Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-23T02:43:44.408Z Has data issue: false hasContentIssue false

A spatial multi-scale object to analyze road networks

Published online by Cambridge University Press:  12 February 2015

C. LAGESSE
Affiliation:
Université Paris Diderot, Sorbonne Paris Cité, Matière et Systemes Complexes (MSC), UMR 7057, Paris, France (e-mail: [email protected])
P. BORDIN
Affiliation:
Université Paris-Est, Institut de Recherche en Constructibilité, ESTP, Cachan, France Université Paris Diderot, Sorbonne Paris Cité, Institut des Energies de Demain (IED), UMR 8236, Paris, France
S. DOUADY
Affiliation:
Université Paris Diderot, Sorbonne Paris Cité, Matière et Systemes Complexes (MSC), UMR 7057, Paris, France

Abstract

City road networks have been extensively studied for their social significance or to quantify their connections and centralities, but often their geographical origin is forgotten. This work focuses on the spatial-geographical and geometrical aspects of the road network skeleton. Following previous work, a multi-scale object, the way, is constructed, based only on the local geometry at road crossings. The best method to reconstruct significant elements is investigated. The results show that this object is geographically meaningful, with many particular characteristics. A new indicator, structurality, is introduced and compared with previous indicators, on the cities of Paris and Avignon. Structurality appears to be stable over the borders of the map sample, and is able to reveal the underlying coherence of the road network. This stability can be interpreted as coming from the particular way the network developed in time, and was later preserved. This link with the historical development of the cites, which deserves to be further studied, is exemplified in the cases of Villers-sur-Mer (France) and Manaus (Brazil). The construction method, the results, and their potential meaning are discussed in detail so that they can be used in various related disciplines, such as sociology, town planning, geomatics, and physics.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Albert, R., & Barabási, A.-L. (2002). Statistical mechanics of complex networks. Reviews of Modern Physics, 74, 4797.Google Scholar
Banos, A., & Thévenin, T. (Eds.) (2013). Geographical information and urban transport systems. Hoboken, NJ: John Wiley & Sons, Inc.Google Scholar
Barthelemy, M. (2011). Spatial networks. Physics Reports, 499, 1101.Google Scholar
Barthelemy, M., Bordin, P., Berestycki, H., & Gribaudi, M. (2013). Self-organization versus top-down planning in the evolution of a city. Scientific Reports 3, 2153.Google Scholar
Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., & Hwang, D.-U. (2006). Complex networks: Structure and dynamics. Physics Reports-review Section of Physics Letters, 424, 175308.Google Scholar
Bohn, S., Andreotti, B., Douady, S., Munzinger, J., & Couder, Y. (2002). Constitutive property of the local organization of leaf venation networks. Physical Review E, 65, 061914.Google Scholar
Bohn, S., Douady, S., & Couder, Y. (2005a). Four sided domains in hierarchical space dividing patterns. Physical Review Letters, 94, 054503.CrossRefGoogle ScholarPubMed
Bohn, S., Pauchard, L., & Couder, Y. (2005b). Hierarchical crack pattern as formed by successive domain divisions. Physical Review E, 71, 046214.Google Scholar
Bordin, P. (2006). Méthode d'observation multi-niveaux pour le suivi de phénomènes géographiques avec un sig. Ph.D. thesis, Université de Marne-la-Vallée.Google Scholar
Buhl, J., Gautrais, J., Reeves, N., Solé, R. V., Valverde, R. V., Kuntz, P., & Theraulaz, G. (2006). Topological patterns in street networks of self-organized urban settlements. European Physical Journal B, 49, 513522.Google Scholar
Cardillo, A., Scellato, S., Latora, V., & Porta, S. (2006). Structural properties of planar graphs of urban street patterns. Physical Review E, 73, 066107.Google Scholar
