论文标题

简单综合体中的社区结构:印度中部野生动植物走廊设计的应用 - 印度东部高止山脉景观综合体

Community structures in simplicial complexes: an application to wildlife corridor designing in Central India -- Eastern Ghats landscape complex, India

论文作者

Shanu, Saurabh, Upadhyay, Shashankaditya, Roy, Arijit, Chundawat, Raghunandan, Bhattacharya, Sudeepto

论文摘要

使用代数拓扑的简单复合物的概念用于理解和建模未受损栖息地之间的遗传信息,过程和生物的流动,以设计在印度中部东部东部Ghats Landscape Complece Tigers(Panthera Tigris Tigrigris)的野生动物走廊网络(Panthera Tigris Tigris)。这项工作扩展并改善了先前的工作,该作品利用了从局灶性景观中的加权图获得的最小跨越树的概念,该景观中的加权图提出了一个可行的走廊网络,用于景观综合体中保护区(PAS)的老虎人群。网络的中心识别栖息地斑块和整个网络中老虎运动过程的关键参数。我们将顶点核心的概念扩展到简单的中心性,从而产生侧面的邻接和连接。结果,生态信息在这些网络中迅速甚至在本地规模上传播,代表了一个整合且自我解释的模型作为社区结构。基于景观矩阵中计算的网络中心的简单复合网络在景观复合体中提出了一个老虎走廊网络,该网络提议比以前提出的模型更好地与现实相对应。由于网络的上述功能和结构特性,该作品提出了一个关于老虎种群在PAS中和焦点景观中PAS外的老虎种群最持续使用的走廊的生态网络。

The concept of simplicial complex from Algebraic Topology is applied to understand and model the flow of genetic information, processes and organisms between the areas of unimpaired habitats to design a network of wildlife corridors for Tigers (Panthera Tigris Tigris) in Central India Eastern Ghats landscape complex. The work extends and improves on a previous work that has made use of the concept of minimum spanning tree obtained from the weighted graph in the focal landscape, which suggested a viable corridor network for the tiger population of the Protected Areas (PAs) in the landscape complex. Centralities of the network identify the habitat patches and the critical parameters that are central to the process of tiger movement across the network. We extend the concept of vertex centrality to that of the simplicial centrality yielding inter-vertices adjacency and connection. As a result, the ecological information propagates expeditiously and even on a local scale in these networks representing a well-integrated and self-explanatory model as a community structure. A simplicial complex network based on the network centralities calculated in the landscape matrix presents a tiger corridor network in the landscape complex that is proposed to correspond better to reality than the previously proposed model. Because of the aforementioned functional and structural properties of the network, the work proposes an ecological network of corridors for the most tenable usage by the tiger populations both in the PAs and outside the PAs in the focal landscape.

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