城市道路网的度相关性及其与网络鲁棒性的关系研究

Degree Correlation of Urban Street Networks and Its Relationship with Network Robustness

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.