Fluctuation Domains in Adaptive Evolution

Details Fluctuation Domains in Adaptive Evolution Fluctuation Domains in Adaptive Evolution

2010-04-23

arxiv.org/abs/1004.4233v1

Theoretical population biology, 77(1), 6-13 2010

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

10.1016/j.tpb.2009.10.003

We derive an expression for the variation between parallel trajectories in phenotypic evolution, extending the well known result that predicts the mean evolutionary path in adaptive dynamics or quantitative genetics. We show how this expression gives rise to the notion of fluctuation domains - parts of the fitness landscape where the rate of evolution is very predictable (due to fluctuation dissipation) and parts where it is highly variable (due to fluctuation enhancement). These fluctuation domains are determined by the curvature of the fitness landscape. Regions of the fitness landscape with positive curvature, such as adaptive valleys or branching points, experience enhancement. Regions with negative curvature, such as adaptive peaks, experience dissipation. We explore these dynamics in the ecological scenarios of implicit and explicit competition for a limiting resource.

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