<?xml version="1.0" encoding="iso-8859-1"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 Transitional//EN" "xhtml1-transitional.dtd">
<?xml-stylesheet type="text/xsl" href="pmathml.xsl"?>
<html xmlns="http://www.w3.org/1999/xhtml">
  <head>
    <meta name="generator" content="HTML Tidy for Windows (vers 15 August 2007), see www.w3.org" />
    <title>
      Introduction to climate dynamics and climate modelling - Greenhouse gases
    </title>
    <meta http-equiv="Content-Language" content="fr" />
    <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
    <link type="text/css" rel="stylesheet" media="screen" href="style.css" />
    <link media="print" href="print.css" type="text/css" rel="stylesheet" /> 
    <script type="text/javascript" src="menu.js"></script>
    <script type="text/javascript" src="search_in_the_page.js"></script>
    <style type="text/css">
/*<![CDATA[*/
    div.c1 {text-align: center}
    /*]]>*/
    </style>
  </head>
  <body>
    <div id="site">
      <div id="header"></div>
      <div id="sous-header">
        <div id="mh">
          <dl>        		
            <dt>
              <a href="index.html" title="Home">Home</a>
            </dt>        	
          </dl>	         	
          <dl>			         		
            <dt id="menu1" onmouseover="MontrerMenu('ssmenu1');" onmouseout="CacherDelai();">
              <a href="contents.html" title="Contents" onmouseover="MontrerMenu('ssmenu1');" onfocus="MontrerMenu('ssmenu1');">Contents</a>
            </dt>        			
            <dd id="ssmenu1" onmouseover="AnnulerCacher();" onmouseout="CacherDelai();" onfocus="AnnulerCacher();" onblur="CacherDelai();">        				
              <ul>        					<li>
                <a href="preface.html">Preface</a></li>        					<li>
                <a href="chapter1_node1.html"><NOBR>1. Climate system</NOBR></a></li>        					<li>
                <a href="chapter2_node1.html"><NOBR>2. Energy balance</NOBR></a></li><li>
                <a href="chapter3_node1.html"><NOBR>3. Modelling</NOBR></a></li>        					<li>
                <a href="chapter4_node1.html"><NOBR>4. Perturbations</NOBR></a></li>                  <li>
                <a href="chapter5_node1.html"><NOBR>5. Brief history</NOBR></a></li>  
                <li><a href="chapter6_node1.html"><NOBR>6. Future climate changes</NOBR></a></li>       				
              </ul>        			
            </dd>        	
          </dl>        	  
          <dl>            
            <dt> 
              <a href="symbols.xml" title="Symbols and acronyms">Symbols and acronyms</a>
            </dt>        	
          </dl>	           
          <dl>            
            <dt> 
              <a href="glossary.xml" title="Glossary">Glossary</a>
            </dt>        	
          </dl>	         	
          <dl>            
            <dt>
              <a title="eBook"  href="ebook.html">eBook</a>
            </dt>          
          </dl>	         	
          <dl>            
            <dt>
              <a title="Search" href="http://www.elic.ucl.ac.be/cgi-bin/search/search.pl">Search</a>
            </dt>          
          </dl>	         	
          <dl>            
            <dt>
              <a title="History" href="history.html">History</a>
            </dt>          
          </dl>	         	
                 	
