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Evolutionary dynamics of a quantitative trait in a finite asexual population

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  • Débarre, Florence
  • Otto, Sarah P.

Abstract

In finite populations, mutation limitation and genetic drift can hinder evolutionary diversification. We consider the evolution of a quantitative trait in an asexual population whose size can vary and depends explicitly on the trait. Previous work showed that evolutionary branching is certain (“deterministic branching†) above a threshold population size, but uncertain (“stochastic branching†) below it. Using the stationary distribution of the population’s trait variance, we identify three qualitatively different sub-domains of “stochastic branching†and illustrate our results using a model of social evolution. We find that in very small populations, branching will almost never be observed; in intermediate populations, branching is intermittent, arising and disappearing over time; in larger populations, finally, branching is expected to occur and persist for substantial periods of time. Our study provides a clearer picture of the ecological conditions that facilitate the appearance and persistence of novel evolutionary lineages in the face of genetic drift.

Suggested Citation

  • Débarre, Florence & Otto, Sarah P., 2016. "Evolutionary dynamics of a quantitative trait in a finite asexual population," Theoretical Population Biology, Elsevier, vol. 108(C), pages 75-88.
    • Handle: RePEc:eee:thpobi:v:108:y:2016:i:c:p:75-88
    DOI: 10.1016/j.tpb.2015.12.002
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    References listed on IDEAS

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    1. Ulf Dieckmann & Michael Doebeli, 1999. "On the origin of species by sympatric speciation," Nature, Nature, vol. 400(6742), pages 354-357, July.
    2. U. Dieckmann & M. Doebeli, 1999. "On the Origin of Species by Sympatric Speciation," Working Papers ir99013, International Institute for Applied Systems Analysis.
    3. M. Doebeli & U. Dieckmann, 2000. "Evolutionary Branching and Sympatric Speciation Caused by Different Types of Ecological Interactions," Working Papers ir00040, International Institute for Applied Systems Analysis.
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    Cited by:

    1. Mullon, Charles & Lehmann, Laurent, 2017. "Invasion fitness for gene–culture co-evolution in family-structured populations and an application to cumulative culture under vertical transmission," Theoretical Population Biology, Elsevier, vol. 116(C), pages 33-46.

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