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|
|Publication status:||Published in HKS Faculty Research Working Paper Series|
|Contact details of provider:|| Postal: 79 JFK Street, Cambridge, MA 02138|
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.:
- Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004.
"Polarization: Concepts, Measurement, Estimation,"
Econometric Society, vol. 72(6), pages 1737-1772, November.
- Jean-Yves Duclos & Debraj Ray & Joan Esteban, 2002. "Polarization: Concepts, Measurement, Estimation," LIS Working papers 335, LIS Cross-National Data Center in Luxembourg.
- Duclos, Jean-Yves & Esteban, Joan & Ray, Debraj, 2003. "Polarization: Concepts, Measurement, Estimation," Cahiers de recherche 0301, CIRPEE.
- Jean-Yves Duclos & Joan-Maria Esteban & Debraj Ray, 2003. "Polarization: Concepts, Measurement, Estimation," Working Papers 46, Barcelona Graduate School of Economics.
- Glaeser, Edward L. & Kahn, Matthew E., 2004. "Sprawl and urban growth," Handbook of Regional and Urban Economics,in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 56, pages 2481-2527 Elsevier.
- 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.
- C. A. Hidalgo & B. Klinger & A. -L. Barabasi & R. Hausmann, 2007. "The Product Space Conditions the Development of Nations," Papers 0708.2090, arXiv.org.
- Filipe R. Campante & Davin Chor & Quoc-Anh Do, 2009. "Instability And The Incentives For Corruption," Economics and Politics, Wiley Blackwell, vol. 21(1), pages 42-92, 03.
- Filipe Campante & Davin Chor & Quoc-Anh Do, "undated". "Instability and the Incentives for Corruption," Working Paper 248201, Harvard University OpenScholar.
- Campante, Filipe Robin & Chor, Davin & Do, Quoc-Anh, 2009. "Instability and the Incentives for Corruption," Scholarly Articles 4778510, Harvard Kennedy School of Government.
- Filipe R. Campante & Davin Chor & Quoc-Anh Do, 2009. "Instability and the Incentives for Corruption," Sciences Po publications info:hdl:2441/o45fqtltm96, Sciences Po.
- Davin Chor & Filipe Campante & Quoc-Anh Do, 2005. "Instability and the Incentives for Corruption," CID Working Papers 6, Center for International Development at Harvard University.
- Alberto F. Ades & Edward L. Glaeser, 1995. "Trade and Circuses: Explaining Urban Giants," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 195-227.
- Campante, Filipe & Do, Quoc-Anh, 2007. "Inequality, Redistribution, and Population," Working Paper Series rwp07-046, Harvard University, John F. Kennedy School of Government. Full references (including those not matched with items on IDEAS)