The angular nature of road networks

Abstract Road networks are characterised by several structural and geometrical properties. The topological structure determines partially the hierarchical arrangement of roads, but since these are networks that are spatially constrained, geometrical properties play a fundamental role in determining...

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Autores principales:	Carlos Molinero, Roberto Murcio, Elsa Arcaute
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/ad0a040d77f0417fad666c3fdc038308
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id	oai:doaj.org-article:ad0a040d77f0417fad666c3fdc038308
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spelling	oai:doaj.org-article:ad0a040d77f0417fad666c3fdc0383082021-12-02T12:32:27ZThe angular nature of road networks10.1038/s41598-017-04477-z2045-2322https://doaj.org/article/ad0a040d77f0417fad666c3fdc0383082017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04477-zhttps://doaj.org/toc/2045-2322Abstract Road networks are characterised by several structural and geometrical properties. The topological structure determines partially the hierarchical arrangement of roads, but since these are networks that are spatially constrained, geometrical properties play a fundamental role in determining the network’s behaviour, characterising the influence of each of the street segments on the system. In this work, we apply percolation theory to the UK’s road network using the relative angle between street segments as the occupation probability. The appearance of the spanning cluster is marked by a phase transition, indicating that the system behaves in a critical way. Computing Shannon’s entropy of the cluster sizes, different stages of the percolation process can be discerned, and these indicate that roads integrate to the giant cluster in a hierarchical manner. This is used to construct a hierarchical index that serves to classify roads in terms of their importance. The obtained classification is in very good correspondence with the official designations of roads. This methodology hence provides a framework to consistently extract the main skeleton of an urban system and to further classify each road in terms of its hierarchical importance within the system.Carlos MolineroRoberto MurcioElsa ArcauteNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Carlos Molinero Roberto Murcio Elsa Arcaute The angular nature of road networks
description	Abstract Road networks are characterised by several structural and geometrical properties. The topological structure determines partially the hierarchical arrangement of roads, but since these are networks that are spatially constrained, geometrical properties play a fundamental role in determining the network’s behaviour, characterising the influence of each of the street segments on the system. In this work, we apply percolation theory to the UK’s road network using the relative angle between street segments as the occupation probability. The appearance of the spanning cluster is marked by a phase transition, indicating that the system behaves in a critical way. Computing Shannon’s entropy of the cluster sizes, different stages of the percolation process can be discerned, and these indicate that roads integrate to the giant cluster in a hierarchical manner. This is used to construct a hierarchical index that serves to classify roads in terms of their importance. The obtained classification is in very good correspondence with the official designations of roads. This methodology hence provides a framework to consistently extract the main skeleton of an urban system and to further classify each road in terms of its hierarchical importance within the system.
format	article
author	Carlos Molinero Roberto Murcio Elsa Arcaute
author_facet	Carlos Molinero Roberto Murcio Elsa Arcaute
author_sort	Carlos Molinero
title	The angular nature of road networks
title_short	The angular nature of road networks
title_full	The angular nature of road networks
title_fullStr	The angular nature of road networks
title_full_unstemmed	The angular nature of road networks
title_sort	angular nature of road networks
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/ad0a040d77f0417fad666c3fdc038308
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The angular nature of road networks

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