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

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:127

Article

Billiard, Sylvain¹  Smadi, Charline^2,3 

[1] Univ Sci & Technol Lille, CNRS, UMR 8198, Unite Evoecopaleo,Cite Sci, F-59655 Villeneuve Dascq, France

[2] Irstea, UR LISC, Lab Ingn Syst Complexes, 9 Ave Blaise Pascal,CS 20085, F-63178 Aubiere, France

[3] Univ Oxford, Dept Stat, 1 South Pk Rd, Oxford OX1 3TG, England

关键词: Eco-evolution;    Clonal interference;    Birth and death processes;    Lotka-Volterra systems;    Couplings;    Population genetics;   

DOI  :  10.1016/j.spa.2016.06.024

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free