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class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Exponential growth based on a constant rate</div> <p>A <b>Malthusian growth model</b>, sometimes called a <b>simple exponential</b> growth model, is essentially <a href="/wiki/Exponential_growth" title="Exponential growth">exponential growth</a> based on the idea of the function being proportional to the speed to which the function grows. The model is named after <a href="/wiki/Thomas_Robert_Malthus" title="Thomas Robert Malthus">Thomas Robert Malthus</a>, who wrote <i><a href="/wiki/An_Essay_on_the_Principle_of_Population" title="An Essay on the Principle of Population">An Essay on the Principle of Population</a></i> (1798), one of the earliest and most influential books on <a href="/wiki/Population" title="Population">population</a>.<sup id="cite_ref-malthus_1-0" class="reference"><a href="#cite_note-malthus-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>Malthusian models have the following form: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P(t)=P_{0}e^{rt}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> <mi>t</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(t)=P_{0}e^{rt}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/614cb210863245b47b246c78f0246122c938566e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.69ex; height:3.009ex;" alt="{\displaystyle P(t)=P_{0}e^{rt}}"></span></dd></dl> <p>where </p> <ul><li><i>P</i><sub>0</sub> = <i>P</i>(0) is the initial population size,</li> <li><i>r</i> = the population growth rate, which <a href="/wiki/Ronald_Fisher" title="Ronald Fisher">Ronald Fisher</a> called the <i>Malthusian parameter of population growth</i> in <a href="/wiki/The_Genetical_Theory_of_Natural_Selection" title="The Genetical Theory of Natural Selection">The Genetical Theory of Natural Selection</a>,<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> and <a href="/wiki/Alfred_J._Lotka" title="Alfred J. Lotka">Alfred J. Lotka</a> called the <i>intrinsic rate of increase</i>,<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup></li> <li><i>t</i> = time.</li></ul> <p>The model can also be written in the form of a differential equation: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dP}{dt}}=rP}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>P</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mi>r</mi> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dP}{dt}}=rP}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/905b82771ea1cf6786dcd4d6db7c64e4571d3452" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:9.69ex; height:5.509ex;" alt="{\displaystyle {\frac {dP}{dt}}=rP}"></span></dd></dl> <p>with initial condition: P(0)= P<sub>0</sub> </p><p>This model is often referred to as the <i>exponential law</i>.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> It is widely regarded in the field of <a href="/wiki/Population_ecology" title="Population ecology">population ecology</a> as the <a href="/wiki/First_principle" title="First principle">first principle</a> of <a href="/wiki/Population_dynamics" title="Population dynamics">population dynamics</a>,<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> with <a href="/wiki/Malthus" class="mw-redirect" title="Malthus">Malthus</a> as the founder. The exponential law is therefore also sometimes referred to as the <i>Malthusian Law</i>.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> By now, it is a widely accepted view to analogize Malthusian growth in Ecology to <a href="/wiki/Newton%27s_First_Law" class="mw-redirect" title="Newton's First Law">Newton's First Law of uniform motion</a> in physics.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </p><p>Malthus wrote that all life forms, including humans, have a propensity to exponential population growth when resources are abundant but that actual growth is limited by available resources: </p> <style data-mw-deduplicate="TemplateStyles:r1244412712">.mw-parser-output .templatequote{overflow:hidden;margin:1em 0;padding:0 32px}.mw-parser-output .templatequotecite{line-height:1.5em;text-align:left;margin-top:0}@media(min-width:500px){.mw-parser-output .templatequotecite{padding-left:1.6em}}</style><blockquote class="templatequote"><p>"Through the animal and vegetable kingdoms, nature has scattered the seeds of life abroad with the most profuse and liberal hand.<span class="nowrap"> </span>... The germs of existence contained in this spot of earth, with ample food, and ample room to expand in, would fill millions of worlds in the course of a few thousand years. Necessity, that imperious all pervading law of nature, restrains them within the prescribed bounds. The race of plants, and the race of animals shrink under this great restrictive law. And the race of man cannot, by any efforts of reason, escape from it. Among plants and animals its effects are waste of seed, sickness, and premature death. Among mankind, misery and vice. "</p><div class="templatequotecite">— <cite>Thomas Malthus, 1798. <i><a href="/wiki/An_Essay_on_the_Principle_of_Population" title="An Essay on the Principle of Population">An Essay on the Principle of Population</a></i>. Chapter I.</cite></div></blockquote> <p>A model of population growth bounded by resource limitations was developed by <a href="/wiki/Pierre_Francois_Verhulst" class="mw-redirect" title="Pierre Francois Verhulst">Pierre Francois Verhulst</a> in 1838, after he had read Malthus' essay. Verhulst named the model a <a href="/wiki/Logistic_function" title="Logistic function">logistic function</a>. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Malthusian_growth_model&action=edit&section=1" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Logistic_function" title="Logistic function">Logistic function</a> for the mathematical model used in <a href="/wiki/Population_dynamics" title="Population dynamics">Population dynamics</a> that adjusts growth rate based on how close it is to the maximum a system can support</li> <li><a href="/wiki/Albert_Allen_Bartlett" title="Albert Allen Bartlett">Albert Allen Bartlett</a> – a leading proponent of the Malthusian Growth Model</li> <li><a href="/wiki/Exogenous_growth_model" class="mw-redirect" title="Exogenous growth model">Exogenous growth model</a> – related growth model from <a href="/wiki/Economics" title="Economics">economics</a></li> <li><a href="/wiki/Growth_theory" class="mw-redirect" title="Growth theory">Growth theory</a> – related ideas from <a href="/wiki/Economics" title="Economics">economics</a></li> <li><a href="/wiki/Human_overpopulation" title="Human overpopulation">Human overpopulation</a></li> <li><a href="/wiki/Irruptive_growth" title="Irruptive growth">Irruptive growth</a> – an extension of the Malthusian model accounting for population explosions and crashes</li> <li><a href="/wiki/Malthusian_catastrophe" class="mw-redirect" title="Malthusian catastrophe">Malthusian catastrophe</a></li> <li><a href="/wiki/Neo-malthusianism" class="mw-redirect" title="Neo-malthusianism">Neo-malthusianism</a></li> <li><a href="/wiki/The_Genetical_Theory_of_Natural_Selection" title="The Genetical Theory of Natural Selection">The Genetical Theory of Natural Selection</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Malthusian_growth_model&action=edit&section=2" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-malthus-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-malthus_1-0">^</a></b></span> <span class="reference-text">"Malthus, An Essay on the Principle of Population: Library of Economics"</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFFisher,_Ronald_Aylmer,_Sir,_1890-1962.1999" class="citation book cs1">Fisher, Ronald Aylmer, Sir, 1890-1962. (1999). <i>The genetical theory of natural selection</i> (A complete variorum ed.). Oxford: Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-19-850440-3" title="Special:BookSources/0-19-850440-3"><bdi>0-19-850440-3</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/45308589">45308589</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+genetical+theory+of+natural+selection&rft.place=Oxford&rft.edition=A+complete+variorum&rft.pub=Oxford+University+Press&rft.date=1999&rft_id=info%3Aoclcnum%2F45308589&rft.isbn=0-19-850440-3&rft.au=Fisher%2C+Ronald+Aylmer%2C+Sir%2C+1890-1962.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMalthusian+growth+model" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_book" title="Template:Cite book">cite book</a>}}</code>: CS1 maint: multiple names: authors list (<a href="/wiki/Category:CS1_maint:_multiple_names:_authors_list" title="Category:CS1 maint: multiple names: authors list">link</a>) CS1 maint: numeric names: authors list (<a href="/wiki/Category:CS1_maint:_numeric_names:_authors_list" title="Category:CS1 maint: numeric names: authors list">link</a>)</span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLotka,_Alfred_J._(Alfred_James),_1880-1949.2013" class="citation book cs1">Lotka, Alfred J. (Alfred James), 1880-1949. (2013-06-29). <i>Analytical theory of biological populations</i>. New York. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-4757-9176-1" title="Special:BookSources/978-1-4757-9176-1"><bdi>978-1-4757-9176-1</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/861705456">861705456</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Analytical+theory+of+biological+populations&rft.place=New+York&rft.date=2013-06-29&rft_id=info%3Aoclcnum%2F861705456&rft.isbn=978-1-4757-9176-1&rft.au=Lotka%2C+Alfred+J.+%28Alfred+James%29%2C+1880-1949.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMalthusian+growth+model" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_book" title="Template:Cite book">cite book</a>}}</code>: CS1 maint: location missing publisher (<a href="/wiki/Category:CS1_maint:_location_missing_publisher" title="Category:CS1 maint: location missing publisher">link</a>) CS1 maint: multiple names: authors list (<a href="/wiki/Category:CS1_maint:_multiple_names:_authors_list" title="Category:CS1 maint: multiple names: authors list">link</a>) CS1 maint: numeric names: authors list (<a href="/wiki/Category:CS1_maint:_numeric_names:_authors_list" title="Category:CS1 maint: numeric names: authors list">link</a>)</span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLotka,_Alfred_J.1934" class="citation book cs1">Lotka, Alfred J. (1934). <i>Théorie analytique des associations biologiques</i>. Hermann. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/614057604">614057604</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Th%C3%A9orie+analytique+des+associations+biologiques&rft.pub=Hermann&rft.date=1934&rft_id=info%3Aoclcnum%2F614057604&rft.au=Lotka%2C+Alfred+J.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMalthusian+growth+model" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text">Turchin, P. "Complex population dynamics: a theoretical/empirical synthesis" Princeton <a rel="nofollow" class="external text" href="http://press.princeton.edu/chapters/s7436.html">online</a></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTurchin2001" class="citation journal cs1">Turchin, Peter (2001). "Does population ecology have general laws?". <i>Oikos</i>. <b>94</b>: <span class="nowrap">17–</span>26. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1034%2Fj.1600-0706.2001.11310.x">10.1034/j.1600-0706.2001.11310.x</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Oikos&rft.atitle=Does+population+ecology+have+general+laws%3F&rft.volume=94&rft.pages=%3Cspan+class%3D%22nowrap%22%3E17-%3C%2Fspan%3E26&rft.date=2001&rft_id=info%3Adoi%2F10.1034%2Fj.1600-0706.2001.11310.x&rft.aulast=Turchin&rft.aufirst=Peter&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMalthusian+growth+model" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text">Paul Haemig, "Laws of Population Ecology", 2005</span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGinzburg1986" class="citation journal cs1">Ginzburg, Lev R. (1986). "The theory of population dynamics: I. Back to first principles". <i>Journal of Theoretical Biology</i>. <b>122</b> (4): <span class="nowrap">385–</span>399. