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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.1137/12088673X |
Branching scenarios in eco-evolutionary prey-predator models. | |
Landi P; Dercole F; Rinaldi S | |
发表日期 | 2013 |
出处 | SIAM Journal on Applied Mathematics 73 (4): 1634-1658 |
出版年 | 2013 |
语种 | 英语 |
摘要 | We show in this paper how simulations of ODEs and continuations of systems of algebraic equations can be combined to study the evolution of biodiversity in multispecies systems where phenotypic traits are genetically transmitted. We follow the adaptive dynamics (AD) approach, which provides a deterministic approximation of the evolutionary dynamics of stationary coexisting populations in terms of an ODE system, the so-called AD canonical equation. AD also provides explicit conditions to test whether a stable evolutionary equilibrium of the canonical equation is a branching point -- resident and mutant morphs coexist and further differentiate, thus increasing biodiversity -- or not. We analyze a standard parameterized family of prey-predator communities, described by the most standard ecological model, and propose an iterative procedure to obtain the branching portrait, explaining the dependence of branching scenarios on two (demographic, environmental, or control) parameters. Among a number of interesting results, in line with field studies and known ecological principles, we find that prey branching is induced by the predation pressure, and is favored when prey intraspecific competition is highly sensitive to the resident-mutant phenotypic mismatch, while predator branching is not possible when prey and predators are present in an equal number of morphs. This results in alternate prey-predator branching sequences with possible phases of prey unilateral branching. The guidelines for deriving a general method for analyzing the evolution of biodiversity are also discussed. The indications that can be obtained typically have a qualitative nature, but can be of help for the long-term conservation and management of biodiversity. |
主题 | Evolution and Ecology (EEP) |
关键词 | Adaptive dynamics Biodiversity Coevolution Evolutionary branching Polymorphism Prey-predator model |
URL | http://pure.iiasa.ac.at/id/eprint/10312/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/129664 |
推荐引用方式 GB/T 7714 | Landi P,Dercole F,Rinaldi S. Branching scenarios in eco-evolutionary prey-predator models.. 2013. |
条目包含的文件 | 条目无相关文件。 |
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