Rosenberg Noah A, Calabrese Peter P
Program in Molecular and Computational Biology, Department of Biological Sciences, University of Southern California, 1042 West 36th Place--DRB 289, Los Angeles, CA 90089, USA.
Theor Popul Biol. 2004 Dec;66(4):381-91. doi: 10.1016/j.tpb.2004.07.001.
Wahlund's inequality informally states that if a structured and an unstructured population have the same allele frequencies at a locus, the structured population contains more homozygotes. We show that this inequality holds generally for ploidy level P, that is, the structured population has more P-polyhomozygotes. Further, for M randomly chosen loci (M >or= 2), the structured population is also expected to contain more M-multihomozygotes than an unstructured population with the same single-locus homozygosities. The extended inequalities suggest multilocus identity coefficients analogous to F(ST). Using microsatellite genotypes from human populations, we demonstrate that the multilocus Wahlund inequality can explain a positive bias in "identity-in-state excess".
瓦伦德不等式非正式地表明，如果一个结构化群体和一个非结构化群体在某一位点具有相同的等位基因频率，那么结构化群体中纯合子的数量更多。我们证明，对于倍性水平P，该不等式普遍成立，即结构化群体具有更多的P - 多纯合子。此外，对于M个随机选择的位点（M≥2），与具有相同单一位点纯合性的非结构化群体相比，结构化群体预计也含有更多的M - 多纯合子。这些扩展的不等式表明了类似于F(ST)的多位点同一性系数。利用人类群体的微卫星基因型，我们证明了多位点瓦伦德不等式可以解释“状态同一性过量”中的正偏差。
