2019
DOI: 10.1073/pnas.1900192116
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Segregation through the multiscalar lens

Abstract: We introduce a mathematical framework that allows one to carry out multiscalar and multigroup spatial exploratory analysis across urban regions. By producing coefficients that integrate information across all scales and that are normalized with respect to theoretical maximally segregated configurations, this framework provides a practical and powerful tool for the comparative empirical analysis of urban segregation. We illustrate our method with a study of ethnic mixing in the Los Angeles metropolitan area.

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Cited by 42 publications
(36 citation statements)
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“…The importance of considering the interaction of different classes due to urban mobility has recently received some attention [40,41,44,46,54,55,[60][61][62]. The methodology presented here brings together the long-lasting dichotomy between segregation and exposure [41,42,44,45] allowing for the quantification of both and, more interestingly, showing that segregation and exposure can appear at the same time in certain contexts. The method based on the passage times of random walkers that we have presented here can be considered a generalization of multi-scale and k-nearest neighbour approaches [41,42,45], which by definition can be applied to any type of network, either based on mobility or on any other subject such as transportation infrastructures.…”
Section: Discussionmentioning
confidence: 99%
“…The importance of considering the interaction of different classes due to urban mobility has recently received some attention [40,41,44,46,54,55,[60][61][62]. The methodology presented here brings together the long-lasting dichotomy between segregation and exposure [41,42,44,45] allowing for the quantification of both and, more interestingly, showing that segregation and exposure can appear at the same time in certain contexts. The method based on the passage times of random walkers that we have presented here can be considered a generalization of multi-scale and k-nearest neighbour approaches [41,42,45], which by definition can be applied to any type of network, either based on mobility or on any other subject such as transportation infrastructures.…”
Section: Discussionmentioning
confidence: 99%
“…One of the most interesting aspects of the measures of heterogeneity, polarisation, and segregation that we have introduced in this work is that they take into account microscopic, meso-scopic and global relations among classes, due to the fact that in principle random walks integrate information about paths of all possible lengths. Another relevant property of the measures of segregation based on CMFPT is that they are non-parametric and correctly normalised with respect to a meaningful null-model, hence allowing us to compare on equal grounds the heterogeneity of class distributions in systems of different sizes, which is where most of the classical indices of segregation fail [32,46]. Even more importantly, the profiles of inter-class mean-first passage times are not symmetric with respect to classes, and provide fine-grained information about which classes are most responsible for the emergence of polarisation and heterogeneity.…”
Section: Discussionmentioning
confidence: 99%
“…Overall, our methodology based on the diffusion of random walks is not only a natural extension of the latter multiscalar approaches introduced to characterise residential segregation [46], but it also allows us to define a dynamical segregation that includes mobility into the analysis as it has been recently discussed for instance in Refs. [43,47].…”
Section: Residential and Dynamical Urban Economic Segregationmentioning
confidence: 99%
“…Metrics of segregation can be zonebased or surface-based (O'Sullivan and Wong, 2007;Hong et al, 2014), the zone-based metrics are subject to the Modifiable Areal Unit Problem (MAUP) (Openshaw, 1984). Finally, metrics can be measured on a single scale or a multiple scales (Reardon et al, 2008;Lee et al, 2008;Östh et al, 2014;Hennerdal and Nielsen, 2017;Clark et al, 2015;Fowler, 2016;Olteanu et al, 2019). Software packages (Hong et al, 2014;Apparicio et al, 2014) have been developed to help researchers keep track of segregation metrics.…”
Section: Introductionmentioning
confidence: 99%