Optimal life histories with age dependent tradeoff curves

Following the approach of Schaffer (1974, Ecology 55, 291-303.) and Charlesworth & Leon (1976, Am. Nat. 110, 449-459.) the tradeoff between fecundity and survival/growth is investigated in an age-structured population with density independent life history parameters. The results of the above authors are generalized by allowing the tradeoff curve to vary with age; the life cycle is assumed to have two stages: an initial stage during which the organism generally improves in her capacity to reproduce, grow and survive, and a final stage during which her general performance remains constant or declines. The principal result is that, during the final stage, RV per unit size should decrease and over the course of the entire life, should either decrease, or increase at first and then decrease. With the additional assumption that the tradeoff curves at different ages are similar in shape, it is shown that unit fecundity should increase throughout the reproductive life of the organism.