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Theor Popul Biol. 2004 Dec;66(4):381-91.

Polyploid and multilocus extensions of the Wahlund inequality.

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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.


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".

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