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Evolutionary branching in a stochastic population model with discrete mutational steps

Author

Listed:
  • Sagitov, S.
  • Mehlig, B.
  • Jagers, P.
  • Vatutin, V.

Abstract

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a trait, and also by population sizes, and that mutations lead to small changes ϵ in trait value. Then, traditionally, the evolutionary dynamics is studied in the limit ϵ→0. In the present approach, small but non-negligible mutational steps are considered. By means of theoretical analysis in the limit of infinitely large populations, as well as computer simulations, we demonstrate how discrete mutational steps affect the patterns of evolutionary branching. We also argue that the average time to the first branching depends in a sensitive way on both mutational step size and population size.

Suggested Citation

  • Sagitov, S. & Mehlig, B. & Jagers, P. & Vatutin, V., 2013. "Evolutionary branching in a stochastic population model with discrete mutational steps," Theoretical Population Biology, Elsevier, vol. 83(C), pages 145-154.
    • Handle: RePEc:eee:thpobi:v:83:y:2013:i:c:p:145-154
    DOI: 10.1016/j.tpb.2012.09.002
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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. U. Dieckmann & R. Law, 1996. "The Dynamical Theory of Coevolution: A Derivation from Stochastic Ecological Processes," Working Papers wp96001, International Institute for Applied Systems Analysis.
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