A long-time limit for world subway networks

@article{Roth2011ALL,
  title={A long-time limit for world subway networks},
  author={Camille Roth and Soong Moon Kang and Michael Batty and Marc Barthelemy},
  journal={Journal of The Royal Society Interface},
  year={2011},
  volume={9},
  pages={2540 - 2550}
}
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… 

Measuring the Time Evolution of Spatial Networks

The evolution of the road network appears here as resulting from the superimposition of continuous, local growth processes, and punctual changes operating at large spatial scales.

Scaling in Transportation Networks

The length, number of stations and ridership of subways and rail networks can be estimated knowing the area, population and wealth of the underlying region, and it is shown that train networks and subway systems can be described within the same framework, but with a fundamental difference.

Network Centrality of Metro Systems

Applying the notion of betweenness centrality to 28 worldwide metro systems is applied to study the emergence of global trends in the evolution of centrality with network size and offers significant insights that can help planners in their task to design the systems of tomorrow.

Network Centrality of Metro Systems

Network Centrality of Metro Systems offers significant insights that can help planners in their task to design the systems of tomorrow, and similar undertakings can easily be imagined to other urban infrastructure systems to develop more sustainable cities.

Efficiency in the evolution of metro networks

Metro systems extended rapidly in China, especially in the last decade, developing over a half-century. This work explores the dynamical evolution of the structural efficiency of metro systems

Wandering in cities: a statistical physics approach to urban theory

A stochastic, out-of-equilibrium model of city growth that describes the structure of the mobility pattern of individuals and a unifying theoretical framework in which segregation can be empirically characterised is proposed.

Time Evolution of Road Networks

Different results suggest that the evolution of a road network results from the superimposition of continuous, local growth processes and punctual changes operating at large spatial scales, opening new directions for the modelling of these systems.

Multiplex networks in metropolitan areas: generic features and local effects

An empirical analysis of the coupling between the street network and the subway for the two large metropolitan areas of London and New York shows 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.

Tendencies of Chinese subways’ spatial growth in 2000-2020

  • Roman Panov
  • Computer Science
    Prace Komisji Geografii Komunikacji PTG
  • 2022
Common features that define the “Chinese” type of subway are found and a new subtype of networks is identified, which is the most suitable object for studying the evolution of subway networks in China.

Examining Accessibility and Reliability in the Evolution of Subway Systems

Access level has consistently increased, along with the core-to-periphery improvement spatial pattern, while reliability has been quickly enhanced as a result of the completion of a circular line in the second stage and stabilized early since the third stage.
...

References

SHOWING 1-10 OF 48 REFERENCES

The complexity and robustness of metro networks

Topological Evolution of Surface Transportation Networks

Spatial Networks

  • M. Barthelemy
  • Computer Science
    Encyclopedia of Social Network Analysis and Mining
  • 2014

Spatial Dynamics, Networks and Modelling

As a result of the drastic changes caused by major systemic shifts in society, such as the rise of the knowledge economy or the increasing use of information and communication technology, modern

Statistical analysis of 22 public transport networks in Poland.

Public transport systems in 22 Polish cities have been analyzed and a transition between dissortative small networks and assortative large networks N approximately > or = 500 is observed.

Characterizing metro networks: state, form, and structure

The broad goal of this paper is to characterize the network feature of metro systems by adapting various concepts of graph theory to describe characteristics of State, Form and Structure; these three characteristics are defined using new or existing network indicators.

Measuring the Structure of Road Networks

The results show that the differentiated structures of road networks can be evaluated by the measure of entropy; predefined connection patterns of arterial roads can be identified and quantified by the measures of ringness, webness, beltness, circuitness, and treeness.

Public transport networks: empirical analysis and modeling

A simple model reproduces many of the identified PTN properties by growing networks of attractive self-avoiding walks, including a surprising geometrical behavior with respect to the two-dimensional geographical embedding and an unexpected attraction between transport routes.

Multiscale mobility networks and the spatial spreading of infectious diseases

The present approach outlines the possibility for the definition of layered computational approaches where different modeling assumptions and granularities can be used consistently in a unifying multiscale framework.