Effects of energy requirements and worker mortality on colony growth and foraging in the honey bee

Summary A model of colony growth and foraging in the honey bee (Apis mellifera L.) is presented. It is assumed that summer workers choose a foraging strategy that maximizes colony population by the end of the season subject to the constraint that enough nectar has been stored to sustain the adult population overwinter. The optimal foraging strategy is derived with respect to the number of flowers visited during one foraging trip. A forager that visits many flowers collects a substantial amount of nectar but the probability that the worker returns alive from the excursion decreases accordingly. Using dynamic modelling, I explore the effects on colony growth of colony population, colony energy requirements and mortality rate while foraging. The model shows that when the expected rate of increase in nectar reserves is low, for instance in small colonies or when mortality rate rises rapidly with foraging intensity, workers collect more nectar during each foraging trip. The increase in foraging activity is realized at the expense of colony growth. The main finding is that depending on colony status the foraging strategy that maximizes worker population implies visits to almost any number of flowers. This is in sharp contrast to predictions from traditional foraging models where foraging intensity is assumed to cluster around values that maximize net rate or efficiency. The model suggests that strategies that cluster around rate and efficiency maximization should be viewed as particular solutions to a more general problem.