23 May 2005 Nucleation and global time scales in ecological invasion under preemptive competition
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Proceedings Volume 5841, Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems III; (2005); doi: 10.1117/12.609267
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States
Abstract
The breakdown of biogeographic barriers allows some invasive species to reshape ecological communities and threaten local biodiversity. Most introductions of exotic species fail to generate an invasion. However, once introduction succeeds, invader density increases rapidly. We apply nucleation theory to describe spatio-temporal patterns of the invasion process under preemptive competition. The predictions of the theory are confirmed by Monte Carlo simulations of the underlying discrete spatial stochastic dynamics. In particular, for large enough spatial regions, invasion occurs through the nucleation and subsequent growth of many clusters of the invasive species, and the global densities are well approximated by Avrami's law for homogeneous nucleation. For smaller systems or very small introduction rates, invasion typically occurs through a single cluster, whose appearance is inherently stochastic.
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Lauren O'Malley, Andrew Allstadt, Gyorgy Korniss, Thomas Caraco, "Nucleation and global time scales in ecological invasion under preemptive competition", Proc. SPIE 5841, Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems III, (23 May 2005); doi: 10.1117/12.609267; https://doi.org/10.1117/12.609267
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KEYWORDS
Stochastic processes

Solids

Monte Carlo methods

Systems modeling

Agriculture

Applied physics

Astronomy

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