title: Polyploid and multilocus extensions of the Wahlund inequality.
abstract: 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".
authors.affiliation: 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. noahr@usc.edu
authors.forename: Noah A
authors.initials: NA
authors.lastname: Rosenberg
authors.forename: Peter P
authors.initials: PP
authors.lastname: Calabrese
mesh_terms: D002874:Chromosome Mapping; D006720:Homozygote; D018895:Microsatellite Repeats / Q000235:genetics; D008962:Models, Theoretical; D011123:Polyploidy