On the method of formalization of recombination process in poligenic models

✍ Scribed by Ginsburg, E. H.

• Publisher: Wiley (John Wiley & Sons)
• Year: 1975
• Weight: 269 KB
• Volume: 17
• Category: Article
• ISSN: 0006-3452
• DOI: 10.1002/bimj.19750170107

✦ Synopsis

Institute of Cytology and Genetics. Sibirian Division of Acad. Sci. of USSR Sovosibirsk

On the method of formalization of recombination process in poligenic models E . 11. GINSBURG A serious difficulty in formalized description of poligenic character inheritance is the obtaining of an explicit form of conditional distribution of gametes produced by an individuum with a given genotype, and the form of conditional distribution of progeny genotypes produced by a pair of parents with given genotypes too. Theoretical description of genetical processes and the simulation of these processes in computers requirs these distributions.

One of the possible methods of simplification of description of allelic combinations which are obtained in reconibination process is proposed.

1. Let the investigated poligenic character be formed under the control of L loci with A l , A?, . . . , A , alleles in the first, second, . . . , L-th locus accordingly. Now let t1 be the number of the allele of I-th locus (E, = I, 2, .