Eskola Hanna T M, Parvinen Kalle
Department of Mathematics, FIN-20014 University of Turku, Finland.
Theor Popul Biol. 2007 Aug;72(1):41-51. doi: 10.1016/j.tpb.2007.03.004. Epub 2007 Mar 16.
The Allee effect means reduction in individual fitness at low population densities. There are many discrete-time population models with an Allee effect in the literature, but most of them are phenomenological. Recently, Geritz and Kisdi [2004. On the mechanistic underpinning of discrete-time population models with complex dynamics. J. Theor. Biol. 228, 261-269] presented a mechanistic underpinning of various discrete-time population models without an Allee effect. Their work was based on a continuous-time resource-consumer model for the dynamics within a year, from which they derived a discrete-time model for the between-year dynamics. In this article, we obtain the Allee effect by adding different mate finding mechanisms to the within-year dynamics. Further, by adding cannibalism we obtain a higher variety of models. We thus present a generator of relatively realistic, discrete-time Allee effect models that also covers some currently used phenomenological models driven more by mathematical convenience.
阿利效应是指在低种群密度下个体适合度的降低。文献中有许多具有阿利效应的离散时间种群模型，但其中大多数都是现象学模型。最近，格里茨和基斯迪[2004年。关于具有复杂动力学的离散时间种群模型的机制基础。《理论生物学杂志》228卷，261 - 269页]提出了各种无阿利效应的离散时间种群模型的机制基础。他们的工作基于一个关于一年内动态变化的连续时间资源 - 消费者模型，从中推导出了年际动态变化的离散时间模型。在本文中，我们通过在年内动态变化中添加不同的配偶寻找机制来获得阿利效应。此外，通过添加同类相食现象，我们得到了更多种类的模型。因此，我们提出了一个相对现实的离散时间阿利效应模型生成器，它还涵盖了一些目前更多受数学便利性驱动的现象学模型。
