Addicott John F
Department of Zoology, University of Alberta, T6G 2E9, Edmonton, Alberta, Canada.
Rocky Mountain Biological Laboratory, 81224, Crested Butte, Colorado, USA.
Oecologia. 1981 May;49(1):42-49. doi: 10.1007/BF00376896.
Most previous analyses of the stability properties of models of mutualism have emphasized the destabilizing effects of mutualism. However, these analyses can be shown to be based upon inappropriate assumptions, or to be applicable only for special cases of mutualism. In this paper three basic 2-species models of mutualism are presented and their six combinations are analyzed by computer simulation for their return time stability and persistence stability. Four out of six models show greater return time stability than an appropriate model without mutualism, and all models show higher persistence stability than the model without mutualism. It is argued that real biological systems can be related to the qualitative structure of each of the basic models of mutualism, and that therefore none of the basic models or their stability properties can be eliminated a priori as being inappropriate. The conclusion follows that while some kinds of mutualistic interactions may be relatively unstable, other mutualisms, probably representing the majority of cases, can be considered to be relatively stable. The limitations of these models and analyses are considered.
以往大多数对互利共生模型稳定性的分析都强调了互利共生的破坏稳定作用。然而，这些分析可以证明是基于不恰当的假设，或者仅适用于互利共生的特殊情况。本文提出了三种基本的两物种互利共生模型，并通过计算机模拟分析了它们的六种组合的返回时间稳定性和持续稳定性。六种模型中有四种显示出比适当的非互利共生模型更高的返回时间稳定性，并且所有模型都显示出比非互利共生模型更高的持续稳定性。有人认为，真实的生物系统可以与互利共生的每个基本模型的定性结构相关，因此，没有一个基本模型或其稳定性属性可以被先验地排除为不合适。得出的结论是，虽然某些种类的互利共生相互作用可能相对不稳定，但其他互利共生关系，可能代表大多数情况，可以被认为是相对稳定的。同时也考虑了这些模型和分析的局限性。
