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Exponential or Power Distance-Decay for Commuting? An Alternative Specification

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  • Jacob J de Vries
  • Peter Nijkamp
  • Piet Rietveld

Abstract

In this paper we investigate the functional form of distance decay for commuting flows between municipalities in Denmark. Our inference is based on a single equation that includes variables to capture the effect of spatial structure. Special attention is given to a proper estimation method: we estimate the distance-decay parameters by nonlinear weighted least-squares with balancing factors. It appears that neither an exponential nor a power distance-decay function fits the data well. Using a spline regression we find a cost elasticity of – 4 for distances around 20 km and a much smaller value for shorter and longer distances. It appears that the logarithm of distance decay can be described adequately as a (downward) logistic function of log cost.

Suggested Citation

  • Jacob J de Vries & Peter Nijkamp & Piet Rietveld, 2009. "Exponential or Power Distance-Decay for Commuting? An Alternative Specification," Environment and Planning A, , vol. 41(2), pages 461-480, February.
  • Handle: RePEc:sae:envira:v:41:y:2009:i:2:p:461-480
    DOI: 10.1068/a39369
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    1. J A Bikker & A F de Vos, 1992. "A Regional Supply and Demand Model for Inpatient Hospital Care," Environment and Planning A, , vol. 24(8), pages 1097-1116, August.
    2. Choukroun, Jean-Marc, 1975. "A general framework for the development of gravity-type trip distribution models," Regional Science and Urban Economics, Elsevier, vol. 5(2), pages 177-202, May.
    3. Poot, Jacques, 1986. "A System Approach to Modelling the Inter-urban Exchange of Workers in New Zealand," Scottish Journal of Political Economy, Scottish Economic Society, vol. 33(3), pages 249-274, August.
    4. Madsen, Bjarne & Jensen-Butler, Chris, 2004. "Theoretical and operational issues in sub-regional economic modelling, illustrated through the development and application of the LINE model," Economic Modelling, Elsevier, vol. 21(3), pages 471-508, May.
    5. T J Fik & G F Mulligan, 1998. "Functional Form and Spatial Interaction Models," Environment and Planning A, , vol. 30(8), pages 1497-1507, August.
    6. Jacob A. Bikker, 1987. "An International Trade Flow Model with Substitution: An Extension of the Gravity Model," Kyklos, Wiley Blackwell, vol. 40(3), pages 315-337, August.
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    More about this item

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • J61 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Geographic Labor Mobility; Immigrant Workers
    • R15 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Econometric and Input-Output Models; Other Methods
    • R23 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Regional Migration; Regional Labor Markets; Population

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