Discrete Evolutionary Genetics: Multiplicative Fitnesses and the Mutation-Fitness Balance

Abstract

We revisit the multi-allelic mutation-fitness balance problem especially when fitnesses are multiplicative. Using ideas arising from quasi-stationary distributions, we analyze the qualitative differences between the fitness-first and mutation-first models, under various schemes of the mutation pattern. We give some stochastic domination relations between the equilibrium states resulting from these models.

We revisit the multi-allelic mutation-fitness balance problem especially when fitnesses are multiplicative. Using ideas arising from quasi-stationary distributions, we analyze the qualitative differences between the fitness-first and mutation-first models, under various schemes of the mutation pattern. We give some stochastic domination relations between the equilibrium states resulting from these models.

Keywords

Evolutionary Genetics, Fitness Landscape, Selection, Mutation, Stochastic Models, Quasi-Stationarity

Evolutionary Genetics, Fitness Landscape, Selection, Mutation, Stochastic Models, Quasi-Stationarity

Cite this paper

nullT. Huillet and S. Martinez, "Discrete Evolutionary Genetics: Multiplicative Fitnesses and the Mutation-Fitness Balance,"*Applied Mathematics*, Vol. 2 No. 1, 2011, pp. 11-22. doi: 10.4236/am.2011.21002.

nullT. Huillet and S. Martinez, "Discrete Evolutionary Genetics: Multiplicative Fitnesses and the Mutation-Fitness Balance,"

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