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      Introduction to climate dynamics and climate modelling - The oceanic carbon cycle
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                <a href="index.html">Introduction to climate dynamics and climate modelling</a>
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              <b>Next:</b>&#160;<a name="tex2html170" href="chapter2_node12_1.xml" id="tex2html170">2.3.2.1 Inorganic carbon              
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            <h2>
              2.3.2 The oceanic carbon
              cycle
            </h2>
            <p>
              A flux of <i>CO</i><sub>2</sub> between the ocean and the
              atmosphere occurs when the <i>CO</i><sub>2</sub> content of
              the ocean surface is not in equilibrium with the atmospheric concentration. The flux <span class="MATH">
            <math xmlns="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mi>&#x03A6;</mi></math><sup>CO<sub>2</sub>
</sup></span> from the ocean to the atmosphere is proportional to
              this imbalance and can be computed as a function of the difference in partial
              pressure <i>p</i><sup>CO<sub>2</sub></sup> between the two
              media:
            </p>
            <div class="mathdisplay c1">
              <a name="eq:reac" id="eq:reac"></a><!-- MATH
 \begin{equation}
\Phi ^{_{CO_{2} } } =k^{CO_{2} } \left(p_{W}^{CO_{2} } -p_{A}^{CO_{2} } \right)
\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" display="block" 
                    overflow="scroll"><msup><mi>&#x03A6;</mi><msub><mrow/><mrow><mi>C</mi><msub>
                    <mi>O</mi><mn>2</mn></msub></mrow></msub></msup><mo>=</mo><msup><mi>k</mi>
                    <mrow><mi>C</mi><msub><mi>O</mi><mn>2</mn></msub></mrow></msup><mfenced 
                    close=")" open="(" separators=""><msubsup><mi>p</mi><mi>W</mi><mrow><mi>C</mi>
                    <msub><mi>O</mi><mn>2</mn></msub></mrow></msubsup><mo>-</mo><msubsup><mi>p</mi>
                    <mi>A</mi><mrow><mi>C</mi><msub><mi>O</mi><mn>2</mn></msub></mrow></msubsup>
                    </mfenced><mspace linebreak="newline"/></math>
                  </td>
                  <td nowrap="nowrap" class="eqno" width="10" align="right">
                    (<span class="arabic">2</span>.<span class="arabic">38</span>)
                  </td>
                </tr>
              </table>
            </div>
            <p>
              where the subscripts <i>A</i> and <i>W</i>
              refer to air and water, respectively. <i>k</i><sup>CO<sub>2</sub></sup> is a transfer coefficient which is
              strongly dependent of the wind velocity. At equilibrium, 
              
<math xmlns="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<msubsup><mi>p</mi><mi>W</mi><mrow><mi>C</mi><msub><mi>O</mi><mn>2</mn></msub>
</mrow></msubsup></math>

             is obviously
              equal to <math xmlns="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<msubsup><mi>p</mi><mi>A</mi><mrow><mi>C</mi><msub><mi>O</mi><mn>2</mn></msub>
</mrow></msubsup></math>.
            </p>
            <p>
              As the surface <i>CO</i><sub>2</sub> concentration in the atmosphere is 
              nearly homogenous, the repartition of the flux mainly depends on the oceanic 
              <i>p</i><sup>CO<sub>2</sub></sup>. Supersaturated zones,
              where the partial pressure of <i>CO</i><sub>2</sub> in sea water is higher than in the air, have a
              positive flux from the ocean to the atmosphere. In present-day conditions, 
              this occurs in tropical regions, particularly in the eastern equatorial Pacific 
              (Fig. <a href="#image074">2.25</a>). On the other hand, undersaturated areas, such as the mid to high
              latitudes around <!-- MATH
 $40^\circ - 60^\circ$
 -->
               40<sup><tt>o</tt></sup> -60<sup><tt>o</tt></sup> in both
              hemispheres (except the Northern Pacific), display <i>CO</i><sub>2</sub> fluxes from the atmosphere to the ocean, i.e. an
              uptake of <i>CO</i><sub>2</sub> from the atmosphere.
            </p>
            <div align="center">
              <a name="image074" id="image074"></a><a name="662"></a>
              <table>
                <caption align="bottom"><p align="center">
<strong>Figure 2.25:</strong> Estimates of sea-to-air flux of <span class= 
"MATH"><i>CO</i><sub>2</sub></span>. Figure 7.8 from <a class="ref" href="chapter2_node16.html">Denman et al. (2007)</a>, based on the work 
of T. Takahashi, available at <a 
href="http://www.ldeo.columbia.edu/res/pi/CO2/carbondioxide/pages/air_sea_flux_rev1.html">
http://www.ldeo.columbia.edu/res/pi/CO2/carbondioxide/pages/air_sea_flux_rev1.html</a>, 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>

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                <a name="tex2html671" href="chapter2_node12_1.xml" id="tex2html651">2.3.2.1 Inorganic carbon cycle</a>
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