Patterns of patch rejection in size-structured populations: beyond the ideal free distribution and size segregation

We examine optimal patch allocation strategies in a population structured by size or some other characteristic. By treating size-specific differences among patches as limiting factors, we create a single framework to analyse foraging for two resources, foraging in the presence of predators and foraging in the presence of competition. The ideal free distribution or size segregation are optimal only in restricted circumstances, among a range of other intermediate patterns of patch rejection. The predicted pattern can shift from an ideal free distribution to various forms of size segregation as resource renewal rates in patches become more different.