Accession Number:

AD0436583

Title:

THE APPROACH TO HOMOZYGOSITY IN A DIPLOID SELFING SERIES WITH NO MUTATION OR SELECTION,

Descriptive Note:

Corporate Author:

NEW YORK STATE COLL OF AGRICULTURE ITHACA

Personal Author(s):

Report Date:

1964-03-01

Pagination or Media Count:

22.0

Abstract:

In a diploid selfing series the expected rate of loss of heterozygosity is 50 per generation, provided that mutations and selection do not occur. If the heterozygous loci are randomly distributed over the n chromosome pairs then deviations from this mean rate must be approximately normally distributed and hence essentially dependent only on the cross-over probabilities between pairs of loci. The variance in this case indicates that a large number of linked loci will effectively behave the same as 1.5 nk unlinked loci, where 50 k is the average chromosome length measured in cross-over units. For N independently segregating loci the most probable number of generations required to reach complete homozygosity is approximately log2N, and there is a 50 chance of achieving this state before - log2 1-2 to the minus 1 over N power generations have elapsed. The mathematical analysis of this system is facilitated by its representation as a Markov chain. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE