The fixation probability and time for a doubly beneficial mutant

S. Bossert and P. Pfaffelhuber

Stochastic Processes and their Applications, 2018, vol. 128, issue 12, 4018-4050

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.

Keywords: Interacting Wright–Fisher diffusions; Ancestral selection recombination graph; Branching process approximation; Inhomogeneous branching process with immigration (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:128:y:2018:i:12:p:4018-4050

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DOI: 10.1016/j.spa.2018.01.004

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