &lt;use x="4415" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use x="4920" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use x="5481" xlink:href="#eq_44c947b2_11MJMAIN-67" y="0"/&gt;
 &lt;use x="5986" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use x="6685" xlink:href="#eq_44c947b2_11MJMAIN-69" y="0"/&gt;
 &lt;use x="6968" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use x="7779" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use x="8340" xlink:href="#eq_44c947b2_11MJMAIN-75" y="0"/&gt;
 &lt;use x="8901" xlink:href="#eq_44c947b2_11MJMAIN-6D" y="0"/&gt;
 &lt;use x="9739" xlink:href="#eq_44c947b2_11MJMAIN-62" y="0"/&gt;
 &lt;use x="10300" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use x="10749" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
 &lt;use x="11396" xlink:href="#eq_44c947b2_11MJMAIN-6F" y="0"/&gt;
 &lt;use x="11901" xlink:href="#eq_44c947b2_11MJMAIN-66" y="0"/&gt;
 &lt;use x="12462" xlink:href="#eq_44c947b2_11MJMAIN-64" y="0"/&gt;
 &lt;use x="13023" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use x="13528" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use x="14061" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(15249,0)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-3D" y="3388"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-3D" y="1334"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-3D" y="-623"/&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-3D" y="-2347"/&gt;
&lt;/g&gt;
&lt;g transform="translate(16832,0)"&gt;
&lt;g transform="translate(0,3388)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="8229" x="0" y="220"/&gt;
&lt;g transform="translate(60,597)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-63"/&gt;
 &lt;use transform="scale(0.707)" x="449" xlink:href="#eq_44c947b2_11MJMAIN-68" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1515" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2076" xlink:href="#eq_44c947b2_11MJMAIN-67" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2581" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="3383" xlink:href="#eq_44c947b2_11MJMAIN-69" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="3666" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="4581" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="5142" xlink:href="#eq_44c947b2_11MJMAIN-75" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="5703" xlink:href="#eq_44c947b2_11MJMAIN-6D" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="6541" xlink:href="#eq_44c947b2_11MJMAIN-62" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="7102" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="7551" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="8301" xlink:href="#eq_44c947b2_11MJMAIN-6F" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="8806" xlink:href="#eq_44c947b2_11MJMAIN-66" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="9471" xlink:href="#eq_44c947b2_11MJMAIN-64" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="10032" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="10537" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="11070" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(2091,-444)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-74"/&gt;
 &lt;use transform="scale(0.707)" x="394" xlink:href="#eq_44c947b2_11MJMAIN-69" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="677" xlink:href="#eq_44c947b2_11MJMAIN-6D" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1515" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2317" xlink:href="#eq_44c947b2_11MJMAIN-69" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2600" xlink:href="#eq_44c947b2_11MJMAIN-6E" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="3161" xlink:href="#eq_44c947b2_11MJMAIN-74" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="3555" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="4004" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="4401" xlink:href="#eq_44c947b2_11MJMAIN-76" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="4934" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="5439" xlink:href="#eq_44c947b2_11MJMAIN-6C" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(1417,1334)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="5394" x="0" y="220"/&gt;
&lt;g transform="translate(239,628)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_11MJMAIN-28" y="0"/&gt;
&lt;g transform="translate(278,0)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-31"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-32" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
 &lt;use transform="scale(0.707)" x="1909" xlink:href="#eq_44c947b2_11MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(1903,0)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-32"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-30" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-33" y="0"/&gt;
&lt;/g&gt;
 &lt;use transform="scale(0.707)" x="4207" xlink:href="#eq_44c947b2_11MJMAIN-29" y="0"/&gt;
&lt;g transform="translate(3253,0)"&gt;
 &lt;use transform="scale(0.707)" x="353" xlink:href="#eq_44c947b2_11MJMAIN-64" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="914" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1419" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1952" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(60,-430)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-32"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-30" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-31" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1515" xlink:href="#eq_44c947b2_11MJMAIN-33" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2020" xlink:href="#eq_44c947b2_11MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(1982,0)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-31"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-39" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1010" xlink:href="#eq_44c947b2_11MJMAIN-37" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1515" xlink:href="#eq_44c947b2_11MJMAIN-30" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(3410,0)"&gt;
