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INBREEDING IN POPULATIONS WITH OVERLAPPING GENERATIONS
D. L. Johnson 1
1 Institute of Animal Genetics, West Mains Road, Edinburgh,
Scotland
An inbreeding matrix is defined for populations with overlapping generations. In the short term it can be expressed in terms of a matrix specifying the passage of genes between the different age groups (and sexes) and a diagonal matrix whose elements depend on the number of individuals in each age group. Formulae for the inbreeding effective number are derived using matrix theory. A comparison is made between the inbreeding coefficients predicted by this theory and those obtained by assuming a uniform rate of inbreeding from the outset, and these in turn are compared with the exact inbreeding coefficients.
Submitted on November 22, 1976Revised on July 6, 1977
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