Directionally Correlated Movement Can Drive Qualitative Changes in Emergent Population Distribution Patterns
Directionally Correlated Movement Can Drive Qualitative Changes in Emergent Population Distribution Patterns
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DOI：
10.3390/math7070640
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发表时间：
2019-07-01
期刊：
影响因子：
2.4
通讯作者：
Potts, Jonathan R.
中科院分区：
文献类型：
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作者：
Potts, Jonathan R.
生态学的一个基本目标是了解物种的空间分布。对于移动的动物来说，它们的位置关键取决于它们用来导航风景的运动机制。众所周知，许多分类群中的动物在它们的运动中表现出方向性的相关性。这项工作探索了这种定向相关性在种群间分类模型(即每个种群对其他种群的存在做出反应的移动)中对空间格局形成的影响。使用了电报-趋向性形式，它通过加入一个参数T来推广先前研究的扩散-趋向性系统，该参数测量定向持续的特征时间。这些结果给出了确定T的变化何时将在N>；=2个群体的线性模式形成分析的预测中驱动质变的一般标准。作为一个具体的例子，详细探讨了N=2的情况，表明方向相关性可以导致一个种群在整个景观中‘追逐’另一个种群，同时保持非恒定的空间分布。总体而言，这项研究证明了考虑运动中的方向相关性对于理解物种分布的数量和质量方面的重要性。
A fundamental goal of ecology is to understand the spatial distribution of species. For moving animals, their location is crucially dependent on the movement mechanisms they employ to navigate the landscape. Animals across many taxa are known to exhibit directional correlation in their movement. This work explores the effect of such directional correlation on spatial pattern formation in a model of between-population taxis (i.e., movement of each population in response to the presence of the others). A telegrapher-taxis formalism is used, which generalises a previously studied diffusion-taxis system by incorporating a parameter T, measuring the characteristic time for directional persistence. The results give general criteria for determining when changes in T will drive qualitative changes in the predictions of linear pattern formation analysis for N >= 2 populations. As a specific example, the N=2 case is explored in detail, showing that directional correlation can cause one population to 'chase' the other across the landscape while maintaining a non-constant spatial distribution. Overall, this study demonstrates the importance of accounting for directional correlation in movement for understanding both quantitative and qualitative aspects of species distributions.