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Supervised regionalization methods, a survey

Author

Listed:
  • Juan Carlos Duque

    (Regional Analysis Laboratory (REGAL). San Diego State University.)

  • Raul Ramos

    (Faculty of Economics, University of Barcelona.)

  • Jordi Suriñach

    (Faculty of Economics, University of Barcelona.)

Abstract
This paper reviews almost four decades of contributions on the subject of supervised regionalization methods. These methods aggregate a set of areas into a predefined number of spatially contiguous regions while optimizing certain aggregation criteria. The authors present a taxonomic scheme that classifies a wide range of regionalization methods into eight groups, based on the strategy applied for satisfying the spatial contiguity constraint. The paper concludes by providing a qualitative comparison of these groups in terms of a set of certain characteristics, and by suggesting future lines of research for extending and improving these methods.

Suggested Citation

  • Juan Carlos Duque & Raul Ramos & Jordi Suriñach, 2006. "Supervised regionalization methods, a survey," IREA Working Papers 200608, University of Barcelona, Research Institute of Applied Economics, revised Dec 2006.
    • Handle: RePEc:ira:wpaper:200608
    as

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    File URL: http://www.ub.edu/irea/working_papers/2006/200608.pdf
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    References listed on IDEAS

    as
    1. Jean H.P. Paelinck, 2000. "On aggregation in spatial econometric modelling," Journal of Geographical Systems, Springer, vol. 2(2), pages 157-165, July.
    2. Gordon, A. D., 1996. "A survey of constrained classification," Computational Statistics & Data Analysis, Elsevier, vol. 21(1), pages 17-29, January.
    3. Steve Wise & Robert Haining & Jingsheng Ma, 1997. "Regionalisation Tools for the Exploratory Spatial Analysis of Health Data," Advances in Spatial Science, in: Manfred M. Fischer & Arthur Getis (ed.), Recent Developments in Spatial Analysis, chapter 5, pages 83-100, Springer.
    4. D J Rossiter & R J Johnston, 1981. "Program GROUP: The Identification of All Possible Solutions to a Constituency-Delimitation Problem," Environment and Planning A, , vol. 13(2), pages 231-238, February.
    5. Anuška Ferligoj & Vladimir Batagelj, 1982. "Clustering with relational constraint," Psychometrika, Springer;The Psychometric Society, vol. 47(4), pages 413-426, December.
    6. Fischer, Manfred M., 1980. "Regional taxonomy : A comparison of some hierarchic and non-hierarchic strategies," Regional Science and Urban Economics, Elsevier, vol. 10(4), pages 503-537, November.
    7. Sidney W. Hess & Stuart A. Samuels, 1971. "Experiences with a Sales Districting Model: Criteria and Implementation," Management Science, INFORMS, vol. 18(4-Part-II), pages 41-54, December.
    8. GARFINKEL, Robert S. & NEMHAUSER, Geroge L., 1970. "Optimal political districting by implicit enumeration techniques," LIDAM Reprints CORE 54, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    10. Andris A. Zoltners & Prabhakant Sinha, 1983. "Sales Territory Alignment: A Review and Model," Management Science, INFORMS, vol. 29(11), pages 1237-1256, November.
    11. George, John A. & Lamar, Bruce W. & Wallace, Chris A., 1997. "Political district determination using large-scale network optimization," Socio-Economic Planning Sciences, Elsevier, vol. 31(1), pages 11-28, March.
    12. W. Macmillan, 2001. "Redistricting in a GIS environment: An optimisation algorithm using switching-points," Journal of Geographical Systems, Springer, vol. 3(2), pages 167-180, August.
    13. R. S. Garfinkel & G. L. Nemhauser, 1970. "Optimal Political Districting by Implicit Enumeration Techniques," Management Science, INFORMS, vol. 16(8), pages 495-508, April.
    14. Juan Carlos Duque & Raúl Ramos, 2004. "Design of homogenous territorial units: a methodological proposal," ERSA conference papers ersa04p6, European Regional Science Association.
    15. Stephen Johnson, 1967. "Hierarchical clustering schemes," Psychometrika, Springer;The Psychometric Society, vol. 32(3), pages 241-254, September.
    16. Paelinck, J., 1978. "Spatial econometrics," Economics Letters, Elsevier, vol. 1(1), pages 59-63.
    17. Roberto Battiti & Giampietro Tecchiolli, 1994. "The Reactive Tabu Search," INFORMS Journal on Computing, INFORMS, vol. 6(2), pages 126-140, May.
    18. Anuj Mehrotra & Ellis L. Johnson & George L. Nemhauser, 1998. "An Optimization Based Heuristic for Political Districting," Management Science, INFORMS, vol. 44(8), pages 1100-1114, August.
    19. Rosing, K. E. & ReVelle, C. S., 1997. "Heuristic concentration: Two stage solution construction," European Journal of Operational Research, Elsevier, vol. 97(1), pages 75-86, February.
    20. S. W. Hess & J. B. Weaver & H. J. Siegfeldt & J. N. Whelan & P. A. Zitlau, 1965. "Nonpartisan Political Redistricting by Computer," Operations Research, INFORMS, vol. 13(6), pages 998-1006, December.
    21. Robert E. Bixby, 2002. "Solving Real-World Linear Programs: A Decade and More of Progress," Operations Research, INFORMS, vol. 50(1), pages 3-15, February.
    22. Manfred M. Fischer & Arthur Getis (ed.), 1997. "Recent Developments in Spatial Analysis," Advances in Spatial Science, Springer, number 978-3-662-03499-6.
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    More about this item

    Keywords

    regionalization; constrained clustering; analytical regions.;
    All these keywords.

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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