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A Centered Index of Spatial Concentration : Axiomatic Approach with an Application to Population and Capital Cities

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  • Filipe R. Campante

    (SMU)

  • Quoc-Anh Do

Abstract

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 renement 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 specifc boundaries for the elasticity coecient 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.

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Bibliographic Info

Paper provided by East Asian Bureau of Economic Research in its series Development Economics Working Papers with number 22059.

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Date of creation: Jan 2009
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Handle: RePEc:eab:develo:22059

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Related research

Keywords: Spatial Concentration; Population Concentration; Capital Cities; Gravity; CRRA; Harmonic Functions; Axiomatics;

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References

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  1. Edward L. Glaeser & Matthew E. Kahn, 2003. "Sprawl and Urban Growth," Harvard Institute of Economic Research Working Papers 2004, Harvard - Institute of Economic Research.
  2. C. A. Hidalgo & B. Klinger & A. -L. Barabasi & R. Hausmann, 2007. "The Product Space Conditions the Development of Nations," Papers 0708.2090, arXiv.org.
  3. 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.
  4. Campante, Filipe & Do, Quoc-Anh, 2007. "Inequality, Redistribution, and Population," Working Paper Series rwp07-046, Harvard University, John F. Kennedy School of Government.
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Cited by:
  1. Guimaraes, Bernardo & CAMPANTE, FILIPE R. & DO, Quoc-Anh, 2013. "Isolated capital cities and misgovernance: Theory and evidence," Textos para discussão 323, Escola de Economia de São Paulo, Getulio Vargas Foundation (Brazil).
  2. Campante, Filipe R. & Do, Quoc-Anh, 2012. "Isolated Capital Cities, Accountability and Corruption: Evidence from US States," Working Paper Series rwp12-016, Harvard University, John F. Kennedy School of Government.
  3. Quoc-Anh Do & Yen-Teik Lee & Bang Dang Nguyen & Kieu-Trang Nguyen, 2013. "Out of Sight, Out of Mind: The Value of Political Connections in Social Networks," Sciences Po publications 14, Sciences Po.
  4. Quoc-Anh Doy & Filipe R. Campante, 2009. "Keeping Dictators Honest : the Role of Population Concentration," Governance Working Papers 22076, East Asian Bureau of Economic Research.
  5. Sebastian Galiani & Sukkoo Kim, 2008. "Political Centralization and Urban Primacy: Evidence from National and Provincial Capitals in the Americas," NBER Chapters, in: Understanding Long-Run Economic Growth: Geography, Institutions, and the Knowledge Economy, pages 121-153 National Bureau of Economic Research, Inc.
  6. Quoc-Anh Do & Filipe R. Campante, 2009. "Keeping Dictators Honest: the Role of Population Concentration," Working Papers 01-2009, Singapore Management University, School of Economics.
  7. Filipe R Campante & Quoc-Anh Do, 2013. "Isolated Capital Cities, Accountability and Corruption Evidence from US States: Evidence from US States," Sciences Po Economics Discussion Papers 2013-01, Sciences Po Departement of Economics.
  8. Filipe Campante & Edward L. Glaeser, 2009. "Yet Another Tale of Two Cities: Buenos Aires and Chicago," NBER Working Papers 15104, National Bureau of Economic Research, Inc.

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