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The impact of dormancy on evolutionary branching

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  • Blath, Jochen
  • Paul, Tobias
  • Tóbiás, András
  • Wilke Berenguer, Maite

Abstract

In this paper, we investigate the consequences of dormancy in the ‘rare mutation’ and ‘large population’ regime of stochastic adaptive dynamics. Starting from an individual-based micro-model, we first derive the Polymorphic Evolution Sequence of the population, based on a previous work by Baar and Bovier (2018). After passing to a second ‘small mutations’ limit, we arrive at the Canonical Equation of Adaptive Dynamics, and state a corresponding criterion for evolutionary branching, extending a previous result of Champagnat and Méléard (2011).

Suggested Citation

  • Blath, Jochen & Paul, Tobias & Tóbiás, András & Wilke Berenguer, Maite, 2024. "The impact of dormancy on evolutionary branching," Theoretical Population Biology, Elsevier, vol. 156(C), pages 66-76.
    • Handle: RePEc:eee:thpobi:v:156:y:2024:i:c:p:66-76
    DOI: 10.1016/j.tpb.2024.02.003
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    References listed on IDEAS

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    1. 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.
    2. Blath, Jochen & Tóbiás, András, 2020. "Invasion and fixation of microbial dormancy traits under competitive pressure," Stochastic Processes and their Applications, Elsevier, vol. 130(12), pages 7363-7395.
    3. Ulf Dieckmann & Michael Doebeli, 1999. "On the origin of species by sympatric speciation," Nature, Nature, vol. 400(6742), pages 354-357, July.
    4. U. Dieckmann & M. Doebeli, 1999. "On the Origin of Species by Sympatric Speciation," Working Papers ir99013, International Institute for Applied Systems Analysis.
    5. Jay T. Lennon & Frank den Hollander & Maite Wilke-Berenguer & Jochen Blath, 2021. "Principles of seed banks and the emergence of complexity from dormancy," Nature Communications, Nature, vol. 12(1), pages 1-16, December.
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