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Optimal Zoning Systems for Spatial Interaction Models

Author

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  • S Openshaw

    (Department of Town and Country Planning, Newcastle University, Newcastle upon Tyne, NE1 7RU, England)

Abstract

The design of zoning systems for spatial interaction models is a major problem which affects both the interpretation and acceptability of these models. This paper demonstrates that zoning-system effects on parameter values and model performance are nontrivial, and that their magnitude is far larger than was previously thought likely. An approach which is most appropriate in an applied context, where there is also the problem of poor model performance, is to identify a zoning system which will approximately optimise model performance. The paper gives details of how this may be achieved. This method is demonstrated by a series of empirical studies. Finally, there is a brief discussion of the general implications for spatial model building.

Suggested Citation

  • S Openshaw, 1977. "Optimal Zoning Systems for Spatial Interaction Models," Environment and Planning A, , vol. 9(2), pages 169-184, February.
    • Handle: RePEc:sae:envira:v:9:y:1977:i:2:p:169-184
    DOI: 10.1068/a090169
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    Citations

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    Cited by:

    1. Cabrera Delgado, Jorge & Bonnel, Patrick, 2016. "Level of aggregation of zoning and temporal transferability of the gravity distribution model: The case of Lyon," Journal of Transport Geography, Elsevier, vol. 51(C), pages 17-26.
    2. Yoshiki Yamagata & Daisuke Murakami & Kazuhiro Minami & Nana Arizumi & Sho Kuroda & Tomoya Tanjo & Hiroshi Maruyama, 2016. "Electricity Self-Sufficient Community Clustering for Energy Resilience," Energies, MDPI, vol. 9(7), pages 1-13, July.
    3. Jesus Mur & Marcos Herrera & Manuel Ruiz, 2011. "Selecting the W Matrix. Parametric vs Nonparametric Approaches," ERSA conference papers ersa11p1055, European Regional Science Association.
    4. Richard Connors & David Watling, 2015. "Assessing the Demand Vulnerability of Equilibrium Traffic Networks via Network Aggregation," Networks and Spatial Economics, Springer, vol. 15(2), pages 367-395, June.
    5. Ouassim Manout & Patrick Bonnel, 2019. "The impact of ignoring intrazonal trips in assignment models: a stochastic approach," Transportation, Springer, vol. 46(6), pages 2397-2417, December.
    6. Michal Bernard Pietrzak, 2014. "Redefining The Modifiable Areal Unit Problem Within Spatial Econometrics, The Case Of The Aggregation Problem," Equilibrium. Quarterly Journal of Economics and Economic Policy, Institute of Economic Research, vol. 9(3), pages 131-151, September.
    7. Michal Bernard Pietrzak, 2014. "Redefining The Modifiable Areal Unit Problem Within Spatial Econometrics, The Case Of The Scale Problem," Equilibrium. Quarterly Journal of Economics and Economic Policy, Institute of Economic Research, vol. 9(2), pages 111-132, June.
    8. Herrera Gómez, Marcos & Mur Lacambra, Jesús & Ruiz Marín, Manuel, 2011. "¿Cuál matriz de pesos espaciales?. Un enfoque sobre selección de modelos [Which spatial weighting matrix? An approach for model selection]," MPRA Paper 37585, University Library of Munich, Germany.
    9. Michal Bernard Pietrzak, 2014. "The Modifiable Areal Unit Problem – Analysis Of Correlation And Regression," Equilibrium. Quarterly Journal of Economics and Economic Policy, Institute of Economic Research, vol. 9(4), pages 113-131, December.
    10. Feng Guo & Lisa Aultman-Hall, 2014. "A zone design methodology for national freight origin-destination data and transportation modeling," Transportation Planning and Technology, Taylor & Francis Journals, vol. 37(8), pages 738-756, December.
    11. Alex Hagen-Zanker & Ying Jin, 2011. "Adaptive zoning and its effectiveness in spatial economic activity simulation," ERSA conference papers ersa10p1036, European Regional Science Association.
    12. Pani, Agnivesh & Sahu, Prasanta K. & Chandra, Aitichya & Sarkar, Ashoke K., 2019. "Assessing the extent of modifiable areal unit problem in modelling freight (trip) generation: Relationship between zone design and model estimation results," Journal of Transport Geography, Elsevier, vol. 80(C).
    13. repec:asg:wpaper:1028 is not listed on IDEAS
    14. Herrera Gómez, Marcos & Mur Lacambra, Jesús & Ruiz Marín, Manuel, 2012. "Selecting the Most Adequate Spatial Weighting Matrix:A Study on Criteria," MPRA Paper 73700, University Library of Munich, Germany.
    15. Xiao Li & Steven Farber, 2016. "Spatial representation in the social interaction potential metric: an analysis of scale and parameter sensitivity," Journal of Geographical Systems, Springer, vol. 18(4), pages 331-357, October.
    16. Frank Corvers & Maud Hensen & Dion Bongaerts, 2009. "Delimitation and Coherence of Functional and Administrative Regions," Regional Studies, Taylor & Francis Journals, vol. 43(1), pages 19-31.
    17. Luis Martínez & José Viegas & Elisabete Silva, 2009. "A traffic analysis zone definition: a new methodology and algorithm," Transportation, Springer, vol. 36(5), pages 581-599, September.
    18. Jesus Mur & Antonio Paez, 2011. "Local weighting or the necessity of flexibility," ERSA conference papers ersa11p942, European Regional Science Association.

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