ArticleTheoretical population biology2014
Upper bounds on FST in terms of the frequency of the most frequent allele and total homozygosity: the case of a specified number of alleles.
Article in Theoretical population biology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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15 citing papers in PubMed, 30 citations in OpenAlex.
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- Enrichment analyses identify shared associations for 25 quantitative traits in over 600,000 individuals from seven diverse ancestries.American journal of human genetics · 2022Article
- Evolution of flowering time in a selfing annual plant: Roles of adaptation and genetic drift.Ecology and evolution · 2022Article
- Estimating FST and kinship for arbitrary population structures.PLoS genetics · 2021Article
- On the heterozygosity of an admixed population.Journal of mathematical biology · 2020Article
- The Relationship Between Haplotype-BasedGenetics · 2019Article
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- Bounding measures of genetic similarity and diversity using majorization.Journal of mathematical biology · 2018Article
- The Effect of Balancing Selection on Population Differentiation: A Study with HLA Genes.G3 (Bethesda, Md.) · 2018Article
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- Mathematical Constraints onGenetics · 2017Article
- Enhancing the mathematical properties of new haplotype homozygosity statistics for the detection of selective sweeps.Theoretical population biology · 2015Article
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Abstract
FST is one of the most frequently-used indices of genetic differentiation among groups. Though FST takes values between 0 and 1, authors going back to Wright have noted that under many circumstances, FST is constrained to be less than 1. Recently, we showed that at a genetic locus with an unspecified number of alleles, FST for two subpopulations is strictly bounded from above by functions of both the frequency of the most frequent allele (M) and the homozygosity of the total population (HT). In the two-subpopulation case, FST can equal one only when the frequency of the most frequent allele and the total homozygosity are 1/2. Here, we extend this work by deriving strict bounds on FST for two subpopulations when the number of alleles at the locus is specified to be I. We show that restricting to I alleles produces the same upper bound on FST over much of the allowable domain for M and HT, and we derive more restrictive bounds in the windows M∈[1/I,1/(I-1)) and HT∈[1/I,I/(I(2)-1)). These results extend our understanding of the behavior of FST in relation to other population-genetic statistics.
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