分维标度选择与城市轨道交通网分形特征  

Fractal Dimension Scale Selection and Fractal Characteristics of Urban Rail Transit Network

作　　者：刘泽昊 金辉 李再帏[1] 何越磊[1] LIU Zehao;JIN Hui;LI Zaiwei;HE Yuelei(School of Urban Rail Transit,Shanghai University of Engineering Science,Shanghai 201600,China;School of Rail Transit,Soochow University,Suzhou 215100,China)

机构地区：[1]上海工程技术大学城市轨道交通学院,上海201600 [2]苏州大学轨道交通学院,江苏苏州215100

出　　处：《物流科技》2023年第21期60-64,共5页Logistics Sci-Tech

基　　金：国家自然科学基金资助项目(52178430)。

摘　　要：为综合评价轨道网与客流分布的发展情况,针对城市轨道交通设施与客流分布及其协调关系的非线性特征,基于不同的环带宽度,采用回转半径法,分析轨道交通站点分维、线路长度与其分枝分维和进/出站客流与其分枝分维。为比选最佳的环带宽度,采用波谱分析法,计算自仿射记录维数。以苏州市轨道交通为例,发现中心车站8km外的设施与客流分布密度显著低于中心区域。采用波谱分析方法逐一求解不同环带宽度下的自仿射记录维数,发现其在1km环带宽度的轨道交通网络结构各向异性程度最小,故推荐采用1km环带宽度作为城市轨道交通分形的量测基准。研究成果可为轨道交通的建设与运营提供阶段性和针对性的理论指导。In order to comprehensively evaluate the development of rail network and passenger flow distribution,in view of the nonlinear characteristics of urban rail transit facilities and passenger flow distribution and their coordination relationship,based on different ring widths,the radius of gyration method is adopted to analyze the fractal dimension of rail transit stations,line length and its branch dimension,and inbound/outbound passenger flow and its branch dimension.In order to select the best band width,the spectral analysis method is used to calculate the self-affine recording dimension.Taking Suzhou rail transit as an example,it is found that the distribution density of facilities and passenger flow 8 km away from the central station is significantly lower than that in the central area.The self-affine recording dimensions under different ring widths are solved one by one by using the spectral analysis method.It is found that the degree of anisotropy of the rail transit network structure with 1 km ring width is the smallest.Therefore,it is recommended to use 1 km ring width as the measurement benchmark of urban rail transit fractal.The research results can provide phased and targeted theoretical guidance for the construction and operation of rail transit.

关 键 词：轨道交通 分形特征 环带宽度 客流分布 自仿射分形 

分 类 号：F570[经济管理—产业经济]