@peter.ralph

Fixation in bisexual models with variable population sizes

. J. Appl. Probab., 34 (2): 436--448 (1997)

Abstract

A generalexchangeable bisexualmodelwith variable populationsizes is introduced. First the forward process,i.e. the numberof certaindescending pairs,is studied.For the bisexual Wright-Fishermodelfixationof the descendants occurs, theirproportion i.e. tendsto 0 or 1 almostsurely. Themainpartof this articledealswithnecessary sufficient and conditions ultimate for homozygosity, the proportionof an arbitrarily i.e. chosen allelic type tends to 0 or 1 almostsurely. results applied a bisexual The are to Wright-Fisher modelandto a bisexual Moranmodel.

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