Instability of spatial patterns and its ambiguous impact on species diversity

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dc.creatorReichenbach, Tobias
dc.creatorFrey, Erwin
dc.date2008-07-01
dc.date.accessioned2026-07-07T09:59:17Z
dc.date.available2026-07-07T09:59:17Z
dc.descriptionSelf-arrangement of individuals into spatial patterns often accompanies and promotes species diversity in ecological systems. Here, we investigate pattern formation arising from cyclic dominance of three species, operating near a bifurcation point. In its vicinity, an Eckhaus instability occurs, leading to convectively unstable "blurred" patterns. At the bifurcation point, stochastic effects dominate and induce counterintuitive effects on diversity: Large patterns, emerging for medium values of individuals' mobility, lead to rapid species extinction, while small patterns (low mobility) promote diversity, and high mobilities render spatial structures irrelevant. We provide a quantitative analysis of these phenomena, employing a complex Ginzburg-Landau equation.
dc.description4 pages, 3 figures and supplementary information. To appear in Phys. Rev. Lett.
dc.identifierhttps://arxiv.org/abs/0807.0122
dc.identifierhttp://arxiv.org/abs/0807.0122
dc.identifierPhys. Rev. Lett. 101, 058102 (2008)
dc.identifierdoi:10.1103/PhysRevLett.101.058102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167965
dc.subjectPopulations and Evolution
dc.subjectStatistical Mechanics
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectBiological Physics
dc.titleInstability of spatial patterns and its ambiguous impact on species diversity
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