Instability of spatial patterns and its ambiguous impact on species diversity.
Instability of spatial patterns and its ambiguous impact on species diversity.
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DOI：
10.1103/physrevlett.101.058102
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发表时间：
2008-07
影响因子：
8.6
通讯作者：
T. Reichenbach;Erwin Frey
中科院分区：
文献类型：
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作者：
T. Reichenbach;Erwin Frey
个体在空间格局中的自我安排往往伴随并促进生态系统中的物种多样性。在这里，我们研究了在分叉点附近运行的三个物种的循环优势引起的模式形成。在其附近，发生了埃克豪斯不稳定，导致了对流不稳定的“模糊”模式。在分叉点，随机效应主导并导致对多样性的违反直觉的影响：个体迁移率中等的大格局会导致物种迅速灭绝，而小格局(低迁移率)促进多样性，高迁移率使空间结构变得无关。我们利用一个复杂的Ginzburg-Landau方程对这些现象进行了定量的分析。
Self-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.