Inbreeding for isogeneity by backcrossing to a fixed parent in haploid and diploid eukaryotes

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Abstract
SUMMARY: The consequences of repeated backcrossing to a fixed parent are examined for haploid eukaryotes having a transitory diploid phase. The isogenicity attained in the absence of selected markers depends on the number of chromosomes and the total genetic map length, while the isogenicity of a chromosome carrying a selected marker increases more slowly and depends on the size of the chromosome. As inbreeding proceeds, the remaining non-isogenic material is not distributed evenly to all of the progeny. Instead, the majority of the progeny are completely isogenic with the fixed parent (with the exception of a region surrounding each selected marker), while the non-isogenic material is concentrated in a minority of the progeny. Even when the average isogenicity of the progeny and the fixed parent exceeds 99%, a significant proportion of the progeny will contain tracts of non-isogenic material which average several map units in length. Minor modifications enable these results to be applied to diploide. Examples show how to determine the degree of isogenicity produced by a given number of backcrosses in several specific situations.