UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

A long-time limit for world subway networks

Roth, C; Kang, SM; Batty, M; Barthelemy, M; (2012) A long-time limit for world subway networks. Journal of the Royal Society Interface , 9 (75) pp. 2540-2550. 10.1098/rsif.2012.0259.

Full text not available from this repository.

Abstract

We study the temporal evolution of the structure of the world's largest subway networks in an exploratory manner. We show that, remarkably, all these networks converge to a shape that shares similar generic features despite their geographical and economic differences. This limiting shape is made of a core with branches radiating from it. For most of these networks, the average degree of a node (station) within the core has a value of order 2.5 and the proportion of k = 2 nodes in the core is larger than 60 per cent. The number of branches scales roughly as the square root of the number of stations, the current proportion of branches represents about half of the total number of stations, and the average diameter of branches is about twice the average radial extension of the core. Spatial measures such as the number of stations at a given distance to the barycentre display a first regime which grows as r(2) followed by another regime with different exponents, and eventually saturates. These results--difficult to interpret in the framework of fractal geometry--confirm and yield a natural explanation in the geometric picture of this core and their branches: the first regime corresponds to a uniform core, while the second regime is controlled by the interstation spacing on branches. The apparent convergence towards a unique network shape in the temporal limit suggests the existence of dominant, universal mechanisms governing the evolution of these structures.

Type: Article
Title: A long-time limit for world subway networks
Location: England
DOI: 10.1098/rsif.2012.0259
Publisher version: http://dx.doi.org/10.1098/rsif.2012.0259
Language: English
Keywords: Cities, Models, Theoretical, Railroads
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
UCL > School of BEAMS > Faculty of Engineering Science > Management Science and Innovation
UCL > School of BEAMS > Faculty of the Built Environment
UCL > School of BEAMS > Faculty of the Built Environment > Centre for Advanced Spatial Analysis
URI: http://discovery.ucl.ac.uk/id/eprint/1362249
Downloads since deposit
0Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item