FACULTATIVE SEX ALLOCATION BIASING BY WORKERS IN SOCIAL HYMENOPTERA

A single-locus two-allele model is analyzed to determine the invasion conditions for facultative biasing of colony sex allocation by hymenopteran workers in response to queen mating frequency, for a situation in which colonies have a single queen mated to one or two males. Facultative biasing of sex allocation towards increased male production in double mated colonies and increased female production in single mated colonies can both invade when the population sex allocation ratio is at the worker optimum. However, when the population sex allocation ratio is more male biased than the worker optimum, plausibly due to mixed queen and worker control, it is likely that only increased female allocation in colonies perceived by the workers to have single mated queens can invade. In this case, the frequency of mistakes made by workers in assessing queen mating frequency is an important constraint on the invasion of facultative male biasing in colonies perceived to have a double mated queen. When the population sex allocation ratio is not between the optima for workers in single and double mated colonies, plausibly due to strong queen control, then facultative biasing cannot invade. In this situation, workers in all colonies should attempt to bias allocation towards increased females. Worker male production in queenright colonies (provided not all males are worker-derived), unequal sperm use by double mated queens, and the amount of facultative biasing, do not alter these results.