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When can dispersal synchronize populations?

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  • Goldwyn, Eli E.
  • Hastings, Alan

Abstract

While spatial synchrony of oscillating populations has been observed in many ecological systems, the causes of this phenomenon are still not well understood. The most common explanations have been the Moran effect (synchronous external stochastic influences) and the effect of dispersal among populations. Since ecological systems are typically subject to large spatially varying perturbations which destroy synchrony, a plausible mechanism explaining synchrony must produce rapid convergence to synchrony. We analyze the dynamics through time of the synchronizing effects of dispersal and, consequently, determine whether dispersal can be the mechanism which produces synchrony. Specifically, using methods new to ecology, we analyze a two patch predator–prey model, with identical weak dispersal between the patches. We find that a difference in time scales (i.e. one population has dynamics occurring much faster than the other) between the predator and prey species is the most important requirement for fast convergence to synchrony.

Suggested Citation

  • Goldwyn, Eli E. & Hastings, Alan, 2008. "When can dispersal synchronize populations?," Theoretical Population Biology, Elsevier, vol. 73(3), pages 395-402.
    • Handle: RePEc:eee:thpobi:v:73:y:2008:i:3:p:395-402
    DOI: 10.1016/j.tpb.2007.11.012
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    References listed on IDEAS

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    1. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    2. B. T. Grenfell & O. N. Bjørnstad & J. Kappey, 2001. "Travelling waves and spatial hierarchies in measles epidemics," Nature, Nature, vol. 414(6865), pages 716-723, December.
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    Cited by:

    1. Bagchi, Dweepabiswa & Arumugam, Ramesh & Chandrasekar, V.K. & Senthilkumar, D.V., 2022. "Metacommunity stability and persistence for predation turnoff in selective patches," Ecological Modelling, Elsevier, vol. 470(C).
    2. Jiale Ban & Yuanshi Wang & Hong Wu, 2022. "Dynamics of predator-prey systems with prey’s dispersal between patches," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(2), pages 550-569, June.

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