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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.

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  • 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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    2. Mauro Ferrante & Giovanni Luca Lo Magno & Stefano De Cantis & Geoffrey J.D. Hewings, 2020. "Measuring spatial concentration: A transportation problem approach," Papers in Regional Science, Wiley Blackwell, vol. 99(3), pages 663-682, June.
    3. Roberta Varriale & Nevio Albo & Cecilia Casagrande & Valeria Olivieri, 2024. "The statistical register for public administrations, some methodological aspect," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 78(1), pages 155-168, January-M.
    4. 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.
    5. 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.
    6. Elena Bárcena-Martín & Francisca García-Pardo & Ana Muñoz-Fernández & Salvador Pérez-Moreno, 2024. "Assessing Territorial Units’ Contribution to Convergence Beyond Aggregate Measures: The Role of Neighbourhood," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 175(2), pages 715-739, November.
    7. Domenica Panzera & Paolo Postiglione, 2020. "Measuring the Spatial Dimension of Regional Inequality: An Approach Based on the Gini Correlation Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 148(2), pages 379-394, April.
    8. Miguel A. Márquez & Elena Lasarte & Marcelo Lufin, 2019. "The Role of Neighborhood in the Analysis of Spatial Economic Inequality," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(1), pages 245-273, January.
    9. Giuseppe Arbia, 2011. "A Lustrum of SEA: Recent Research Trends Following the Creation of the Spatial Econometrics Association (2007--2011)," Spatial Economic Analysis, Taylor & Francis Journals, vol. 6(4), pages 377-395, July.
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    11. Shuju Hu & Wei Song & Chenggu Li & Charlie H. Zhang, 2019. "The Evolution of Industrial Agglomerations and Specialization in the Yangtze River Delta from 1990–2018: An Analysis Based on Firm-Level Big Data," Sustainability, MDPI, vol. 11(20), pages 1-21, October.
    12. Alfredo Cartone & Domenica Panzera & Paolo Postiglione, 2022. "Regional economic disparities, spatial dependence and proximity structures," Regional Science Policy & Practice, Wiley Blackwell, vol. 14(5), pages 1034-1050, October.
    13. Federico Attili, 2020. "Within-between decomposition of the Gini index: a novel proposal," Working Papers wp1153, Dipartimento Scienze Economiche, Universita' di Bologna.

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