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Estimation of Selection Intensity under Overdominance by Bayesian Methods

Author

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  • Buzbas Erkan Ozge

    (University of Idaho)

  • Joyce Paul

    (University of Idaho)

  • Abdo Zaid

    (University of Idaho)

Abstract

A balanced pattern in the allele frequencies of polymorphic loci is a potential sign of selection, particularly of overdominance. Although this type of selection is of some interest in population genetics, there exists no likelihood based approaches specifically tailored to make inference on selection intensity. To fill this gap, we present Bayesian methods to estimate selection intensity under k-allele models with overdominance. Our model allows for an arbitrary number of loci and alleles within a locus. The neutral and selected variability within each locus are modeled with corresponding k-allele models. To estimate the posterior distribution of the mean selection intensity in a multilocus region, a hierarchical setup between loci is used. The methods are demonstrated with data at the Human Leukocyte Antigen loci from world-wide populations.

Suggested Citation

  • Buzbas Erkan Ozge & Joyce Paul & Abdo Zaid, 2009. "Estimation of Selection Intensity under Overdominance by Bayesian Methods," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 8(1), pages 1-24, June.
    • Handle: RePEc:bpj:sagmbi:v:8:y:2009:i:1:n:32
    DOI: 10.2202/1544-6115.1466
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    References listed on IDEAS

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    1. P. Damlen & J. Wakefield & S. Walker, 1999. "Gibbs sampling for Bayesian non‐conjugate and hierarchical models by using auxiliary variables," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(2), pages 331-344, April.
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    1. Ferguson, Jake M. & Buzbas, Erkan Ozge, 2018. "Inference from the stationary distribution of allele frequencies in a family of Wright–Fisher models with two levels of genetic variability," Theoretical Population Biology, Elsevier, vol. 122(C), pages 78-87.
    2. Steinrücken, Matthias & Wang, Y.X. Rachel & Song, Yun S., 2013. "An explicit transition density expansion for a multi-allelic Wright–Fisher diffusion with general diploid selection," Theoretical Population Biology, Elsevier, vol. 83(C), pages 1-14.
    3. Buzbas, Erkan Ozge & Joyce, Paul & Rosenberg, Noah A., 2011. "Inference on the strength of balancing selection for epistatically interacting loci," Theoretical Population Biology, Elsevier, vol. 79(3), pages 102-113.

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