Courtat, T. (2012). Walk on city maps. Physical and mathematical phenomenology of the city - A geometrical approach. Ph.D. thesis.Google Scholar
Courtat, T., Gloaguen, C., & Douady, S. (2011). Mathematics and morphogenesis of cities: A geometrical approach. Physical Review E, 83, 036106.Google Scholar
Crucitti, P., Latora, V., & Porta, S. (2006). Centrality measures in spatial networks of urban streets. Physical Review E, 73, 036125.Google Scholar
Freeman, L. C. (1977). A set of measures of centrality based on betweenness. Sociometry, 40, 3541.Google Scholar
Genre-Grandpierre, C. (2001). La structure topologique et fonctionnelle des réseaux routiers urbains comme déterminant de la géographie des flux de déplacements. colloque Géopoint L'explication en géographie, May 2000, Avignon, France. pp. 6067.Google Scholar
Genre-Grandpierre, C., & Banos, A. (2010). New types of metrics for urban road networks explored with S3: an agent-based simulation platform. volume 325, Bai, Q., & Fukuta, N. pp. 267286. Berlin Heidelberg: Springer.Google Scholar
Genre-Grandpierre, C., & Foltête, J.-C. (2003). Morphologie urbaine et mobilité en marche à pied. Cybergeo: Revue européenne de géographie / European Journal of Geography, 248, 122.Google Scholar
Hamaina, R., Leduc, T., & Moreau, G. (2012). Caractérisation des tissus urbains à partir de l'analyse structurelle des réseaux viaires. Cybergeo: European Journal of Geography, 581. doi: 10.4000/cybergeo.25009.Google Scholar
Hillier, B. (2006). Studying Cities to learn about minds; How geometric intuitions shape urban space and make it work. In Hölscher, Conroy Dalton, Turner (Eds.), Space syntax and spatial cognition (pp. 11–31).Google Scholar
Hillier, B., Penn, A., Hanson, J., Grajewski, T., & Xu, J. (1993). Natural movement or, configuration and attraction in urban pedestrian movement. Environment and Planning B - Planning & Design, 20, 2966.Google Scholar
Huard, M. (2013). Atlas Historique de Paris. Retrieved from http://paris-atlas-historique.fr.Google Scholar
Jiang, B., & Claramunt, C. (2004). Topological analysis of urban street networks. Environment and Planning B - Planning & Design, 31, 151162.Google Scholar
Lee, S. H., & Holme, P. (2012). Exploring maps with greedy navigators. Physical Review Letters.Google Scholar
O'Sullivan, D. (2014). Spatial network analysis. In Fischer, M. M., & Nijkamp, P. (Eds.), Handbook of regional science. Berlin Heidelberg: Springer.Google Scholar
Pailhous, J. (1970). Représentation de l'espace urbain et cheminements : l'exemple du chauffeur de taxi. Presses Universitaires de France.Google Scholar
Perna, A., Kuntz, P., & Douady, S. (2011). Characterization of spatial networklike patterns from junction geometry. Physical Review E, 83, 066106.Google Scholar
Porta, S., Crucitti, P., & Latora, V. (2006). The network analysis of urban streets: A dual approach. Physical A - Statistical Mechanics and its Applications, 369, 853866.Google Scholar
Rouleau, B. (1988). Le tracé des rues de Paris :Formation, Typologie, Fonctions. Paris: Editions du centre national de la recherche scientifique. ISBN 2-87682-009-9.Google Scholar
Scellato, S., Cardillo, A., Latora, V., & Porta, S. (2006). The backbone of a city. European Physical Journal B, 50, 221225.Google Scholar
Strano, E., Nicosia, V., Latora, V., Porta, S., & Barthelemy, M. (2012). Elementary processes governing the evolution of road networks. Scientific Reports, 2, 296.Google Scholar
Watteaux, M. (2003). Le plan radio-quadrillé des terroirs non planifiés. Études Rurales, 3, 187214.Google Scholar
Watteaux, M. (2009). La dynamique de la planimétrie et des réseaux routiers en Vendée méridionale. Études historiographiques et recherches archéogéographiques. Ph.D. thesis, Paris, Université de Paris I – Panthéon-Sorbonne.Google Scholar
Watteaux, M. (2012). Archéogéographie des réseaux viaires sud-vendéens : une lecture multiscalaire et diachronique du paysage routier. D. Menjot.Google Scholar