Vigilance, patch use and habitat selection: Foraging under predation risk

To balance conXicting demands for food and safety from predation, feeding animals have two useful tools. First, they can vary the amount of time they devote to harvesting patches that vary in predation risk and feeding rates. Second, they can use vigilance to trade-oV food and safety while feeding from a food patch. I present a model for predicting how an optimal forager should jointly use these two tools. Factors inXuencing the use of these tools include encounter rate with predators, predator lethality in the absence of vigilance, eVectiveness of vigilance in reducing predator lethality, the marginal value of energy to the forager and the forager’s survivor’s Wtness. Patch-use behaviours inXuenced by these factors include vigilance level, quitting harvest rate and giving-up density (GUD). All three of these patch-use behaviours should increase in response to an increase in encounter rate with predators, predator lethality and the forager’s survivor’s Wtness, and decrease with an increase in the marginal value of energy. In response to increasing the eVectiveness of vigilance, vigilance should increase and the GUD and quitting harvest rate should decline. The amount of food left by a forager in a depletable food patch, the GUD, provides an empirical link for testing the model’s predictions. Giving-up densities should increase with increasing predation risk, and GUDs should increase with declining food-densityspeciWc harvest rates. DiVerences in GUDs among food patches attributable to diVerences in quitting harvest rates measure the contribution of time allocation to managing diVerences in predation risk. DiVerences in GUDs attributable to diVerences in food-density-speciWc harvest rates measure the contribution of vigilance to managing predation risk.