 &lt;use transform="scale(0.707)" x="353" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="886" xlink:href="#eq_44c947b2_11MJMAIN-65" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1335" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="1840" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="2237" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(3421,-623)"&gt;
&lt;g transform="translate(120,0)"&gt;
&lt;rect height="60" stroke="none" width="1387" x="0" y="220"/&gt;
&lt;g transform="translate(60,467)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_11MJMAIN-2212" y="0"/&gt;
&lt;g transform="translate(553,0)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-38"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-33" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(336,-431)"&gt;
 &lt;use transform="scale(0.707)" xlink:href="#eq_44c947b2_11MJMAIN-34"/&gt;
 &lt;use transform="scale(0.707)" x="505" xlink:href="#eq_44c947b2_11MJMAIN-33" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;g transform="translate(1721,-2347)"&gt;
 &lt;use x="0" xlink:href="#eq_44c947b2_11MJMAIN-32" y="0"/&gt;
&lt;g transform="translate(505,0)"&gt;
 &lt;use x="250" xlink:href="#eq_44c947b2_11MJMAIN-64" y="0"/&gt;
 &lt;use x="811" xlink:href="#eq_44c947b2_11MJMAIN-61" y="0"/&gt;
 &lt;use x="1316" xlink:href="#eq_44c947b2_11MJMAIN-79" y="0"/&gt;
 &lt;use x="1849" xlink:href="#eq_44c947b2_11MJMAIN-73" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(2753,0)"&gt;
&lt;g transform="translate(334,0)"&gt;
 &lt;use xlink:href="#eq_44c947b2_11MJMAIN-79"/&gt;
 &lt;use x="533" xlink:href="#eq_44c947b2_11MJMAIN-72" y="0"/&gt;
&lt;/g&gt;
&lt;g transform="translate(1264,362)"&gt;
 &lt;use transform="scale(0.707)" x="0" xlink:href="#eq_44c947b2_11MJMAIN-2212" y="0"/&gt;
 &lt;use transform="scale(0.707)" x="783" xlink:href="#eq_44c947b2_11MJMAIN-31" y="0"/&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/g&gt;
&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;The number of days on which travel has been allowed on the tundra has decreased by an average rate of 2 days per year from 1970–2013.&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;There is, however, another more worrying problem as the permafrost retreats. As the ground subsides, the depressions usually form lakes because the melt water cannot flow through the frozen ground beneath. Thawing of the permafrost at the lake bottom releases organic matter that is perhaps 30 000–40 000 years old into the water. The organic matter decomposes, giving off methane – a potent global warming gas (Figure 33). The permafrost–methane feedback cycle is another positive feedback in the system. &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/8734d43a/u116r_b2p3_f3_30.tif.jpg" alt="Described image" width="295" height="443" style="max-width:295px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3691552"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 33&lt;/b&gt; Researcher Katey Walter Anthony ignites trapped methane from under the ice in a pond on the University of Alaska, Fairbanks campus &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3691552&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3691552"&gt;&lt;/a&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5.5 Methane trapped in ice</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.5</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;Another potentially significant source of methane in the Arctic is trapped in the shallow seabed of the Arctic Ocean and is called methane clathrate (Figure 34). A clathrate is a lattice that contains other molecules, and methane clathrate is ice that has methane trapped within the crystal matrix. As the ocean warms, the release of large quantities of methane into the atmosphere from clathrates would be yet another positive feedback. This has been called the &amp;#x2018;clathrate gun hypothesis’ and it could lead to a strong amplification of the greenhouse effect that may have happened before in deep time. It could even have been responsible for previous mass animal extinctions. &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/97dbb426/u116r_b2p3_f3_31.tif.jpg" alt="Described image" width="300" height="352" style="max-width:300px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;amp;extra=longdesc_idp3697392"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 34&lt;/b&gt; Burning methane released from methane clathrate &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;amp;extra=longdesc_idp3697392&amp;amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3697392"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Currently, it is thought that some methane is indeed being released from clathrates due to climate change, but also that it is very unlikely that there will be a catastrophic release in the 21st century. However, it could be a substantial effect over the following hundreds to thousands of years. &lt;/p&gt;&lt;div class="&amp;#10;            oucontent-activity&amp;#10;           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 14 Arctic feedbacks&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;What is the particular importance of feedback processes in the context of climate, particularly with respect to the Arctic?&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;There are probably many positive and negative feedback processes associated with climate, but in the Arctic, changes in ice cover are a particularly good example of positive feedback, as is the role of methane. Reduction of ice cover changes the albedo so that more heat is absorbed, warming the water and reducing ice cover still further. As the permafrost melts, it may release methane, a powerful greenhouse gas, potentially raising global temperature and causing further melting of permafrost and release of methane. On the other hand, the possible effect of ice melt on the ocean currents could provide a form of negative feedback. If the warm current flowing north past north-west Europe were to cease, then this would produce a major cooling effect. Currently, it is thought that this would not completely compensate for the warming, at least in the 21st century, but this is an interesting open question. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;It is ironic that anthropogenic climate change driving sea ice and permafrost retreat means that more oil, coal and gas fields are becoming accessible. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.5</guid>
