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Modifiers of mutation rate in selectively fluctuating environments

Author

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  • Baumdicker, Franz
  • Sester-Huss, Elisabeth
  • Pfaffelhuber, Peter

Abstract

We study a mutation–selection model with a fluctuating environment. More precisely, individuals in a large population are assumed to have a modifier locus determining the mutation rate u∈[0,ϑ] at a second locus with types v∈[0,1]. In addition, the environment fluctuates, meaning that individual types change their fitness at some high rate. Fitness only depends on the type of the second locus. We obtain general limit results for the evolution of the allele frequency distribution for rapidly fluctuating environments. As an application, we make use of the resulting Fleming–Viot process and compute the fixation probabilities for higher mutation rates in the special case of two bi-allelic loci in the limit of small fitness differences at the second locus.

Suggested Citation

  • Baumdicker, Franz & Sester-Huss, Elisabeth & Pfaffelhuber, Peter, 2020. "Modifiers of mutation rate in selectively fluctuating environments," Stochastic Processes and their Applications, Elsevier, vol. 130(11), pages 6843-6862.
    • Handle: RePEc:eee:spapps:v:130:y:2020:i:11:p:6843-6862
    DOI: 10.1016/j.spa.2020.06.011
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    References listed on IDEAS

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    1. Csaba Pal & María D. Maciá & Antonio Oliver & Ira Schachar & Angus Buckling, 2007. "Coevolution with viruses drives the evolution of bacterial mutation rates," Nature, Nature, vol. 450(7172), pages 1079-1081, December.
    2. Taylor, Jesse E., 2008. "Environmental variation, fluctuating selection and genetic drift in subdivided populations," Theoretical Population Biology, Elsevier, vol. 74(3), pages 233-250.
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    Cited by:

    1. Avila, Piret & Lehmann, Laurent, 2023. "Life history and mutation rate joint evolution," IAST Working Papers 23-151, Institute for Advanced Study in Toulouse (IAST).

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