Models for the evolution of protandry in insects

Protandry is the tendency for males to emerge before females, and it is common in insects with discrete, nonoverlapping generations in which females mate once only soon after emergence. In these circumstances males which emerge early will have more opportunities to mate than those which emerge late, so that protandry would be expected to evolve through sexual selection. In diploid species in which the primary sex ratio is fixed, protandry can evolve only through shortening the developmental time of males, so changing the distribution of their emergence times. Two models of the evolution of protandry in this way are compared. The first model assumes that the distribution of male emergence times can respond without any constraint to sexual selection, so leading to an “ideal free” distribution; the second model assumes that the distribution can shift only in mean (or possibly in mean and variance), but not in shape.