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Effects of missing data and locational errors on spatial concentration measures based on Ripley’s K-function

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Listed:
  • Giuseppe Arbia
  • Giuseppe Espa
  • Diego Giuliani
  • Maria Michela Dickson

Abstract

Effects of missing data and locational errors on spatial concentration measures based on Ripley’s K-function. Spatial Economic Analysis. Measures based on Ripley’s K-function are the preferred tools to test the concentration of individual agents in an economic space. In many empirical cases, however, the datasets contain different inaccuracies due to missing data or uncertainty about the location of the agents. Little is known thus far about the effects of these inaccuracies on the K-function. This paper sheds light on the problem through a theoretical analysis supported by Monte Carlo experiments. The results show that patterns of clustering or inhibition may be observed not as genuine phenomena but only as the effect of data imperfections.

Suggested Citation

  • Giuseppe Arbia & Giuseppe Espa & Diego Giuliani & Maria Michela Dickson, 2017. "Effects of missing data and locational errors on spatial concentration measures based on Ripley’s K-function," Spatial Economic Analysis, Taylor & Francis Journals, vol. 12(2-3), pages 326-346, July.
    • Handle: RePEc:taf:specan:v:12:y:2017:i:2-3:p:326-346
    DOI: 10.1080/17421772.2017.1297479
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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Julian Besag & Peter J. Diggle, 1977. "Simple Monte Carlo Tests for Spatial Pattern," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(3), pages 327-333, November.
    3. Edward L. Glaeser & William R. Kerr, 2009. "Local Industrial Conditions and Entrepreneurship: How Much of the Spatial Distribution Can We Explain?," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 18(3), pages 623-663, September.
    4. Mansfield, Edwin, 1995. "Academic Research Underlying Industrial Innovations:," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 55-65, February.
    5. Stuart S. Rosenthal & William C. Strange, 2003. "Geography, Industrial Organization, and Agglomeration," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 377-393, May.
    6. Giuseppe Arbia & Giuseppe Espa & Danny Quah, 2009. "A class of spatial econometric methods in the empirical analysis of clusters of firms in the space," Studies in Empirical Economics, in: Giuseppe Arbia & Badi H. Baltagi (ed.), Spatial Econometrics, pages 81-103, Springer.
    7. Gilles Duranton & Henry G. Overman, 2005. "Testing for Localization Using Micro-Geographic Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(4), pages 1077-1106.
    8. Giuseppe Arbia & Giuseppe Espa & Diego Giuliani, 2016. "Dirty spatial econometrics," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 56(1), pages 177-189, January.
    9. Henderson, J. Vernon, 2003. "Marshall's scale economies," Journal of Urban Economics, Elsevier, vol. 53(1), pages 1-28, January.
    10. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    11. Alan B. Krueger, 2003. "Economic Considerations and Class Size," Economic Journal, Royal Economic Society, vol. 113(485), pages 34-63, February.
    12. Giuseppe Arbia & Giuseppe Espa & Diego Giuliani, 2015. "Measurement Errors Arising When Using Distances in Microeconometric Modelling and the Individuals’ Position Is Geo-Masked for Confidentiality," Econometrics, MDPI, vol. 3(4), pages 1-10, October.
    13. Eric Marcon & Florence Puech, 2009. "Measures of the Geographic Concentration of Industries: Improving Distance-Based Methods," Working Papers halshs-00372617, HAL.
    14. Marcon, Eric & Traissac, Stéphane & Puech, Florence & Lang, Gabriel, 2015. "Tools to Characterize Point Patterns: dbmss for R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 67(c03).
    15. Arbia, Giuseppe & Piras, Gianfranco, 2009. "A new class of spatial concentration measures," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4471-4481, October.
    16. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
    17. Maurel, Francoise & Sedillot, Beatrice, 1999. "A measure of the geographic concentration in french manufacturing industries," Regional Science and Urban Economics, Elsevier, vol. 29(5), pages 575-604, September.
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