title: The extent of linkage disequilibrium and haplotype sharing around a polymorphic site.
abstract: Various expressions related to the length of a conserved haplotype around a polymorphism of known frequency are derived. We obtain exact expressions for the probability that no recombination has occurred in a sample or subsample. We obtain an approximation for the probability that no recombination that could give rise to a detectable recombination event (through the four-gamete test) has occurred. The probabilities can be used to obtain approximate distributions for the length of variously defined haplotypes around a polymorphic site. The implications of our results for data analysis, and in particular for detecting selection, are discussed.
mesh_terms: D003627:Data Interpretation, Statistical; D006239:Haplotypes; D015810:Linkage Disequilibrium; D008957:Models, Genetic; D010802:Phylogeny; D011110:Polymorphism, Genetic; D011995:Recombination, Genetic