Evolutionary dynamics of predator-prey systems: An ecological perspective

Marrow P, Dieckmann U, & Law R (1996). Evolutionary dynamics of predator-prey systems: An ecological perspective. Journal of Mathematical Biology 34 (5): 556-578. DOI:10.1007/BF02409750.

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Abstract

Evolution takes place in an ecological setting that typically involves interactions with other organisms. To describe such evolution, a structure is needed which incorporates the simultaneous evolution of interacting species. Here a formal framework for this purpose is suggested, extending from the microscopic interactions between individuals - the immediate cause of natural selection, through the mesoscopic population dynamics responsible for driving the replacement of one mutant phenotype by another, to the macroscopic process of phenotypic evolution arising from many such substitutions. The process of coevolution that results from this is illustrated in the context of predator-prey systems. With no more than qualitative information about the evolutionary dynamics, some basic properties of predator-prey coevolution become evident. More detailed understanding requires specification of an evolutionary dynamic; two models for this purpose are outlined, one from our own research on a stochastic process of mutation and selection and the other from quantitative genetics. Much of the interest in coevolution has been to characterize the properties of fixed points at which there is no further phenotypic evolution. Stability analysis of the fixed points of evolutionary dynamical systems is reviewed and leads to conclusions about the asymptotic states of evolution rather different from those of game-theoretic methods. These differences become especially important when evolution involves more than one species.

Item Type: Article
Research Programs: Adaptive Dynamics Network (ADN)
Bibliographic Reference: Journal of Mathematical Biology; 34(5-6):556-578 (May 1996)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:06
Last Modified: 24 Feb 2016 14:49
URI: http://pure.iiasa.ac.at/4693

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