A minimal model of interaction between climate and vegetation: qualitative approach <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 minimal model of interaction between climate and vegetation: qualitative approach</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 92, 89-99 (1996)</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, D-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 so-called "minimal model" is presented for the qualitative description of the interaction between climate and vegetation. Such conceptual models are important to give a better understanding of the fundamental feedback mechanisms acting between geo- and biosphere. The spatially one-dimensional model is analyzed in respect to the uniform biosphere and the existence of possible diffusive instabilities. It is proved that there do not exist any non-uniform equilibrium solutions, but the evolution of non-uniform initial pertubations is quite interesting: depenbing on the spatial form of the perturbations propagating non-linear waves are observed. </p> <p class=body><I>Keywords</I>: Climate, vegetation, minimal models, nonlinear waves, stability</p> <P class=body> Full text of article as a <A HREF="svirezhev96">HTML-document</A>.</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>