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1986JThBi.122..385G">1986JThBi.122..385G</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fs0022-5193%2886%2980180-1">10.1016/s0022-5193(86)80180-1</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Theoretical+Biology&rft.atitle=The+theory+of+population+dynamics%3A+I.+Back+to+first+principles&rft.volume=122&rft.issue=4&rft.pages=%3Cspan+class%3D%22nowrap%22%3E385-%3C%2Fspan%3E399&rft.date=1986&rft_id=info%3Adoi%2F10.1016%2Fs0022-5193%2886%2980180-1&rft_id=info%3Abibcode%2F1986JThBi.122..385G&rft.aulast=Ginzburg&rft.aufirst=Lev+R.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMalthusian+growth+model" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Malthusian_growth_model&action=edit&section=3" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.stolaf.edu/people/mckelvey/envision.dir/malthus.html">Malthusian Growth Model</a> from Steve McKelvey, Department of Mathematics, Saint Olaf College, Northfield, Minnesota</li> <li><a rel="nofollow" class="external text" href="http://www.stolaf.edu/people/mckelvey/envision.dir/logistic.html">Logistic Model</a> from Steve McKelvey, Department of Mathematics, Saint Olaf College, Northfield, Minnesota</li> <li><a rel="nofollow" class="external text" href="http://www.ecology.info/laws-population-ecology.htm">Laws Of Population Ecology</a> Dr. Paul D. Haemig</li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20111209182908/http://entomology.wsu.edu/personal/alan_berryman/Berryman(3)Principles.pdf">On principles, laws and theory of population ecology</a> Professor of Entomology, Alan Berryman, Washington State University</li> <li><a rel="nofollow" class="external text" href="http://urss.ru/cgi-bin/db.pl?cp=&lang=en&blang=en&list=14&page=Book&id=34250">Introduction to Social Macrodynamics</a> Professor <a href="/wiki/Andrey_Korotayev" title="Andrey Korotayev">Andrey Korotayev</a></li> <li><a rel="nofollow" class="external text" href="http://www.colyvan.com/book2.html">Ecological Orbits</a> Lev Ginzburg, Mark Colyvan</li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist 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ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Population" title="Template:Population"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Population" title="Template talk:Population"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Population" title="Special:EditPage/Template:Population"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Population682" style="font-size:114%;margin:0 4em"><a href="/wiki/Population" title="Population">Population</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Major topics</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Demographics_of_the_world" title="Demographics of the world">Demographics of the world</a></li> <li><a href="/wiki/Demographic_transition" title="Demographic transition">Demographic transition</a></li> <li><a href="/wiki/Estimates_of_historical_world_population" title="Estimates of historical world population">Estimates of historical world population</a></li> <li><a href="/wiki/Population_growth" title="Population growth">Population growth</a></li> <li><a href="/wiki/Population_momentum" title="Population momentum">Population momentum</a></li> <li><a href="/wiki/Projections_of_population_growth" class="mw-redirect" title="Projections of population growth">Projections of population growth</a></li> <li><a href="/wiki/World_population" title="World population">World population</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;"><a href="/wiki/Population_biology" title="Population biology">Population<br />biology</a></div></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Population_decline" title="Population decline">Population decline</a></li> <li><a href="/wiki/Population_density" title="Population density">Population density</a> <ul><li><a href="/wiki/Physiological_density" title="Physiological density">Physiological density</a></li></ul></li> <li><a href="/wiki/Population_dynamics" title="Population dynamics">Population dynamics</a></li> <li><a href="/wiki/Population_model" title="Population model">Population model</a></li> <li><a href="/wiki/Population_pyramid" title="Population pyramid">Population pyramid</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;"><a href="/wiki/Population_ecology" title="Population ecology">Population<br />ecology</a></div></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Biocapacity" title="Biocapacity">Biocapacity</a></li> <li><a href="/wiki/Carrying_capacity" title="Carrying capacity">Carrying capacity</a></li> <li><span class="nowrap"><a href="/wiki/I_%3D_PAT" title="I = PAT">I = P × A × T</a></span></li> <li><a href="/wiki/Kaya_identity" title="Kaya identity">Kaya identity</a></li> <li><a class="mw-selflink selflink">Malthusian growth model</a></li> <li><a href="/wiki/Overshoot_(population)" title="Overshoot (population)">Overshoot (population)</a></li> <li><a href="/wiki/World3" title="World3">World3 model</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Society and<br /> population</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Eugenics" title="Eugenics">Eugenics</a></li> <li><a href="/wiki/Dysgenics" title="Dysgenics"><i>Dys</i>genics</a></li> <li><a href="/wiki/Human_overpopulation" title="Human overpopulation">Human overpopulation</a> <ul><li><a href="/wiki/Malthusianism" title="Malthusianism">Malthusian catastrophe</a></li></ul></li> <li><a href="/wiki/Human_population_planning" title="Human population planning">Human population planning</a> <ul><li><a href="/wiki/Compulsory_sterilization" title="Compulsory sterilization">Compulsory sterilization</a></li> <li><a href="/wiki/Family_planning" title="Family planning">Family planning</a></li> <li><a href="/wiki/One-child_policy" title="One-child policy">One-child policy</a></li> <li><a href="/wiki/Two-child_policy" title="Two-child policy">Two-child policy</a></li></ul></li> <li><a href="/wiki/Overconsumption_(economics)" title="Overconsumption (economics)">Overconsumption</a></li> <li><a href="/wiki/Political_demography" title="Political demography">Political demography</a></li> <li><a href="/wiki/Population_ethics" title="Population ethics">Population ethics</a> <ul><li><a