Optimal Mutation Rates on Static Fitness Landscpes

Details Optimal Mutation Rates on Static Fitness Landscpes Optimal Mutation Rates on Static Fitness Landscpes

2000-05-08

arxiv.org/abs/physics/0005018v1

Physics

Biological Physics

4 pages, 5 figures

Scientific paper

We study the evolution of mutation rates for an asexual population living on a static fitness landscape, consisting of multiple peaks forming an evolutionary staircase. The optimal mutation rate is found by maximizing the diffusion towards higher fitness. Surprisingly the optimal genomic copying fidelity is given by Q = e^(-1/ln(n)) (where n is the genome length), independent of all other parameters in the model. Simulations confirm this theoretical result. We also discuss the relation between the optimal mutation rate on static and dynamic fitness landscapes.

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