    <dc:title>5.5 Methane trapped in ice</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;Another potentially significant source of methane in the Arctic is trapped in the shallow seabed of the Arctic Ocean and is called methane clathrate (Figure 34). A clathrate is a lattice that contains other molecules, and methane clathrate is ice that has methane trapped within the crystal matrix. As the ocean warms, the release of large quantities of methane into the atmosphere from clathrates would be yet another positive feedback. This has been called the ‘clathrate gun hypothesis’ and it could lead to a strong amplification of the greenhouse effect that may have happened before in deep time. It could even have been responsible for previous mass animal extinctions. &lt;/p&gt;&lt;div class="oucontent-figure oucontent-media-mini"&gt;&lt;img src="https://www.open.edu/openlearn/ocw/pluginfile.php/1327281/mod_oucontent/oucontent/68333/56b6929c/97dbb426/u116r_b2p3_f3_31.tif.jpg" alt="Described image" width="300" height="352" style="max-width:300px;" class="oucontent-figure-image" longdesc="view.php?id=82636&amp;extra=longdesc_idp3697392"/&gt;&lt;div class="oucontent-figure-text"&gt;&lt;div class="oucontent-caption oucontent-nonumber"&gt;&lt;span class="oucontent-figure-caption"&gt;&lt;b&gt;Figure 34&lt;/b&gt; Burning methane released from methane clathrate &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="oucontent-longdesclink oucontent-longdesconly"&gt;&lt;a href="https://www.open.edu/openlearn/ocw/mod/oucontent/view.php?id=82636&amp;extra=longdesc_idp3697392&amp;clicked=1"&gt;Long description&lt;/a&gt;&lt;/div&gt;&lt;a id="back_longdesc_idp3697392"&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;Currently, it is thought that some methane is indeed being released from clathrates due to climate change, but also that it is very unlikely that there will be a catastrophic release in the 21st century. However, it could be a substantial effect over the following hundreds to thousands of years. &lt;/p&gt;&lt;div class="
            oucontent-activity
           oucontent-s-heavybox1 oucontent-s-box "&gt;&lt;div class="oucontent-outer-box"&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-nonumber"&gt;Activity 14 Arctic feedbacks&lt;/h2&gt;&lt;div class="oucontent-inner-box"&gt;&lt;div class="oucontent-saq-timing"&gt;Allow about 10 minutes&lt;/div&gt;&lt;div class="oucontent-saq-question"&gt;&lt;p&gt;What is the particular importance of feedback processes in the context of climate, particularly with respect to the Arctic?&lt;/p&gt;&lt;/div&gt;

&lt;div class="oucontent-saq-answer"&gt;&lt;h3 class="oucontent-h4"&gt;Answer&lt;/h3&gt;&lt;p&gt;There are probably many positive and negative feedback processes associated with climate, but in the Arctic, changes in ice cover are a particularly good example of positive feedback, as is the role of methane. Reduction of ice cover changes the albedo so that more heat is absorbed, warming the water and reducing ice cover still further. As the permafrost melts, it may release methane, a powerful greenhouse gas, potentially raising global temperature and causing further melting of permafrost and release of methane. On the other hand, the possible effect of ice melt on the ocean currents could provide a form of negative feedback. If the warm current flowing north past north-west Europe were to cease, then this would produce a major cooling effect. Currently, it is thought that this would not completely compensate for the warming, at least in the 21st century, but this is an interesting open question. &lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;It is ironic that anthropogenic climate change driving sea ice and permafrost retreat means that more oil, coal and gas fields are becoming accessible. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5.6 The Arctic and our environment</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.6</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;As you approach the end of this course, you will return to the same topic that you began with: &lt;i&gt;Ursus maritimus&lt;/i&gt; – the sea bear. &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1#fig1"&gt;Figure 1&lt;/a&gt; showed some areas used by polar bears, and computer models can predict the effects of anthropogenic climate change on these areas. The story is complex, but the message is stark and clear. The bear sea ice habitats will decrease in extent in the future. It may soon be possible to see bears in their natural habitat only in northern Greenland and the Canadian archipelago. Whether you believe this is an issue of concern depends on your values and your political opinions. &lt;/p&gt;&lt;p&gt;The evidence of change is too clear to ignore. You may decide that a region as remote as the Arctic is not relevant. But the positive feedbacks and global environmental flows mean that the Arctic will not only be affected by climate change but will also be a source for some of the changes that humans may have to adapt to, such as rising sea levels from the melting Greenland ice cap and amplification of global warming. It is therefore more than just a barometer of global change – it is key to shaping the environment. &lt;/p&gt;&lt;p&gt;To be more literary, the Jacobean poet John Donne wrote in the 17th century, before the Arctic was mapped:&lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;No man is an island, entire of itself; every man is a piece of the continent, a part of the main &amp;#x2026; never send to know for whom the bell tolls; it tolls for thee. &lt;/p&gt;&lt;/blockquote&gt;&lt;div class="oucontent-source-reference"&gt;(Donne, 1624)&lt;/div&gt;&lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.6</guid>