          <dl>            
            <dt>
              <a title="About" href="about.html">About</a>
            </dt>          
          </dl>	         	
          <dl>        	
          </dl>
        </div>
      </div>
      <div id="corp">
        <div id="left">
          <div id="contenu-left">
            <div id="title">Description</div>
            <div id="contenu-menu">
                <a href="index.html">Introduction to climate dynamics and climate modelling</a>
                <br />
                <!--[if IE]>
                <div align="right"><br />
                  <a style="color: #D86C03" href="javascript:self.print()">Print this page</a>
                </div>
                <![endif]-->             
                <!--[if !IE]><!-->
                <div style="margin-bottom: -15px; margin-top: 5px;" align="right">
                  <a style="color: #D86C03" href="javascript:self.print()">Print this page</a>
                </div>
                <!--<![endif]-->
            </div>
            <div id="title">
              Contact
            </div>
            <div id="menu">
              <a href="http://www.elic.ucl.ac.be/index.php?page=hgs%23HomePage">Hugues
              Goosse</a><br />
              <br />
              <a href="mailto:pierre-yves.barriat@uclouvain.be">Webmastering</a><br />
              <br />
              <a href="http://www.elic.ucl.ac.be/">Institut</a>            
            </div>
            <br />             
            <div id="title">References</div>
            <div id="menu">
                <a href="chapter4_node14.html">Cited references</a><br /><br />
                <a href="chapter4_node16.html">Web links</a><br /><br />
                <br />               
            </div>
            <!--[if IE]>
                          <div id="title">Technical Note</div>
                          <div id="contenu-menu" align="center">
                            <img alt="Caution" style="border-width:0" src="./images/caution.gif" /><br />
                            Your browser need to support MathML.<br />
                Microsoft Internet Explorer 6 or above, require the
                            <a style="color: #D86C03" href="http://www.mathplayer.com/en/products/mathplayer/welcome.asp">
                            MathPlayer  plugin</a>.
                          <br />
                          </div>  
                        <![endif]-->             
            <!--[if !IE]><!-->               
            <div id="title">Technical Note
            </div>              
            <div id="contenu-menu" align="center">                
              <img alt="Caution" style="border-width:0" src="./images/caution.gif" /><br />
              Your browser need to support MathML.<br />
                Firefox require an additional                 
                <a style="color: #D86C03" href="fonts.html">mathematics fonts package</a>.             <br />              
            </div>            
            <!--<![endif]-->
                    
            <div id="title">Copyright
            </div>              
            <div id="contenu-menu" align="center"> 
              <br />               
              <a rel="license" href="http://creativecommons.org/licenses/by-nc/3.0/" target="_blank">
              <img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-nc/3.0/88x31.png" /></a>
              <br />
              Content on this site is licensed under a 
              <a style="color: #D86C03" target="_blank" rel="license" href="http://creativecommons.org/licenses/by-nc/3.0/">Creative Commons License</a>.              
<!-- phpmyvisites -->
<br /><br /><a href="http://www.elic.ucl.ac.be/textbook/phpmv2/" title="phpMyVisites | Open source web analytics"
onclick="window.open(this.href);return(false);"><script type="text/javascript">
<!--
var a_vars = Array();
var pagename='';

var phpmyvisitesSite = 1;
var phpmyvisitesURL = "http://www.elic.ucl.ac.be/textbook/phpmv2/phpmyvisites.php";
//-->
</script>
<script language="javascript" src="http://www.elic.ucl.ac.be/textbook/phpmv2/phpmyvisites.js" type="text/javascript"></script>
<object><noscript><p>phpMyVisites | Open source web analytics
<img src="http://www.elic.ucl.ac.be/textbook/phpmv2/phpmyvisites.php" alt="Statistics" style="border:0" />
</p></noscript></object></a>
<!-- /phpmyvisites -->               
            </div>
        </div>
    </div>
    <div id="right">
          <div id="contenu-right">
            
            <div id="arbo2" class="navigation">
              <!--Navigation Panel-->
              <a href="chapter4_node3_2.html"><img align="bottom" border="0" alt="Next" src=
              "./images/next.gif" /></a>&#160;<a href="chapter4_node3_0.html"><img align="bottom" border=
              "0" alt="Up" src="./images/up.gif" /></a>&#160;<a href="chapter4_node3_0.html"><img align=
              "bottom" border="0" alt="Previous" src="./images/prev.gif" /></a><br />
              <b>Next:</b>&#160;<a href="chapter4_node3_2.html">4.1.2.2 Aerosols </a><b>Up:</b>&#160;
              <a href="chapter4_node3_0.html">4.1.2 Major radiative forcings </a><b>Previous:</b>&#160;
              <a href="chapter4_node3_0.html">4.1.2 Major radiative forcings </a><br />
              <br />
            </div><!--End of Navigation Panel-->

