Testing a Hypothesis for the Evolution of Sex

Örçal, Bora; Tüzel, Erkan; Sevi̇m, Volkan; Jan, Naeem; Erzan, Ayşe

doi:10.1142/s0129183100000821

Cited by 12 publications

(20 citation statements)

References 8 publications

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“…For large β (or "low temperatures," in the language of statistical mechanics), P (m) behaves like a step function [1]. Individuals with m > µ die, those with m < µ survive, and those with m = µ survive with a probability of 1/2.…”

Section: Models For Conversion To Sexmentioning

confidence: 99%

Strategies for the evolution of sex

2001

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We find that the hypothesis made by Jan, Stauffer, and Moseley ͓Theory Biosci. 119, 166 ͑2000͔͒ 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, multistable 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 population.

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Section: Models For Conversion To Sexmentioning

confidence: 99%

Strategies for the evolution of sex

2001

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“…On testing an hypothesis on the evolution of sex,Örçal et al 1,2 observed that the steady state distribution of mutations in an asexual bacteria model appeared to be similar to that seen for the steady state distribution of sand in the SOC model of Bak et al 3 The genome of each bacterium is represented by a single bit-string. 4 It was pointed out that only with the inclusion of age structure that the bacteria used here may be considered as the Penna model.…”

Section: Introductionmentioning

confidence: 82%

“…Orçal et al 1 observed that the steady state distribution of mutations of the asexual population driven by Muller's ratchet 6 had a shape similar to the steady state distribution of sand in the sandpile model. In this work, we explore the sandpile model and the bacteria model and show that there are significant differences between the two models that prevent the appearance of avalanches on all scales in the biological model.…”

Section: Introductionmentioning

confidence: 94%

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Self-Organized Criticality in an Asexual Model?

Chisholm

Jan

Gibbs

et al. 2000

Int. J. Mod. Phys. C

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Recent work has shown that the distribution of steady state mutations for an asexual "bacteria" model has features similar to that seen in Self-Organized Critical (SOC) sandpile model of Bak et al. We investigate this coincidence further and search for "selforganized critical" state for bacteria but instead find that the SOC sandpile critical behavior is very sensitive; critical behavior is destroyed with small perturbations effectively when the absorption of sand is introduced. It is only in the limit when the length of the genome of the bacteria tends to infinity that SOC properties are recovered for the asexual model.

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“…Because of the lack of an explicit genome, intermediate forms of reproduction as meiotic parthenogenesis and hermaphroditism were not simulated. A more realistic model, involving an explicit genome in the form of bitstrings, was more recently used byÖrçal et al [3] to investigate intermediate reproductive regimes. It makes use of a parameter µ, introduced before by Jan et al [4], defined such that only individuals with µ and more mutations exchange genome.…”

Section: Introductionmentioning

confidence: 99%