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Survival-extinction phase transition in a bit-string population with mutation.

Kathia M Fehsenfeld·Ronald Dickman·Américo T Bernardes
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Abstract

A bit-string model for the evolution of a population of haploid organisms, subject to competition, reproduction with mutation, and selection, is studied, using mean-field theory and Monte Carlo simulations. We show that, depending on environmental flexibility and genetic variability, the model exhibits a phase transition between extinction due to random drift and survival. For weak selection the population attains a neutral regime. The mean-field theory describes the infinite-size limit, while simulations are used to study quasistationary properties.

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AlgorithmsExtinction, PsychologicalGenetics, PopulationModels, GeneticMonte Carlo MethodMutationPopulation DynamicsTime FactorsJournal Article

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Kathia M Fehsenfeld, Ronald Dickman, Américo T Bernardes. 2003-03-24. Survival-extinction phase transition in a bit-string population with mutation.. https://doi.org/10.1103/physreve.67.031915

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