2016
DOI: 10.1080/24694452.2016.1151336
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Space–Time Patterns of Rank Concordance: Local Indicators of Mobility Association with Application to Spatial Income Inequality Dynamics

Abstract: In the study of income inequality dynamics, the concept of exchange mobility plays a central role. Applications of classical rank correlation statistics have been used to assess the degree to which individual economies swap positions in the income distribution over time. These classic measures ignore the underlying geographical pattern of these rank changes. Rey (2004)

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Cited by 27 publications
(34 citation statements)
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“…The idea of a local test for spatial autocorrelation has been extended in multiple directions, such as applications to categorical data (Boots 2003(Boots , 2006, points on networks (Yamada and Thill 2007), the construction of optimal spatial weights (Getis and Aldstadt 2004;Aldstadt and Getis 2006), as well as space-time and income mobility (Rey 2016). Considerable attention has been paid to problems of statistical inference, both exact and asymptotic, as well as more fundamental issues of multiple comparisons and correlated tests.…”
Section: Introductionmentioning
confidence: 99%
“…The idea of a local test for spatial autocorrelation has been extended in multiple directions, such as applications to categorical data (Boots 2003(Boots , 2006, points on networks (Yamada and Thill 2007), the construction of optimal spatial weights (Getis and Aldstadt 2004;Aldstadt and Getis 2006), as well as space-time and income mobility (Rey 2016). Considerable attention has been paid to problems of statistical inference, both exact and asymptotic, as well as more fundamental issues of multiple comparisons and correlated tests.…”
Section: Introductionmentioning
confidence: 99%
“…When the nearby locations have similar values as the observed location, there is an indication of interaction and a positive spatial autocorrelation exists [35]. When interactions seem to be competitive and nearby locations have largely different values relative to the observed location, then negative spatial autocorrelation exists [36]. Finally, in cases where no association seems to exist between a location and nearby locations, the data exhibit zero spatial autocorrelation.…”
Section: Methodsmentioning
confidence: 92%
“…Local spatial autocorrelation tests are more informative compared to global tests as they can map clusters and analyze spatial patterns. In this respect, they reveal whether autocorrelation or local spatial heterogeneity exists as a result of different processes crossing space and time, which is why they have been used extensively in geographical applications [36,38].…”
Section: Methodsmentioning
confidence: 99%
“…The decomposition in Equation (3) allows to determine to what extent the classic general rank correlation coefficient measure is silent about the correlation patterns between neighboring and non-neighboring regions. This can be inferred based on random spatial permutations of the attributes to develop a distribution for τ W under the null hypothesis of spatial homogeneity (Rey, 2016). The mobility index (M )…”
Section: Distribution Dynamics and Spatial Pattern: A Global Assessmentmentioning
confidence: 99%