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de Mazancourt, C. & Dieckmann, U. 
ORCID: https://orcid.org/0000-0001-7089-0393
(2004).
Trade-off geometries and frequency-dependent selection.
The American Naturalist 164 (6) 765-778. 10.1086/424762.
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: | 27 Aug 2021 17:18 |
| URI: | https://pure.iiasa.ac.at/7107 |
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