Abstract
In this work we analyze the architecture of real urban mobility networks from the multiplex perspective. In particular, based on empirical data about the mobility patterns in the cities of Bogotá and Medellín, each city is represented by six multiplex networks, each one representing the origin-destination trips performed by a subset of the population corresponding to a particular socioeconomic status. The nodes of each multiplex are the different urban locations whereas links represent the existence of a trip from one node (origin) to another (destination). On the other hand, the different layers of each multiplex correspond to the different existing transportation modes. By exploiting the characterization of multiplex transportation networks combining different transportation modes, we aim at characterizing the mobility patterns of each subset of the population. Our results show that the socioeconomic characteristics of the population have an extraordinary impact in the layer organization of these multiplex systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Stouffer, S.A.: Intervening opportunities: a theory relating mobility and distance. Am. Sociol. Rev. 5, 845–867 (1940)
Zipf, G.K.: The P 1 P 2∕D hypothesis: on the intercity movement of persons. Am. Sociol. Rev. 11, 677–686 (1946)
Erlander, S., Stewart, N.: The Gravity Model in Transportation Analysis: Theory and Extensions. VSP, Utrecht (1990)
Batty, M.: The size, scale, and shape of cities. Science 319, 769–771 (2008)
Porta, S., Latora, V., Wang, F., Rueda, S., Strano, E., Scellato, S., Cardillo, A., Belli, E., Cárdenas, F., Cormenzana, B., Latora, L.: Street centrality and location of economic activities in Barcelona. Urban Stud. 49, 1471–1488 (2011)
Porta, S., Latora, V., Wang, F., Strano, E., Cardillo, A., Scellato, S., Iacoviello, V., Messora, R.: Street centrality and densities of retail and services in Bologna, Italy. Environ. Plan. B Plan. Design 36, 450–465 (2009)
Guimerá, R., Mossa, S., Turtschi, A., Amaral, L.A.N.: The worldwide air transportation network: anomalous centrality, community structure, and cities’ global roles. Proc. Nat. Acad. Sci. U. S. A. 102, 7794–7799 (2005)
Asgari, F., Gauthier, V., Becker, M.: A survey on human mobility and its applications. arXiv:1307.0814 (2013)
Yan, X.-Y., Han, X.-P., Wang, B.-H., Zhou, T.: Diversity of individual mobility patterns and emergence of aggregated scaling laws. Sci. Rep. 3, 2678 (2013)
González, M.C., Hidalgo, C.A., Barabási, A.-L.: Understanding individual human mobility patterns. Nature 453, 779–782 (2008)
Wang, P., Hunter, T., Bayen, A.M., Schechtner, K., González, M.C.: Understanding road usage patterns in urban areas. Sci. Rep. 2, 1001 (2012)
Roth, C., Kang, S.M., Batty, M., Barthélemy, M.: Structure of urban movements: polycentric activity and entangled hierarchical flows. PLoS ONE 6, e15923 (2011)
Helbing, D., Buzna, L., Johansson, A., Werner, T.: Self-organized pedestrian crowd dynamics: experiments, simulations, and design solutions. Trans. Sci. 39, 1–24 (2005)
Bazzani, A., Giorgini, B., Rambaldi, S., Turchetti, G.: Complexcity: modeling urban mobility. Adv. Complex Syst. (ACS) 10, 255–270 (2007)
Song, C., Koren, T., Wang, P., Barabási, A.-L.: Modelling the scaling properties of human mobility. Nat. Phys. 6, 818–823 (2010)
Simini, F., González, M.C., Maritan, A., Barabási, A.-L.: A universal model for mobility and migration patterns. Nature 484, 96–100 (2012)
Eubank, S., Guclu, H., Kumar, V., Marathe, M.: Modelling disease outbreaks in realistic urban social networks. Nature 429, 180–184, (2004)
Colizza, V., Barrat, A., Barthélemy, M., Vespignani, A.: The role of the airline transportation network in the prediction and predictability of global epidemics. Proc. Nat. Acad. Sci. U. S. A. 103, 2015–2020 (2006)
Kleinberg, J.: Computing: the wireless epidemic. Nature 449, 287 (2007)
Balcan, D., Colizza, V., Gonçalves, B., Hu, H., Ramasco, J.J., Vespignani, A.: Multiscale mobility networks and the spatial spreading of infectious diseases. Proc. Nat. Acad. Sci. U. S. A. 106, 21484 (2009)
Tizzoni, M., Bajardi, P., Poletto, C., Ramasco, J.J., Balcan, D., Gonçalves, B., Perra, N., Colizza, V., Vespignani, A.: Real-time numerical forecast of global epidemic spreading: case study of 2009 A/H1N1pdm. BMC Med. 10, 165 (2012)
Poletto, C., Tizzoni, M., Colizza, V.: Human mobility and time spent at destination: impact on spatial epidemic spreading. J. Theor. Bio. 338, 41–58 (2013)
