title: The IBD process along four chromosomes.
abstract: In this note, we present the continuous-time Markov rate matrix that models identity by descent (ibd) patterns among four chromosomes in a population. The equilibrium distribution of this Markov process along a chromosome is the set of 4-gene state probabilities given by the Ewens sampling formula. This model will facilitate inference of identity by descent among the four chromosomes of a pair of individuals, using data at dense SNP loci among which there may be linkage disequilibrium.
authors.affiliation: Department of Statistics, University of Washington, Box 354322, Seattle, WA 98195, USA. eathomp@u.washington.edu
authors.forename: E A
authors.initials: EA
authors.lastname: Thompson
mesh_terms: D002875:Chromosomes; D015894:Genome, Human; D040941:Heredity; D006801:Humans; D015810:Linkage Disequilibrium; D008390:Markov Chains; D008957:Models, Genetic; D020641:Polymorphism, Single Nucleotide