href="/wiki/Antinatalism" title="Antinatalism">Antinatalism</a></li> <li><a href="/wiki/Mere_addition_paradox" title="Mere addition paradox">Mere addition paradox</a></li> <li><a href="/wiki/Natalism" title="Natalism">Natalism</a></li> <li><a href="/wiki/Non-identity_problem" class="mw-redirect" title="Non-identity problem">Non-identity problem</a></li> <li><a href="/wiki/Reproductive_rights" title="Reproductive rights">Reproductive rights</a></li></ul></li> <li><a href="/wiki/Sustainable_population" title="Sustainable population">Sustainable population</a></li> <li><a href="/wiki/Zero_population_growth" title="Zero population growth">Zero population growth</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Publications</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0;font-style:italic;"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Population_and_Environment" title="Population and Environment">Population and Environment</a></li> <li><a href="/wiki/Population_and_Development_Review" title="Population and Development Review">Population and Development Review</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Lists</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Population_and_housing_censuses_by_country" title="Population and housing censuses by country">Population and housing censuses by country</a></li> <li><a href="/wiki/List_of_largest_cities" title="List of largest cities">Largest cities</a></li> <li><a href="/wiki/World_population_milestones" title="World population milestones">World population milestones</a> <ul><li><a href="/wiki/Day_of_Six_Billion" title="Day of Six Billion">6 billion</a></li> <li><a href="/wiki/Day_of_Seven_Billion" title="Day of Seven Billion">7</a></li> <li><a href="/wiki/Day_of_Eight_Billion" title="Day of Eight Billion">8</a></li></ul></li> <li><a href="/wiki/List_of_population_concern_organizations" title="List of population concern organizations">Population concern organizations</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;">Events and<br />organizations</div></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/7_Billion_Actions" title="7 Billion Actions">7 Billion Actions</a></li> <li><a href="/wiki/Church_of_Euthanasia" title="Church of Euthanasia">Church of Euthanasia</a></li> <li><a href="/wiki/International_Conference_on_Population_and_Development" title="International Conference on Population and Development">International Conference on Population and Development</a></li> <li><a href="/wiki/Population_Action_International" title="Population Action International">Population Action International</a></li> <li><a href="/wiki/Population_Connection" title="Population Connection">Population Connection</a></li> <li><a href="/wiki/Population_Matters" title="Population Matters">Population Matters</a></li> <li><a href="/wiki/United_Nations_Population_Fund" title="United Nations Population Fund">United Nations Population Fund</a></li> <li><a href="/wiki/United_Nations_world_population_conferences" title="United Nations world population conferences">United Nations world population conferences</a></li> <li><a href="/wiki/Voluntary_Human_Extinction_Movement" title="Voluntary Human Extinction Movement">Voluntary Human Extinction Movement</a></li> <li><a href="/wiki/World_Population_Conference" title="World Population Conference">World Population Conference</a></li> <li><a href="/wiki/World_Population_Day" title="World Population Day">World Population Day</a></li> <li><a href="/wiki/World_Population_Foundation" title="World Population Foundation">World Population Foundation</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related topics</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bennett%27s_law" title="Bennett's law">Bennett's law</a></li> <li><a href="/wiki/Green_Revolution" title="Green Revolution">Green Revolution</a></li> <li><a href="/wiki/Human_impact_on_the_environment" title="Human impact on the environment">Human impact on the environment</a></li> <li><a href="/wiki/Human_migration" title="Human migration">Migration</a></li> <li><a href="/wiki/Sustainability" title="Sustainability">Sustainability</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow hlist" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Commons page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span> <b><a href="https://commons.wikimedia.org/wiki/Category:Human_populations" class="extiw" title="commons:Category:Human populations">Commons</a></b></li> <li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Population" title="Category:Population">Category</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Ecology:_Modelling_ecosystems:_Trophic_components279" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Modelling_ecosystems" title="Template:Modelling ecosystems"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Modelling_ecosystems" title="Template talk:Modelling ecosystems"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Modelling_ecosystems" title="Special:EditPage/Template:Modelling ecosystems"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Ecology:_Modelling_ecosystems:_Trophic_components279" style="font-size:114%;margin:0 4em"><a href="/wiki/Ecology" title="Ecology">Ecology</a>: <a href="/wiki/Ecosystem_model" title="Ecosystem model">Modelling ecosystems</a>: <a href="/wiki/Trophic_level" title="Trophic level">Trophic</a> components</div></th></tr><tr><th scope="row" class="navbox-group" style="width:7.5em">General</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Abiotic_component" title="Abiotic component">Abiotic component</a></li> <li><a href="/wiki/Abiotic_stress" title="Abiotic stress">Abiotic stress</a></li> <li><a href="/wiki/Behavioral_ecology" title="Behavioral ecology">Behaviour</a></li> <li><a href="/wiki/Biogeochemical_cycle" title="Biogeochemical cycle">Biogeochemical cycle</a></li> <li><a href="/wiki/Biomass_(ecology)" title="Biomass (ecology)">Biomass</a></li> <li><a href="/wiki/Biotic_component" class="mw-redirect" title="Biotic component">Biotic component</a></li> <li><a href="/wiki/Biotic_stress" title="Biotic stress">Biotic stress</a></li> <li><a href="/wiki/Carrying_capacity" title="Carrying