Mathematical Constraints on FST: Biallelic Markers in Arbitrarily Many Populations
Mathematical Constraints on FST: Biallelic Markers in Arbitrarily Many Populations
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DOI：
10.1534/genetics.116.199141
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发表时间：
2017-07-01
期刊：
影响因子：
3.3
通讯作者：
Rosenberg, Noah A.
中科院分区：
文献类型：
--
作者：
Alcala, Nicolas;Rosenberg, Noah A.
F-ST是群体遗传学中应用最广泛的统计方法之一。最近的数学研究已经确定了一些限制因素，这些限制因素对F-ST的解释提出了挑战，F-ST的范围可能从基因相似的群体的0到基因不同的群体的1。我们将种群对的结果推广到任意多个种群，刻画了F-ST、多态双等位基因标记中频率较高的等位基因的频率M和亚种群K的数量之间的数学关系。我们证明，对于固定K， F-ST作为M的函数有一个特殊的约束，只有当M = i/K时，对于右垂直倒的整数i/左垂直倒的整数i， F-ST的最大值为1
F-ST is one of the most widely used statistics in population genetics. Recent mathematical studies have identified constraints that challenge interpretations of F-ST as a measure with potential to range from 0 for genetically similar populations to 1 for divergent populations. We generalize results obtained for population pairs to arbitrarily many populations, characterizing the mathematical relationship between F-ST, the frequency M of the more frequent allele at a polymorphic biallelic marker, and the number of subpopulations K. We show that for fixed K, F-ST has a peculiar constraint as a function of M, with a maximum of 1 only if M = i/K, for integers i with inverted right perpendicularK/2inverted left perpendicular