English, Article, Journal or magazine article edition: A Centered Index of Spatial Concentration: Axiomatic Approach with an Application to Population and Capital Cities Filipe R. Campante; Quoc-Anh Do

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Bookmark: http://trove.nla.gov.au/version/6184
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • A Centered Index of Spatial Concentration: Axiomatic Approach with an Application to Population and Capital Cities
Author
  • Filipe R. Campante
  • Quoc-Anh Do
Physical Description
  • preprint
Notes
  • We construct an axiomatic index of spatial concentration around a center or capital point of interest, a concept with wide applicability from urban economics, economic geography and trade, to political economy and industrial organization. We propose basic axioms (decomposability and monotonicity) and refinement axioms (order preservation, convexity, and local monotonicity) for how the index should respond to changes in the underlying distribution. We obtain a unique class of functions satisfying all these properties, defined over any n-dimensional Euclidian space: the sum of a decreasing, isoelastic function of individual distances to the capital point of interest, with specific boundaries for the elasticity coefficient that depend on n. We apply our index to measure the concentration of population around capital cities across countries and US states, and also in US metropolitan areas. We show its advantages over alternative measures, and explore its correlations with many economic and political variables of interest.
  • Spatial Concentration, Population Concentration, Capital Cities, Gravity, CRRA, Harmonic Functions, Axiomatics.
  • RePEc:siu:wpaper:02-2009
Language
  • English
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