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Mathematical properties of Fst between admixed populations and their parental source populations

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  • Boca, Simina M.
  • Rosenberg, Noah A.

Abstract

We consider the properties of the Fst measure of genetic divergence between an admixed population and its parental source populations. Among all possible populations admixed among an arbitrary set of parental populations, we show that the value of Fst between an admixed population and a specific source population is maximized when the admixed population is simply the most distant of the other source populations. For the case with only two parental populations, as a function of the admixture fraction, we further demonstrate that this Fst value is monotonic and convex, so that Fst is informative about the admixture fraction. We illustrate our results using example human population-genetic data, showing how they provide a framework in which to interpret the features of Fst in admixed populations.

Suggested Citation

  • Boca, Simina M. & Rosenberg, Noah A., 2011. "Mathematical properties of Fst between admixed populations and their parental source populations," Theoretical Population Biology, Elsevier, vol. 80(3), pages 208-216.
    • Handle: RePEc:eee:thpobi:v:80:y:2011:i:3:p:208-216
    DOI: 10.1016/j.tpb.2011.05.003
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    References listed on IDEAS

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    1. Barbara E Engelhardt & Matthew Stephens, 2010. "Analysis of Population Structure: A Unifying Framework and Novel Methods Based on Sparse Factor Analysis," PLOS Genetics, Public Library of Science, vol. 6(9), pages 1-12, September.
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