Optimal resource allocation in a randomly varying environment

1. We construct a simple strategic population model to investigate optimal allocation of resources (in excess of those required for maintenance) to growth and/or reproduction. 2. Analysis of the model for a constant environment demonstrates that determinate growth (where growth ceases at reproductive maturity) is always the optimal strategy. 3. We conduct numerical competition experiments to investigate optimal allocation in randomly varying environments, under three different noise models. 4. Indeterminate growth (simultaneous growth and reproduction over some of the individual's lifetime) is optimal in varying environments where the variability is intense and on a time-scale comparable with that of an individual's lifetime. 5. The long-run growth rate and the correlation between phenotype biomass and environment are maximized by sucessful competitors in the numerical contests. The presence of a competitor is shown to be an essential component defining the `environment'. Optimization of various fitness measures in a single phenotype situation does not reveal the optimum for the competitive situation