    <dc:title>5.6 The Arctic and our environment</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;As you approach the end of this course, you will return to the same topic that you began with: &lt;i&gt;Ursus maritimus&lt;/i&gt; – the sea bear. &lt;a class="oucontent-crossref" href="https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-1#fig1"&gt;Figure 1&lt;/a&gt; showed some areas used by polar bears, and computer models can predict the effects of anthropogenic climate change on these areas. The story is complex, but the message is stark and clear. The bear sea ice habitats will decrease in extent in the future. It may soon be possible to see bears in their natural habitat only in northern Greenland and the Canadian archipelago. Whether you believe this is an issue of concern depends on your values and your political opinions. &lt;/p&gt;&lt;p&gt;The evidence of change is too clear to ignore. You may decide that a region as remote as the Arctic is not relevant. But the positive feedbacks and global environmental flows mean that the Arctic will not only be affected by climate change but will also be a source for some of the changes that humans may have to adapt to, such as rising sea levels from the melting Greenland ice cap and amplification of global warming. It is therefore more than just a barometer of global change – it is key to shaping the environment. &lt;/p&gt;&lt;p&gt;To be more literary, the Jacobean poet John Donne wrote in the 17th century, before the Arctic was mapped:&lt;/p&gt;&lt;div class="oucontent-quote oucontent-s-box"&gt;&lt;blockquote&gt;&lt;p&gt;No man is an island, entire of itself; every man is a piece of the continent, a part of the main … never send to know for whom the bell tolls; it tolls for thee. &lt;/p&gt;&lt;/blockquote&gt;&lt;div class="oucontent-source-reference"&gt;(Donne, 1624)&lt;/div&gt;&lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>5.7 Summary of Section 5</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.7</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;The Arctic climate is strongly seasonal, and many processes such as river flow virtually stop in winter. However, the region is warming and this is affecting many aspects of the local and global environment. The area of the Greenland ice cap that is melting is increasing, and the melt water is contributing to global sea-level rise. The amount of sea ice in summer is consistently decreasing due to increasing temperatures amplified by the positive ice–albedo feedback loop. A summer ice-free Arctic is almost certain, and the only question is how soon it will be. The permafrost is in all probability retreating in extent, causing problems both for humans and for the natural environment. An additional consequence is that the permafrost is releasing methane which, through a positive feedback mechanism, may further amplify the greenhouse effect. &lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-5.7</guid>
    <dc:title>5.7 Summary of Section 5</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;The Arctic climate is strongly seasonal, and many processes such as river flow virtually stop in winter. However, the region is warming and this is affecting many aspects of the local and global environment. The area of the Greenland ice cap that is melting is increasing, and the melt water is contributing to global sea-level rise. The amount of sea ice in summer is consistently decreasing due to increasing temperatures amplified by the positive ice–albedo feedback loop. A summer ice-free Arctic is almost certain, and the only question is how soon it will be. The permafrost is in all probability retreating in extent, causing problems both for humans and for the natural environment. An additional consequence is that the permafrost is releasing methane which, through a positive feedback mechanism, may further amplify the greenhouse effect. &lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>Conclusion</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-6</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;This free course, &lt;i&gt;Environment: understanding atmospheric and ocean flows&lt;/i&gt;, has presented evidence showing that even apparently remote regions on Earth are intimately connected through physical processes. For example, once an organic POP is transported to the poles, biological processes can take over and through bioaccumulation perhaps cause harm. But this physical connection has allowed the ice to preserve unique proxy records of the past climate of our planet. &lt;/p&gt;&lt;p&gt;Directly measuring the gases trapped in the ice has enabled histories of past atmospheric CO&lt;sub&gt;2&lt;/sub&gt; and methane concentrations to be compiled, and it is now known that the current atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration is higher than at any time in the last million years. &lt;/p&gt;&lt;p&gt;It is remarkable to think that agricultural history has been established only over the last 10&amp;#x2009;000 years or so, when the ice cores show that the climate has been uncharacteristically stable. However, humans are likely to have been affecting the climate for at least half of that time, and the Arctic is now warming at a higher rate than almost all of the rest of the planet. Observations show that there are already significant regional changes that humans and animals will have to adapt to. Through feedback processes these regional changes will affect us all. &lt;/p&gt;&lt;p&gt;This OpenLearn course is an adapted extract from the Open University course &lt;span class="oucontent-linkwithtip"&gt;&lt;a class="oucontent-hyperlink" href="http://www.open.ac.uk/courses/modules/u116?LKCAMPAIGN=ebook_&amp;amp;MEDIA=ou"&gt;U116 &lt;i&gt;Environment: journeys through a changing world&lt;/i&gt;&lt;/a&gt;&lt;/span&gt;.&lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section-6</guid>
