Abstract
Circuity, also called as the detour index or the route factor, is the ratio of the network distance between two points to the Euclidean or ‘as-the-crow-flies’ distance. This study aims to present a simple yet effective procedure to assess the transport network efficiency in and between different parts of an urban area using circuity and concentering partitioning. As an example, the road network of the city of Paris and its vicinity is examined using planar network data from OpenStreetMap. The variation in circuity levels is analyzed by quantifying the physical structure of the street network through the use of graph theory-based topological indices. The findings reveal that the beta index, or the average number of edges per node, and the order of a node, or the number of edges connecting to a node, plan a more important role in having more direct routes with less circuity in a road network. It is concluded that that the priorities in city planning affect the efficiency of transportation and the efficiency of the network can be assessed by a simple yet effective procedure based on circuity to guide policymaking.
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References
Cubukcu, K. M. (2001). Factors affecting shopping trip generation rates in metropolitan areas. Studies in Regional and Urban Planning, 9, 51–68.
Muller, P. O. (2017). Transportation and urban form: Stages in the spatial evolution of the American metropolises. In G. Giuliano & S. Hanson (Eds.), The geography of urban transportation (4th ed., pp. 57–85). New York: The Guilford Press.
Sohn, J. (2005). Are commuting patterns a good indicator of urban spatial structure? Journal of Transport Geography, 13(4), 306–317.
Levinson, D. (2012). Network structure and city size. PLoS ONE, 7(1), e29721.
Tsekeris, T., & Geroliminis, N. (2013). City size, network structure and traffic congestion. Journal of Urban Economics, 76, 1–14.
Boscoe, F. P., Henry, K. A., & Zdeb, M. S. (2012). A nationwide comparison of driving distance versus straight-line distance to hospitals. The Professional Geographer, 64(2), 188–196.
Levin, O. (2015). Discrete mathematics: An open introduction. South Carolina: CreateSpace.
Sarkar, P. K., Maitri, V., & Joshi, G. J. (2017). Transportation planning: Principles, practices and policies. Ltd: PHI Learning Pvt.
Bin, X., & Zhongyi, Z. (2010). Graph theory, mathematical olympiad series. London: East China University Press.
Barthelemy, M. (2011). Spatial networks. Physics Reports, 499, 1–101.
Nilsson, L., & Gil, J. (2019). The signature of organic urban growth. In L. D’Acci (Ed.), The mathematics of urban morphology (pp. 93–121). Cham: Birkhäuser.
Rodrigue, J. P., Comtois, C., & Slack, B. (2016). The geography of transport systems. Abingdon: Routledge.
Kansky, K. (1963). Structure of transportation networks: Relationships between network geometry and regional characteristics. Research paper 84, Department of Geography, University of Chicago, Chicago.
Kansky, K., & Danscoine, P. (1989). Measures of network structure. FLUX Cahiers scientifiques internationaux Réseaux et Territoires, 5(1), 89–121.
Haggett, P. (1967). Models, paradigms and the new geography. In P. Haggett & R. J. Chorley (Eds.), Models in geography (pp. 19–41). Methuen: London.
Nagne, A. D., & Gawali, B. W. (2013). Transportation network analysis by using Remote Sensing and GIS a review. International Journal of Engineering Research and Applications, 3(3), 70–76.
Huang, J., & Levinson, D. M. (2015). Circuity in urban transit networks. Journal of Transport Geography, 48, 145–153.
Boeing, G. (2019). The Morphology and circuity of walkable and drivable street networks. In L. D’Acci (Ed.), The mathematics of urban morphology (pp. 271–287). Cham: Birkhäuser.
Ballou, R. H., Rahardja, H., & Sakai, N. (2002). Selected country circuity factors for road travel distance estimation. Transportation Research Part A: Policy and Practice, 36(9), 843–848.
Barbour, K. M. (1977). Rural road lengths and farm-market distances in north-east Ulster. Geografiska Annaler: Series B, Human Geography, 59(1), 14–27.
Giacomin, D. J., & Levinson, D. M. (2015). Road network circuity in metropolitan areas. Environment and Planning B: Planning and Design, 42(6), 1040–1053.
O’Sullivan, S., & Morrall, J. (1996). Walking distances to and from light-rail transit stations. Transportation Research Record, 1538(1), 19–26.
Levinson, D., & El-Geneidy, A. (2009). The minimum circuity frontier and the journey to work. Regional Science and Urban Economics, 39(6), 732–738.
Friedmann, J. (1986). The world city hypothesis. Development and Change, 17(1), 69–83.
Yamu, C. (2014). It is simply complex (ity) modeling and simulation in the light of decision-making, emergent structures and a world of non-linearity. The Planning Review, 50(4), 43–53.
Blanchard, P., & Volchenkov, D. (2008). Mathematical analysis of urban spatial networks. Berlin: Springer.
Costa, L. D. F., Travençolo, B. A. N., Viana, M. P., & Strano, E. (2010). On the efficiency of transportation systems in large cities. Europhysics Letters (EPL), 91(1), 18003.
Barthelemy, M. (2014). Discussion: Social and spatial networks. Les nouvelles de l’archéologie, 135, 51–61.
Jiang, B., Duan, Y., Lu, F., Yang, T., & Zhao, J. (2014). Topological structure of urban street networks from the perspective of degree correlations. Environment and Planning B: Planning and Design, 41(5), 813–828.
Buczkowska, S., Coulombel, N., & de Lapparent, M. (2019). A comparison of euclidean distance, travel times, and network distances in location choice mixture models. Networks and Spatial Economics, 19(4), 1215–1248.
Barles, S. (2009). Urban metabolism of Paris and its region. Journal of Industrial Ecology, 13(6), 898–913.
Haklay, M., & Weber, P. (2008). Openstreetmap: User-generated street maps. IEEE Pervasive Computing, 7(4), 12–18.
Battersby, S. E., Finn, M. P., Usery, E. L., & Yamamoto, K. H. (2014). Implications of web Mercator and its use in online mapping. Cartographica: The International Journal for Geographic Information and Geovisualization, 49(2), 85–101.
Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269–271.
Jiao, L. (2015). Urban land density function: A new method to characterize urban expansion. Landscape and Urban Planning, 139, 26–39.
Hammond, R., & McCullagh, P. S. (1978). Quantitative techniques in geography: An introduction (2nd ed.). Oxford: Oxford University Press.
Cubukcu, K. M. (2015). Examining the street patterns in Izmir in the 19th Century: A network based spatial analysis. Procedia-Social and Behavioral Sciences, 202, 436–441.
Cardillo, A., Scellato, S., Latora, V., & Porta, S. (2006). Structural properties of planar graphs of urban street patterns. Physical Review E, 73(6), 066107.
Bedarida, F., & Sutcliffe, A. (1980). The street in the structure and life of the city: Reflections on nineteenth-century London and Paris. Journal of Urban History, 6(4), 379–396.
Bacon, E. N. (1974). Design of cities. London: Thames and Hudson.
Sevtsuk, A., & Mekonnen, M. (2012). Urban network analysis. Revue internationale de géomatique, 287, 305.
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I would like to thank three anonymous reviewers for the valuable comments. Any mistakes are my own.
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Cubukcu, K. Using circuity as a network efficiency measure: the example of Paris. Spat. Inf. Res. 29, 163–172 (2021). https://doi.org/10.1007/s41324-020-00342-w
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DOI: https://doi.org/10.1007/s41324-020-00342-w