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Distance-based measures of spatial concentration: Introducing a relative density function

Author

Listed:
  • Gabriel Lang

    (MIA-Paris - Mathématiques et Informatique Appliquées - INRA - Institut National de la Recherche Agronomique - AgroParisTech)

  • Eric Marcon

    (UMR ECOFOG - Ecologie des forêts de Guyane - Cirad - Centre de Coopération Internationale en Recherche Agronomique pour le Développement - INRA - Institut National de la Recherche Agronomique - AgroParisTech - UG - Université de Guyane - CNRS - Centre National de la Recherche Scientifique - UA - Université des Antilles)

  • Florence Puech

    (RITM - Réseaux Innovation Territoires et Mondialisation - UP11 - Université Paris-Sud - Paris 11)

Abstract

For a decade, distance-based methods have been widely employed and constantly improved in the field of spatial economics. These methods are a very useful tool for accurately evaluating the spatial distribution of plants or retail stores, for example (Duranton and Overman, 2008). In this paper, we introduce a new distance-based statistical measure for evaluating the spatial concentration of economic activities. To our knowledge, the m function is the first relative density function to be proposed in the economics literature. This tool supplements the typology of distance-based methods recently drawn up by Marcon and Puech (2012). By considering several theoretical and empirical examples, we show the advantages and the limits of the m function for detecting spatial structures in economics.

Suggested Citation

  • Gabriel Lang & Eric Marcon & Florence Puech, 2020. "Distance-based measures of spatial concentration: Introducing a relative density function," Post-Print hal-01082178, HAL.
    • Handle: RePEc:hal:journl:hal-01082178
    DOI: 10.1007/s00168-019-00946-7
    Note: View the original document on HAL open archive server: https://hal.science/hal-01082178v4
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    References listed on IDEAS

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    7. 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.
    8. Giuseppe Arbia, 2001. "The role of spatial effects in the empirical analysis of regional concentration," Journal of Geographical Systems, Springer, vol. 3(3), pages 271-281, November.
    9. Glenn Ellison & Edward L. Glaeser & William R. Kerr, 2010. "What Causes Industry Agglomeration? Evidence from Coagglomeration Patterns," American Economic Review, American Economic Association, vol. 100(3), pages 1195-1213, June.
    10. Zhou, Tingyu & Clapp, John M., 2015. "The location of new anchor stores within metropolitan areas," Regional Science and Urban Economics, Elsevier, vol. 50(C), pages 87-107.
    11. Eric Marcon & Florence Puech, 2010. "Measures of the geographic concentration of industries: improving distance-based methods," Journal of Economic Geography, Oxford University Press, vol. 10(5), pages 745-762, September.
    12. Arbia, G. & Espa, G. & Giuliani, D. & Mazzitelli, A., 2012. "Clusters of firms in an inhomogeneous space: The high-tech industries in Milan," Economic Modelling, Elsevier, vol. 29(1), pages 3-11.
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    Cited by:

    1. Yukio Sadahiro, 2022. "A method for evaluating the degree of spatial and temporal avoidance in spatial point patterns," Journal of Geographical Systems, Springer, vol. 24(2), pages 241-260, April.
    2. A. Tidu & S. Usai & Frederick Guy, 2021. "Agglomeration in manufacturing and services: an experimental application of a distance-based measure to Sardinia," Working Paper CRENoS 202110, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
    3. Sugam Agarwal & Smruti Ranjan Behera, 2022. "Geographical concentration of knowledge and technology-intensive industries in India: empirical evidence from establishment-level analysis," Indian Economic Review, Springer, vol. 57(2), pages 513-552, December.
    4. S. Usai & Frederick Guy & A. Tidu, 2022. "Measuring spatial dispersion: an experimental test on the M-index," Working Paper CRENoS 202206, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
    5. Ludwig von Auer & Mark Trede, 2021. "Urbanization in Industrialized Countries: Appearances Are Deceptive," Research Papers in Economics 2021-04, University of Trier, Department of Economics.

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    Keywords

    Agglomeration; Aggregation; Spatial Concentration; Point Patterns; Economic Geography;
    All these keywords.

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