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The conditional ancestral selection graph with strong balancing selection

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  • Wakeley, John
  • Sargsyan, Ori

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.

Suggested Citation

  • Wakeley, John & Sargsyan, Ori, 2009. "The conditional ancestral selection graph with strong balancing selection," Theoretical Population Biology, Elsevier, vol. 75(4), pages 355-364.
    • Handle: RePEc:eee:thpobi:v:75:y:2009:i:4:p:355-364
    DOI: 10.1016/j.tpb.2009.04.002
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    References listed on IDEAS

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    1. Matthew Stephens & Peter Donnelly, 2003. "Ancestral Inference in Population Genetics Models with Selection (with Discussion)," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 45(4), pages 395-430, December.
    2. Mano, Shuhei, 2009. "Duality, ancestral and diffusion processes in models with selection," Theoretical Population Biology, Elsevier, vol. 75(2), pages 164-175.
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    Cited by:

    1. Pokalyuk, Cornelia & Pfaffelhuber, Peter, 2013. "The ancestral selection graph under strong directional selection," Theoretical Population Biology, Elsevier, vol. 87(C), pages 25-33.

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