    <dc:title>Conclusion</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;This free course, &lt;i&gt;Environment: understanding atmospheric and ocean flows&lt;/i&gt;, has presented evidence showing that even apparently remote regions on Earth are intimately connected through physical processes. For example, once an organic POP is transported to the poles, biological processes can take over and through bioaccumulation perhaps cause harm. But this physical connection has allowed the ice to preserve unique proxy records of the past climate of our planet. &lt;/p&gt;&lt;p&gt;Directly measuring the gases trapped in the ice has enabled histories of past atmospheric CO&lt;sub&gt;2&lt;/sub&gt; and methane concentrations to be compiled, and it is now known that the current atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration is higher than at any time in the last million years. &lt;/p&gt;&lt;p&gt;It is remarkable to think that agricultural history has been established only over the last 10 000 years or so, when the ice cores show that the climate has been uncharacteristically stable. However, humans are likely to have been affecting the climate for at least half of that time, and the Arctic is now warming at a higher rate than almost all of the rest of the planet. Observations show that there are already significant regional changes that humans and animals will have to adapt to. Through feedback processes these regional changes will affect us all. &lt;/p&gt;&lt;p&gt;This OpenLearn course is an adapted extract from the Open University course &lt;span class="oucontent-linkwithtip"&gt;&lt;a class="oucontent-hyperlink" href="http://www.open.ac.uk/courses/modules/u116?LKCAMPAIGN=ebook_&amp;MEDIA=ou"&gt;U116 &lt;i&gt;Environment: journeys through a changing world&lt;/i&gt;&lt;/a&gt;&lt;/span&gt;.&lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>References</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section---references</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;div class="oucontent-referenceitem"&gt;Anthoff, D., Nicholls, R.J., Tol, R.S.J. and Vafeidis, A. (2006) &amp;#x2018;Global and regional exposure to large rises in sea-level: a sensitivity analysis’, Working Paper 96, Tyndall Centre for Climate Change Research, Norwich [Online]. Available at http://oldsite.tyndall.ac.uk/publications/tyndall-working-paper/2006/global-and-regional-exposure-large-rises-sea-level-sensitivi (Accessed 1 August 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Arctic Monitoring and Assessment Programme (AMAP) (2009) AMAP Assessment 2009: Arctic Pollution Status [Online]. Available at www.amap.no/documents/doc/time-series-of-pbdes-and-hbcd-in-arctic-wildlife/203 (Accessed 1 August 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Arctic Monitoring and Assessment Programme (AMAP) (2012) Arctic Climate Issues 2011: Changes in Arctic Snow, Water, Ice and Permafrost, SWIPA 2011 Overview Report, Arctic Monitoring and Assessment Programme (AMAP), Oslo [Online]. Available at: www.amap.no/documents/doc/air-temperature-records-from-land-based-weather-stations-inthe-arctic/949 (Accessed 9 July 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Box, J.E., Yang, L., Bromwich, D.H. and Bai, L.-S. (2009) &amp;#x2018;Greenland Ice Sheet Surface Air Temperature Variability: 1840–2007’, Journal of Climate, vol. 22, no. 14, pp. 4029–49. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Donne, J. (1624) Meditation XVII [Online]. Available at www.online-literature.com/donne/409 (Accessed 2 July 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Hong, S., Candelone, J-P., Patterson, C.C. and Boutron, C.F. (1994) &amp;#x2018;Greenland ice evidence of hemispheric lead pollution two millennia ago by Greek and Roman civilizations’, Science, vol. 265, no. 5180, pp. 1841–3. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;IPCC (2013) Climate Change 2013: The Physical Science Basis, Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge, Cambridge University Press. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Jouzel, J. and Masson-Delmotte, V. (2007) &amp;#x2018;EPICA Dome C Ice Core 800KYr deuterium data and temperature estimates’. Supplement to: Jouzel, J., Masson-Delmotte, V., Cattani, O., Dreyfus, G., Falourd, S., Hoffmann, G., Minster, B., Nouet, J., Barnola, J.-M., Chappellaz, J.A., Fischer, H., Gallet, J.C., Johnsen, S.J., Leuenberger, M., Loulergue, L., Luethi, D., Oerter, H., Parrenin, F., Raisbeck, G., Raynaud, D., Schilt, A., Schwander, J., Selmo, E., Souchez, R., Spahni, R., Stauffer, B., Steffensen, J-P., Stenni, B., Stocker, T.-F., Tison, J.-L., Werner, M., Wolff, E.W., (2007) &amp;#x2018;Orbital and millennial Antarctic climate variability over the past 800,000 years’, Science, vol. 317, no. 5839, pp. 793–7 [Online]. Available at https://doi.pangaea.de/10.1594/PANGAEA.683655 (Accessed 9 January 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Lopez, B. (2001) Arctic Dreams: Imagination and desire in a Northern landscape, New York, Charles Scribner’s Sons. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Luthi, D., Le Floch, M., Bereiter, B., Blunier, T., Barnola, J.-M., Siegenthaler, U., Raynaud, D., Jouzel, J., Fischer, H., Kawamura, K. and Stocker, T.F. (2008) &amp;#x2018;High-resolution carbon dioxide concentration record 650,000-800,000 years before present’, Nature, vol. 453, pp. 379–82. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Macdonald, R.W., Harner, T. and Fyfe, J. (2005) &amp;#x2018;Recent climate change in the Arctic and its impact on contaminant pathways and interpretation of temporal trend data’, Science of the Total Environment, vol. 342, nos 1–3, pp. 5–86. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Ruddiman, W.F. (2005) &amp;#x2018;How did humans first alter global climate?’, Scientific American, vol. 292, March, pp. 46–53. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Ruddiman, W.F., Fuller, D.Q., Kutzbach, J.E., Tzedakis, P.C., Kaplan, J.O., Ellis, &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;E.C., Vavrus, S.J., Roberts, C.N., Fyfe, R., He, F., Lemmen, C. and Woodbridge, J. (2016) &amp;#x2018;Late Holocene climate: Natural or anthropogenic?’, Reviews of Geophysics, vol. 54, pp. 93–118. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Scripps (2016a) Mauna Loa Seasonally Adjusted, Scripps CO2 Program, Scripps Institution of Oceanography [Online]. Available at http://scrippsco2.ucsd.edu/graphics_gallery/mauna_loa_record/mauna_loa_seasonally_adjusted (Accessed January 2016)&lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Serreze, M.C. and Stroeve, J.C. (2008) &amp;#x2018;Standing on the brink’, Nature Reports Climate Change, vol. 2, no. 11, pp. 142–3. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Steffensen, J.P., Andersen, K.K., Bigler, M., Clausen, H.B., Dahl-Jensen, D., Fischer, H., Goto-Azuma, K., Hansson, M., Johnsen, S.J., Jouzel, J., Masson-Delmotte, V., Popp, T., Rasmussen, S.O., Rothlisberger, R., Ruth, U., Stauffer, B., Siggaard-Andersen, M.-L., Sveinbj&amp;#xF6;rnsd&amp;#xF3;ttir, A.E., Svensson, A. and White, J.W.C. (2008) &amp;#x2018;High-Resolution Greenland Ice Core Data Show Abrupt Climate Change Happens in Few Years’, Science, vol. 321, no. 5889, pp. 680–4. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Turney, C.S.M. and Brown, H. (2007) &amp;#x2018;Catastrophic early Holocene sea level rise, human migration and the Neolithic transition in Europe’, Quaternary Science Reviews, vol. 26, nos 17–18, pp. 2036–41. &lt;/div&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section---references</guid>
