Noise-enabled species recovery in the aftermath of a tipping point.,Physical Review E

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Noise-enabled species recovery in the aftermath of a tipping point.
Physical Review E ( IF 2.2 ) Pub Date : 2020-01-01 , DOI: 10.1103/physreve.101.012206
Yu Meng _{1,

2} , Junjie Jiang ₂ , Celso Grebogi ₁ , Ying-Cheng Lai _{2,

3}

Affiliation

The beneficial role of noise in promoting species coexistence and preventing extinction has been recognized in theoretical ecology, but previous studies were mostly concerned with low-dimensional systems. We investigate the interplay between noise and nonlinear dynamics in real-world complex mutualistic networks with a focus on species recovery in the aftermath of a tipping point. Particularly, as a critical parameter such as the mutualistic interaction strength passes through a tipping point, the system collapses and approaches an extinction state through a dramatic reduction in the species populations to near-zero values. We demonstrate the striking effect of noise: when the direction of parameter change is reversed through the tipping point, noise enables species recovery which otherwise would not be possible. We uncover an algebraic scaling law between the noise amplitude and the parameter distance from the tipping point to the recovery point and provide a physical understanding through analyzing the nonlinear dynamics based on an effective, reduced-dimension model. Noise, in the form of small population fluctuations, can thus play a positive role in protecting high-dimensional, complex ecological networks.

中文翻译：

达到临界点后，启用噪声的物种得以恢复。

噪声在促进物种共存和防止物种灭绝中的有益作用已在理论生态学中得到公认，但以前的研究主要涉及低维系统。我们研究了现实世界中复杂的互惠网络中噪声与非线性动力学之间的相互作用，重点是临界点之后的物种恢复。特别地，当诸如互惠相互作用强度之类的关键参数通过临界点时，系统崩溃，并且物种种群急剧减少至接近零，从而接近灭绝状态。我们展示了噪声的惊人效果：当参数改变的方向通过临界点反转时，噪声使物种得以恢复，否则将无法恢复。我们揭示了噪声振幅与从临界点到恢复点的参数距离之间的代数缩放定律，并通过基于有效的降维模型分析非线性动力学来提供物理理解。因此，人口波动小的形式的噪声可以在保护高维，复杂的生态网络方面发挥积极作用。

更新日期：2020-01-10

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