Adaptive walks on changing landscapes: Levins' approach extended

Rueffler C, Van Dooren TJM, & Metz JAJ (2004). Adaptive walks on changing landscapes: Levins' approach extended. Theoretical Population Biology 65 (2): 165-178. DOI:10.1016/j.tpb.2003.10.001.

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Abstract

The assumption that trade-offs exist is fundamental in evolutionary theory. Levins (Am. Nat. 96 (1962) 361-372) introduced a widely adopted graphical method for analyzing evolution towards an optimal combination of two quantitative traits, which are traded off. His approach explicitly excluded the possibility of density- and frequency-dependent selection. Here we extend Levins method towards models, which include these selection regimes and where therefore fitness landscapes change with population state. We employ the same kind of curves Levins used: trade-off curves and fitness contours. However, fitness contours are not fixed but a function of the resident traits and we only consider those that divide the trait space into potentially successful mutants and mutants which are not able to invade ('invasion boundaries'). The developed approach allows to make a priori predictions about evolutionary endpoints and about their bifurcations. This is illustrated by applying the approach to several examples from the recent literature.

Item Type: Article
Uncontrolled Keywords: Adaptive dynamics; Fitness landscape; Frequency-dependent selection; Invasion fitness; Life-history evolution; Trade-off
Research Programs: Adaptive Dynamics Network (ADN)
Bibliographic Reference: Theoretical Population Biology; 65(2):165-178 (March 2004) (Published online 26 November 2003)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:16
Last Modified: 25 Feb 2016 09:28
URI: http://pure.iiasa.ac.at/7149

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