Space-time patterns of rank concordance

Local indicators of mobility association with application to spatial income inequality dynamics

Sergio J. Rey

Research output: Contribution to journalArticle

13 Citations (Scopus)

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 rank changes. Rey (2004) introduced a spatial concordance statistic as an extension of Kendall’s rank correlation statistic, a commonly employed measure of exchange mobility. This article suggests local forms of the global spatial concordance statistic: local indicators of mobility association (LIMA). The LIMA statistics allow for the decomposition of the global measure into the contributions associated with individual locations. They do so by considering the degree of concordance (stability) or discordance (exchange mobility) reflected within an economy’s local spatial context. Different forms of the LIMAs derive from alternative expressions of the neighborhood and neighbor set. Additionally, the additive decomposition of the LIMAs permits the development of a mesolevel analytic to examine whether the overall space-time concordance is driven by either interregional or intraregional concordance. The measures are illustrated in a case study that examines regional income dynamics in Mexico.

Original languageEnglish (US)
Pages (from-to)788-803
Number of pages16
JournalAnnals of the American Association of Geographers
Volume106
Issue number4
DOIs
StatePublished - 2016

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statistics
income
decomposition
income distribution
difference in income
Mexico
time
indicator
economy

Keywords

  • Autocorrelation
  • Concordance
  • Inequality
  • Space-time

ASJC Scopus subject areas

  • Earth-Surface Processes
  • Geography, Planning and Development

Cite this

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