title: The role of marriage rules in the structure of genetic relatedness.
abstract: In this work, we take a forward in time approach to compute the probabilities of non-identity by descent for a population consisting of n sections obeying one of a class of marriage rules that is invariant under cyclical relabeling of sections. A perturbation method allows for exact asymptotics using the reciprocal of the section population as a small parameter. The analysis yields relatedness measures that generalize Wright's F-statistics.
authors.affiliation: Department of Mathematics, University of Arizona, Tucson, Arizona 85721, USA. jwatkins@math.arizona.edu
authors.forename: Joseph C
authors.initials: JC
authors.lastname: Watkins
mesh_terms: D000465:Algorithms; D005260:Female; D005828:Genetics, Population; D006801:Humans; D008297:Male; D008393:Marriage / Q000706:statistics & numerical data*; D008962:Models, Theoretical