    <dc:title>References</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;div class="oucontent-referenceitem"&gt;Anthoff, D., Nicholls, R.J., Tol, R.S.J. and Vafeidis, A. (2006) ‘Global and regional exposure to large rises in sea-level: a sensitivity analysis’, Working Paper 96, Tyndall Centre for Climate Change Research, Norwich [Online]. Available at http://oldsite.tyndall.ac.uk/publications/tyndall-working-paper/2006/global-and-regional-exposure-large-rises-sea-level-sensitivi (Accessed 1 August 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Arctic Monitoring and Assessment Programme (AMAP) (2009) AMAP Assessment 2009: Arctic Pollution Status [Online]. Available at www.amap.no/documents/doc/time-series-of-pbdes-and-hbcd-in-arctic-wildlife/203 (Accessed 1 August 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Arctic Monitoring and Assessment Programme (AMAP) (2012) Arctic Climate Issues 2011: Changes in Arctic Snow, Water, Ice and Permafrost, SWIPA 2011 Overview Report, Arctic Monitoring and Assessment Programme (AMAP), Oslo [Online]. Available at: www.amap.no/documents/doc/air-temperature-records-from-land-based-weather-stations-inthe-arctic/949 (Accessed 9 July 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Box, J.E., Yang, L., Bromwich, D.H. and Bai, L.-S. (2009) ‘Greenland Ice Sheet Surface Air Temperature Variability: 1840–2007’, Journal of Climate, vol. 22, no. 14, pp. 4029–49. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Donne, J. (1624) Meditation XVII [Online]. Available at www.online-literature.com/donne/409 (Accessed 2 July 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Hong, S., Candelone, J-P., Patterson, C.C. and Boutron, C.F. (1994) ‘Greenland ice evidence of hemispheric lead pollution two millennia ago by Greek and Roman civilizations’, Science, vol. 265, no. 5180, pp. 1841–3. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;IPCC (2013) Climate Change 2013: The Physical Science Basis, Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge, Cambridge University Press. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Jouzel, J. and Masson-Delmotte, V. (2007) ‘EPICA Dome C Ice Core 800KYr deuterium data and temperature estimates’. Supplement to: Jouzel, J., Masson-Delmotte, V., Cattani, O., Dreyfus, G., Falourd, S., Hoffmann, G., Minster, B., Nouet, J., Barnola, J.-M., Chappellaz, J.A., Fischer, H., Gallet, J.C., Johnsen, S.J., Leuenberger, M., Loulergue, L., Luethi, D., Oerter, H., Parrenin, F., Raisbeck, G., Raynaud, D., Schilt, A., Schwander, J., Selmo, E., Souchez, R., Spahni, R., Stauffer, B., Steffensen, J-P., Stenni, B., Stocker, T.-F., Tison, J.-L., Werner, M., Wolff, E.W., (2007) ‘Orbital and millennial Antarctic climate variability over the past 800,000 years’, Science, vol. 317, no. 5839, pp. 793–7 [Online]. Available at https://doi.pangaea.de/10.1594/PANGAEA.683655 (Accessed 9 January 2017). &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Lopez, B. (2001) Arctic Dreams: Imagination and desire in a Northern landscape, New York, Charles Scribner’s Sons. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Luthi, D., Le Floch, M., Bereiter, B., Blunier, T., Barnola, J.-M., Siegenthaler, U., Raynaud, D., Jouzel, J., Fischer, H., Kawamura, K. and Stocker, T.F. (2008) ‘High-resolution carbon dioxide concentration record 650,000-800,000 years before present’, Nature, vol. 453, pp. 379–82. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Macdonald, R.W., Harner, T. and Fyfe, J. (2005) ‘Recent climate change in the Arctic and its impact on contaminant pathways and interpretation of temporal trend data’, Science of the Total Environment, vol. 342, nos 1–3, pp. 5–86. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Ruddiman, W.F. (2005) ‘How did humans first alter global climate?’, Scientific American, vol. 292, March, pp. 46–53. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Ruddiman, W.F., Fuller, D.Q., Kutzbach, J.E., Tzedakis, P.C., Kaplan, J.O., Ellis, &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;E.C., Vavrus, S.J., Roberts, C.N., Fyfe, R., He, F., Lemmen, C. and Woodbridge, J. (2016) ‘Late Holocene climate: Natural or anthropogenic?’, Reviews of Geophysics, vol. 54, pp. 93–118. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Scripps (2016a) Mauna Loa Seasonally Adjusted, Scripps CO2 Program, Scripps Institution of Oceanography [Online]. Available at http://scrippsco2.ucsd.edu/graphics_gallery/mauna_loa_record/mauna_loa_seasonally_adjusted (Accessed January 2016)&lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Serreze, M.C. and Stroeve, J.C. (2008) ‘Standing on the brink’, Nature Reports Climate Change, vol. 2, no. 11, pp. 142–3. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Steffensen, J.P., Andersen, K.K., Bigler, M., Clausen, H.B., Dahl-Jensen, D., Fischer, H., Goto-Azuma, K., Hansson, M., Johnsen, S.J., Jouzel, J., Masson-Delmotte, V., Popp, T., Rasmussen, S.O., Rothlisberger, R., Ruth, U., Stauffer, B., Siggaard-Andersen, M.-L., Sveinbjörnsdóttir, A.E., Svensson, A. and White, J.W.C. (2008) ‘High-Resolution Greenland Ice Core Data Show Abrupt Climate Change Happens in Few Years’, Science, vol. 321, no. 5889, pp. 680–4. &lt;/div&gt;&lt;div class="oucontent-referenceitem"&gt;Turney, C.S.M. and Brown, H. (2007) ‘Catastrophic early Holocene sea level rise, human migration and the Neolithic transition in Europe’, Quaternary Science Reviews, vol. 26, nos 17–18, pp. 2036–41. &lt;/div&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
    <item>
      <title>Acknowledgements</title>
      <link>https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section---acknowledgements</link>
      <pubDate>Mon, 21 Jan 2019 10:17:44 GMT</pubDate>
