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A method to describe the evolutionary equilibria: the case of spatially heterogeneous environments

Banff International Research Station for Mathematical Innovation and Discovery

We study the balance between local selection, mutation and migration in a two habitat model with asexual reproduction. We introduce a robust method to fully characterize the phenotypic distribution at equilibrium. We show that the distributions are not necessarily superpositions of Gaussian functions and in this way, we improve the predictions of Adaptive Dynamics and Quantitative Genetics. The method can be applied to general habitats with migration in both directions (not necessarily symmetric habitats) and to source-sink models. We discuss the implications of these analytic results for the emergence of local adaptation. This is a joint work with Sylvain Gandon.

Mathematics; Partial differential equations; Probability theory and stochastic processes; Mathematical biology

video/mp4

Author affiliation: Université Paul Sabatier

2017-02-06

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/60482

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/