The Correlation between Relatives in a Simple Autotetraploid Population.

considered herein is that of the correlation between relatives in such a population. The assumption is that segregation is by chromosomes rather than chromatids; that is, if an individual is abcd, then there are six equally likely contributions to the offspring consisting of ab, ac, ad, bc, bd, and cd. We suppose that the phenotype (P) of an autotetraploid is made up additively of two parts which are uncorrelated, a genotypic value (G) and an environmental error (E) . It will be supposed that relatives are correlated only because their genotypic values are correlated and that there is no correlation between their environmental errors. We shall consider the case when only one locus is involved, and there are m. alleles involved, say Ai with frequencies p i , i = 1,2, . . , m The equilibrium population may be specified briefly by its genotypic array: