Abstract
Regime shift inducibility depends on equilibrium resilience, which depends on species interactions. When species interactions include intraguild predation (IGP), integrated pest management may induce regime shifts because enhancing the abundance of intraguild predators simultaneously increases competition with, and predation on, invasive prey. To explore the dynamical consequences of such manipulations, we use a bistable, deterministic IGP model with stochastic removals that perturb invader density from the high-density equilibrium. We quantify the combined effects of IGP and such perturbations in terms of mean first passage times (MFPTs) to target invader densities such as thresholds between regimes. Analytical MFPTs compare favorably with those generated by Monte Carlo numerical solutions of the stochastically perturbed IGP model. MFPTs can therefore usefully quantify equilibrium resilience in terms of perturbation schedules.
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Acknowledgements
The National Science Foundation provided financial support for this work through the ISIS project. We are grateful to Alex Potapov for help with the technical details of the single exponent approximation. We gratefully acknowledge discussions with Matt Barnes, Lindsay Chadderton, Andy Dienes, Reuben Keller, Joanna McNulty, Jody Murray, Brett Peters, and John Rothlisberger and the editorial comments of two anonymous reviewers, which clarified the manuscript.
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Drury, K.L.S., Lodge, D.M. Using mean first passage times to quantify equilibrium resilience in perturbed intraguild predation systems. Theor Ecol 2, 41–51 (2009). https://doi.org/10.1007/s12080-008-0027-z
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DOI: https://doi.org/10.1007/s12080-008-0027-z