基于分形维数的城市市辖区道路网络特征分析

Hongxing Deng, Wen Wen, Wenhui Zhang
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引用次数: 1

摘要

城市道路网的结构特征直接影响城市道路网的整体功能和服务水平。由于城市路网的分层划分和布局形式具有自相似性和尺度不变性,城市交通网络具有一定的时空分形特征,分形理论已成为评价交通网络的有力工具。本文对哈尔滨市9个地区的5个分形维数进行了计算和比较。同时,每个计算出的FD与该区域的面积、人口、建成区面积、建筑面积、道路总数和长度、建筑物数量进行线性回归。结果表明,五种类型的分形维数在1 ~ 2之间。在同一区域内,相对于FD盒、FD信息和FD质量,FD周长和FD标尺的值较低,而FD盒和FD信息的值较高。与FD框和FD信息相比,FD质量值呈现不均匀。在现有研究成果的基础上,探讨了利用分形过程中的相关指标评价城市路网布局并指导其优化调整的可行性。
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Analysis of Road Networks Features of Urban Municipal District Based on Fractal Dimension
The structural characteristics of an urban road network directly affect the urban road network’s overall function and service level. Because the hierarchical division and layout form of an urban road network has self-similarity and scale invariance, the urban traffic network has certain time-space fractal characteristics, and fractal theory has become a powerful tool for evaluating traffic networks. This paper calculates and compares five fractal dimensions (FD) of nine districts in Harbin. Meanwhile, each calculated FD is linearly regressed with the area, population, built-up area, building area, the total number and length of roads, and the number of buildings in the region. The results show that the fractal dimensions of the five types are between 1 and 2. In the same district, the values of the FD perimeter and FD ruler are lower compared to the FD box, FD information, and FD mass, whereas those of the FD box and FD information are higher. Compared to the FD box and FD information, the value of FD mass shows unevenly. Based on the current research results, this study discusses the feasibility of using relevant indicators in the fractal process to evaluate the layout of the urban road network and guide its optimization and adjustment.
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