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BP: Fachverband Biologische Physik

BP 11: Poster Session I

BP 11.30: Poster

Tuesday, March 28, 2023, 12:30–15:30, P1

Theory of adaptation to a moving optimum — •Sakshi Pahujani and Joachim Krug — Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, D-50937 Köln, Germany

We study the evolution of a polygenic trait under changing environment using a theory of adaptation formulated by Michael Kopp and Joachim Hermisson [1]. This theory treats the changing environment as a fitness optimum moving in the phenotypic space. Within this framework, we work with the assumption of instantaneous fixation of beneficial mutations. Consequentially, we view adaptation as a walk in the phenotypic space, the dynamics of which are governed by the selection coefficient and the dimensionless speed of the optimum. We investigate the conditions pertaining to the existence of a stationary distribution of the phenotypic lag of the population from the optimum and the dependence of the distribution of adaptive substitutions on the distribution of phenotypic effect sizes available to the population. Further, we go beyond the linear dependence of the optimum on time to non-linear dependencies and incorporate this into the theory to answer questions about the time until first passage through a fitness threshold which potentially leads to the extinction of the population.

[1] Michael Kopp, Joachim Hermisson, genetics.108.099820 (2009)