On the mechanistic underpinning of discrete-time population models with complex dynamics
On the mechanistic underpinning of discrete-time population models with complex dynamics
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DOI：
10.1016/j.jtbi.2004.01.003
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发表时间：
2004-05-21
影响因子：
2
通讯作者：
Kisdi, E
中科院分区：
文献类型：
--
作者：
Geritz, SAH;Kisdi, E
我们为可以产生极限环和混沌动力学的各种离散时间总体模型提供了机械基础。具体的例子包括离散时间 Logistic 模型和 Hassell 模型，它们长期以来一直没有令人信服的机械解释，还有 Ricker- 和 Beverton-Holt 模型。我们首先制定一年内动态的连续时间资源消耗模型，并从中推导出年间动态的离散时间模型。如果没有外部资源流入系统，所产生的年间动态总是过度补偿，因此可能会在有限时间内产生复杂的动态以及灭绝。我们一方面恢复了一年内资源动态的各种标准类型的连续时间模型之间的联系，另一方面恢复了年份之间人口动态的各种标准类型的离散时间模型之间的联系。该模型很容易推广到多种资源和消费物种以及两个以上营养级的年内动态。 (C) 2004 Elsevier Ltd. 保留所有权利。
We present a mechanistic underpinning For various discrete-time population models that can produce limit cycles and chaotic dynamics. Specific examples include the discrete-time logistic model and the Hassell model, which for a long time eluded convincing mechanistic interpretations, and also the Ricker- and Beverton-Holt models. We first formulate a continuous-time resource consumption model for the dynamics within a year, and from that we derive a discrete-time model for the between-year dynamics. Without influx of resources from the outside into the system, the resulting between-year dynamics is always overcompensating and hence may produce complex dynamics as well as extinction in finite time. We recover a connection between various standard types of continuous-time models for the resource dynamics within a year on the one hand and various standard types of discrete-time models for the population dynamics between years on the other. The model readily generalizes to several resource and consumer species as well as to more than two trophic levels for the within-year dynamics. (C) 2004 Elsevier Ltd. All rights reserved.