The volterra competition equations with resource - Independent growth coefficients and discussion on their biological and biophysical implications
Identifieur interne : 000838 ( Istex/Corpus ); précédent : 000837; suivant : 000839The volterra competition equations with resource - Independent growth coefficients and discussion on their biological and biophysical implications
Auteurs : I. WalkerSource :
- Acta Biotheoretica [ 0001-5342 ] ; 1984-12-01.
English descriptors
- Teeft :
- Acta biotheoretica, Behaviour, Behavioural mechanism, Biological memory, Biophysical, Ceiling model, Coefficient, Coexisting species, Different species, Energy flow, Equilibrium model, Field conditions, Food jealousy, Growth coefficients, Growth effects, Growth rates, Higher animals, Identical niches, Inequality, Inequality condition, Inequality conditions, Intrinsic growth rate, Intrinsic growth rates, Mathematical formalism, Measure competition, Niche, Organism, Other species, Physical dimension, Physical dimensions, Population control, Population density, Population numbers, Resource, Resource availability, Resource flow, Same resources, Selection pressure, Single line, Stable coexistence, Stable point, Straight lines, Volterra, Volterra competition equations, Volterra models.
Abstract
Abstract: Analysis of the biophysical conditions for a correct application of the Volterra Competition Equations with resource-independent coefficients reveals the following: The traditional, mathematical formalism with the two equations representing two straight lines at the condition of zero growth applies. As a directly resource-limited situation does not permit for stable equilibrium (One-line or K-system, Walker [18]; Ceiling model, Pollard [11]), the combined equilibrium density represented by the intersect of the two lines (Two-line system or S-system; Equilibrium model; lit. ref. see above) is by necessity smaller than the carrying capacity of shared resources would permit. The physical determinant is density in space as a result of behavioural/physiological interaction between organisms. The traditional inequality conditions then mean that coexistence of species sharing the same space is possible provided density-dependent reduction of growth relative to the intrinsic growth rate is more effective within species than between species. The distance of the intersect from the line linking the specific population densities of single species on the axes is a measure for the overlap in the use of space by the two species; thus, overlap of the spatial niche results in stability. This biophysical system allows for coexistence of species in identical space/resource niches. Food-jealous behaviour is a direct function of density in space; it is only indirectly and inconsistently influenced by resource availability.
Url:
DOI: 10.1007/BF00048431
Links to Exploration step
ISTEX:86F4C05927775E1EA9290E5208E54165E47E3BCDLe document en format XML
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Walker</name><affiliation><mods:affiliation>Divisão de Bioecologia, Instituto Nacional de Pesquisas da Amazônia (INPA), Caixa Postal 478, 69.000, Manaus, Brasil</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:86F4C05927775E1EA9290E5208E54165E47E3BCD</idno><date when="1984" year="1984">1984</date><idno type="doi">10.1007/BF00048431</idno><idno type="url">https://api.istex.fr/ark:/67375/1BB-581PK922-H/fulltext.pdf</idno><idno type="wicri:Area/Istex/Corpus">000838</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000838</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">The volterra competition equations with resource - Independent growth coefficients and discussion on their biological and biophysical implications</title><author><name sortKey="Walker, I" sort="Walker, I" uniqKey="Walker I" first="I." last="Walker">I. 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As a directly resource-limited situation does not permit for stable equilibrium (One-line or K-system, Walker [18]; Ceiling model, Pollard [11]), the combined equilibrium density represented by the intersect of the two lines (Two-line system or S-system; Equilibrium model; lit. ref. see above) is by necessity smaller than the carrying capacity of shared resources would permit. The physical determinant is density in space as a result of behavioural/physiological interaction between organisms. The traditional inequality conditions then mean that coexistence of species sharing the same space is possible provided density-dependent reduction of growth relative to the intrinsic growth rate is more effective within species than between species. The distance of the intersect from the line linking the specific population densities of single species on the axes is a measure for the overlap in the use of space by the two species; thus, overlap of the spatial niche results in stability. 