      <description>&lt;p&gt;This free course was written by Professor Mark Brandon and Dr Tamsin Edwards. It was first published in 2010 and updated in January 2019.&lt;/p&gt;&lt;p&gt;Grateful acknowledgement is made to the following sources. Every effort has been made to contact copyright holders. If any have been inadvertently overlooked the publishers will be pleased to make the necessary arrangements at the first opportunity. &lt;/p&gt;&lt;p&gt;Except for third party materials and otherwise stated (see &lt;span class="oucontent-linkwithtip"&gt;&lt;a class="oucontent-hyperlink" href="http://www.open.ac.uk/conditions"&gt;terms and conditions&lt;/a&gt;&lt;/span&gt;), this content is made available under a &lt;a class="oucontent-hyperlink" href="http://creativecommons.org/licenses/by-nc-sa/4.0/deed.en_GB"&gt;Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Licence&lt;/a&gt;.&lt;/p&gt;&lt;p&gt;The material acknowledged below is Proprietary and used under licence (not subject to Creative Commons Licence). Grateful acknowledgement is made to the following sources for permission to reproduce material in this free course: &lt;/p&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-basic"&gt;Images&lt;/h2&gt;&lt;p&gt;&lt;b&gt;Course image&lt;/b&gt;: Phil Dolby. This file is licensed under the Creative Commons Attribution Licence http://creativecommons.org/licenses/by/3.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 1&lt;/b&gt;: &amp;#xA9; WWF Global. This file is licensed under the Creative Commons Attribution-Noncommercial Licence http://creativecommons.org/licenses/by-nc/4.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 2&lt;/b&gt;: &amp;#xA9; Daniel J Cox / Getty Images&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 3&lt;/b&gt;: &amp;#xA9; AMAP&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 5&lt;/b&gt;: MacDonald et al. (2005) Recent climate change in the Arctic, Science of the Total Environment, Vol 342 Issue 1-3, 15 April 2005. Reprinted with permission from Elsevier Inc.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 6&lt;/b&gt;: Courtesy of Mark Brandon;&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 7b&lt;/b&gt;: Publisher unknown.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 8&lt;/b&gt;: Taken from: http://www.theoildrum.com/node/3636/305647&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 9&lt;/b&gt;: Courtesy AMAP&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 10a&lt;/b&gt;: &amp;#xA9;Nanna B. Karlsson / University of Copenhagen&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 10b&lt;/b&gt;: &amp;#xA9; American Museum of Natural History&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 11&lt;/b&gt;: &amp;#xA9; Hong, S. et al. (1994) Greenland ice evidence of hemispheric lead pollution two millenia ago by Greek &amp;amp; Roman civilisations, Science, Vol 265, 23 Sep 1994;&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 13a&lt;/b&gt;: Autopilot / https://en.wikipedia.org/wiki/File:EPICA_temperature_plot.svg This file is licensed under the Creative Commons Attribution-Share Alike Licence http://creativecommons.org/licenses/by-sa/3.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 13b&lt;/b&gt;: Publisher unknown.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 14&lt;/b&gt;: Hannes Grobe/AWI / https://commons.wikimedia.org/wiki/File:Northern_icesheet_hg.png This file is licensed under the Creative Commons Attribution Licence http://creativecommons.org/licenses/by/3.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 18&lt;/b&gt;: Luthi, D., Le Floch, M., Bereiter, B., Blunier, T., Barnola, J.-M., Siegenthaler, U., Raynaud, D., Jouzel, J., Fischer, H., Kawamura, K. and Stocker, T.F. (2008) &amp;#x2018;High-resolution carbon dioxide concentration record 650,000-800,000 years before present’, Nature, vol. 453, pp. 379–82.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 20&lt;/b&gt;: Opiola jerzy. This file is licensed under the Creative Commons Attribution-Share Alike Licence http://creativecommons.org/licenses/by-sa/3.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 22&lt;/b&gt;: National Snow and Ice Data Center. https://nsidc.org/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 23&lt;/b&gt;: Turney, C.S.M. and Brown, H. (2007) Quaternary Science Reviews, with permission from Elsevier inc.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 25&lt;/b&gt;: Yang D., et al., (2002) 'Siberian Lena River Hydrologic Regime and Recent Change', Journal of Geophysical Research, Vol. 107, No. D23, 4694.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 26&lt;/b&gt;: AMAP&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 29&lt;/b&gt;: &amp;#xA9; NASA&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 30&lt;/b&gt;: &amp;#xA9; Global Outlook for Ice &amp;amp; Snow / United Nations Environment Programme 2007 / Courtesy of UNEO&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 31&lt;/b&gt;: McDonald et al. (2005), 'Recent Climate Change in the Arctic', Science of the Total Environment, Vol.342 Issue 1-3 15th April 2005 Reprinted with permission of Elsevier Inc.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 33&lt;/b&gt;: &amp;#xA9; Image taken by Todd Paris University of Alaska Fairbanks&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 34&lt;/b&gt;: &amp;#xA9; NASA&lt;/p&gt;&lt;p&gt;Every effort has been made to contact copyright owners. If any have been inadvertently overlooked, the publishers will be pleased to make the necessary arrangements at the first opportunity.&lt;/p&gt;&lt;p/&gt;&lt;p&gt;&lt;b&gt;Don't miss out&lt;/b&gt;&lt;/p&gt;&lt;p&gt;If reading this text has inspired you to learn more, you may be interested in joining the millions of people who discover our free learning resources and qualifications by visiting The Open University – &lt;a class="oucontent-hyperlink" href="http://www.open.edu/openlearn/free-courses?LKCAMPAIGN=ebook_&amp;amp;MEDIA=ol"&gt;www.open.edu/&lt;span class="oucontent-hidespace"&gt; &lt;/span&gt;openlearn/&lt;span class="oucontent-hidespace"&gt; &lt;/span&gt;free-courses&lt;/a&gt;.&lt;/p&gt;</description>
      <guid isPermaLink="true">https://www.open.edu/openlearn/nature-environment/environment-understanding-atmospheric-and-ocean-flows/content-section---acknowledgements</guid>
