2022
DOI: 10.1038/s41467-022-33344-3
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Quantifying ethnic segregation in cities through random walks

Abstract: Socioeconomic segregation has an important role in the emergence of large-scale inequalities in urban areas. Most of the available measures of spatial segregation depend on the scale and size of the system under study, or neglect large-scale spatial correlations, or rely on ad-hoc parameters, making it hard to compare different systems on equal grounds. We propose here a family of non-parametric measures for spatial distributions, based on the statistics of the trajectories of random walks on graphs associated… Show more

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Cited by 13 publications
(6 citation statements)
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“…To address these issues, Ballester and Vorsatz 28 introduced a random-walk based approach, utilising an eigenvector-based centrality measure to estimate the likelihood of inter-group encounters. Further building on random-walk methods, Sousa and Nicosia 29 proposed non-parametric measures that use random walk trajectories to quantify segregation, accounting for the diversity of urban systems through a null model. Although these graph-theoretic approaches provide a natural way to capture the dimensions of residential segregation, their application has been limited to arbitrary definitions of areal units in which different groups reside.…”
Section: Related Workmentioning
confidence: 99%
“…To address these issues, Ballester and Vorsatz 28 introduced a random-walk based approach, utilising an eigenvector-based centrality measure to estimate the likelihood of inter-group encounters. Further building on random-walk methods, Sousa and Nicosia 29 proposed non-parametric measures that use random walk trajectories to quantify segregation, accounting for the diversity of urban systems through a null model. Although these graph-theoretic approaches provide a natural way to capture the dimensions of residential segregation, their application has been limited to arbitrary definitions of areal units in which different groups reside.…”
Section: Related Workmentioning
confidence: 99%
“…Amsterdam Environment To model the real-life environment of Amsterdam, we create a graph where census tracts are converted to nodes, which are connected with their neighboring tracts via an unweighted edge. This graph structure has recently been used to quantify segregation because it provides a scale-free and generalizable method [13]. In total, the graph consists of n v = 517 nodes and n e = 1611 edges.…”
Section: Sbm Environmentmentioning
confidence: 99%
“…Spatial agent-based models are typically designed for grid-like environments, assuming structured connections between areas [2,7]. However, social phenomena involving movement and transportation interventions can benefit from integrating network science methods [35,36]. To achieve this, agents' environments are modeled as heterogeneous networks, providing a more realistic representation of physical space and, in this case, transportation networks.…”
Section: The Role Of Networkmentioning
confidence: 99%
“…To model the real-world environment of Amsterdam, we create a graph where census tracts are converted to nodes, which are connected with their neighbouring tracts via an (1) p in = p base + m p out = p base − m unweighted edge. This graph structure has recently been used to quantify segregation and community structure on graphs because it offers the possibility to define methods (based on random walks) of that are independent of cities' scale and structure [36,54]. In total, the graph consists of n v = 517 nodes and n e = 1611 edges.…”
Section: Amsterdam Environmentmentioning
confidence: 99%