capacity">Carrying capacity</a></li> <li><a href="/wiki/Competition_(biology)" title="Competition (biology)">Competition</a></li> <li><a href="/wiki/Ecosystem" title="Ecosystem">Ecosystem</a></li> <li><a href="/wiki/Ecosystem_ecology" title="Ecosystem ecology">Ecosystem ecology</a></li> <li><a href="/wiki/Ecosystem_model" title="Ecosystem model">Ecosystem model</a></li> <li><a href="/wiki/Green_world_hypothesis" title="Green world hypothesis">Green world hypothesis</a></li> <li><a href="/wiki/Keystone_species" title="Keystone species">Keystone species</a></li> <li><a href="/wiki/List_of_feeding_behaviours" title="List of feeding behaviours">List of feeding behaviours</a></li> <li><a href="/wiki/Metabolic_theory_of_ecology" title="Metabolic theory of ecology">Metabolic theory of ecology</a></li> <li><a href="/wiki/Productivity_(ecology)" title="Productivity (ecology)">Productivity</a></li> <li><a href="/wiki/Resource_(biology)" title="Resource (biology)">Resource</a></li> <li><a href="/wiki/Restoration_ecology" class="mw-redirect" title="Restoration ecology">Restoration</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em"><a href="/wiki/Autotroph" title="Autotroph">Producers</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Autotroph" title="Autotroph">Autotrophs</a></li> <li><a href="/wiki/Chemosynthesis" title="Chemosynthesis">Chemosynthesis</a></li> <li><a href="/wiki/Chemotroph" title="Chemotroph">Chemotrophs</a></li> <li><a href="/wiki/Foundation_species" title="Foundation species">Foundation species</a></li> <li><a href="/wiki/Kinetotroph" title="Kinetotroph">Kinetotrophs</a></li> <li><a href="/wiki/Mixotroph" title="Mixotroph">Mixotrophs</a></li> <li><a href="/wiki/Myco-heterotrophy" title="Myco-heterotrophy">Myco-heterotrophy</a></li> <li><a href="/wiki/Mycotroph" title="Mycotroph">Mycotroph</a></li> <li><a href="/wiki/Organotroph" title="Organotroph">Organotrophs</a></li> <li><a href="/wiki/Photoheterotroph" title="Photoheterotroph">Photoheterotrophs</a></li> <li><a href="/wiki/Photosynthesis" title="Photosynthesis">Photosynthesis</a></li> <li><a href="/wiki/Photosynthetic_efficiency" title="Photosynthetic efficiency">Photosynthetic efficiency</a></li> <li><a href="/wiki/Phototroph" title="Phototroph">Phototrophs</a></li> <li><a href="/wiki/Primary_nutritional_groups" title="Primary nutritional groups">Primary nutritional groups</a></li> <li><a href="/wiki/Primary_production" title="Primary production">Primary production</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em"><a href="/wiki/Consumer_(food_chain)" title="Consumer (food chain)">Consumers</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Apex_predator" title="Apex predator">Apex predator</a></li> <li><a href="/wiki/Bacterivore" title="Bacterivore">Bacterivore</a></li> <li><a href="/wiki/Carnivore" title="Carnivore">Carnivores</a></li> <li><a href="/wiki/Chemoorganotroph" class="mw-redirect" title="Chemoorganotroph">Chemoorganotroph</a></li> <li><a href="/wiki/Foraging" title="Foraging">Foraging</a></li> <li><a href="/wiki/Generalist_and_specialist_species" title="Generalist and specialist species">Generalist and specialist species</a></li> <li><a href="/wiki/Intraguild_predation" title="Intraguild predation">Intraguild predation</a></li> <li><a href="/wiki/Herbivore" title="Herbivore">Herbivores</a></li> <li><a href="/wiki/Heterotroph" title="Heterotroph">Heterotroph</a></li> <li><a href="/wiki/Heterotrophic_nutrition" title="Heterotrophic nutrition">Heterotrophic nutrition</a></li> <li><a href="/wiki/Insectivore" title="Insectivore">Insectivore</a></li> <li><a href="/wiki/Mesopredator" title="Mesopredator">Mesopredators</a></li> <li><a href="/wiki/Mesopredator_release_hypothesis" title="Mesopredator release hypothesis">Mesopredator release hypothesis</a></li> <li><a href="/wiki/Omnivore" title="Omnivore">Omnivores</a></li> <li><a href="/wiki/Optimal_foraging_theory" title="Optimal foraging theory">Optimal foraging theory</a></li> <li><a href="/wiki/Planktivore" title="Planktivore">Planktivore</a></li> <li><a href="/wiki/Predation" title="Predation">Predation</a></li> <li><a href="/wiki/Prey_switching" title="Prey switching">Prey switching</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em"><a href="/wiki/Decomposer" title="Decomposer">Decomposers</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chemoorganoheterotrophy" class="mw-redirect" title="Chemoorganoheterotrophy">Chemoorganoheterotrophy</a></li> <li><a href="/wiki/Decomposition" title="Decomposition">Decomposition</a></li> <li><a href="/wiki/Detritivore" title="Detritivore">Detritivores</a></li> <li><a href="/wiki/Detritus" title="Detritus">Detritus</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em"><a href="/wiki/Microorganism#Habitats_and_ecology" title="Microorganism">Microorganisms</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Archaea" title="Archaea">Archaea</a></li> <li><a href="/wiki/Bacteriophage" title="Bacteriophage">Bacteriophage</a></li> <li><a href="/wiki/Lithoautotroph" title="Lithoautotroph">Lithoautotroph</a></li> <li><a href="/wiki/Lithotroph" title="Lithotroph">Lithotrophy</a></li> <li><a href="/wiki/Marine_microorganisms" title="Marine microorganisms">Marine</a></li> <li><a href="/wiki/Microbial_cooperation" title="Microbial cooperation">Microbial cooperation</a></li> <li><a href="/wiki/Microbial_ecology" title="Microbial ecology">Microbial ecology</a></li> <li><a href="/wiki/Microbial_food_web" title="Microbial food web">Microbial food web</a></li> <li><a href="/wiki/Microbial_intelligence" title="Microbial intelligence">Microbial intelligence</a></li> <li><a href="/wiki/Microbial_loop" title="Microbial loop">Microbial loop</a></li> <li><a href="/wiki/Microbial_mat" title="Microbial mat">Microbial mat</a></li> <li><a href="/wiki/Microbial_metabolism" title="Microbial metabolism">Microbial metabolism</a></li> <li><a href="/wiki/Phage_ecology" title="Phage ecology">Phage ecology</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em"><a href="/wiki/Food_web" title="Food web">Food webs</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Biomagnification" title="Biomagnification">Biomagnification</a></li> <li><a href="/wiki/Ecological_efficiency" title="Ecological efficiency">Ecological efficiency</a></li> <li><a href="/wiki/Ecological_pyramid" title="Ecological pyramid">Ecological pyramid</a></li> <li><a href="/wiki/Energy_flow_(ecology)" title="Energy flow (ecology)">Energy flow</a></li> <li><a href="/wiki/Food_chain" title="Food chain">Food chain</a></li> <li><a href="/wiki/Trophic_level" title="Trophic level">Trophic level</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em">Example webs</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Lake_ecosystem#Trophic_relationships" title="Lake ecosystem">Lakes</a></li> <li><a href="/wiki/River_ecosystem#Trophic_relationships" title="River ecosystem">Rivers</a></li> <li><a href="/wiki/Soil_food_web" title="Soil food web">Soil</a></li> <li><a href="/wiki/Tritrophic_interactions_in_plant_defense" title="Tritrophic interactions in plant defense">Tritrophic interactions in plant defense</a></li> <li><a href="/wiki/Marine_food_web" title="Marine food web">Marine food webs</a> <ul><li><a href="/wiki/Cold_seep" title="Cold seep">cold seeps</a></li> <li><a href="/wiki/Hydrothermal_vent#Biological_communities" title="Hydrothermal vent">hydrothermal vents</a></li> <li><a href="/wiki/Intertidal_ecology" title="Intertidal ecology">intertidal</a></li> <li><a href="/wiki/Kelp_forest#Trophic_ecology" title="Kelp forest">kelp forests</a></li> <li><a href="/wiki/North_Pacific_Gyre" title="North Pacific Gyre">North Pacific Gyre</a></li> <li><a href="/wiki/Ecology_of_the_San_Francisco_Estuary#Food_web" title="Ecology of the San Francisco Estuary">San Francisco Estuary</a></li> <li><a href="/wiki/Tide_pool" title="Tide pool">tide pool</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em">Processes</th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ascendency" title="Ascendency">Ascendency</a></li> <li><a href="/wiki/Bioaccumulation" title="Bioaccumulation">Bioaccumulation</a></li> <li><a href="/wiki/Cascade_effect_(ecology)" title="Cascade effect (ecology)">Cascade effect</a></li> <li><a href="/wiki/Climax_community" title="Climax community">Climax community</a></li> <li><a href="/wiki/Competitive_exclusion_principle" title="Competitive exclusion principle">Competitive exclusion principle</a></li> <li><a href="/wiki/Consumer%E2%80%93resource_interactions" title="Consumer–resource interactions">Consumer–resource interactions</a></li> <li><a href="/wiki/Copiotroph" title="Copiotroph">Copiotrophs</a></li> <li><a href="/wiki/Dominance_(ecology)" title="Dominance (ecology)">Dominance</a></li> <li><a href="/wiki/Ecological_network" title="Ecological network">Ecological network</a></li> <li><a href="/wiki/Ecological_succession" title="Ecological succession">Ecological succession</a></li> <li><a href="/wiki/Energy_quality" title="Energy quality">Energy quality</a></li> <li><a href="/wiki/Energy_systems_language" title="Energy systems language">Energy systems language</a></li> <li><a href="/wiki/F-ratio_(oceanography)" title="F-ratio (oceanography)">f-ratio</a></li> <li><a href="/wiki/Feed_conversion_ratio" title="Feed conversion ratio">Feed conversion ratio</a></li> <li><a href="/wiki/Feeding_frenzy" title="Feeding frenzy">Feeding frenzy</a></li> <li><a href="/wiki/Mesotrophic_soil" title="Mesotrophic soil">Mesotrophic soil</a></li> <li><a href="/wiki/Nutrient_cycle" title="Nutrient cycle">Nutrient cycle</a></li> <li><a href="/wiki/Oligotroph" title="Oligotroph">Oligotroph</a></li> <li><a href="/wiki/Paradox_of_the_plankton" title="Paradox of the plankton">Paradox of the plankton</a></li> <li><a href="/wiki/Trophic_cascade" title="Trophic cascade">Trophic cascade</a></li> <li><a href="/wiki/Trophic_mutualism" title="Trophic mutualism">Trophic mutualism</a></li> <li><a href="/wiki/Trophic_state_index" title="Trophic state index">Trophic state index</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em">Defense,<br />counter</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Animal_coloration" title="Animal coloration">Animal coloration</a></li> <li><a href="/wiki/Anti-predator_adaptation" title="Anti-predator adaptation">Anti-predator adaptations</a></li> <li><a href="/wiki/Camouflage" title="Camouflage">Camouflage</a></li> <li><a href="/wiki/Deimatic_behaviour" title="Deimatic behaviour">Deimatic behaviour</a></li> <li><a href="/wiki/Herbivore_adaptations_to_plant_defense" title="Herbivore adaptations to plant defense">Herbivore adaptations to plant defense</a></li> <li><a href="/wiki/Mimicry" title="Mimicry">Mimicry</a></li> <li><a href="/wiki/Plant_defense_against_herbivory" title="Plant defense against herbivory">Plant defense against herbivory</a></li> <li><a href="/wiki/Shoaling_and_schooling#Predator_avoidance" title="Shoaling and schooling">Predator avoidance in schooling fish</a></li></ul> </div></td></tr></tbody></table></div><div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Ecology:_Modelling_ecosystems:_Other_components285" style="padding:3px"><table class="nowraplinks hlist mw-collapsible mw-collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Modelling_ecosystems" title="Template:Modelling ecosystems"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Modelling_ecosystems" title="Template talk:Modelling ecosystems"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Modelling_ecosystems" title="Special:EditPage/Template:Modelling ecosystems"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Ecology:_Modelling_ecosystems:_Other_components285" style="font-size:114%;margin:0 4em"><a href="/wiki/Ecology" title="Ecology">Ecology</a>: <a href="/wiki/Ecosystem_model" title="Ecosystem model">Modelling ecosystems</a>: Other components</div></th></tr><tr><th scope="row" class="navbox-group" style="width:7.5em"><a href="/wiki/Population_ecology" title="Population ecology">Population<br />ecology</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Abundance_(ecology)" title="Abundance (ecology)">Abundance</a></li> <li><a href="/wiki/Allee_effect" title="Allee effect">Allee effect</a></li> <li><a href="/wiki/Consumer-resource_model" title="Consumer-resource model">Consumer-resource