The ancestral selection graph under strong directional selection

Cornelia Pokalyuk and Peter Pfaffelhuber

Theoretical Population Biology, 2013, vol. 87, issue C, 25-33

Abstract: The ancestral selection graph (ASG) was introduced by Neuhauser and Krone (1997) in order to study populations of constant size which evolve under selection. Coalescence events, which occur at rate 1 for every pair of lines, lead to joint ancestry. In addition, splitting events in the ASG at rate α, the scaled selection coefficient, produce possible ancestors, such that the real ancestor depends on the ancestral alleles. Here, we use the ASG in the case without mutation in order to study fixation of a beneficial mutant. Using our main tool, a reversibility property of the ASG, we provide a new proof of the fact that a beneficial allele fixes roughly in time (2logα)/α if α is large.

Keywords: Coalescent; Random tree; Moran model; Reversibility (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:87:y:2013:i:c:p:25-33

DOI: 10.1016/j.tpb.2012.09.005

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