ALLELE FREQUENCIES IN MULTIGENE FAMILIES
Abstract: Results on allelle
frequencies in three chromosomes, drawn at random from a diploid population,
evolving in equilibrium, at a particular generation, are presented in this
paper. The genes on each chromosome are subject to unbiased and reciprocal gene
conversion and mutation. Using the coalescent approach we find the probability
distribution of the allelic configurations in the three chromosomes, and the
moments of the allelic numbers that exist in one of the three chromosomes or in
a pair of chromosomes. We also consider the identity coefficients of two genesdrawn
at random, one from each of two chromosomes, and the probability that all genes
in the three chromosomes are monomorphic. Numerical examples are alsogiven
together with simulation results, and they agree well.
Key words and Phrases:
Coalescent approach, allelic configurations, identity coefficients, monomorphic
probability
Author: S. Padmadisastra
Journal Code: jpmatematikagg100010
