A Centered Index of Spatial Concentration: Axiomatic Approach with an Application to Population and Capital Cities
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.
|Date of creation:||2009|
|Date of revision:|
|Publication status:||Published in HKS Faculty Research Working Paper Series|
|Contact details of provider:|| Postal: |
Web page: http://www.hks.harvard.edu/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Campante, Filipe Robin & Chor, Davin & Do, Quoc-Anh, 2009.
"Instability and the Incentives for Corruption,"
4778510, Harvard Kennedy School of Government.
- C. A. Hidalgo & B. Klinger & A. -L. Barabasi & R. Hausmann, 2007. "The Product Space Conditions the Development of Nations," Papers 0708.2090, arXiv.org.
- Duclos, Jean-Yves & Esteban, Joan & Ray, Debraj, 2003.
"Polarization: Concepts, Measurement, Estimation,"
Cahiers de recherche
- Edward L. Glaeser & Matthew E. Kahn, 2003.
"Sprawl and Urban Growth,"
NBER Working Papers
9733, National Bureau of Economic Research, Inc.
- Edward L. Glaeser & Matthew E. Kahn, 2003. "Sprawl and Urban Growth," Harvard Institute of Economic Research Working Papers 2004, Harvard - Institute of Economic Research.
- Campante, Filipe & Do, Quoc-Anh, 2007. "Inequality, Redistribution, and Population," Working Paper Series rwp07-046, Harvard University, John F. Kennedy School of Government.
When requesting a correction, please mention this item's handle: RePEc:hrv:hksfac:4481653. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ben Steinberg)
If references are entirely missing, you can add them using this form.