Survival-extinction phase transition in a bit-string population with mutation.
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.
Fehsenfeld
Kathia M
KM
Departamento de Física, ICEx, Caixa Postal 702, Universidade Federal de Minas Gerais, 30123-970 Belo Horizonte, Minas Gerais, Brazil. kathia@escelsa.com.br
Dickman
Ronald
R
Bernardes
Américo T
AT
D000465:Algorithms; D005108:Extinction, Psychological; D005828:Genetics, Population; D008957:Models, Genetic; D009010:Monte Carlo Method; D009154:Mutation; D011157:Population Dynamics; D013997:Time Factors