    <dc:title>Acknowledgements</dc:title><dc:identifier>U116_6</dc:identifier><dc:description>&lt;p&gt;This free course was written by Professor Mark Brandon and Dr Tamsin Edwards. It was first published in 2010 and updated in January 2019.&lt;/p&gt;&lt;p&gt;Grateful acknowledgement is made to the following sources. Every effort has been made to contact copyright holders. If any have been inadvertently overlooked the publishers will be pleased to make the necessary arrangements at the first opportunity. &lt;/p&gt;&lt;p&gt;Except for third party materials and otherwise stated (see &lt;span class="oucontent-linkwithtip"&gt;&lt;a class="oucontent-hyperlink" href="http://www.open.ac.uk/conditions"&gt;terms and conditions&lt;/a&gt;&lt;/span&gt;), this content is made available under a &lt;a class="oucontent-hyperlink" href="http://creativecommons.org/licenses/by-nc-sa/4.0/deed.en_GB"&gt;Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Licence&lt;/a&gt;.&lt;/p&gt;&lt;p&gt;The material acknowledged below is Proprietary and used under licence (not subject to Creative Commons Licence). Grateful acknowledgement is made to the following sources for permission to reproduce material in this free course: &lt;/p&gt;&lt;h2 class="oucontent-h3 oucontent-heading oucontent-basic"&gt;Images&lt;/h2&gt;&lt;p&gt;&lt;b&gt;Course image&lt;/b&gt;: Phil Dolby. This file is licensed under the Creative Commons Attribution Licence http://creativecommons.org/licenses/by/3.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 1&lt;/b&gt;: © WWF Global. This file is licensed under the Creative Commons Attribution-Noncommercial Licence http://creativecommons.org/licenses/by-nc/4.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 2&lt;/b&gt;: © Daniel J Cox / Getty Images&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 3&lt;/b&gt;: © AMAP&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 5&lt;/b&gt;: MacDonald et al. (2005) Recent climate change in the Arctic, Science of the Total Environment, Vol 342 Issue 1-3, 15 April 2005. Reprinted with permission from Elsevier Inc.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 6&lt;/b&gt;: Courtesy of Mark Brandon;&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 7b&lt;/b&gt;: Publisher unknown.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 8&lt;/b&gt;: Taken from: http://www.theoildrum.com/node/3636/305647&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 9&lt;/b&gt;: Courtesy AMAP&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 10a&lt;/b&gt;: ©Nanna B. Karlsson / University of Copenhagen&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 10b&lt;/b&gt;: © American Museum of Natural History&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 11&lt;/b&gt;: © Hong, S. et al. (1994) Greenland ice evidence of hemispheric lead pollution two millenia ago by Greek &amp; Roman civilisations, Science, Vol 265, 23 Sep 1994;&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 13a&lt;/b&gt;: Autopilot / https://en.wikipedia.org/wiki/File:EPICA_temperature_plot.svg This file is licensed under the Creative Commons Attribution-Share Alike Licence http://creativecommons.org/licenses/by-sa/3.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 13b&lt;/b&gt;: Publisher unknown.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 14&lt;/b&gt;: Hannes Grobe/AWI / https://commons.wikimedia.org/wiki/File:Northern_icesheet_hg.png This file is licensed under the Creative Commons Attribution Licence http://creativecommons.org/licenses/by/3.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 18&lt;/b&gt;: Luthi, D., Le Floch, M., Bereiter, B., Blunier, T., Barnola, J.-M., Siegenthaler, U., Raynaud, D., Jouzel, J., Fischer, H., Kawamura, K. and Stocker, T.F. (2008) ‘High-resolution carbon dioxide concentration record 650,000-800,000 years before present’, Nature, vol. 453, pp. 379–82.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 20&lt;/b&gt;: Opiola jerzy. This file is licensed under the Creative Commons Attribution-Share Alike Licence http://creativecommons.org/licenses/by-sa/3.0/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 22&lt;/b&gt;: National Snow and Ice Data Center. https://nsidc.org/&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 23&lt;/b&gt;: Turney, C.S.M. and Brown, H. (2007) Quaternary Science Reviews, with permission from Elsevier inc.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 25&lt;/b&gt;: Yang D., et al., (2002) 'Siberian Lena River Hydrologic Regime and Recent Change', Journal of Geophysical Research, Vol. 107, No. D23, 4694.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 26&lt;/b&gt;: AMAP&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 29&lt;/b&gt;: © NASA&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 30&lt;/b&gt;: © Global Outlook for Ice &amp; Snow / United Nations Environment Programme 2007 / Courtesy of UNEO&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 31&lt;/b&gt;: McDonald et al. (2005), 'Recent Climate Change in the Arctic', Science of the Total Environment, Vol.342 Issue 1-3 15th April 2005 Reprinted with permission of Elsevier Inc.&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 33&lt;/b&gt;: © Image taken by Todd Paris University of Alaska Fairbanks&lt;/p&gt;&lt;p&gt;&lt;b&gt;Figure 34&lt;/b&gt;: © NASA&lt;/p&gt;&lt;p&gt;Every effort has been made to contact copyright owners. If any have been inadvertently overlooked, the publishers will be pleased to make the necessary arrangements at the first opportunity.&lt;/p&gt;&lt;p/&gt;&lt;p&gt;&lt;b&gt;Don't miss out&lt;/b&gt;&lt;/p&gt;&lt;p&gt;If reading this text has inspired you to learn more, you may be interested in joining the millions of people who discover our free learning resources and qualifications by visiting The Open University – &lt;a class="oucontent-hyperlink" href="http://www.open.edu/openlearn/free-courses?LKCAMPAIGN=ebook_&amp;MEDIA=ol"&gt;www.open.edu/&lt;span class="oucontent-hidespace"&gt; &lt;/span&gt;openlearn/&lt;span class="oucontent-hidespace"&gt; &lt;/span&gt;free-courses&lt;/a&gt;.&lt;/p&gt;</dc:description><dc:publisher>The Open University</dc:publisher><dc:creator>The Open University</dc:creator><dc:type>Course</dc:type><dc:format>text/html</dc:format><dc:language>en-GB</dc:language><dc:source>Environment: understanding atmospheric and ocean flows - U116_6</dc:source><cc:license>Copyright © 2019 The Open University</cc:license></item>
  </channel>
</rss>
