Robust ecological pattern formation induced by demographic noise
Robust ecological pattern formation induced by demographic noise
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DOI：
10.1103/physreve.80.030902
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发表时间：
2009-09-01
影响因子：
2.4
通讯作者：
Goldenfeld, Nigel
中科院分区：
文献类型：
--
作者：
Butler, Thomas;Goldenfeld, Nigel
我们证明了在浮游生物-食草动物种群动力学的Levin-Segel捕食者-食饵模型中，人口噪声可以诱导持续的空间格局形成和时间振荡。虽然该模型在平均场理论中表现出图灵不稳定性，但人口噪声极大地扩大了发生图案形成的参数空间区域。为了区分波动产生的模式和真实生态系统中平均场水平上的模式，我们计算了噪声驱动情况下的功率谱，并预测了平均场情况下不存在的肥尾的存在。这些结果可能解释了大规模生态模式的流行，超出了传统非随机方法的预期。
We demonstrate that demographic noise can induce persistent spatial pattern formation and temporal oscillations in the Levin-Segel predator-prey model for plankton-herbivore population dynamics. Although the model exhibits a Turing instability in mean-field theory, demographic noise greatly enlarges the region of parameter space where pattern formation occurs. To distinguish between patterns generated by fluctuations and those present at the mean-field level in real ecosystems, we calculate the power spectrum in the noise-driven case and predict the presence of fat tails not present in the mean-field case. These results may account for the prevalence of large-scale ecological patterns, beyond that expected from traditional nonstochastic approaches.