title: On the formula for admixture linkage disequilibrium.
abstract: Admixture linkage disequilibrium (ALD), a phenomenon created by gene flow between genetically distinct populations, has for some time been used as a tool in gene mapping. It is therefore important to analyze the pattern of ALD over generations. In this study we explore two models of admixture: the gradual admixture (GA) model, in which admixture occurs at a variable rate in every generation; and the immediate admixture (IA) model, a special case of the GA model, in which admixture occurs in a single generation. In the case of ALD, the well-known formula of linkage disequilibrium (Delta(t)=(1-r)t Delta(0)) is not applicable under these two models. We note the effect of a random mating population (RMP) to the gametic frequencies from the parental population to the offspring population, and provide the correct formula for ALD.
authors.affiliation: Department of Statistics and Actuarial Science, The University of Hong Kong, Hong Kong, China. guoweidora@hkusua.hku.hk
authors.forename: Wei
authors.initials: W
authors.lastname: Guo
authors.forename: Wing K
authors.initials: WK
authors.lastname: Fung
authors.forename: Ningzhong
authors.initials: N
authors.lastname: Shi
authors.forename: Jianhua
authors.initials: J
authors.lastname: Guo
mesh_terms: D002874:Chromosome Mapping / Q000379:methods*; D005828:Genetics, Population; D015810:Linkage Disequilibrium; D008957:Models, Genetic