A zero-dimensional climate-vegetation model containing global carbon and hydrological cycle <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> <link rel="stylesheet" href="pik_neu.css" type="text/css"> </head> <body bgcolor="#FFFFFF" text="#000000" leftmargin="0" topmargin="0" marginwidth="0" marginheight="0" > <table width="101%" border="0" cellspacing="0" cellpadding="0" align="left" name="layout" > <tr> <td rowspan="3" align="left" valign="top"> <img src="images/spacer.gif" width="1" height="1"></td> <td align="left" valign="top" height="108"> <table width="521" border="0" cellpadding="0" cellspacing="0" name="header" height="108"> <tr> <td align="left" valign="top"><img src="images/spacer.gif" width="20" height="5"></td> <td align="left" valign="top"><img src="images/spacer.gif" width="85" height="5"></td> <td align="left" valign="top"><img src="images/spacer.gif" width="20" height="5"></td> <td align="left" valign="top"><img src="images/spacer.gif" width="313" height="5"></td> <td align="left" valign="top"> </td> </tr> <tr> <td align="left" valign="top"></td> <td align="left" valign="top" colspan="4"></td> </tr> <tr> <td align="left" valign="top"><img src="images/spacer.gif" width="20" height="10"></td> <td align="left" valign="bottom"> </td> <td align="left" valign="bottom"> </td> <td align="left" valign="bottom" class="singleline"> </td> <td align="left" valign="top" rowspan="3"><a href="http://www.pik-potsdam.de"><img src="images/logo.gif" width="82" height="82" border="0"></a></td> </tr> <tr> <td align="left" valign="top"><img src="images/spacer.gif" width="20" height="24"></td> <td align="left" valign="top" colspan="3"> </td> </tr> <tr> <td align="left" valign="top"><img src="images/spacer.gif" width="20" height="64"></td> <td colspan="3" align="left" valign="top"><a href="http://www.pik-potsdam.de/"><img src="images/titel.gif" width="418" height="40" border="0"></a></td> </tr> </table> </td> </tr> <tr> <td align="left" valign="top"> <table width="92%" border="0" cellpadding="0" cellspacing="0" name="content" > <tr valign="top"> <td align="left"><img src="images/spacer.gif" width="20" height="1"></td> <td align="left"><img src="images/spacer.gif" width="235" height="5"></td> <td align="left" width="100%"><img src="images/spacer.gif" width="135" height="5"></td> <td align="left"><img src="images/spacer.gif" width="40" height="20"></td> <td align="left"><img src="images/spacer.gif" width="180" height="1"></td> <td align="left"> </td> </tr> <tr> <td align="left" valign="top"> </td> <td align="left" valign="bottom" colspan="2"><span class="header_page">Werner von Bloh </span><br> <img src="images/orange.gif" width="100%" height="1"></td> <td align="left" valign="bottom"><img src="images/orange.gif" width="40" height="1"></td> <td align="left" valign="bottom"><img src="images/orange.gif" width="180" height="1"></td> </tr> <tr> <td align="left" valign="top"><img src="images/spacer.gif" width="20" height="44"></td> <td align="left" valign="bottom" colspan="2" height="3"> <span class="header"> A zero-dimensional climate-vegetation model containing global carbon and hydrological cycle </span> </td> <td align="left" valign="top" rowspan="2"> </td> <td align="left" valign="top" rowspan="2" class="body"> <p><br><a href="../homepage/welcome.html">Werner von Bloh</a><img src="images/home2.gif" width="15" height="13"><br> <img src="images/purple.gif" width="180" height="1" vspace="3"><br> <a href="../homepage/welcome.html#projects">Projects involved</a><br> <img src="images/purple.gif" width="180" height="1" vspace="3"><br> <a href="../homepage/teaching">Teaching</a><br> <img src="images/purple.gif" width="180" height="1" vspace="3"><br> <a href="welcome.html">Publications</a><br> <img src="images/purple.gif" width="180" height="1" vspace="3"><br> <a href="../homepage/cv.html">Curriculum Vitae</a><br> <img src="images/purple.gif" width="180" height="1" vspace="3"><br> <a href="../parallel.html">Parallel programming</a><br> <img src="images/purple.gif" width="180" height="1" vspace="3"><br> <a href="../intranet">My intranet pages</a><br> <img src="images/purple.gif" width="180" height="1" vspace="3"><br> <a href="../mpeg">Animations</a><br> <img src="images/purple.gif" width="180" height="1" vspace="3"><br> <a href="../extern.html">External links</a><br> <img src="images/purple.gif" width="180" height="1" vspace="3"><br> </p></td> </tr> <tr align="left" valign="top"> <td> </td> <td colspan="2"><p><br>  <p class=body>Y. M. Svirezhev and <A HREF="../homepage">W. von Bloh</A><br><br> <I>Ecological Modelling 106, 119-127 (1998)</I> </P> <P class=body><A HREF="http://www.pik-potsdam.de">Potsdam Institute for Climate Impact Research</A> (PIK), Telegrafenberg, P.O. Box 60 12 03, 14412 Potsdam, Germany.</p> <p> <span class="header"><A NAME="part1">Abstract</A><br> <img src="images/purple.gif" width="100%" height="1"></span></p> <P class=body> A model of a hypothetical zero-dimensional planet containing a global carbon cycle, which describes the fundamental interaction between climate and biosphere, is used as a basis to formulate a new model incorporating a hydrological cycle. Using the conservation law for carbon and water in the system the number of differential equations is thereby reduced by two from five to three. The number and positions of the stable equilibria in the three-dimensional phase space is determined using numerical methods. This number is related to the value of the maximum productivity <I>P</I><sub>max</sub>, the total amount of carbon <I>A</I> and water <I>B</I> in the system as bifurcation parameters of the system. </p> <p class=body><I>Keywords</I>: Minimal model, biosphere, carbon cycle, hydrological cycle</p> </td> </tr> <tr align="left" valign="top"> <td> </td> <td class="body" colspan="2"> <p><br> </p></td> <td class="body"> </td> <td class="body"> </td> </tr> <tr align="left" valign="top"> <td> </td> <td class="body" colspan="2"> </td> <td class="body"> </td> <td class="body"> </td> </tr> </table> </td> </tr> <tr> <td align="left" valign="bottom"> <table width="500" border="0" cellspacing="0" cellpadding="0"> <tr align="left" valign="top"> <td><img src="images/spacer.gif" width="20" height="1"></td> <td><img src="images/spacer.gif" width="140" height="1"></td> <td> </td> <td><img src="images/spacer.gif" width="400" height="1"></td> </tr> <tr> <td> </td> <td class="body"><a href="http://www.pik-potsdam.de/impressum">Impressum © PIK 2006</a></td> <td> </td> <td class="body"> </td> </tr> </table> </td> </tr> </table> </body> </html>