The conditional ancestral selection graph with strong balancing selection

John Wakeley and Ori Sargsyan

Theoretical Population Biology, 2009, vol. 75, issue 4, 355-364

Abstract: Using a heuristic separation-of-time-scales argument, we describe the behavior of the conditional ancestral selection graph with very strong balancing selection between a pair of alleles. In the limit as the strength of selection tends to infinity, we find that the ancestral process converges to a neutral structured coalescent, with two subpopulations representing the two alleles and mutation playing the role of migration. This agrees with a previous result of Kaplan et al., obtained using a different approach. We present the results of computer simulations to support our heuristic mathematical results. We also present a more rigorous demonstration that the neutral conditional ancestral process converges to the Kingman coalescent in the limit as the mutation rate tends to infinity.

Keywords: Ancestral selection graph; Structured coalescent; Balancing selection (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:75:y:2009:i:4:p:355-364

DOI: 10.1016/j.tpb.2009.04.002

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