
We find that the hypothesis made by Jan, Stauffer and Moseley [Theory in Biosc., 119, 166 (2000)] for the evolution of sex, namely a strategy devised to escape extinction due to too many deleterious mutations, is sufficient but not necessary for the successful evolution of a steady state population of sexual individuals within a finite population. Simply allowing for a finite probability for conversion to sex in each generation also gives rise to a stable sexual population, in the presence of an upper limit on the number of deleterious mutations per individual. For large values of this probability, we find a phase transition to an intermittent, multi-stable regime. On the other hand, in the limit of extremely slow drive, another transition takes place to a different steady state distribution, with fewer deleterious mutations within the asexual population.
RevTeX, 11 pages, multicolumn, including 12 figures
Male, Time Factors, Evolution, Biophysics, Mitosis, FOS: Physical sciences, Condensed Matter - Soft Condensed Matter, Haploidy, Senescence, Biophysical Phenomena, Penna model, Evolution, Molecular, Centre of gravity, Genetics, Animals, Physics - Biological Physics, Cloning, Molecular, Quantitative Biology - Populations and Evolution, Biology, Condensed Matter - Statistical Mechanics, Probability, Mathematical models, Models, Genetic, Statistical Mechanics (cond-mat.stat-mech), Physics, Reproduction, Populations and Evolution (q-bio.PE), Viscoelasticity, Hypothesis, Sex Determination Processes, Diploidy, Genes, Phase transitions, Biological Physics (physics.bio-ph), FOS: Biological sciences, Mutation, Soft Condensed Matter (cond-mat.soft), Sex, Female, Statistical mechanics, Asexual steady state, Model
Male, Time Factors, Evolution, Biophysics, Mitosis, FOS: Physical sciences, Condensed Matter - Soft Condensed Matter, Haploidy, Senescence, Biophysical Phenomena, Penna model, Evolution, Molecular, Centre of gravity, Genetics, Animals, Physics - Biological Physics, Cloning, Molecular, Quantitative Biology - Populations and Evolution, Biology, Condensed Matter - Statistical Mechanics, Probability, Mathematical models, Models, Genetic, Statistical Mechanics (cond-mat.stat-mech), Physics, Reproduction, Populations and Evolution (q-bio.PE), Viscoelasticity, Hypothesis, Sex Determination Processes, Diploidy, Genes, Phase transitions, Biological Physics (physics.bio-ph), FOS: Biological sciences, Mutation, Soft Condensed Matter (cond-mat.soft), Sex, Female, Statistical mechanics, Asexual steady state, Model
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