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
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
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DOI:
10.1016/j.tpb.2014.08.001
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发表时间:
2014-11-01
影响因子:
1.4
通讯作者:
Rosenberg, Noah A.
中科院分区:
文献类型:
--
作者:
Edge, Michael D.;Rosenberg, Noah A.
F-ST is one of the most frequently-used indices of genetic differentiation among groups. Though F-ST takes values between 0 and 1, authors going back to Wright have noted that under many circumstances, F-ST is constrained to be less than 1. Recently, we showed that at a genetic locus with an unspecified number of alleles, F-ST 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 (H-T). In the two-subpopulation case, F-ST 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 F-ST 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 F-ST over much of the allowable domain for M and H-T, and we derive more restrictive bounds in the windows M is an element of[1/I, 1/(I - 1)) and H-T is an element of [1/I, I/(I-2 - 1)). These results extend our understanding of the behavior of F-ST in relation to other population-genetic statistics. (C) 2014 Elsevier Inc. All rights reserved.