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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 8: Poster

SOE 8.30: Poster

Montag, 16. März 2015, 18:00–20:00, Poster E

Finite populations evolving in fluctuating environments — •Peter Ashcroft¹, Philipp M. Altrock^2,3,4, and Tobias Galla¹ — ¹The University of Manchester, Manchester, UK — ²Program for Evolutionary Dynamics, Harvard University, Cambridge, MA, USA — ³Harvard School of Public Health, Boston, MA, USA — ⁴Dana Farber Cancer Institute, Boston, MA, USA

We have shown that a mutant invading a finite population can exploit environmental noise. This noise modifies the payoff structure of the evolutionary game. A dynamic environment that randomly switches between two states can lead to a probability of fixation that is higher than in any of the individual environmental states. We provide an intuitive interpretation of this surprising effect. We develop a general theory to describe the fixation of a mutant in a population of wild-types in an environment that randomly switches between an arbitrary number of states. We also investigate stationary distributions when mutations are present in the dynamics. In this regime, we find two approximations of the stationary measure. One works well for rapid switching, the other for slowly fluctuating environments.

[1] Ashcroft, Altrock & Galla (2014) J. R. Soc. Interface 11: 20140663.