Edge-linked dynamics and the scale-dependence of competitive
Empirical data for several ecological systems suggest that howresource availability scales with patch geometry may influence the outcome ofspecies interactions. To study this process, we assume a pseudoequilibriumto reduce the dimensionality of a two-consumer-two-resource model in whichdifferent res...
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AIMS Press
2005-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.833 |
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| author | Robert Stephen Cantrell Chris Cosner William F. Fagan |
| author_facet | Robert Stephen Cantrell Chris Cosner William F. Fagan |
| author_sort | Robert Stephen Cantrell |
| collection | DOAJ |
| description | Empirical data for several ecological systems suggest that howresource availability scales with patch geometry may influence the outcome ofspecies interactions. To study this process, we assume a pseudoequilibriumto reduce the dimensionality of a two-consumer-two-resource model in whichdifferent resources are available in the interior of a patch versus at the edge.We analyze the resulting two species competition model to understand how theoutcome of competition between consumers changes as the size of the patchchanges, paying particular attention to the differential scaling of interior andedge-linked allochthonous resources as a function of patch size. We characterizeconditions on patch size and parameters under which competitive exclusion,coexistence, and a reversal in competitive dominance occur. We find thatthe degree of exclusivity in the use of edge versus interior habitats influencesthe potential for transitions in competitive outcomes, but that differences inresource quality between interior and edge habitats can, depending on thescenario, have either qualitative or quantitative influences on the transitions.The work highlights the importance of patch size to understanding speciesinteractions and demonstrates that competitive dominance can be a scale-dependent trait. |
| format | Article |
| id | doaj-art-027d6090067e451d833a74f02bface54 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-027d6090067e451d833a74f02bface542025-01-24T01:49:47ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-09-012483386810.3934/mbe.2005.2.833Edge-linked dynamics and the scale-dependence of competitiveRobert Stephen Cantrell0Chris Cosner1William F. Fagan2Department of Mathematics, University of Miami, P. O . Box 249085, Coral Gables, FL 33124-4250Department of Mathematics, University of Miami, P. O . Box 249085, Coral Gables, FL 33124-4250Department of Biology, University of Maryland, College Park, MD 20742Empirical data for several ecological systems suggest that howresource availability scales with patch geometry may influence the outcome ofspecies interactions. To study this process, we assume a pseudoequilibriumto reduce the dimensionality of a two-consumer-two-resource model in whichdifferent resources are available in the interior of a patch versus at the edge.We analyze the resulting two species competition model to understand how theoutcome of competition between consumers changes as the size of the patchchanges, paying particular attention to the differential scaling of interior andedge-linked allochthonous resources as a function of patch size. We characterizeconditions on patch size and parameters under which competitive exclusion,coexistence, and a reversal in competitive dominance occur. We find thatthe degree of exclusivity in the use of edge versus interior habitats influencesthe potential for transitions in competitive outcomes, but that differences inresource quality between interior and edge habitats can, depending on thescenario, have either qualitative or quantitative influences on the transitions.The work highlights the importance of patch size to understanding speciesinteractions and demonstrates that competitive dominance can be a scale-dependent trait.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.833allochthonous resourceshabitat fragmentationmetapopulation dynamicshabitat edgespatch sizeedge e®ectsspatial subsidies.domain size |
| spellingShingle | Robert Stephen Cantrell Chris Cosner William F. Fagan Edge-linked dynamics and the scale-dependence of competitive Mathematical Biosciences and Engineering allochthonous resources habitat fragmentation metapopulation dynamics habitat edges patch size edge e®ects spatial subsidies. domain size |
| title | Edge-linked dynamics and the scale-dependence of competitive |
| title_full | Edge-linked dynamics and the scale-dependence of competitive |
| title_fullStr | Edge-linked dynamics and the scale-dependence of competitive |
| title_full_unstemmed | Edge-linked dynamics and the scale-dependence of competitive |
| title_short | Edge-linked dynamics and the scale-dependence of competitive |
| title_sort | edge linked dynamics and the scale dependence of competitive |
| topic | allochthonous resources habitat fragmentation metapopulation dynamics habitat edges patch size edge e®ects spatial subsidies. domain size |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.833 |
| work_keys_str_mv | AT robertstephencantrell edgelinkeddynamicsandthescaledependenceofcompetitive AT chriscosner edgelinkeddynamicsandthescaledependenceofcompetitive AT williamffagan edgelinkeddynamicsandthescaledependenceofcompetitive |