<h3>
<a name="section341" id="section341"></a> 4.1.2.1 Greenhouse gases
</h3>

<p>
The main radiative forcings that have affected the Earth's climate can be 
grouped into different categories. This has classically been done to estimate 
both the anthropogenic and natural forcings compared to preindustrial conditions 
corresponding typically to 1750 (Fig. <a href="#image4x13">4.2</a>, 
see also section <a href="chapter5_node20.xml">5.5.3</a>). Over the last 
250 years, the changes in greenhouse gas concentrations have played a dominant 
role (note that this also seems to be valid in a more remote past, see 
section <a href="chapter5_node7.html">5.3</a>). The largest contribution comes from the modification of the 
atmospheric <i>CO<sub>2</sub></i> concentration, with a radiative forcing of about 1.7 Wm<sup>-2</sup> 
between 1750 and 2005. However concentrations of <i>CH<sub>4</sub></i>, <i>N<sub>2</sub>O</i> and the 
<a href="glossary_h.xml#halocarbons">halocarbons</a> 
also have to be taken into account.
</p>

            <div align="center">
              <a name="image4x13" id="image4x13"></a>
              <table>
                <caption align="bottom"><p align="center">
                  <strong>Figure 4.2:</strong> Global mean radiative forcings 
                  from various agents and mechanisms between 1750 and 2005. Time 
                  scales represent the length of time that a given radiative 
                  forcing term would persist in the atmosphere after the associated 
                  emissions and changes have ceased. No <i>CO<sub>2</sub></i> time scale is given, as 
                  its removal from the atmosphere involves a range of processes that 
                  can span long time scales, and thus cannot be expressed accurately 
                  with a narrow range of lifetime values (see Chapter 
                  <a href="chapter6_node1.html">6</a>). Figure 2.20 
                  from Forster et al. (2007) using a modified legend, published in: 
                  Climate Change 2007: The Physical Science Basis. Contribution of 
                  Working Group I to the Fourth Assessment Report of the 
                  Intergovernmental Panel on Climate Change, Cambridge University Press, 
                  copyright IPCC 2007. Reproduced with permission.
                </p></caption>
                <tr>
                  <td>
                    <div class="c1">
                      <img  align="bottom" border="0" HEIGHT="375px" width="600px" src="./images/image4x13.png"
                      alt="Image image4x13" />
                    </div>
                  </td>
                </tr>
              </table>
            </div>

<p>
Estimating the radiative forcing 
<math xmlns="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mi>
  &#x0394;</mi></math><i>Q</i> associated with the changes in the concentrations 
of these gases requires a comprehensive radiative transfer model. However, relatively 
good approximations can be obtained for <i>CO<sub>2</sub></i> from a simple formula:
</p>

           <p> 
            <div class="c1">
              <a name="GrindEQ__4_1_" id="GrindEQ__4_1_"></a><!-- MATH
 \begin{equation}
\Delta R=\Delta Q+\lambda _{f} \Delta T_{S}
\end{equation}
 -->
              <table class="equation" cellpadding="0" width="90%" align="center">
                <tr valign="middle">
                  <td nowrap="nowrap" align="center">

<math xmlns="http://www.w3.org/1998/Math/MathML">
<mrow><mi>&#x0394;</mi><mi>Q</mi><mo>=</mo><mn>5</mn><mo>.</mo><mn>4</mn><mi>ln</mi><mrow><mo>(</mo>
<mfrac><mrow><mo stretchy="false">[</mo>
<msub><mrow><mi>CO</mi></mrow><mrow><mn>2</mn></mrow>

