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

Author

Listed:
  • Campante, Filipe R.

    (Harvard University)

  • Do, Quoc-Anh

    (Singapore Management University)

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 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.

Suggested Citation

  • Campante, Filipe R. & Do, Quoc-Anh, 2009. "A Centered Index of Spatial Concentration: Axiomatic Approach with an Application to Population and Capital Cities," Working Paper Series rwp09-005, Harvard University, John F. Kennedy School of Government.
    • Handle: RePEc:ecl:harjfk:rwp09-005
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    Cited by:

    1. 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.
    2. Karina Simone Sass & Alexandre Alves Porsse, 2021. "Urban sprawl and the cost of providing local public services: Empirical evidence for Brazilian municipalities," Regional Science Policy & Practice, Wiley Blackwell, vol. 13(4), pages 1371-1387, August.
    3. 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.
    4. repec:spo:wpmain:info:hdl:2441/6ggbvnr6munghes9ocq36eaai is not listed on IDEAS
    5. Elisa Muzzini & Beatriz Eraso Puig & Sebastian Anapolsky & Tara Lonnberg & Viviana Mora, 2016. "Leveraging the Potential of Argentine Cities," World Bank Publications - Books, The World Bank Group, number 24185, April.
    6. Campante, Filipe R. & Do, Quoc-Anh & Guimaraes, Bernardo, 2012. "Isolated Capital Cities and Misgovernance: Theory and Evidence," Working Paper Series rwp12-058, Harvard University, John F. Kennedy School of Government.
    7. Filipe Campante & Edward L. Glaeser, 2018. "Yet another tale of two cities: Buenos Aires and Chicago," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 27(1), pages 1-33, December.
    8. Paul Maarek & Michael T. Dorsch, 2015. "Rent seeking, revolutionary threat and coups in non-democracies," Thema Working Papers 2015-13, THEMA (Théorie Economique, Modélisation et Applications), CY Cergy-Paris University, ESSEC and CNRS.
    9. Quoc-Anh Do & Bang Dang Nguyen & Yen-Teik Lee & Kieu-Trang Nguyen, 2011. "Out of Sight, Out of Mind:The Value of Political Connections in Social Networks," Working Papers 19-2011, Singapore Management University, School of Economics.
    10. Arbia, Giuseppe & Piras, Gianfranco, 2009. "A new class of spatial concentration measures," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4471-4481, October.
    11. 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.
    12. repec:spo:wpecon:info:hdl:2441/dambferfb7dfprc9lj6bo200k is not listed on IDEAS
    13. Dorsch, Michael T. & Maarek, Paul, 2018. "Rent extraction, revolutionary threat, and coups in non-democracies," Journal of Comparative Economics, Elsevier, vol. 46(4), pages 1082-1103.

    More about this item

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • F10 - International Economics - - Trade - - - General
    • R23 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Regional Migration; Regional Labor Markets; Population

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