Optimal apostatic selection: how should predators adjust to variation in prey frequencies?
Section snippets
Predator Behaviour
Three main features of frequency-dependent predation have been observed across many laboratory studies: (1) repeated detection of a prey type can successively increase a predator's ability to detect that prey type, but (2) such detection has the opposite effect on detection of the other, dissimilar prey type and (3) these effects are reversible (e.g. Pietrewicz and Kamil, 1979, Langley, 1996). We capture these as fundamental features of our model. For simplicity, in our model we assume that the
Comparison Case of Time-invariant Prey Frequencies
Before running the model with varying prey type frequencies, it is instructive to consider the evolutionary response of the predators to unchanging prey type frequencies. We consider two cases: in the first case the prey type frequencies are equal, and in the second case the frequencies are biased, such that type A makes up 60% and type B makes up 40% of the population. In the 50:50 case, we expect that the adjustment (which symmetrically increases the probability of detecting one type and
Discussion
As expected, under a constant and unbiased (50:50) supply of the two prey types, the values of the predators' adjustment parameters pdev (governing the maximum extent of predator flexibility) and δ (governing the speed of change in a predator's response) were neutral to selection. Under a constant, biased (60:40) supply of prey types, it was advantageous to specialize and attend to the more common prey type only, and this increased the capture probability above 50%.
Compared to these scenarios
Acknowledgments
We are grateful to two anonymous referees and to Edwin van Leeuwen for helpful comments on the manuscript. This study was supported by the Swedish Research Council (S.M.), and NERC grants NE/D010772/1, NE/D010500/1 & NE/E016626/1 (G.D.R.).
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G. D. Ruxton is at the Division of Environmental & Evolutionary Biology, Faculty of Biomedical & Life Sciences, University of Glasgow, Glasgow G12 8QQ, U.K.