On the Theory of Partially Inbreeding Finite Populations. II. Partial Sib Mating
AUTOR(ES)
Pollak, E.
RESUMO
It is assumed that a population has M males in every generation, each of which is permanently mated with c - 1 females, and that a proportion β of matings are between males and their full sisters or half-sisters. Recurrence equations are derived for the inbreeding coefficient of one random individual, coefficients of kinship of random pairs of mates and probabilities of allelic identity when the infinite alleles model holds. If F(t) is the inbreeding coefficient at time t and M is large, (1 - F(t))/(1 - F(t-1)) -> 1 - 1/(2N(e)) as t increases. The effective population number N(e) & aM/[1 + (2a - 1)F(IS)], where F(IS) is the inbreeding coefficient at equilibrium when M is infinite and the constant a depends upon the conditional probabilities of matings between full sibs and the two possible types of half-sibs. When there are M permanent couples, an approximation to the probability that an allele A survives if it is originally present in one AA heterozygote is proportional to F(IS)s(1) + (1 - F(IS))s(2), where s(1) and s(2) are the selective advantages of AA and AA in comparison with AA. The paper concludes with a comparison between the results when there is partial selfing, partial full sib mating (c = 2) and partial sib mating when c is large.
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=1203500Documentos Relacionados
- On the Theory of Partially Inbreeding Finite Populations. I. Partial Selfing
- On the Theory of Partially Inbreeding Finite Populations. III. Fixation Probabilities under Partial Selfing When Heterozygotes Are Intermediate in Viability
- Exact Inbreeding Coefficient and Effective Size of Finite Populations under Partial Sib Mating
- Systems of Mating. II. the Effects of Inbreeding on the Genetic Composition of a Population
- Systems of Mating. II. the Effects of Inbreeding on the Genetic Composition of a Population