model</a></li> <li><a href="/wiki/Depensation" title="Depensation">Depensation</a></li> <li><a href="/wiki/Ecological_yield" title="Ecological yield">Ecological yield</a></li> <li><a href="/wiki/Effective_population_size" title="Effective population size">Effective population size</a></li> <li><a href="/wiki/Intraspecific_competition" title="Intraspecific competition">Intraspecific competition</a></li> <li><a href="/wiki/Logistic_function" title="Logistic function">Logistic function</a></li> <li><a class="mw-selflink selflink">Malthusian growth model</a></li> <li><a href="/wiki/Maximum_sustainable_yield" title="Maximum sustainable yield">Maximum sustainable yield</a></li> <li><a href="/wiki/Overpopulation" title="Overpopulation">Overpopulation</a></li> <li><a href="/wiki/Overexploitation" title="Overexploitation">Overexploitation</a></li> <li><a href="/wiki/Population_cycle" title="Population cycle">Population cycle</a></li> <li><a href="/wiki/Population_dynamics" title="Population dynamics">Population dynamics</a></li> <li><a href="/wiki/Population_model" title="Population model">Population modeling</a></li> <li><a href="/wiki/Population_size" title="Population size">Population size</a></li> <li><a href="/wiki/Lotka%E2%80%93Volterra_equations" title="Lotka–Volterra equations">Predator–prey (Lotka–Volterra) equations</a></li> <li><a href="/wiki/Recruitment_(biology)" title="Recruitment (biology)">Recruitment</a></li> <li><a href="/wiki/Small_population_size" title="Small population size">Small population size</a></li> <li><a href="/wiki/Ecological_stability" title="Ecological stability">Stability</a> <ul><li><a href="/wiki/Ecological_resilience" title="Ecological resilience">Resilience</a></li> <li><a href="/wiki/Resistance_(ecology)" title="Resistance (ecology)">Resistance</a></li></ul></li> <li><a href="/wiki/Random_generalized_Lotka%E2%80%93Volterra_model" title="Random generalized Lotka–Volterra model">Random generalized Lotka–Volterra model</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em">Species</th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Biodiversity" title="Biodiversity">Biodiversity</a></li> <li><a href="/wiki/Density_dependence" title="Density dependence">Density-dependent inhibition</a></li> <li><a href="/wiki/Ecological_effects_of_biodiversity" title="Ecological effects of biodiversity">Ecological effects of biodiversity</a></li> <li><a href="/wiki/Ecological_extinction" title="Ecological extinction">Ecological extinction</a></li> <li><a href="/wiki/Endemism" title="Endemism">Endemic species</a></li> <li><a href="/wiki/Flagship_species" title="Flagship species">Flagship species</a></li> <li><a href="/wiki/Ordination_(statistics)" title="Ordination (statistics)">Gradient analysis</a></li> <li><a href="/wiki/Bioindicator" title="Bioindicator">Indicator species</a></li> <li><a href="/wiki/Introduced_species" title="Introduced species">Introduced species</a></li> <li><a href="/wiki/Invasive_species" title="Invasive species">Invasive species</a> / <a href="/wiki/Native_species" title="Native species">Native species</a></li> <li><a href="/wiki/Latitudinal_gradients_in_species_diversity" title="Latitudinal gradients in species diversity">Latitudinal gradients in species diversity</a></li> <li><a href="/wiki/Minimum_viable_population" title="Minimum viable population">Minimum viable population</a></li> <li><a href="/wiki/Unified_neutral_theory_of_biodiversity" title="Unified neutral theory of biodiversity">Neutral theory</a></li> <li><a href="/wiki/Occupancy%E2%80%93abundance_relationship" title="Occupancy–abundance relationship">Occupancy–abundance relationship</a></li> <li><a href="/wiki/Population_viability_analysis" title="Population viability analysis">Population viability analysis</a></li> <li><a href="/wiki/Priority_effect" title="Priority effect">Priority effect</a></li> <li><a href="/wiki/Rapoport%27s_rule" title="Rapoport's rule">Rapoport's rule</a></li> <li><a href="/wiki/Relative_abundance_distribution" title="Relative abundance distribution">Relative abundance distribution</a></li> <li><a href="/wiki/Relative_species_abundance" title="Relative species abundance">Relative species abundance</a></li> <li><a href="/wiki/Species_diversity" title="Species diversity">Species diversity</a></li> <li><a href="/wiki/Species_homogeneity" title="Species homogeneity">Species homogeneity</a></li> <li><a href="/wiki/Species_richness" title="Species richness">Species richness</a></li> <li><a href="/wiki/Species_distribution" title="Species distribution">Species distribution</a></li> <li><a href="/wiki/Species%E2%80%93area_relationship" title="Species–area relationship">Species–area curve</a></li> <li><a href="/wiki/Umbrella_species" title="Umbrella species">Umbrella species</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em">Species<br />interaction</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Antibiosis" title="Antibiosis">Antibiosis</a></li> <li><a href="/wiki/Biological_interaction" title="Biological interaction">Biological interaction</a></li> <li><a href="/wiki/Commensalism" title="Commensalism">Commensalism</a></li> <li><a href="/wiki/Community_(ecology)" title="Community (ecology)">Community ecology</a></li> <li><a href="/wiki/Ecological_facilitation" title="Ecological facilitation">Ecological facilitation</a></li> <li><a href="/wiki/Interspecific_competition" title="Interspecific competition">Interspecific competition</a></li> <li><a href="/wiki/Mutualism_(biology)" title="Mutualism (biology)">Mutualism</a></li> <li><a href="/wiki/Parasitism" title="Parasitism">Parasitism</a></li> <li><a href="/wiki/Storage_effect" title="Storage effect">Storage effect</a></li> <li><a href="/wiki/Symbiosis" title="Symbiosis">Symbiosis</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em"><a href="/wiki/Spatial_ecology" title="Spatial ecology">Spatial<br />ecology</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Biogeography" title="Biogeography">Biogeography</a></li> <li><a href="/wiki/Cross-boundary_subsidy" title="Cross-boundary subsidy">Cross-boundary subsidy</a></li> <li><a href="/wiki/Cline_(biology)" title="Cline (biology)">Ecocline</a></li> <li><a href="/wiki/Ecotone" title="Ecotone">Ecotone</a></li> <li><a href="/wiki/Ecotype" title="Ecotype">Ecotype</a></li> <li><a href="/wiki/Disturbance_(ecology)" title="Disturbance (ecology)">Disturbance</a></li> <li><a href="/wiki/Edge_effects" title="Edge effects">Edge effects</a></li> <li><a href="/wiki/Foster%27s_rule" title="Foster's rule">Foster's rule</a></li> <li><a href="/wiki/Habitat_fragmentation" title="Habitat fragmentation">Habitat fragmentation</a></li> <li><a href="/wiki/Ideal_free_distribution" title="Ideal free distribution">Ideal free distribution</a></li> <li><a href="/wiki/Intermediate_disturbance_hypothesis" title="Intermediate disturbance hypothesis">Intermediate disturbance hypothesis</a></li> <li><a href="/wiki/Insular_biogeography" title="Insular biogeography">Insular biogeography</a></li> <li><a href="/wiki/Land_change_modeling" title="Land change modeling">Land change modeling</a></li> <li><a href="/wiki/Landscape_ecology" title="Landscape ecology">Landscape ecology</a></li> <li><a href="/wiki/Landscape_epidemiology" title="Landscape epidemiology">Landscape epidemiology</a></li> <li><a href="/wiki/Landscape_limnology" title="Landscape limnology">Landscape limnology</a></li> <li><a href="/wiki/Metapopulation" title="Metapopulation">Metapopulation</a></li> <li><a href="/wiki/Patch_dynamics" title="Patch dynamics">Patch dynamics</a></li> <li><a href="/wiki/R/K_selection_theory" title="R/K selection theory"><i>r</i>/<i>K</i> selection theory</a></li> <li><a href="/wiki/Resource_selection_function" title="Resource selection function">Resource selection function</a></li> <li><a href="/wiki/Source%E2%80%93sink_dynamics" title="Source–sink dynamics">Source–sink dynamics</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em"><a href="/wiki/Ecological_niche" title="Ecological niche">Niche</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ecological_trap" title="Ecological trap">Ecological trap</a></li> <li><a href="/wiki/Ecosystem_engineer" title="Ecosystem engineer">Ecosystem engineer</a></li> <li><a href="/wiki/Species_distribution_modelling" title="Species distribution modelling">Environmental niche modelling</a></li> <li><a href="/wiki/Guild_(ecology)" title="Guild (ecology)">Guild</a></li> <li><a href="/wiki/Habitat" title="Habitat">Habitat</a> <ul><li><a href="/wiki/Marine_habitat" title="Marine habitat">Marine</a></li> <li><a href="/wiki/Semiaquatic" title="Semiaquatic">Semiaquatic</a></li> <li><a href="/wiki/Terrestrial_animal" title="Terrestrial animal">Terrestrial</a></li></ul></li> <li><a href="/wiki/Limiting_similarity" title="Limiting similarity">Limiting similarity</a></li> <li><a href="/wiki/Niche_apportionment_models" title="Niche apportionment models">Niche apportionment models</a></li> <li><a href="/wiki/Niche_construction" title="Niche construction">Niche construction</a></li> <li><a href="/wiki/Niche_differentiation" class="mw-redirect" title="Niche differentiation">Niche differentiation</a></li> <li><a href="/wiki/Ontogenetic_niche_shift" title="Ontogenetic niche shift">Ontogenetic niche shift</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em"><a href="/wiki/Non-trophic_networks" title="Non-trophic networks">Other<br />networks</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Assembly_rules" title="Assembly rules">Assembly rules</a></li> <li><a href="/wiki/Bateman%27s_principle" title="Bateman's principle">Bateman's principle</a></li> <li><a href="/wiki/Bioluminescence" title="Bioluminescence">Bioluminescence</a></li> <li><a href="/wiki/Ecological_collapse" class="mw-redirect" title="Ecological collapse">Ecological collapse</a></li> <li><a href="/wiki/Ecological_debt" title="Ecological debt">Ecological debt</a></li> <li><a href="/wiki/Ecological_debt" title="Ecological debt">Ecological deficit</a></li> <li><a href="/wiki/Energy_flow_(ecology)" title="Energy flow (ecology)">Ecological energetics</a></li> <li><a href="/wiki/Ecological_indicator" title="Ecological indicator">Ecological indicator</a></li> <li><a href="/wiki/Ecological_threshold" title="Ecological threshold">Ecological threshold</a></li> <li><a href="/wiki/Ecosystem_diversity" title="Ecosystem diversity">Ecosystem diversity</a></li> <li><a href="/wiki/Emergence" title="Emergence">Emergence</a></li> <li><a href="/wiki/Extinction_debt" title="Extinction debt">Extinction debt</a></li> <li><a href="/wiki/Kleiber%27s_law" title="Kleiber's law">Kleiber's law</a></li> <li><a href="/wiki/Liebig%27s_law_of_the_minimum" title="Liebig's law of the minimum">Liebig's law of the minimum</a></li> <li><a href="/wiki/Marginal_value_theorem" title="Marginal value theorem">Marginal value theorem</a></li> <li><a href="/wiki/Thorson%27s_rule" title="Thorson's rule">Thorson's rule</a></li> <li><a href="/wiki/Xerosere" title="Xerosere">Xerosere</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:7.5em">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Allometry" title="Allometry">Allometry</a></li> <li><a href="/wiki/Alternative_stable_state" title="Alternative stable state">Alternative stable state</a></li> <li><a href="/wiki/Balance_of_nature" title="Balance of nature">Balance of nature</a></li> <li><a href="/wiki/Biological_data_visualization" title="Biological data visualization">Biological data visualization</a></li> <li><a href="/wiki/Ecological_economics" title="Ecological economics">Ecological economics</a></li> <li><a href="/wiki/Ecological_footprint" title="Ecological footprint">Ecological footprint</a></li> <li><a href="/wiki/Ecological_forecasting" title="Ecological forecasting">Ecological forecasting</a></li> <li><a href="/wiki/Environmental_humanities" title="Environmental humanities">Ecological humanities</a></li> <li><a href="/wiki/Ecological_stoichiometry" title="Ecological stoichiometry">Ecological stoichiometry</a></li> <li><a href="/wiki/Ecopath" title="Ecopath">Ecopath</a></li> <li><a href="/wiki/Ecosystem_based_fisheries" class="mw-redirect" title="Ecosystem based fisheries">Ecosystem based fisheries</a></li> <li><a href="/wiki/Endolith" title="Endolith">Endolith</a></li> <li><a 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