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:||Jan 2009|
|Date of revision:|
|Publication status:||Published in SMU Economics and Statistics Working Paper Series|
|Contact details of provider:|| Postal: |
Phone: 65-6828 0832
Fax: 65-6828 0833
Web page: http://www.economics.smu.edu.sg/
More information through EDIRC
|Order Information:|| Email: |
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.:
- Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2003.
"Polarization: Concepts, Measurement, Estimation,"
46, Barcelona Graduate School of Economics.
- Edward L. Glaeser & Matthew E. Kahn, 2003.
"Sprawl and Urban Growth,"
Harvard Institute of Economic Research Working Papers
2004, Harvard - Institute of Economic Research.
- Filipe Campante & Davin Chor & Quoc-Anh Do, .
"Instability and the Incentives for Corruption,"
248201, Harvard University OpenScholar.
- Filipe R. Campante & Davin Chor & Quoc-Anh Do, 2009. "Instability and the Incentives for Corruption," Sciences Po publications info:hdl:2441/o45fqtltm96, Sciences Po.
- Campante, Filipe Robin & Chor, Davin & Do, Quoc-Anh, 2009. "Instability and the Incentives for Corruption," Scholarly Articles 4778510, Harvard Kennedy School of Government.
- Campante, Filipe & Do, Quoc-Anh, 2007. "Inequality, Redistribution, and Population," Working Paper Series rwp07-046, Harvard University, John F. 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.
When requesting a correction, please mention this item's handle: RePEc:siu:wpaper:02-2009. 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: (QL THor)
If references are entirely missing, you can add them using this form.