(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 13364884, 338208]*) (*NotebookOutlinePosition[ 13365667, 338236]*) (* CellTagsIndexPosition[ 13365623, 338232]*) (*WindowFrame->Normal*) Notebook[{ Cell["\<\ This notebook accompanies the paper, \"A Model of Flexible Uptake \ of Two Essential Resources\" by C.A. Klausmeier, E. Litchman, and S.A. 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QminN\ RinP\ vmaxN\[Prime]\ vmaxP\[Prime] - 2\ m\ QminP\ RinN\ vmaxN\[Prime]\ vmaxP\[Prime]\ \[Mu]\ \[Infinity] + 2\ m\ QminN\ RinP\ vmaxN\[Prime]\ vmaxP\[Prime]\ \[Mu]\ \[Infinity] + QminP\ RinN\ vmaxN\[Prime]\ vmaxP\[Prime]\ \[Mu]\ \[Infinity]\^2 - QminN\ RinP\ vmaxN\[Prime]\ vmaxP\[Prime]\ \[Mu]\ \[Infinity]\^2)\))\)}, {AP \[Rule] \((m\^2\ QminP\ RinN\ vmaxN\[Prime]\ vmaxP\ \[Prime] - m\^2\ QminN\ RinP\ vmaxN\[Prime]\ vmaxP\[Prime] + KP\ m\^2\ QminN\ QminP\ vmaxN\[Prime]\ \[Mu]\[Infinity] - m\^2\ QminP\^2\ RinN\ vmaxN\[Prime]\ \[Mu]\[Infinity] + m\^2\ QminN\ QminP\ RinP\ vmaxN\[Prime]\ \[Mu]\[Infinity] + KN\ m\^2\ QminN\ QminP\ vmaxP\[Prime]\ \[Mu]\[Infinity] + m\^2\ QminN\ QminP\ RinN\ vmaxP\[Prime]\ \[Mu]\[Infinity] - m\^2\ QminN\^2\ RinP\ vmaxP\[Prime]\ \[Mu]\[Infinity] - 2\ m\ QminP\ RinN\ vmaxN\[Prime]\ vmaxP\[Prime]\ \[Mu]\ \[Infinity] + 2\ m\ QminN\ RinP\ vmaxN\[Prime]\ vmaxP\[Prime]\ \[Mu]\ \[Infinity] - KP\ m\ QminN\ QminP\ vmaxN\[Prime]\ \[Mu]\[Infinity]\^2 + m\ QminP\^2\ 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%%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (t) show 69.000 13.000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .02381 .09621 m .03006 .09621 L s gsave .01131 .09621 -28.5 -4.25 Mabsadd m 1 1 Mabs scale /Courier findfont 10 scalefont setfont (5) show /Math1Mono findfont 10 scalefont setfont (\\264) show /Courier findfont 10 scalefont setfont (10) show 0 5.25 rmoveto /Courier findfont 7.5 scalefont setfont (7) show grestore .02381 .17771 m .03006 .17771 L s gsave .01131 .17771 -28.5 -4.25 Mabsadd m 1 1 Mabs scale /Courier findfont 10 scalefont setfont (1) show /Math1Mono findfont 10 scalefont setfont (\\264) show /Courier findfont 10 scalefont setfont (10) show 0 5.25 rmoveto /Courier findfont 7.5 scalefont setfont (8) show grestore .02381 .2592 m .03006 .2592 L s gsave .01131 .2592 -40.5 -4.25 Mabsadd m 1 1 Mabs scale /Courier findfont 10 scalefont setfont (1.5) show /Math1Mono findfont 10 scalefont setfont (\\264) show /Courier findfont 10 scalefont setfont (10) show 0 5.25 rmoveto /Courier findfont 7.5 scalefont setfont (8) show grestore .02381 .3407 m .03006 .3407 L s gsave .01131 .3407 -28.5 -4.25 Mabsadd m 1 1 Mabs scale /Courier findfont 10 scalefont setfont (2) show /Math1Mono findfont 10 scalefont setfont (\\264) show /Courier findfont 10 scalefont setfont (10) show 0 5.25 rmoveto /Courier findfont 7.5 scalefont setfont (8) show grestore .02381 .42219 m .03006 .42219 L s gsave .01131 .42219 -40.5 -4.25 Mabsadd m 1 1 Mabs scale /Courier findfont 10 scalefont setfont (2.5) show /Math1Mono 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