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Muller’s ratchet clicks in finite time

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  • Audiffren, Julien
  • Pardoux, Etienne

Abstract

We consider the accumulation of deleterious mutations in an asexual population, a phenomenon known as Muller’s ratchet, using the continuous time model proposed by Alison et al. (2009) [4]. We show that for any parameter λ>0 (the rate at which mutations occur), for any α>0 (the toxicity of the mutations) and for any size N>0 of the population, the ratchet clicks a.s. in finite time. That is to say the minimum number of deleterious mutations in the population goes to infinity a.s.

Suggested Citation

  • Audiffren, Julien & Pardoux, Etienne, 2013. "Muller’s ratchet clicks in finite time," Stochastic Processes and their Applications, Elsevier, vol. 123(6), pages 2370-2397.
    • Handle: RePEc:eee:spapps:v:123:y:2013:i:6:p:2370-2397
    DOI: 10.1016/j.spa.2013.02.008
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