Social copying drives a tipping point for nonlinear population collapse.

Journal: Proceedings of the National Academy of Sciences of the United States of America
PMID:

Abstract

Sudden changes in populations are ubiquitous in ecological systems, especially under perturbations. The agents of global change may increase the frequency and severity of anthropogenic perturbations, but complex populations' responses hamper our understanding of their dynamics and resilience. Furthermore, the long-term environmental and demographic data required to study those sudden changes are rare. Fitting dynamical models with an artificial intelligence algorithm to population fluctuations over 40 y in a social bird reveals that feedback in dispersal after a cumulative perturbation drives a population collapse. The collapse is well described by a nonlinear function mimicking social copying, whereby dispersal made by a few individuals induces others to leave the patch in a behavioral cascade for decision-making to disperse. Once a threshold for deterioration of the quality of the patch is crossed, there is a tipping point for a social response of runaway dispersal corresponding to social copying feedback. Finally, dispersal decreases at low population densities, which is likely due to the unwillingness of the more philopatric individuals to disperse. In providing the evidence of copying for the emergence of feedback in dispersal in a social organism, our results suggest a broader impact of self-organized collective dispersal in complex population dynamics. This has implications for the theoretical study of population and metapopulation nonlinear dynamics, including population extinction, and managing of endangered and harvested populations of social animals subjected to behavioral feedback loops.

Authors

  • Daniel Oro
    Theoretical and Computational Ecology Laboratory, Centre d'Estudis Avançats de Blanes, Consejo Superior de Investigaciones Científicas, 17300 Girona, Spain.
  • Lluís Alsedà
    Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain.
  • Alan Hastings
    Department of Environmental Science and Policy, University of California, Davis, CA 95616.
  • Meritxell Genovart
    Theoretical and Computational Ecology Laboratory, Centre d'Estudis Avançats de Blanes, Consejo Superior de Investigaciones Científicas, 17300 Girona, Spain.
  • Josep Sardanyés
    Centre de Recerca Matemàtica, 08193 Bellaterra, Spain.