Patterned vegetation, tipping points, and the rate of climate change

被引:27
|
作者
Chen, Yuxin [1 ]
Kolokolnikov, Theodore [2 ]
Tzou, Justin [2 ]
Gai, Chunyi [2 ]
机构
[1] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA
[2] Dalhousie Univ, Dept Math & Stat, Halifax, NS, Canada
基金
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词
delayed bifurcations; stochastic PDE's; Turing instability; climate change; patched vegetation; EARLY WARNING SIGNAL; DELAYED BIFURCATIONS; CATASTROPHIC SHIFTS; REGIME SHIFTS; SLOW PASSAGE; NOISE; DYNAMICS; STABILITY; MODEL; ECOSYSTEMS;
D O I
10.1017/S0956792515000261
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
When faced with slowly depleting resources (such as decrease in precipitation due to climate change), complex ecological systems are prone to sudden irreversible changes (such as desertification) as the resource level dips below a tipping point of the system. A possible coping mechanism is the formation of spatial patterns, which allows for concentration of sparse resources and the survival of the species within "ecological niches" even below the tipping point of the homogeneous vegetation state. However, if the change in resource availability is too sudden, the system may not have time to transition to the patterned state and will pass through the tipping point instead, leading to extinction. We argue that the deciding factors are the speed of resource depletion and the amount of the background noise (seasonal climate changes) in the system. We illustrate this phenomenon on a model of patterned vegetation. Our analysis underscores the importance of, and the interplay between, the speed of climate change, heterogeneity of the environment, and the amount of seasonal variability.
引用
收藏
页码:945 / 958
页数:14
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