Group foraging, patch exploitation time and the finder's advantage

We use a combination of the marginal value theorem (MVT) of Charnov (1976), and a group foraging model featuring information sharing to address patch residence in an environment where food occurs in discrete patches. We shall show that among equal competitors the optimal patch time for the individual that finds the food patch is shorter than that for the non-finder among equal competitors, T-E < T-N. This is the case if the patch-finder commences food harvesting in the patch earlier and manages to monopolise a fraction of the prey items (finder's advantage) before the other individuals come to take their benefit. When individuals differ in their food-searching abilities so that some of them (producers) contribute proportionally more to food-searching than others (scroungers), and differ in ability to compete for the food found, a difference emerges between producer and scrounger individuals in the optimal patch time. Within a patch we always have the finder's advantage (T-E < T-N) regardless of phenotype. Between patches a suite of optimal patch times for encountering individuals emerges depending on the performance of producers and scroungers when changing from solitary feeding to feeding in a group. The optimal patch time for individuals that are affected more severely by competition is shorter than that for individuals of the phenotype with better competitive ability. When both phenotypes are affected similarly no difference in optimal patch times emerges.