Estimating the degree of sperm precedence in laboratory mating experiments: a maximum likelihood method

Allozyme polymorphisms have been used frequently in laboratory mating experiments to study patterns of sperm utilization in multiply mated females. In some instances, due either to chance or to design, there is a diagnostic difference between male genotypes that allows unambiguous assignment of paternity. In other instances, there is some overlap in allelic composition of males, so that attribution of paternity is often uncertain. This paper presents a statistical method for analyzing data of the second sort obtained from twice-mated females, based on the principle of maximum likelihood. The method allows the estimation of a mating parameter, psi the frequency with which sperm from the first male fertilizes the female's eggs. Various hypotheses about the null value of psi may be tested by a likelihood ratio test statistic. Also presented is a method of testing for homogeneity in psi values across different broods produced by the same female.