Simple discrete-time metapopulation models of patch occupancy.
Simple discrete-time metapopulation models of patch occupancy.
复制标题
斑块占用的简单离散时间集合种群模型。
DOI：
10.1111/oik.07716
复制
发表时间：
2021
期刊：
影响因子：
3.4
通讯作者：
Hastings, A.
中科院分区：
文献类型：
--
作者：
Marculis, N.;Hastings, A.
理论生态学中的简单模型有很长的历史，被用来理解特定过程如何影响种群动态，并为未来的努力提供基础。Levins模型是连续时间元种群动力学的开创性例子。然而，许多自然种群在过程和数据之间有明显的分离，并不是连续收集的，因此需要使用离散时间模型。我们的目标是利用差分方程建立一个简单的离散时间元种群模型。在我们的公式中，我们考虑了殖民化和灭绝这两个基本过程，它们将被视为连续的事件，并且只考虑斑块占用。为了实现这一点，我们使用了两个函数的组合，其中一个反映灭绝过程，另一个反映殖民过程。在一些温和的假设下，我们能够确定元种群的动态行为。此外，我们还提供了许多用于模拟殖民和灭绝过程的函数示例。我们的研究结果表明，模型的动力学与定殖和灭绝函数的凸性和单调性等特性有关。特别是，如果模型是非单调的，那么就会产生复杂的动力学，例如循环甚至混沌行为。总的来说，我们的方法显示了定殖和灭绝功能的某些特性如何影响元种群动态。
Simple models in theoretical ecology have a long‐standing history of being used to understand how specific processes influence population dynamics as well as providing a foundation for future endeavors. The Levins model is the seminal example of this for continuous‐time metapopulation dynamics. However, many natural populations have a distinct separation between processes and data is not collected continuously leading to the need for using a discrete‐time model. Our goal is to develop a simple discrete‐time metapopulation model of patch occupancy using difference equations. In our formulation, we consider the two fundamental processes of colonization and extinction that will be treated as sequential events and will only consider patch occupancy. To achieve this, we use a composition of two functions where one will reflect the extinction process and the other for the colonization process. Under some mild assumptions, we are able determine the dynamic behavior of the metapopulation. In addition, we provide numerous examples for the functions used to emulate the colonization and extinction processes. Our results illustrate that the dynamics of the model are tied to properties such as convexity and monotonicity of the colonization and extinction functions. In particular, if the model is non‐monotone, then complex dynamics can arise such as cyclic and even chaotic behavior. Overall, our approach shows how certain properties of the colonization and extinction functions can influence metapopulation dynamics.