Multiplex networks in metropolitan areas: generic features and local effects

Most large cities are spanned by more than one transportation system. These different modes of transport have usually been studied separately: it is however important to understand the impact on urban systems of coupling different modes and we report in this paper an empirical analysis of the coupling between the street network and the subway for the two large metropolitan areas of London and New York. We observe a similar behaviour for network quantities related to quickest paths suggesting the existence of generic mechanisms operating beyond the local peculiarities of the specific cities studied. An analysis of the betweenness centrality distribution shows that the introduction of underground networks operate as a decentralizing force creating congestion in places located at the end of underground lines. Also, we find that increasing the speed of subways is not always beneficial and may lead to unwanted uneven spatial distributions of accessibility. In fact, for London—but not for New York—there is an optimal subway speed in terms of global congestion. These results show that it is crucial to consider the full, multimodal, multilayer network aspects of transportation systems in order to understand the behaviour of cities and to avoid possible negative side-effects of urban planning decisions.

[1]  M. Barthelemy,et al.  A typology of street patterns , 2014, 1410.2094.

[2]  S Shai,et al.  Coupled adaptive complex networks. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Stephen Marshall,et al.  街道与形态 (Streets and patterns) , 2004 .

[4]  Vito Latora,et al.  Urban Street Networks, a Comparative Analysis of Ten European Cities , 2012, 1211.0259.

[5]  Marc Barthelemy,et al.  Self-organization versus top-down planning in the evolution of a city , 2013, Scientific Reports.

[6]  Z. Wang,et al.  The structure and dynamics of multilayer networks , 2014, Physics Reports.

[7]  S. Porta,et al.  Street centrality and land use intensity in Baton Rouge, Louisiana , 2011 .

[8]  Vito Latora,et al.  Elementary processes governing the evolution of road networks , 2012, Scientific Reports.

[9]  V. Latora,et al.  The Network Analysis of Urban Streets: A Primal Approach , 2006 .

[10]  Max Boisot The Information Perspective , 1999 .

[11]  M Barthelemy,et al.  Transport on coupled spatial networks. , 2012, Physical review letters.

[12]  Massimo Marchiori,et al.  Is the Boston subway a small-world network? , 2002 .

[13]  S. Derrible,et al.  Network Analysis of World Subway Systems Using Updated Graph Theory , 2009 .

[14]  S. Derrible,et al.  Characterizing metro networks: state, form, and structure , 2010 .

[15]  Catherine Gloaguen,et al.  Mathematics and morphogenesis of cities: a geometrical approach. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Marta C. González,et al.  On the role of spatial dynamics and topology on network flows , 2013, 1501.01275.

[17]  Marc Barthelemy,et al.  Anatomy and efficiency of urban multimodal mobility , 2014, Scientific Reports.

[18]  V. Latora,et al.  Street Centrality and Densities of Retail and Services in Bologna, Italy , 2009 .

[19]  V. Latora,et al.  Structural properties of planar graphs of urban street patterns. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Vito Latora,et al.  The network analysis of urban streets: A dual approach , 2006 .

[21]  W. Y. Szeto,et al.  Review on Urban Transportation Network Design Problems , 2013 .

[22]  A. P. Masucci,et al.  Random planar graphs and the London street network , 2009, 0903.5440.

[23]  L. D. Costa,et al.  On the efficiency of transportation systems in large cities , 2010 .

[24]  David M Levinson,et al.  Density and Dispersion: The Co-Development of Land Use and Rail in London , 2007 .

[25]  Marc Barthelemy,et al.  Spatial Networks , 2010, Encyclopedia of Social Network Analysis and Mining.

[26]  Albert Solé-Ribalta,et al.  Navigability of interconnected networks under random failures , 2013, Proceedings of the National Academy of Sciences.

[27]  K Sneppen,et al.  Networks and cities: an information perspective. , 2005, Physical review letters.

[28]  Mason A. Porter,et al.  Multilayer networks , 2013, J. Complex Networks.

[29]  Christophe Claramunt,et al.  Topological Analysis of Urban Street Networks , 2004 .

[30]  Dirk Helbing,et al.  Scaling laws in the spatial structure of urban road networks , 2006 .

[31]  Reik V. Donner,et al.  Urban road networks — spatial networks with universal geometric features? , 2011, ArXiv.

[32]  David M Levinson,et al.  Measuring the Structure of Road Networks , 2007 .

[33]  Darren Baird,et al.  Alterations in scale: Patterns of change in main street networks across time and space , 2014 .

[34]  Mattia Zanella,et al.  The Form of Gentrification , 2014 .

[35]  B. Jiang A topological pattern of urban street networks: Universality and peculiarity , 2007, physics/0703223.

[36]  Alessandro Flammini,et al.  Modeling urban street patterns. , 2007, Physical review letters.

[37]  Michael Batty,et al.  A long-time limit of world subway networks , 2011, 1105.5294.

[38]  Leonard M. Freeman,et al.  A set of measures of centrality based upon betweenness , 1977 .

[39]  Harry Eugene Stanley,et al.  Catastrophic cascade of failures in interdependent networks , 2009, Nature.

[40]  Conrado J. Pérez Vicente,et al.  Diffusion dynamics on multiplex networks , 2012, Physical review letters.

[41]  V. Latora,et al.  Centrality measures in spatial networks of urban streets. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[42]  Sybil Derrible,et al.  The complexity and robustness of metro networks , 2010 .

[43]  A. Arenas,et al.  Mathematical Formulation of Multilayer Networks , 2013, 1307.4977.

[44]  David M Levinson,et al.  Evolving Transportation Networks , 2011 .