Global stability, local stability and permanence in model food webs
Global stability, local stability and permanence in model food webs
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DOI：
10.1006/jtbi.2001.2370
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发表时间：
2001-09-21
影响因子：
2
通讯作者：
Cohen, JE
中科院分区：
文献类型：
--
作者：
Chen, X;Cohen, JE
食物网的动力学理论主要基于局部稳定性分析。局部稳定性与食物网性质的相关性一直受到质疑，因为局部稳定性仅在平衡附近保持，并且不提供关于吸引盆地大小的信息。局部稳定性并不能保证随机环境中食物网的持久性。此外，局部稳定性排除了更复杂的动力学，如周期性和混沌行为，这可能允许持久性。全球稳定性和持久性可能是社区持久性的更好标准。我们的模拟分析表明，这三个稳定性的措施是定性一致的，所有三个预测的稳定性下降，增加复杂性。本文对食物网的稳定性如何依赖于食物网的结构做出了一些新的预测：消费者-受害者链对食物网稳定性概率的影响要小于一对受消费者控制的和受捐赠者控制的食物网;捐赠者控制的链路比捐赠者控制的链路对局部稳定性和持久性的概率具有更大的影响，虽然它们对全球稳定性的概率有相同的影响，但捐助者控制的食物网和捐助者控制的食物网比例相同的食物网比比例不同的食物网更不稳定。(C)北京：科学出版社.
The dynamical theory of food webs has been based typically on local stability analysis. The relevance of local stability to food web properties has been questioned because local stability holds only in the immediate vicinity of the equilibrium and provides no information about the size of the basin of attraction. Local stability does not guarantee persistence of food webs in stochastic environments. Moreover, local stability excludes more complex dynamics such as periodic and chaotic behaviors, which may allow persistence. Global stability and permanence could be better criteria of community persistence. Our simulation analysis suggests that these three stability measures are qualitatively consistent in that all three predict decreasing stability with increasing complexity. Some new predictions on how stability depends on food web configurations are generated here: a consumer-victim link has a smaller effect on the probabilities of stability, as measured by all three stability criteria, than a pair of recipient-controlled and donor-controlled links; a recipient-controlled link has a larger effect on the probabilities of local stability and permanence than a donor-controlled link, while they have the same effect on the probability of global stability; food webs with equal proportions of donor-controlled and recipient-con trolled links are less stable than those with different proportions. (C) 2001 Academic Press.