Replicators in Fine-grained Environment: Adaptation and Polymorphism

Details Replicators in Fine-grained Environment: Adaptation and Polymorphism Replicators in Fine-grained Environment: Adaptation and Polymorphism

2009-05-20

arxiv.org/abs/0905.3297v1

Phys. Rev. Lett., 102, 058102 (2009)

Biology

Quantitative Biology

Populations and Evolution

4 pages, 2 figures

Scientific paper

Selection in a time-periodic environment is modeled via the two-player replicator dynamics. For sufficiently fast environmental changes, this is reduced to a multi-player replicator dynamics in a constant environment. The two-player terms correspond to the time-averaged payoffs, while the three and four-player terms arise from the adaptation of the morphs to their varying environment. Such multi-player (adaptive) terms can induce a stable polymorphism. The establishment of the polymorphism in partnership games [genetic selection] is accompanied by decreasing mean fitness of the population.

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