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Effects of Scale in Spatial Interaction Models

In: Spatial Econometric Interaction Modelling

Author

Listed:
  • Giuseppe Arbia

    (Catholic University of the Sacred Heart)

  • Francesca Petrarca

    (Roma Tre University)

Abstract

The MAUP (Modifiable Areal Unit Problem) is a particular form of the more general Modifiable Unit Problem (MUP) that has a long tradition in statistics, see Yule and Kendall (1950), whose spatial manifestation has been treated at length by Openshaw and Taylor (1979); Arbia (1989) among others. The MAUP presents two facets. The first is known as the “scale problem” and refers to the indeterminacy of any statistical measure with respect to changes in the level of data aggregation (e.g. from NUTS-3 to NUTS-2 in the EUROSTAT 2012). The second is referred to as the “aggregation (or zoning) problem” and concerns the indeterminacy of any statistical measure with respect to changes in the aggregation criterion at a given spatial scale (e.g. two alternative partitions of the same area at a given spatial scale). In this paper we explicitly aim to study the effects of scale on non linear spatial interaction models.

Suggested Citation

  • Giuseppe Arbia & Francesca Petrarca, 2016. "Effects of Scale in Spatial Interaction Models," Advances in Spatial Science, in: Roberto Patuelli & Giuseppe Arbia (ed.), Spatial Econometric Interaction Modelling, chapter 0, pages 85-101, Springer.
    • Handle: RePEc:spr:adspcp:978-3-319-30196-9_5
    DOI: 10.1007/978-3-319-30196-9_5
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    Cited by:

    1. Claudia V. Montanía, 2026. "Unraveling region effects with a new Spatial Multifactor Partitioning method," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 75(1), pages 1-18, March.
    2. Nan Dong & Xiaohuan Yang & Hongyan Cai & Liming Wang, 2015. "A Novel Method for Simulating Urban Population Potential Based on Urban Patches: A Case Study in Jiangsu Province, China," Sustainability, MDPI, vol. 7(4), pages 1-20, April.
    3. Zhijiao Qin & Yan Yu & Dianfeng Liu, 2019. "The Effect of HOPSCA on Residential Property Values: Exploratory Findings from Wuhan, China," Sustainability, MDPI, vol. 11(2), pages 1-18, January.
    4. Olga Demidova & Tatiana Bukina & Natalia Sverchkova, 2015. "Dependence of spatial effects on the level of regional aggregation, weights matrix, and estimation method," ERSA conference papers ersa15p322, European Regional Science Association.
    5. Juan C Duque & Henry Laniado & Adriano Polo, 2018. "S-maup: Statistical test to measure the sensitivity to the modifiable areal unit problem," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-25, November.

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    Keywords

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    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • R19 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Other

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