Trade-off geometries and frequency-dependent selection

de Mazancourt C & Dieckmann U (2004). Trade-off geometries and frequency-dependent selection. The American Naturalist 164 (6): 765-778. DOI:10.1086/424762.

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Abstract

Life-history evolution is determined by the interplay between natural selection and adaptive constraints. The classical approach to studying constrained life-history evolution -- Richard Levins's geometric comparison of fitness sets and adaptive functions -- is applicable when selection pressures are frequency independent. Here we extend this widely used tool to frequency-dependent selection. Such selection pressures vary with a population's phenotypic composition and are increasingly recognized as ubiquitous. Under frequency dependence, two independent properties have to be distinguished: evolutionary stability (an evolutionarily stable strategy cannot be invaded once established) and convergence stability (only a convergence stable strategy can be attained through small, selectively advantageous steps). Combination of both properties results in four classes of possible evolutionary outcomes. We introduce a geometric mode of analysis that enables predicting, for any bivariate selection problem, evolutionary outcomes induced by trade-offs of given shape, shapes of trade-offs required for given evolutionary outcomes, the set of all evolutionary outcomes trade-offs can induce, and effects of ecological parameters on evolutionary outcomes independent of trade-off shape.

Item Type: Article
Uncontrolled Keywords: Trade-offs; frequency-dependent selection; fitness sets; invasion fitness; adaptive dynamics; curvature
Research Programs: Adaptive Dynamics Network (ADN)
Bibliographic Reference: The American Naturalist; 164(6):765-778 (December 2004)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:16
Last Modified: 07 Sep 2016 11:54
URI: http://pure.iiasa.ac.at/7107

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