Berlin 2012 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 18: Posters: Statistical Physics in Biological Systems
BP 18.31: Poster
Mittwoch, 28. März 2012, 17:30–19:30, Poster A
The dynamics of stochastic slowdown in evolutionary processes — •Philipp M. Altrock1, Tobias Galla2, and Arne Traulsen1 — 1Max-Planck-Institute Evolutionary Biology, Plön — 2School of Physics & Astronomy, University of Manchester
We study the stochastic dynamics of evolutionary games, and focus on the so-called `stochastic slowdown' effect, previously observed in (Altrock et al. 2010, PRE 82, 011925) for simple evolutionary dynamics. Slowdown here refers to the observation that a neutral mutation may fixate quicker than a beneficial one under certain forms of frequency dependent selection. More precisely the fixation time, conditioned on paths in which the mutant takes over, has a maximum value at intermediate selection strength. This phenomenon is present in the prisoners dilemma game. Additional analysis of a co-existence game reveals even more intricate behavior of the fixation times. In small populations, the conditional average fixation time shows multiple extrema as a function of the selection strength. We establish the microscopic origins of these phenomena and calculate the mean conditional sojourn times, identifying those transient states which contribute most to the slowdown effect.