Evolution on a Smooth Landscape: The Role of Bias |
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| Authors: | Douglas Ridgway Herbert Levine David A Kessler |
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| Institution: | (1) Department of Physics, University of California, San Diego, La Jolla, California, 92093;(2) Minerva Center and Department of Physics, Bar-Ilan University, Ramat-Gan, Israel |
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| Abstract: | The role of mutational bias in evolution on a smooth landscape is investigated. We consider both a finite-length genome where the bias increases linearly with the fitness, and an infinite genome with a fixed bias. We present simulations of finite populations in a waiting time model, showing both the nonequilibrium dynamics and the equilibrium fitness distributions that are reached. We compute the equilibrium analytically in several cases, using approximate direct solution of the master equations and truncated hierarchies. |
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| Keywords: | Evolution birth/death processes mean-field population dynamics |
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