Abstract
SummaryThe amount of linkage of disequilibrium maintained in a two-locus infinite population model by gene conversion and recombination is examined. Intrachromosomal conversion (conversion between different loci on the same chromosome) generates positive linkage disequilibrium. Specifically,=p(1 −p) [1 −r/(γ +r− γr)], wherepis the frequency of alleleAat both loci,ris the recombination rate between loci and γ is the per-gamete conversion rate. Somewhat unexpectedly, interchromosomal conversion (conversion between loci on different chromosomes) also generates positive disequilibrium, albeit very small. More interestingly, the behaviour of this disequilibrium as a function of recombination is unusual. If β is the interchromosomal conversion rate between a pair of loci, then=p(1 −p) [rβ/(β+r− βr)].increaseswith increasing recombination, being zero for the case of complete linkage (r= 0), and maximized atr= 1/2. This unusual behaviour can be accounted for by the generation of excess coupling gametes when an interchromosomal conversion event is followed by recombination.
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