摘要
以世界范围内50个城市道路网作为数据样本,运用Newman同配性系数和Litvak-Hofstad同配性系数对以Stroke对偶形式表达的道路网的度相关性进行了度量;同时,由于"可塑性线性单元问题",分析了同一路网不同Stroke集对度量结果的影响;最后,分析了度相关性与鲁棒性的关系。研究发现:(1)以Stroke对偶形式表示的城市道路网的度相关性绝大多数呈现异配和不相关,且Newman同配性系数和Litvak-Hofstad同配性系数会出现度量不一致的情况;(2)同一路网的不同Stroke集对Newman同配性系数的度量产生了一定影响,但对Litvak-Hofstad同配性系数没有影响,总体而言对度相关性的度量影响较小;(3)运用LitvakHofstad同配性系数度量时,路网的度相关性与鲁棒性呈现正相关。
The degree correlation of 50 urban street networks in their Stroke-based dual representation is measured by both Newman's assortativity coefficient and Litvak-Hofstad's assortativity coefficient. In addition, because of modified linear unit problem, the two assortativity coefficients are calculated and analyzed over different Stroke sets of a street network. Finally the relationship between degree correlation and robustness is investigated. It is found that: (1) An overwhelming majority of urban street netwos in their dual representation are disassortative and uncorrelated in terms of the degree, although the two assortativity Coefficients can be inconsistent sometimes. (2) For a given street net- work, different Stroke sets have slight influence on the Newman's assortativity coefficient and no influence on the Litvak-Hofstad^s assortativity coefficient. In general, the influence of different Stroke sets on the measures of degree correlation is minor and limited. (3) When measured by Litvak-Hofs- tad 's assortativity coefficient, the degree correlation of urban road street network is positively correlated with its robustness.
出处
《武汉大学学报(信息科学版)》
EI
CSCD
北大核心
2016年第5期672-678,共7页
Geomatics and Information Science of Wuhan University
基金
国家基础科学人才培养基金武汉大学地理科学理科基地创新项目(J1103409)~~
关键词
城市道路网
拓扑分析
度相关性
同配性系数
鲁棒性
urban street network
topological analysis
degree correlation
assortativity coefficient
robustness