Savill N J, Rohani P, Hogeweg P
Theoretical Biology and Bioinformatics, Utrecht University, Padualaan 8, 3584 CH Utrecht, The Netherlands.
J Theor Biol. 1997 Sep 7;188(1):11-20. doi: 10.1006/jtbi.1997.0448.
Spatially structured models of host-parasitoid interactions exhibit self-structuring into spatial patterns such as spiral waves and turbulence. We discuss the consequences of these patterns in an eco-evolutionary model of host-parasitoid interactions with evolution of the parasitoids' ability to disperse towards dense populations of hosts (termed the aggregation strength). It turns out that the direction of, and the time-scale over which the evolutionary selection pressure acts depends on the type of spatial pattern a parasitoid finds itself in. Evolution tends to reinforce the existence of the prevalent local pattern. Moreover, there is also competition between the patterns that ultimately determines the eco-evolutionary attractor. It is the interaction between multiple processes across spatial and temporal scales that leads to the rich meso-scale behaviour. Predicting the evolutionary outcome from statistical measures and subprocesses is shown to give incorrect and conflicting answers. Comparison with the behaviours of the complex Ginzburg-Landau equation shows striking similarities on which we comment.
宿主-寄生蜂相互作用的空间结构模型呈现出自我组织成螺旋波和湍流等空间模式。我们在一个宿主-寄生蜂相互作用的生态进化模型中讨论这些模式的后果，该模型涉及寄生蜂向密集宿主种群扩散能力（称为聚集强度）的进化。结果表明，进化选择压力作用的方向和时间尺度取决于寄生蜂所处的空间模式类型。进化倾向于强化普遍存在的局部模式的存在。此外，模式之间还存在竞争，最终决定了生态进化吸引子。正是跨空间和时间尺度的多个过程之间的相互作用导致了丰富的中尺度行为。结果表明，从统计量和子过程预测进化结果会给出错误和相互矛盾的答案。与复杂金兹堡-朗道方程的行为进行比较显示出惊人的相似性，我们对此进行了评论。
