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Transient dynamics and food-web complexity in the Lotka-Volterra cascade model.

机译:Lotka-Volterra级联模型中的瞬态动力学和食物网的复杂性。

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摘要

How does the long-term behaviour near equilibrium of model food webs correlate with their short-term transient dynamics? Here, simulations of the Lotka -Volterra cascade model of food webs provide the first evidence to answer this question. Transient behaviour is measured by resilience, reactivity, the maximum amplification of a perturbation and the time at which the maximum amplification occurs. Model food webs with a higher probability of local asymptotic stability may be less resilient and may have a larger transient growth of perturbations. Given a fixed connectance, the sizes and durations of transient responses to perturbations increase with the number of species. Given a fixed number of species, as connectance increases, the sizes and durations of transient responses to perturbations may increase or decrease depending on the type of link that is varied. Reactivity is more sensitive to changes in the number of donor-controlled links than to changes in the number of recipient-controlled links, while resilience is more sensitive to changes in the number of recipient-controlled links than to changes in the number of donor-controlled links. Transient behaviour is likely to be one of the important factors affecting the persistence of ecological communities.
机译:模型食物网接近平衡时的长期行为与它们的短期瞬态动态有何关系?在这里,食品网的Lotka -Volterra级联模型的仿真提供了第一个证据来回答这个问题。瞬态行为是通过弹性,反应性,扰动的最大放大率以及最大放大率发生的时间来衡量的。具有局部渐近稳定性的较高概率的模型食物网的弹性可能较弱,并且可能具有较大的瞬态扰动增长。给定一个固定的连接,对扰动的瞬态响应的大小和持续时间会随着物种数量的增加而增加。给定固定数量的物种,随着连接性的增加,对扰动的瞬态响应的大小和持续时间可能会根据所更改的链接类型而增加或减少。反应性对捐赠者控制的链接数量的变化比对受者控制的链接的数量更敏感,而弹性对受捐赠者控制的链接的数量变化比对捐赠者控制的链接数量更敏感。受控链接。暂态行为可能是影响生态社区持久性的重要因素之一。

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