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Junk Publishers</publisher><pubPlace>Dordrecht</pubPlace><date type="published" when="1984-12-01"></date><biblScope unit="volume">33</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="page" from="253">253</biblScope><biblScope unit="page" to="270">270</biblScope></imprint></monogr></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>1984-05-28</date></creation><langUsage><language ident="en">en</language></langUsage><abstract xml:lang="en"><p>Abstract: Analysis of the biophysical conditions for a correct application of the Volterra Competition Equations with resource-independent coefficients reveals the following: The traditional, mathematical formalism with the two equations representing two straight lines at the condition of zero growth applies. As a directly resource-limited situation does not permit for stable equilibrium (One-line or K-system, Walker [18]; Ceiling model, Pollard [11]), the combined equilibrium density represented by the intersect of the two lines (Two-line system or S-system; Equilibrium model; lit. ref. see above) is by necessity smaller than the carrying capacity of shared resources would permit. The physical determinant is density in space as a result of behavioural/physiological interaction between organisms. The traditional inequality conditions then mean that coexistence of species sharing the same space is possible provided density-dependent reduction of growth relative to the intrinsic growth rate is more effective within species than between species. The distance of the intersect from the line linking the specific population densities of single species on the axes is a measure for the overlap in the use of space by the two species; thus, overlap of the spatial niche results in stability. This biophysical system allows for coexistence of species in identical space/resource niches. Food-jealous behaviour is a direct function of density in space; it is only indirectly and inconsistently influenced by resource availability.</p></abstract><textClass><keywords scheme="Journal Subject"><list><head>Philosophy</head><item><term>Philosophy of Biology</term></item><item><term>Evolutionary Biology</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1984-05-28">Created</change><change when="1984-12-01">Published</change></revisionDesc></teiHeader></istex:fulltextTEI><json:item><extension>txt</extension><original>false</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/ark:/67375/1BB-581PK922-H/fulltext.txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="corpus springer-journals not found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//Springer-Verlag//DTD A++ V2.4//EN" URI="http://devel.springer.de/A++/V2.4/DTD/A++V2.4.dtd" name="istex:docType"></istex:docType><istex:document><Publisher><PublisherInfo><PublisherName>Martinus Nijhoff/Dr. W. 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Junk Publishers</CopyrightHolderName><CopyrightYear>1984</CopyrightYear></ArticleCopyright><ArticleGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant><AbstractGrant Grant="OpenAccess"></AbstractGrant><BodyPDFGrant Grant="Restricted"></BodyPDFGrant><BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant><BibliographyGrant Grant="Restricted"></BibliographyGrant><ESMGrant Grant="Restricted"></ESMGrant></ArticleGrants><ArticleContext><JournalID>10441</JournalID><VolumeIDStart>33</VolumeIDStart><VolumeIDEnd>33</VolumeIDEnd><IssueIDStart>4</IssueIDStart><IssueIDEnd>4</IssueIDEnd></ArticleContext></ArticleInfo><ArticleHeader><AuthorGroup><Author AffiliationIDS="Aff1"><AuthorName DisplayOrder="Western"><GivenName>I.</GivenName><FamilyName>Walker</FamilyName></AuthorName></Author><Affiliation ID="Aff1"><OrgDivision>Divisão de Bioecologia</OrgDivision><OrgName>Instituto Nacional de Pesquisas da Amazônia (INPA)</OrgName><OrgAddress><Street>Caixa Postal 478</Street><Postcode>69.000</Postcode><City>Manaus</City><Country>Brasil</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading><Para>Analysis of the biophysical conditions for a correct application of the Volterra Competition Equations with resource-independent coefficients reveals the following:</Para><Para>The traditional, mathematical formalism with the two equations representing two straight lines at the condition of zero growth applies.</Para><Para>As a directly resource-limited situation does not permit for stable equilibrium (One-line or K-system, Walker [18]; Ceiling model, Pollard [11]), the combined equilibrium density represented by the intersect of the two lines (Two-line system or S-system; Equilibrium model; lit. ref. see above) is by necessity smaller than the carrying capacity of shared resources would permit. The physical determinant is density in space as a result of behavioural/physiological interaction between organisms. The traditional inequality conditions then mean that coexistence of species sharing the same space is possible provided density-dependent reduction of growth relative to the intrinsic growth rate is more effective within species than between species. The distance of the intersect from the line linking the specific population densities of single species on the axes is a measure for the overlap in the use of space by the two species; thus, overlap of the spatial niche results in stability.