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Theor Popul Biol. 2004 Aug;66(1):13-24.

The role of marriage rules in the structure of genetic relatedness.

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  • 1Department of Mathematics, University of Arizona, Tucson, Arizona 85721, USA. jwatkins@math.arizona.edu

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.

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