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Extinction phase transitions in a model of ecological and evolutionary dynamics

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  • Hatem Barghathi

    (Missouri University of Science and Technology
    University of Vermont)

  • Skye Tackkett

    (Missouri University of Science and Technology)

  • Thomas Vojta

    (Missouri University of Science and Technology)

Abstract

We study the non-equilibrium phase transition between survival and extinction of spatially extended biological populations using an agent-based model. We especially focus on the effects of global temporal fluctuations of the environmental conditions, i.e., temporal disorder. Using large-scale Monte-Carlo simulations of up to 3 × 107 organisms and 105 generations, we find the extinction transition in time-independent environments to be in the well-known directed percolation universality class. In contrast, temporal disorder leads to a highly unusual extinction transition characterized by logarithmically slow population decay and enormous fluctuations even for large populations. The simulations provide strong evidence for this transition to be of exotic infinite-noise type, as recently predicted by a renormalization group theory. The transition is accompanied by temporal Griffiths phases featuring a power-law dependence of the life time on the population size.

Suggested Citation

  • Hatem Barghathi & Skye Tackkett & Thomas Vojta, 2017. "Extinction phase transitions in a model of ecological and evolutionary dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(7), pages 1-10, July.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:7:d:10.1140_epjb_e2017-80220-7
    DOI: 10.1140/epjb/e2017-80220-7
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    Statistical and Nonlinear Physics;

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