A Probability Method for Treating Inbreeding Systems, Especially with Linked Genes

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Abstract
A simple method was developed to handle inbreeding systems in terms of probability rather than in terms of correlation as in Wright''s theory. As applied to the case of a single gene, the method is similar to Malecot''s approach. As applied to linked loci, it yields all the main results obtained by Wright through the method of path coefficients. Though it should be equivalent to Wright''s method, the present method may have an advantage in that it utilizes only simple probability calculations. In addition to the conventional inbreeding systems, the method was applied to a circular mating system.

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