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A new class of spatial concentration measures

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  • Arbia, Giuseppe
  • Piras, Gianfranco

Abstract

In this paper we propose a new class of spatial concentration measures to verify hypotheses on the spatial concentration of empirical phenomena. Our proposed measures incorporate the ideas of both a-spatial concentration and spatial autocorrelation. We discuss many issues related to the approximate sampling theory and we suggest a Monte Carlo test for the presence of significant spatial concentration. A simulation experiment studying the relationship of the new measure to different spatial patterns and to different levels of a-spatial variability is also reported. A discussion related to irregular space is included.

Suggested Citation

  • Arbia, Giuseppe & Piras, Gianfranco, 2009. "A new class of spatial concentration measures," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4471-4481, October.
  • Handle: RePEc:eee:csdana:v:53:y:2009:i:12:p:4471-4481
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    References listed on IDEAS

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    1. Freeman, Scott & Grogger, Jeffrey & Sonstelie, Jon, 1996. "The Spatial Concentration of Crime," Journal of Urban Economics, Elsevier, vol. 40(2), pages 216-231, September.
    2. Campante, Filipe Robin & Do, Quoc-Anh, 2009. "A Centered Index of Spatial Concentration: Axiomatic Approach with an Application to Population and Capital Cities," Scholarly Articles 4481653, Harvard Kennedy School of Government.
    3. Gilles Duranton & Henry G. Overman, 2005. "Testing for Localization Using Micro-Geographic Data," Review of Economic Studies, Oxford University Press, vol. 72(4), pages 1077-1106.
    4. Bivand, Roger & Müller, Werner G. & Reder, Markus, 2009. "Power calculations for global and local Moran's," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 2859-2872, June.
    5. Klaus Desmet & Marcel Fafchamps, 2005. "Changes in the spatial concentration of employment across US counties: a sectoral analysis 1972--2000," Journal of Economic Geography, Oxford University Press, vol. 5(3), pages 261-284, June.
    6. Ellison, Glenn & Glaeser, Edward L, 1997. "Geographic Concentration in U.S. Manufacturing Industries: A Dartboard Approach," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 889-927, October.
    7. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    8. Desmet, Klaus & Fafchamps, Marcel, 2006. "Employment concentration across U.S. counties," Regional Science and Urban Economics, Elsevier, vol. 36(4), pages 482-509, July.
    9. Arbia, Giuseppe & Lafratta, Giovanni & Simeoni, Carla, 2007. "Spatial sampling plans to monitor the 3-D spatial distribution of extremes in soil pollution surveys," Computational Statistics & Data Analysis, Elsevier, vol. 51(8), pages 4069-4082, May.
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    1. repec:elg:eechap:14395_6 is not listed on IDEAS
    2. Sergio Rey & Richard Smith, 2013. "A spatial decomposition of the Gini coefficient," Letters in Spatial and Resource Sciences, Springer, vol. 6(2), pages 55-70, July.

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