ON EQUILIBRIUM SOLUTIONS TO NONLOCAL MECHANISTIC MODELS IN ECOLOGY
ON EQUILIBRIUM SOLUTIONS TO NONLOCAL MECHANISTIC MODELS IN ECOLOGY
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DOI：
10.11948/20200269
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发表时间：
2021-12-01
影响因子：
1.1
通讯作者：
Rodriguez, Nancy
中科院分区：
文献类型：
--
作者：
Ellefsen, Erin;Rodriguez, Nancy
了解驱动物种移动和发展领土模式的因素是空间生态学的核心。在许多情况下，已经提出了基于当地信息的物种运动的机械模型来研究这种领土模式。在这项工作中，我们引入了一个非局部系统的反应-平流-扩散方程，其中包括使用非局部信息来影响物种的运动。这种模式的一个好处是，团体可以在没有家庭中心的情况下保持一致性。由于合并非局部机制带来了分析和计算成本，我们探索了使用非局部模型的长波近似的潜力，以确定它们是否是计算效率更高的合适替代方案。利用局域模型和非局域模型的梯度流结构，通过能量最小化法计算了机制模型的平衡解。一般来说，局部模型的最小值与非局部模型的最小值匹配得相当好，但在某些情况下，组间隔离强度的差异突出。在某些情况下，当我们扩展组的数量时，我们观察到使用本地模型比使用非本地模型节省更多的计算时间。
Understanding the factors that drive species to move and develop territorial patterns is at the heart of spatial ecology. In many cases, mechanistic models, where the movement of species is based on local information, have been proposed to study such territorial patterns. In this work, we introduce a nonlocal system of reaction-advection-diffusion equations that incorporate the use of nonlocal information to influence the movement of species. One benefit of this model is that groups are able to maintain coherence without having a home-center. As incorporating nonlocal mechanisms comes with analytical and computational costs, we explore the potential of using long-wave approximations of the nonlocal model to determine if they are suitable alternatives that are more computationally efficient. We use the gradient flow-structure of the both local and nonlocal models to compute the equilibrium solutions of the mechanistic models via energy minimizers. Generally, the minimizers of the local models match the minimizers of the nonlocal model reasonably well, but in some cases, the differences in segregation strength between groups is highlighted. In some cases, as we scale the number of groups, we observe an increased savings in computational time when using the local model versus the nonlocal counterpart.