单纯复合体中的群落结构：在印度中部野生动物走廊设计中的应用--印度东高止山脉景观复合体
Community structures in simplicial complexes: an application to wildlife corridor designing in Central India -- Eastern Ghats landscape complex, India
摘要：
单纯复杂的概念，从代数拓扑学的理解和建模的遗传信息，流程和生物体之间的未受损的栖息地的区域设计的野生动物走廊的老虎（豹底格里斯）在印度中部东高止山脉景观复杂的网络。这项工作扩展和改进了以前的工作，利用了最小生成树的概念，从加权图中的焦点景观，这表明一个可行的走廊网络的老虎种群的保护区（PA）的景观复杂。网络的中心确定的栖息地补丁和关键参数，是中央的老虎运动过程中的网络。我们将顶点中心性的概念推广到单纯中心性，从而得到顶点间的邻接和连接。因此，生态信息传播迅速，甚至在局部范围内，在这些网络代表一个良好的集成和自我解释的模型作为一个社区结构。一个简单的复杂网络的基础上计算的网络中心的景观矩阵提出了一个老虎走廊网络的景观复杂，建议更好地对应于现实比以前提出的模型。由于上述网络的功能和结构特性，这项工作提出了一个生态网络的走廊最站得住脚的使用老虎种群在保护区和保护区以外的焦点景观。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