Albert, R., Barabási, A.L.: Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 47 (2002)
Newman, M.E.J.: The structure and function of complex networks. SIAM Rev. 45, 167–256 (2003)
Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., Hwang, D.: Complex networks: structure and dynamics. Phys. Rep. 424, 175–308 (2006)
Barthélemy, M.: Spatial networks. Phys. Rep. 499, 1–101 (2011)
Zaltz Austwick, M., O’Brien, O., Strano, E., Viana, M.: The structure of spatial networks and communities in bicycle sharing systems. PLoS ONE 8, e74685 (2013)
De Domenico, M., Solé-Ribalta, A., Cozzo, E., Kivelä, M., Moreno, Y., Porter, M.A., Arenas, A.: Mathematical formulation of multilayer networks. Phys. Rev. X 3, 041022 (2013)
Boccaletti, S., Bianconi, G., Criado, R., Del Genio, C.I., Gómez-Gardeñes, J., Romance, M., Sendiña-Nadal, I., Wang, Z., Zanin, M.: The structure and dynamics of multilayer networks. Phys. Rep. 544(1), 1–122 (2014)
Kivelä, M., Arenas, A., Barthélemy, M., Gleeson, J.P., Moreno, Y., Porter, M.A.: Multilayer networks. J. Complex Netw. 2(3), 203–271 (2014)
De Domenico, M., Solé-Ribalta, A., Gómez, S., Arenas, A.: Navigability of interconnected networks under random failures. Proc. Nat. Acad. Sci. U. S. A. 111(23), 8351–8356 (2014)
Kurant, M., Thiran, P.: Layered complex networks. Phys. Rev. Lett. 96, 138701 (2006)
Cardillo, A., Zanin, M., Gómez-Gardeñes, J., Romance, M., García del Amo, A.J., Boccaletti, S.: Modeling the multi-layer nature of the European air transport network: resilience and passengers re-scheduling under random failures. Eur. Phys. J. Spec. Top. 215, 23–33 (2013)
Cardillo, A., Gómez-Gardeñes, J., Zanin, M., Romance, M., Papo, D., Del Pozo, F., Boccaletti, S.: Emergence of network features from multiplexity. Sci. Rep. 3, 1344 (2013)
Secretaria Distrital de Movilidad: Informe de indicadores Encuesta de Movilidad de Bogotá 2011. Bogotá: Unión Temporal Steer Davies & Gleave Limited – Centro Nacional de Consultoría (2011). Retrieved from http://www.movilidadbogota.gov.co/?pag=1246
AREA Metropolitana del Valle de Aburrá: Capítulo 2: Diagnóstico. Formulación del Plan Maestro de Movilidad para la Región Metropolitana del Valle de Aburrá. Informe Final, pp. 21–72 (2006). Retrieved from: http://www.areadigital.gov.co/Movilidad/Documents/Plan%20Maestro%20de%20Movilidad.pdf
Barigozzi, M., Fagiolo, G., Garlaschelli, D.: Multinetwork of international trade: a commodity-specific analysis. Phys. Rev. E 81, 046104 (2010)
Bianconi, G.: Statistical mechanics of multiplex networks: entropy and overlap. Phys. Rev. E 87, 062806 (2013)
Kapferer, B.: Norms and the manipulation of relationships in a work context. In: Mitchell, J.C. (ed.) Social Networks in Urban Situations: Analyses of Personal Relationships in Central African Towns. Manchester University Press, Manchester (1969)
Parshani, R., Rozenblat, C., Ietri, D., Ducruet, C., Havlin, S.: Inter-similarity between coupled networks. Europhys. Lett. 92, 68002 (2010)
Battiston, F., Nicosia, V., Latora, V.: Structural measures for multiplex networks. Phys. Rev. E 89, 032804 (2014)
Acknowledgements
We acknowledge financial support from the European Commission through FET IP projects MULTIPLEX (Grant No. 317532) and PLEXMATH (Grant No. 317614), from the Spanish MINECO under projects FIS2011-25167 and FIS2012-38266-C02-01, from the Departamento de Industria e Innovación del Gobierno de Aragón and Fondo Social Europeo (Grupo FENOL), and from the Universidad Nacional de Colombia under grants HERMES 19010 and HERMES 16007. JGG is supported by the Spanish MINECO through the Ramón y Cajal program. AC acknowledge the financial support of SNSF through the project CRSII2_147609. We thank Area Metropolitana del Valle de Aburrá, in Medellín, and Secretaría Distrital de Movilidad, in Bogotá, for the Origin-Destination Surveys Datasets.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Lotero, L., Cardillo, A., Hurtado, R., Gómez-Gardeñes, J. (2016). Several Multiplexes in the Same City: The Role of Socioeconomic Differences in Urban Mobility. In: Garas, A. (eds) Interconnected Networks. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-23947-7_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-23947-7_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23945-3
Online ISBN: 978-3-319-23947-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)