How groups of social animals collectively learn to find and exploit resources in complex environments is not well-understood. We find that individual Lévy displacements associated with a slow memory decay lead to a very rapid collective response, a high group cohesion and to an optimal exploitation of the best resource patches in static but complex environments, even when the interaction rate among individuals is low. Here, with the help of a spatially explicit agent-based model where individuals transfer information to their peers, we analyze the effects on the use of resources of varying memory capacities in combination with different exploration strategies, such as ordinary random walks and Lévy flights. However, how individual behavior affects the emergence of collective states of learning is still poorly understood. For animals living in social groups, spatial learning can be further enhanced by information transfer among group members. Learning involves the collection, storage and retrieval of information, and depends on both the random search strategies employed and the memory capacities of the individual. Many animal species benefit from spatial learning to adapt their foraging movements to the distribution of resources.
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