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

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.
Keywords : STOCHASTIC MODELS
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https://hal.archives-ouvertes.fr/hal-01394712
Déposant : Anne-Gestion Labo Duputié <>
Soumis le : mercredi 9 novembre 2016 - 16:27:09
Dernière modification le : mercredi 21 octobre 2020 - 03:40:45

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Sylvain Billiard, Charline Smadi. 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, 2017, 127 (3), pp.701-748. ⟨10.1016/j.spa.2016.06.024⟩. ⟨hal-01394712⟩

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