Physics – Data Analysis – Statistics and Probability
Scientific paper
2011-02-17
Physics
Data Analysis, Statistics and Probability
16 pages; 8 figures
Scientific paper
Urban road networks have distinct geometric properties that are partially determined by their (quasi-) two-dimensional structure. In this work, we study these properties for 20 of the largest German cities. We find that the small-scale geometry of all examined road networks is extremely similar. The object-size distributions of road segments and the resulting cellular structures are characterised by heavy tails. As a specific feature, a large degree of rectangularity is observed in all networks, with link angle distributions approximately described by stretched exponential functions. We present a rigorous statistical analysis of the main geometric characteristics and discuss their mutual interrelationships. Our results demonstrate the fundamental importance of cost-efficiency constraints for in time evolution of urban road networks.
Chan Sonic H. Y.
Donner Reik V.
Lämmer Stefan
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