Article,

Junctions in inbreeding

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Genetica, 26 (5-6): 392-406 (1953)

Abstract

For a regular system of inbreeding, the genetic consequences of primary importance are embodied in the generation matrix which may be constructed for matings relative to a single locus. In con- sidering the heterogeneity of the germ plasm, the initial state at each locus may be taken to be that of greatest complexity. It follows that if the probability of a mating being heterogeneous at any locus in a given generation is p and is the same for all loci, then for k loci, with any linkage relations, the expected number in the heterogeneous condition is kp. However, closely linked loci are more likely to be in the same state, either heterogeneous or homogeneous, than loci showing loose linkage and it is of some little interest to consider the number and typical length of the separate heterogeneous tracts after many generations. Such a discussion has been given for the sib-mating of disomic organisms by FISHER (I949). As the approach through junctions constitutes an important advance in inbreeding theory, further discussions of the method seem desirable.

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