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The interplay of two mutations in a population of varying size: A stochastic eco-evolutionary model for clonal interference

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  • Billiard, Sylvain
  • Smadi, Charline

Abstract

Clonal interference, competition between multiple beneficial mutations, has a major role in adaptation of asexual populations. We provide a simple stochastic model of clonal interference taking into account a wide variety of competitive interactions. The population evolves as a three-type birth-and-death process with type dependent competitions. This allows us to relax the classical assumption of transitivity between mutations, and to predict genetic patterns, such as coexistence of several mutants or emergence of Rock–Paper–Scissors cycles, which were not explained by existing models. In addition, we call into questions some classical preconceived ideas about fixation time and fixation probability of competing mutations.

Suggested Citation

  • Billiard, Sylvain & Smadi, Charline, 2017. "The interplay of two mutations in a population of varying size: A stochastic eco-evolutionary model for clonal interference," Stochastic Processes and their Applications, Elsevier, vol. 127(3), pages 701-748.
    • Handle: RePEc:eee:spapps:v:127:y:2017:i:3:p:701-748
    DOI: 10.1016/j.spa.2016.06.024
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    References listed on IDEAS

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    1. Champagnat, Nicolas, 2006. "A microscopic interpretation for adaptive dynamics trait substitution sequence models," Stochastic Processes and their Applications, Elsevier, vol. 116(8), pages 1127-1160, August.
    2. Smadi, Charline, 2015. "An eco-evolutionary approach of adaptation and recombination in a large population of varying size," Stochastic Processes and their Applications, Elsevier, vol. 125(5), pages 2054-2095.
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