Scaling laws in the spatial structure of urban road networks

Scaling laws in the spatial structure of urban road networks
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DOI:
10.1016/j.physa.2006.01.051
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发表时间:
2006-04-15
影响因子:
3.3
通讯作者:
Helbing, D
Helbing, D
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Lämmer, S;Gehlsen, B;Helbing, D

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根据一个详细的数据库,对德国20个最大城市的城市道路网络进行了分析,该数据库提供了地理位置以及网络规模高达37,000个节点和87,000个链接的旅行时间。由于人类驾驶员识别的是行驶时间而不是距离,所以较快的道路似乎比较慢的道路“更短”。得到的度量空间具有有效维数δ >2,这是衡量道路速度异质性的重要指标。我们发现,交通高度集中在一小部分道路上。道路上车辆流量的分布遵循幂律。表明道路的清晰的等级顺序。研究被道路包围的区域的细胞结构,细胞大小的分布也是尺度不变的。(c) 2006 Elsevier B.V.版权所有
The urban road networks of the 20 largest German cities have been analysed, based on a detailed database providing the geographical positions as well as the travel-times for network sizes up to 37,000 nodes and 87,000 links. As the human driver recognises travel-times rather than distances, faster roads appear to be 'shorter' than slower ones. The resulting metric space has an effective dimension delta > 2, which is a significant measure of the heterogeneity of road speeds. We found that traffic strongly concentrates on only a small fraction of the roads. The distribution of vehicular flows over the roads obeys a power law.. indicating a clear hierarchical order of the roads. Studying the cellular structure of the areas enclosed by the roads, the distribution of cell sizes is scale invariant as well. (c) 2006 Elsevier B.V. All rights reserved.