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Dynamics and stability in coevolutionary ecological systems. I. Community stability and coevolutionarily stable states.

D A Vasco·A D Nazarea·R H Richardson
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Abstract

An extension of J. Roughgarden's [1979, Theor. Pop. Biol. 9, 388; 1979, "An Introduction to Evolutionary Ecology and Population Genetic Theory," Macmillan, New York] formalism for investigating the effects of coevolution on community structure is presented. The extension assumes the result that a coevolved community is asymptotically stable when coevolution takes place at a genetically noninvasible boundary. This is proved for the general case of n interacting species. From this a community persistence function, phi (P), is defined that allows measuring the domain of attraction for the community as well as the resilience time, that is, the time taken for a perturbation to decay to 1-1/e (63%) of its initial value.

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AnimalsBiological EvolutionBiometryEcologyModels, GeneticJournal ArticleResearch Support, U.S. Gov't, Non-P.H.S.

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D A Vasco, A D Nazarea, R H Richardson. 1987. Dynamics and stability in coevolutionary ecological systems. I. Community stability and coevolutionarily stable states.. https://doi.org/10.1016/0040-5809(87)90030-x

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