Tipping point and noise-induced transients in ecological networks

被引:41
作者
Meng, Yu [1 ]
Lai, Ying-Cheng [2 ,3 ]
Grebogi, Celso [1 ]
机构
[1] Univ Aberdeen, Kings Coll, Sch Nat & Comp Sci, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE, Scotland
[2] Arizona State Univ, Sch Elect Comp & Energy Engn, Tempe, AZ 85287 USA
[3] Arizona State Univ, Dept Phys, Tempe, AZ 85287 USA
关键词
transients; stochasticity; tipping point; mutualistic networks; nonlinear dynamics; complex networks; EARLY-WARNING SIGNALS; CRITICAL SLOWING-DOWN; REGIME SHIFTS; ENVIRONMENTAL STOCHASTICITY; POPULATION EXTINCTION; DYNAMICS; COEVOLUTION; SYSTEMS; CHAOS; MULTISTABILITY;
D O I
10.1098/rsif.2020.0645
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
A challenging and outstanding problem in interdisciplinary research is to understand the interplay between transients and stochasticity in high-dimensional dynamical systems. Focusing on the tipping-point dynamics in complex mutualistic networks in ecology constructed from empirical data, we investigate the phenomena of noise-induced collapse and noise-induced recovery. Two types of noise are studied: environmental (Gaussian white) noise and state-dependent demographic noise. The dynamical mechanism responsible for both phenomena is a transition from one stable steady state to another driven by stochastic forcing, mediated by an unstable steady state. Exploiting a generic and effective two-dimensional reduced model for real-world mutualistic networks, we find that the average transient lifetime scales algebraically with the noise amplitude, for both environmental and demographic noise. We develop a physical understanding of the scaling laws through an analysis of the mean first passage time from one steady state to another. The phenomena of noise-induced collapse and recovery and the associated scaling laws have implications for managing high-dimensional ecological systems.
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页数:12
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