Some statistical aspects of cytonuclear disequilibria

摘要

The purpose of this paper is to review the statistical properties of cytonuclear disequilibria, which measure the association of cytoplasmic genes with nuclear genes and genotypes within a hybrid zone, under different evolutionary models. We report the exact dynamics of the expected cytonuclear genotypic disequilibria for both the homozygotes and heterozygotes in a finite population, with or without having reproductively isolated subdivisions, under random drift alone and random drift along with mutation. The dynamics for the variance is studied using Monte Carlo simulation for a subdivided population, whereas its exact formula for a single undivided population is available. The asymptotic formulas for both the expectation and variance are obtained which are compared between populations with and without reproductive barriers. Construction of a of goodness of fit type statistical test using the dynamics of the cytonuclear disequilibria is discussed. An existing test in an undivided population is reviewed and a new test for a subdivided population is outlined.