基于加权长度的交通网络分形维数  

Fractal Dimension of Transportation Networks Based on Weighted Length

作　　者：冯永玖[1] 刘妙龙[1] 童小华[1] 

机构地区：[1]同济大学测量与国土信息工程系,上海200092

出　　处：《复杂系统与复杂性科学》2007年第4期32-37,共6页Complex Systems and Complexity Science

基　　金：教育部新世纪优秀人才支持计划(NCET-06-0381);上海市科技启明星资助项目(05QMX1456);同济大学现代工程测量国家测绘局重点实验室资助项目(200618)

摘　　要：刻画交通网络的分形特性需要适合的指标,半径维数便是其中一种重要的测度,可以类比于分形体的容量维数。由于组成交通网络的公路具有多种类型和等级,仅用半径维数不足以反映公路交通网络的结构特性。论文提出了一种基于加权长度的交通网络分形维数,即在模拟各等级公路比重变化的情况下,给不同等级公路加以适当权重,这样得到的分形维数,即为加权半径维数。结果表明,加权半径维数是刻画交通网络分形结构比较适合的指标。Rational indexes are needed in order to Originated from highway transportation networks, characterize transportation networks fractal objectively. radial dimension is one of these measurements equals information dimension of fractals. However, taking no account of the grade of highway, the index can not completely reflect the structural characters of highway transportation networks. Therefore, weighted radial dimension, a novel measurement of transportation networks is put forward in this paper. In order to reflect different grade of highways,different weight is assigned to different highways, thus a fractal dimension is obtained,and is called weighted radial dimension. The results suggest that weighted radial dimension is a fine measurement of transportation networks.

关 键 词：交通网络 分形理论 加权半径维数 

分 类 号：K90-06[历史地理—人文地理学] N94[自然科学总论—系统科学]