</msub>
<mo stretchy="false">]</mo></mrow>
<mrow><mo stretchy="false">[</mo>
<msub><mrow><mi>CO</mi></mrow><mrow><mn>2</mn></mrow>
</msub>

<msub><mrow><mo stretchy="false">]</mo></mrow><mrow><mi>r</mi></mrow>
</msub>
</mrow>
</mfrac>
<mo>)</mo></mrow></mrow>

</math>

                  </td>
                  <td nowrap="nowrap" width="10" align="right">
                    (4.1)
                  </td>
                </tr>
              </table>
            </div>
<br clear="all" />
            <p>
              </p>
            </p>

<p>
where [<i>CO<sub>2</sub></i>] and [<i>CO<sub>2</sub></i>]<sub>r</sub> 
are the <i>CO<sub>2</sub></i> concentrations in ppm for the period being investigated and for 
a reference period, respectively.
</p>

<p>
Similar approximations can be made for <i>CH<sub>4</sub></i> and <i>N<sub>2</sub>O</i>:
</p>

           <p> 
            <div class="c1">
              <a name="GrindEQ__4_2_" id="GrindEQ__4_2_"></a><!-- MATH
 \begin{equation}
\Delta R=\Delta Q+\lambda _{f} \Delta T_{S}
\end{equation}
 -->
              <table class="equation" cellpadding="0" width="90%" align="center">
                <tr valign="middle">
                  <td nowrap="nowrap" align="center">

<math xmlns="http://www.w3.org/1998/Math/MathML">

<mrow><mi>&#x0394;</mi><mi>Q</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>036</mn><mrow><mo>(</mo><msqrt><mrow><mo stretchy="false">[</mo>
<msub><mrow><mi>CH</mi></mrow><mrow><mn>4</mn></mrow>
</msub>
<mo stretchy="false">]</mo></mrow></msqrt><mo>-</mo><msqrt><mrow><mo stretchy="false">[</mo>

<msub><mrow><mi>CH</mi></mrow><mrow><mn>4</mn></mrow>
</msub>

<msub><mrow><mo stretchy="false">]</mo></mrow><mrow><mi>r</mi></mrow>
</msub>
</mrow></msqrt><mo>)</mo></mrow></mrow>
</math>

                  </td>
                  <td nowrap="nowrap" width="10" align="right">
                    (4.2)
                  </td>
                </tr>
              </table>
            </div>
<br clear="all" />

            </p>

           <p> 
            <div class="c1">
              <a name="GrindEQ__4_3_" id="GrindEQ__4_3_"></a><!-- MATH
 \begin{equation}
\Delta R=\Delta Q+\lambda _{f} \Delta T_{S}
\end{equation}
 -->
              <table class="equation" cellpadding="0" width="90%" align="center">
                <tr valign="middle">
                  <td nowrap="nowrap" align="center">

<math xmlns="http://www.w3.org/1998/Math/MathML">

<mrow><mi>&#x0394;</mi><mi>Q</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>011</mn><mrow><mo>(</mo><msqrt><mrow><mo stretchy="false">[</mo>
<msub><mrow><mi>N</mi></mrow><mrow><mn>2</mn></mrow>
</msub>
<mi>O</mi><mo stretchy="false">]</mo></mrow></msqrt><mo>-</mo><msqrt><mrow><mo stretchy="false">[</mo>

<msub><mrow><mi>N</mi></mrow><mrow><mn>2</mn></mrow>
</msub>
<mi>O</mi>
<msub><mrow><mo stretchy="false">]</mo></mrow><mrow><mi>r</mi></mrow>
</msub>
</mrow></msqrt><mo>)</mo></mrow></mrow>
</math>

                  </td>
                  <td nowrap="nowrap" width="10" align="right">
                    (4.3)
                  </td>
                </tr>
              </table>
            </div>
<br clear="all" />
            <p>
              </p>
            </p>

<p>
where the same notation is used as in Eq. <a href="#GrindEQ__4_1_">4.1</a>, the concentrations being in ppb.
</p>

