Extinction Phase Transitions in a Model of Ecological and Evolutionary Dynamics
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 x 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.
H. Barghathi et al., "Extinction Phase Transitions in a Model of Ecological and Evolutionary Dynamics," European Physical Journal B, vol. 90, no. 7, Springer Heidelberg, Jul 2017.
The definitive version is available at https://doi.org/10.1140/epjb/e2017-80220-7
Keywords and Phrases
Statistical and Nonlinear Physics
International Standard Serial Number (ISSN)
Article - Journal
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01 Jul 2017