Logistic model for soldier production in aphids

Summary The number of aphid soldiers in a colony is positively correlated with colony size. This positive correlation has been repeatedly confirmed for the bamboo aphid Pseudoregma bambucicola. To explain this, we present a simple model assuming logistic growth of the aphid colony. The model predicts that a first soldier is more readily produced in large colonies than in small colonies. This is because the productivity of each reproductive decreases as the colony size increases, and also because the efficiency of defense increases as the number of reproductives defended by the soldier increases. The latter effect disappears when the number of reproductives exceeds N_p, the critical number of reproductives that a predator could damage. This argument holds for a second, a third, and an ith soldier in general. Although we assume logistic growth of the aphid colony, the model is applicable to any form of colony growth with minor changes of some premises.Received 12 February 2003; revised 28 March 2003; accepted 22 April 2003.