<p>
For <a href="glossary_h.xml#halocarbons">halocarbons</a>, 
a linear expression appears valid. When evaluating the 
radiative forcing since 1750, reference values for this period are 
classically: <i>CO<sub>2</sub></i> (278ppm), <i>CH<sub>4</sub></i> (715 ppb), <i>N<sub>2</sub>O</i> 
(270 ppb) (see in Forster et al 2007). 
</p>

<p>
<i>CO<sub>2</sub></i>, <i>CH<sub>4</sub></i>, <i>N<sub>2</sub>O</i> 
and halocarbons are long-lived gases that remain in the atmosphere 
for decades if not centuries. Their geographical distribution is thus quite homogenous, 
with only small differences between the two hemispheres. Other greenhouse gases such 
as <i>O<sub>3</sub></i> (<a href="glossary_o.xml#ozone">ozone</a>) 
have a shorter life. As a consequence, their concentration, and thus 
the associated radiative forcing, tend to be higher close to areas where there are 
produced, and lower near areas where they are destroyed. 
<a href="glossary_t.html#troposphere">Tropospheric</a> ozone is 
mainly formed through photochemical reactions driven by the emission of various 
nitrous oxides, carbon monoxide and some volatile organic compounds. Globally, 
the impact of the increase in its concentration is estimated to induce a 
radiative forcing around 0.35 Wm<sup>-2</sup>. However, the forcing is higher close 
to industrial regions, where the gases leading to ozone production are released. 
By contrast, <a href="glossary_s.xml#stratosphere">stratospheric</a> 
ozone has decreased since pre-industrial time, leading 
to a globally average radiative forcing of -0.05 Wm<sup>-2</sup>. The stratospheric ozone 
changes are particularly large in polar regions, as the reactions responsible 
for the destruction of ozone in the presence of some chemical compounds (such as 
<a href="glossary_c.xml#chlorofluorocarbons">chlorofluorocarbons</a>) 
are more efficient at low temperatures. The largest decrease 
is observed over the high latitudes of the Southern Hemisphere. There, the famous 
ozone hole, discovered in the mid 1980's, is a large region of the stratosphere 
where about half the ozone disappears in spring. Because of the Montreal 
Protocol which bans the use of chlorofluorocarbons, the concentration of 
these gases in the atmosphere is no longer increasing, and may even be 
decreasing slowly.  However ozone recovery in the stratosphere is not yet clear. 
</p>           







            <hr />
            <div id="arbo2" class="navigation">
              <!--Navigation Panel-->
              <a href="chapter4_node3_2.html"><img align="bottom" border="0" alt="Next" src=
              "./images/next.gif" /></a>&#160;<a href="chapter4_node3_0.html"><img align="bottom" border=
              "0" alt="Up" src="./images/up.gif" /></a>&#160;<a href="chapter4_node3_0.html"><img align=
              "bottom" border="0" alt="Previous" src="./images/prev.gif" /></a><br />
              <b>Next:</b>&#160;<a href="chapter4_node3_2.html">4.1.2.2 Aerosols </a><b>Up:</b>&#160;
              <a href="chapter4_node3_0.html">4.1.2 Major radiative forcings </a><b>Previous:</b>&#160;
              <a href="chapter4_node3_0.html">4.1.2 Major radiative forcings </a><br />
              <br />
            </div><!--End of Navigation Panel-->
          </div>
        </div>
      </div>    </div>
    <div id="footer">
      <p>
        <a rel="license" href="http://creativecommons.org/licenses/by-nc/3.0/" target="_blank">� The authors 2008</a> - <a href="http://www.uclouvain.be/">Universite catholique de Louvain</a> - <a href=
        "http://www.graphiques-kits.com" title=
        "Des kits graphiques professionnels gratuits !">Design par Graphiques-Kits</a> - <a href="mailto:hugues.goosse@uclouvain.be">Email for Corrections and Suggestions</a>
      </p>
    </div>
  </body>
</html>