</Para><Para>This biophysical system allows for coexistence of species in identical space/resource niches.</Para><Para>Food-jealous behaviour is a direct function of density in space; it is only indirectly and inconsistently influenced by resource availability.</Para></Abstract></ArticleHeader><NoBody></NoBody></Article></Issue></Volume></Journal></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>The volterra competition equations with resource - Independent growth coefficients and discussion on their biological and biophysical implications</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>The volterra competition equations with resource - Independent growth coefficients and discussion on their biological and biophysical implications</title></titleInfo><name type="personal"><namePart type="given">I.</namePart><namePart type="family">Walker</namePart><affiliation>Divisão de Bioecologia, Instituto Nacional de Pesquisas da Amazônia (INPA), Caixa Postal 478, 69.000, Manaus, Brasil</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Martinus Nijhoff/Dr. W. Junk Publishers</publisher><place><placeTerm type="text">Dordrecht</placeTerm></place><dateCreated encoding="w3cdtf">1984-05-28</dateCreated><dateIssued encoding="w3cdtf">1984-12-01</dateIssued><copyrightDate encoding="w3cdtf">1984</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: Analysis of the biophysical conditions for a correct application of the Volterra Competition Equations with resource-independent coefficients reveals the following: The traditional, mathematical formalism with the two equations representing two straight lines at the condition of zero growth applies. As a directly resource-limited situation does not permit for stable equilibrium (One-line or K-system, Walker [18]; Ceiling model, Pollard [11]), the combined equilibrium density represented by the intersect of the two lines (Two-line system or S-system; Equilibrium model; lit. ref. see above) is by necessity smaller than the carrying capacity of shared resources would permit. The physical determinant is density in space as a result of behavioural/physiological interaction between organisms. The traditional inequality conditions then mean that coexistence of species sharing the same space is possible provided density-dependent reduction of growth relative to the intrinsic growth rate is more effective within species than between species. The distance of the intersect from the line linking the specific population densities of single species on the axes is a measure for the overlap in the use of space by the two species; thus, overlap of the spatial niche results in stability. This biophysical system allows for coexistence of species in identical space/resource niches. Food-jealous behaviour is a direct function of density in space; it is only indirectly and inconsistently influenced by resource availability.</abstract><relatedItem type="host"><titleInfo><title>Acta Biotheoretica</title><subTitle>An international journal on the mathematical and philosophical foundations of biological and biomedical science</subTitle></titleInfo><titleInfo type="abbreviated"><title>Acta Biotheor</title></titleInfo><genre type="journal" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</genre><originInfo><publisher>Springer</publisher><dateIssued encoding="w3cdtf">1984-12-01</dateIssued><copyrightDate encoding="w3cdtf">1984</copyrightDate></originInfo><subject><genre>Philosophy</genre><topic>Philosophy of Biology</topic><topic>Evolutionary Biology</topic></subject><identifier type="ISSN">0001-5342</identifier><identifier type="eISSN">1572-8358</identifier><identifier type="JournalID">10441</identifier><identifier type="IssueArticleCount">5</identifier><identifier type="VolumeIssueCount">4</identifier><part><date>1984</date><detail type="volume"><number>33</number><caption>vol.</caption></detail><detail type="issue"><number>4</number><caption>no.</caption></detail><extent unit="pages"><start>253</start><end>270</end></extent></part><recordInfo><recordOrigin>Martinus Nijhoff/Dr W. 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Junk Publishers, 1984</recordOrigin></recordInfo></mods><json:item><extension>json</extension><original>false</original><mimetype>application/json</mimetype><uri>https://api.istex.fr/ark:/67375/1BB-581PK922-H/record.json</uri></json:item></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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