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SPAG: Index of spatial agglomeration

Author

Listed:
  • Katarzyna Kopczewska
  • Paweł Churski
  • Artur Ochojski
  • Adam Polko

Abstract

The paper develops a spatial agglomeration index (SPAG) of the economic activity for the point geo‐localizations of firms. It includes the effects of location, the distance between firms and the overlapping impact of the firms' size. The SPAG builds a new class of measures of the spatial density of the economic activity inside the region, based on the geometrical representation of firms with circles, without referring to the commonly used Ripley's K function. The SPAG measures the degree of divergence from the benchmark distribution, what detects different spatial distributions as clusters or borderline dispersion. We test SPAG with real point data. El artículo desarrolla un índice de aglomeración espacial (SPAG, por sus siglas en inglés) de la actividad económica para las geolocalizaciones puntuales de empresas. Este incluye los efectos de la localización, la distancia entre empresas y la superposición del impacto del tamaño de las empresas. El SPAG desarrolla una nueva clase de medidas de la densidad espacial de la actividad económica dentro de la región, a partir de la representación geométrica de empresas mediante círculos, sin referirse a la función K de Ripley que se usa comúnmente. El SPAG mide el grado de divergencia con respecto a la distribución de referencia, lo que detecta diferentes distribuciones espaciales como clusters o dispersión de línea fronteriza. Se probó el SPAG con datos puntuales reales. 本稿では、企業のpoint geo‐localizationのための経済活動の空間的集積指標 (SPAG:spatial agglomeration index)を開発する。これには、立地、企業間の距離、企業の規模が惹起する作用の重複が含まれる。SPAGにより、よく用いられるRipleyのK関数法を参照することなく、円形を用いて企業を幾何学的に表す方法を基にした、地域内の経済活動の空間的密度の新しい計測法を作成する。SPAGは、ベンチマークの分布からの発散度を測定し、クラスタまたは境界線分散として異なる空間分布を検出する。実際の点データを用いてSPAGの検証を行う。

Suggested Citation

  • Katarzyna Kopczewska & Paweł Churski & Artur Ochojski & Adam Polko, 2019. "SPAG: Index of spatial agglomeration," Papers in Regional Science, Wiley Blackwell, vol. 98(6), pages 2391-2424, December.
  • Handle: RePEc:bla:presci:v:98:y:2019:i:6:p:2391-2424
    DOI: 10.1111/pirs.12470
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    Cited by:

    1. Bartelme, Dominick & Ziv, Oren, 2023. "JUE Insight: Firms and industry agglomeration," Journal of Urban Economics, Elsevier, vol. 133(C).
    2. Kossowski Tomasz & Hauke Jan, 2018. "SPAG: A New Measure of Spatial Agglomeration. Theoretical Background and Empirical Examples," Quaestiones Geographicae, Sciendo, vol. 37(4), pages 33-42, December.
    3. Domenica Panzera & Alfredo Cartone & Paolo Postiglione, 2022. "New evidence on measuring the geographical concentration of economic activities," Papers in Regional Science, Wiley Blackwell, vol. 101(1), pages 59-79, February.
    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.

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