dorsal/arxiv
View SchemaScaling laws in the spatial structure of urban road networks
| Authors | Stefan Lämmer, Björn Gehlsen, Dirk Helbing |
|---|---|
| Categories | |
| ArXiv ID | physics/0603257 |
| URL | https://arxiv.org/abs/physics/0603257 |
| DOI | 10.1016/j.physa.2006.01.051 |
| Journal | S. L\"ammer, B. Gehlsen, and Dirk Helbing (2006) Scaling laws in the spatial structure of urban road networks, Physica A 363(1) 89-95 |
Abstract
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 d>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.
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"abstract": "The urban road networks of the 20 largest German cities have been analysed,\nbased on a detailed database providing the geographical positions as well as\nthe travel-times for network sizes up to 37,000 nodes and 87,000 links. As the\nhuman driver recognises travel-times rather than distances, faster roads appear\nto be \u0027shorter\u0027 than slower ones. The resulting metric space has an effective\ndimension d\u003e2, which is a significant measure of the heterogeneity of road\nspeeds. We found that traffic strongly concentrates on only a small fraction of\nthe roads. The distribution of vehicular flows over the roads obeys a power\nlaw, indicating a clear hierarchical order of the roads. Studying the cellular\nstructure of the areas enclosed by the roads, the distribution of cell sizes is\nscale invariant as well.",
"arxiv_id": "physics/0603257",
"authors": [
"Stefan L\u00e4mmer",
"Bj\u00f6rn Gehlsen",
"Dirk Helbing"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1016/j.physa.2006.01.051",
"journal_ref": "S. L\\\"ammer, B. Gehlsen, and Dirk Helbing (2006) Scaling laws in\n the spatial structure of urban road networks, Physica A 363(1) 89-95",
"title": "Scaling laws in the spatial structure of urban road networks",
"url": "https://arxiv.org/abs/physics/0603257"
},
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