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Relationships Between Fractal Road and Drainage Networks in Wuling Mountainous Area： Another Symmetric Understanding of Human-Environment Relations

ISSN号：1000-0690
期刊名称：《地理科学》
时间：0
分类：X24[环境科学与工程—环境科学] U491[交通运输工程—交通运输规划与管理;交通运输工程—道路与铁道工程]
作者机构：[1]College of Urban and Regional Science, East China Normal University, Shanghai 200062, China, [2]Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 610031, China
相关基金：supported by the National Natural Science Foundation of China project (Grant Nos. 41201130, 41101361, and 41371183)

作者： LIU Cheng-liang[1], DUAN De-zhong[1], ZHANG Hong[2]

关键词：人与环境关系, 道路网络, 武陵山区, 分形分析, 排水网络, 对称性, 排水管网, 地域系统, Fractal road network, Fractal drainagenetwork, Symmetry, Human-environment relation, Self-organization

中文摘要：

在人和他们的环境之间的对称的关系在人的地理系统被叫作对称的扩展并且引起了大注意。这份报纸在 Wuling 多山的区域通过道路和排水网络的分数维的分析探索了在物理、人的系统之间的对称。我们发现道路和排水网络反映弱聚类的分布。道路网络的进化分享了一篇重要自我组织的作文，当排水网络显示出明显的双分数维的特征时。道路网络的几何分数维的尺寸比排水网络的大。另外，当分配了关于层次或长度的重量时，既不道路网络也不排水网络显示出一个分数维的性质。这些调查结果显示道路网络的分数维的进化与排水网络的分数维的分发分享了某些类似。在二个系统之间的对称源于在更高的顺序在更低的顺序和重建的对称破坏对称的交互进程。在农村城市的道路网络，排水网络和城市的系统的分数维的尺寸之间的关系显示这个区域的开发是完成物理人的地理系统的对称的同晶型。

英文摘要：

Symmetrical relationships between humans and their environment have been referred to as an extension of symmetries in the human geographical system and have drawn great attention. This paper explored the symmetry between physical and human systems through fractal analysis of the road and drainage networks in Wuling mountainous area. We found that both the road and drainage networks reflect weak clustering distributions. The evolution of the road network shared a significant self-organizing composition, while the drainage network showed obvious double fraetal characteristics. The geometric fractal dimension of the road network was larger than that of the drainage network. In addition, when assigned a weight relating to hierarchy or length, neither the road network nor drainage network showed a fractal property. These findings indicated that the fractal evolution of the road network shared certain similarities with fractal distribution of the drainage network. The symmetry between the two systems resulted from an interactive process of destroying symmetry at the lower order and reconstructing symmetry at the higher order. The relationships between the fractal dimensions of the rural-urban road network, the drainage network andthe urban system indicated that the development of this area was to achieve the symmetrical isomorphism of physical-human geographical systems.

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