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The fixation probability and time for a doubly beneficial mutant

Author

Listed:
  • Bossert, S.
  • Pfaffelhuber, P.

Abstract

For a highly beneficial mutant A entering a randomly reproducing population of constant size, we study the situation when a second beneficial mutant B arises before A has fixed. If the selection coefficient of B is greater than the selection coefficient of A, and if A and B can recombine at some rate ρ, there is a chance that the double beneficial mutant AB forms and eventually fixes. We give a convergence result for the fixation probability of AB and its fixation time for large selection coefficients.

Suggested Citation

  • Bossert, S. & Pfaffelhuber, P., 2018. "The fixation probability and time for a doubly beneficial mutant," Stochastic Processes and their Applications, Elsevier, vol. 128(12), pages 4018-4050.
    • Handle: RePEc:eee:spapps:v:128:y:2018:i:12:p:4018-4050
    DOI: 10.1016/j.spa.2018.01.004
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    References listed on IDEAS

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    1. Pokalyuk, Cornelia & Pfaffelhuber, Peter, 2013. "The ancestral selection graph under strong directional selection," Theoretical Population Biology, Elsevier, vol. 87(C), pages 25-33.
    2. Yu, Feng & Etheridge, Alison, 2010. "The fixation probability of two competing beneficial mutations," Theoretical Population Biology, Elsevier, vol. 78(1), pages 36-45.
    3. Mano, Shuhei, 2009. "Duality, ancestral and diffusion processes in models with selection," Theoretical Population Biology, Elsevier, vol. 75(2), pages 164-175.
    Full references (including those not matched with items on IDEAS)

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