Urban segregation on multilayered transport networks: a random walk approach

Abstract We present a novel method for analysing socio-spatial segregation in cities by considering constraints imposed by transportation networks. Using a multilayered network approach, we model the interaction probabilities of socio-economic groups with random walks and Lévy flights. This method a...

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Main Authors: Mateo Neira, Carlos Molinero, Stephen Marshall, Elsa Arcaute
Format: Article
Language:English
Published: Nature Portfolio 2024-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-58932-9
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author Mateo Neira
Carlos Molinero
Stephen Marshall
Elsa Arcaute
author_facet Mateo Neira
Carlos Molinero
Stephen Marshall
Elsa Arcaute
author_sort Mateo Neira
collection DOAJ
description Abstract We present a novel method for analysing socio-spatial segregation in cities by considering constraints imposed by transportation networks. Using a multilayered network approach, we model the interaction probabilities of socio-economic groups with random walks and Lévy flights. This method allows for evaluation of new transport infrastructure’s impact on segregation while quantifying each network’s contribution to interaction opportunities. The proposed random walk segregation index measures the probability of individuals encountering diverse social groups based on their available means of transit via random walks. The index incorporates temporal constraints in urban mobility with a parameter, $$\alpha \in [0,1)$$ α ∈ [ 0 , 1 ) , of the probability of the random walk continuing at each time step. By applying this to a toy model and conducting a sensitivity analysis, we explore how the index changes dependent on this temporal constraint. When the parameter equals zero, the measure simplifies to an isolation index. When the parameter approaches one it represents the city’s overall socio-economic distribution by mirroring the steady-state of the random walk process. Using Cuenca, Ecuador as a case study, we illustrate the method’s applicability in transportation planning as a valuable tool for policymakers, addressing spatial distribution of socio-economic groups and the connectivity of existing transport networks, thus promoting equitable interactions throughout the city.
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spelling doaj.art-8f3eeff158e7411ab7fc318e9789428b2024-04-14T11:16:17ZengNature PortfolioScientific Reports2045-23222024-04-0114111410.1038/s41598-024-58932-9Urban segregation on multilayered transport networks: a random walk approachMateo Neira0Carlos Molinero1Stephen Marshall2Elsa Arcaute3Alan Turing InstituteCentre for Advanced Spatial Analysis, University College LondonBartlett School of Planning, University College LondonAlan Turing InstituteAbstract We present a novel method for analysing socio-spatial segregation in cities by considering constraints imposed by transportation networks. Using a multilayered network approach, we model the interaction probabilities of socio-economic groups with random walks and Lévy flights. This method allows for evaluation of new transport infrastructure’s impact on segregation while quantifying each network’s contribution to interaction opportunities. The proposed random walk segregation index measures the probability of individuals encountering diverse social groups based on their available means of transit via random walks. The index incorporates temporal constraints in urban mobility with a parameter, $$\alpha \in [0,1)$$ α ∈ [ 0 , 1 ) , of the probability of the random walk continuing at each time step. By applying this to a toy model and conducting a sensitivity analysis, we explore how the index changes dependent on this temporal constraint. When the parameter equals zero, the measure simplifies to an isolation index. When the parameter approaches one it represents the city’s overall socio-economic distribution by mirroring the steady-state of the random walk process. Using Cuenca, Ecuador as a case study, we illustrate the method’s applicability in transportation planning as a valuable tool for policymakers, addressing spatial distribution of socio-economic groups and the connectivity of existing transport networks, thus promoting equitable interactions throughout the city.https://doi.org/10.1038/s41598-024-58932-9
spellingShingle Mateo Neira
Carlos Molinero
Stephen Marshall
Elsa Arcaute
Urban segregation on multilayered transport networks: a random walk approach
Scientific Reports
title Urban segregation on multilayered transport networks: a random walk approach
title_full Urban segregation on multilayered transport networks: a random walk approach
title_fullStr Urban segregation on multilayered transport networks: a random walk approach
title_full_unstemmed Urban segregation on multilayered transport networks: a random walk approach
title_short Urban segregation on multilayered transport networks: a random walk approach
title_sort urban segregation on multilayered transport networks a random walk approach
url https://doi.org/10.1038/s41598-024-58932-9
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