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Exploratory Calibration of a Retail Location Model Using Search by Golden Section

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  • M Batty

    (Urban Systems Research Unit, Department of Geography, University of Reading, Reading, England)

Abstract

This paper presents some experiments in calibrating a retail location model designed for the Kristiansand region in southern Norway. The form and behaviour of the model under extremes of its parameter values is first investigated, and then some calibration methods proposed by Hyman are tested. The need for a more general method is evident and a search procedure based on the Fibonacci numbers is outlined. A generalisation of this method, based on the golden section number, is derived and this method is used to explore the sensitivity of the model's goodness-of-fit to changes in parameter values. A fundamental result of these explorations shows that there is no unique fit for retail models with two parameters, and this result is likely to hold for other models of spatial interaction.

Suggested Citation

  • M Batty, 1971. "Exploratory Calibration of a Retail Location Model Using Search by Golden Section," Environment and Planning A, , vol. 3(4), pages 411-432, December.
    • Handle: RePEc:sae:envira:v:3:y:1971:i:4:p:411-432
    DOI: 10.1068/a030411
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    References listed on IDEAS

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    1. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
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    Cited by:

    1. Tira, Maurizio & Tiboni, Michela & Badiani, Barbara, 2002. "High speed/high capacity railway and regional development - evaluation of effects on spatial accessibility," ERSA conference papers ersa02p362, European Regional Science Association.
    2. Shiwei Lu & Shih-Lung Shaw & Zhixiang Fang & Xirui Zhang & Ling Yin, 2017. "Exploring the Effects of Sampling Locations for Calibrating the Huff Model Using Mobile Phone Location Data," Sustainability, MDPI, vol. 9(1), pages 1-18, January.
    3. Johan Klaesson & Özge Öner, 2014. "Market Reach for Retail Services," The Review of Regional Studies, Southern Regional Science Association, vol. 44(2), pages 153-176, Summer.

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