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Emergent long-range synchronization of oscillating ecological populations without external forcing described by Ising universality

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Listed:
  • Andrew E. Noble

    (University of California
    University of Massachusetts)

  • Jonathan Machta

    (University of Massachusetts
    Santa Fe Institute)

  • Alan Hastings

    (University of California)

Abstract

Understanding the synchronization of oscillations across space is fundamentally important to many scientific disciplines. In ecology, long-range synchronization of oscillations in spatial populations may elevate extinction risk and signal an impending catastrophe. The prevailing assumption is that synchronization on distances longer than the dispersal scale can only be due to environmental correlation (the Moran effect). In contrast, we show how long-range synchronization can emerge over distances much longer than the length scales of either dispersal or environmental correlation. In particular, we demonstrate that the transition from incoherence to long-range synchronization of two-cycle oscillations in noisy spatial population models is described by the Ising universality class of statistical physics. This result shows, in contrast to all previous work, how the Ising critical transition can emerge directly from the dynamics of ecological populations.

Suggested Citation

  • Andrew E. Noble & Jonathan Machta & Alan Hastings, 2015. "Emergent long-range synchronization of oscillating ecological populations without external forcing described by Ising universality," Nature Communications, Nature, vol. 6(1), pages 1-10, May.
    • Handle: RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms7664
    DOI: 10.1038/ncomms7664
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    Cited by:

    1. Marina E Wosniack & Marcos C Santos & Ernesto P Raposo & Gandhi M Viswanathan & Marcos G E da Luz, 2017. "The evolutionary origins of Lévy walk foraging," PLOS Computational Biology, Public Library of Science, vol. 13(10), pages 1-31, October.
    2. Manfred Füllsack & Daniel Reisinger & Marie Kapeller & Georg Jäger, 2022. "Early warning signals from the periphery," Journal of Computational Social Science, Springer, vol. 5(1), pages 665-685, May.
    3. Sakai, Kenshi & Brown, Patrick H. & Rosenstock, Todd S. & Upadhyaya, Shrinivasa K. & Hastings, Alan, 2022. "Spatial phase synchronisation of pistachio alternate bearing: Common-noise-induced synchronisation of coupled chaotic oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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