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A new class of spatial concentration measures

  • Arbia, Giuseppe
  • Piras, Gianfranco

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.

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File URL: http://www.sciencedirect.com/science/article/B6V8V-4WR19X8-1/2/859fa5821a42dbbe96905b62bf11968b
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Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

Volume (Year): 53 (2009)
Issue (Month): 12 (October)
Pages: 4471-4481

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Handle: RePEc:eee:csdana:v:53:y:2009:i:12:p:4471-4481
Contact details of provider: Web page: http://www.elsevier.com/locate/csda

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  1. Duranton, Gilles & Henry G Overman, 2003. "Testing for Localisation Using Micro-Geographic Data," Royal Economic Society Annual Conference 2003 69, Royal Economic Society.
  2. Filipe R. Campante & Quoc-Anh Do, 2009. "A Centered Index of Spatial Concentration: Axiomatic Approach with an Application to Population and Capital Cities," Working Papers 02-2009, Singapore Management University, School of Economics.
  3. 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.
  4. Marcel Fafchamps & Klaus Desmet, 2003. "Employment Concentration across US Counties," Economics Series Working Papers 180, University of Oxford, Department of Economics.
  5. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931, March.
  6. 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.
  7. 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.
  8. Ellison, G. & Glaeser, E.L., 1994. "Geographic Concentration in U.S. Manufacturing Industries: A Dartboard Approach," Working papers 94-27, Massachusetts Institute of Technology (MIT), Department of Economics.
  9. Freeman, Scott & Grogger, Jeffrey & Sonstelie, Jon, 1996. "The Spatial Concentration of Crime," Journal of Urban Economics, Elsevier, vol. 40(2), pages 216-231, September.
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