QUALITATIVE-ANALYSIS OF INSECT OUTBREAK SYSTEMS - SPRUCE BUDWORM AND FOREST
QUALITATIVE-ANALYSIS OF INSECT OUTBREAK SYSTEMS - SPRUCE BUDWORM AND FOREST
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DOI：
10.2307/3939
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发表时间：
1978-01-01
影响因子：
4.8
通讯作者：
HOLLING, CS
中科院分区：
文献类型：
--
作者：
LUDWIG, D;JONES, DD;HOLLING, CS
以云杉卷叶蛾和香脂冷杉为例，描述了一种昆虫爆发系统的定性分析方法。该方法包括将状态变量分为快变量和慢变量两类。首先分析快变量的动态，固定慢变量。然后分析慢变量的动态，将快变量保持在相应的平衡值。如果存在多个这样的平衡态，那么慢动态就有多种可能性。就卷叶蛾而言，这种分析展示了弛豫振荡的可能性，这在范德波尔振荡器理论中是常见的。用更现代的术语来说，系统的跳跃由尖点突变控制。这种分析仅基于定性信息就可以进行，但是当由经验丰富的生物学家通常可获得的那种信息来定义参数范围时，会产生更多的见解。至少这可以作为评估研究和政策后续重点的指南。
A procedure was described for the qualitative analysis of insect outbreak systems using spruce budworm and balsam fir as an example. This consists of separating the state variables into fast and slow categories. The dynamics of the fast variables are analyzed first, holding the slow variables fixed. Then the dynamics of the slow variables are analyzed, with the fast variables held at corresponding equilibrium values. If there are several such equilibria, there are several possibilities for the slow dynamics. In the case of the budworm, this analysis exhibits the possibility of relaxation oscillations which are familiar from theory of the Van der Pol oscillator. In more modern terminology, the jumps of the system are governed by a cusp catastrophe. Such an analysis can be made on the basis of qualitative information only, but additional insight energes when parameter ranges are defined by the kind of information typically available from an experienced biologist. At the least this can be a guide to assess subsequent priorities for both research and policy.