Modelling reproductive allocation of dusky salamanders using optimal control theory: Pros, cons and caveats

Optimal control theory has been used to examine the evolution of life history characters in a variety of plant and animal species. In this paper, I examine control theoretic models of reproductive allocation in female dusky salamanders and consider some practical aspects of modelling, including the appropriateness of nonlinear formulations, methods for describing semelparous reproduction, and data needed to parameterize models. The model analysed includes state variables for somatic and reproductive tissue, energy intake and requirements for physiological maintenance, and iteroparous reproduction. It predicts that female salamanders should spend the first part of their lives growing. After reaching sexual maturity, females should either spend the remainder of their lives reproducing at the expense of decreasing body size, possibly resulting in death by starvation, or maintain approximately constant body size at the expense of low reproductive output. This lack of correspondence to the observed biology of dusky salamanders suggests that not all the appropriate biology has been described. In particular, inclusion of a storage variable may be necessary in future modelling efforts.