[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v41y2009i2p461-480.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a39369
    Download Restriction: no

    File URL: https://libkey.io/10.1068/a39369?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jacob J. de Vries & Peter Nijkamp & Piet Rietveld, 2000. "Alonso's General Theory of Movement: Advances in Spatial Interaction Modeling," Tinbergen Institute Discussion Papers 00-062/3, Tinbergen Institute.
    2. Chang-I Hua, 2001. "Alonso’s Systemic Model: A Review and Representation," International Regional Science Review, , vol. 24(3), pages 360-385, July.
    3. J.A. Bikker, 2009. "An extended gravity model with substitution applied to international trade," Working Papers 09-17, Utrecht School of Economics.
    4. Merkies, A.H.Q.M. & Meer, T. van der, 1988. "Theoretical foundations for the 3-c model," Serie Research Memoranda 0002, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    5. Vos, A.F. & Vries, J.J., 1990. "The likelihood function of a generalized gravity model : handling the implicit singularity of a nonlinear transformation," Serie Research Memoranda 0023, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    6. Narayanan, Badri G. & Hertel, Thomas W. & Horridge, J. Mark, 2010. "Disaggregated data and trade policy analysis: The value of linking partial and general equilibrium models," Economic Modelling, Elsevier, vol. 27(3), pages 755-766, May.
    7. T E Smith, 1976. "A Spatial-Discounting Theory of Interaction Preferences," Environment and Planning A, , vol. 8(8), pages 879-915, December.
    8. Gunnar Lindberg, 2011. "On the appropriate use of (input-output) coefficients to generate non-survey regional input-output tables: Implications for the determination of output multipliers," ERSA conference papers ersa10p800, European Regional Science Association.
    9. C S Tapiero, 1980. "A Probability Model for the Effects of Distance on the Demand for Multiple Facilities," Environment and Planning A, , vol. 12(4), pages 399-408, April.
    10. Andres Faiña & Jesus Lopez-Rodríguez, 2003. "Population Potentials and Development Levels: Empirical Findings in the European Union," ERSA conference papers ersa03p30, European Regional Science Association.
    11. I-Hui Cheng & Howard J. Wall, 2005. "Controlling for heterogeneity in gravity models of trade and integration," Review, Federal Reserve Bank of St. Louis, vol. 87(Jan), pages 49-63.
    12. Enrique Martínez-Galán & Maria-Paula Fontoura & Isabel Proença, 2005. "Trade Potential In An Enlarged European Union: A Recent Approach," International Trade 0508011, University Library of Munich, Germany.
    13. Peter Egger, 2000. "Teilprojekt 4: Bilaterale Wirtschaftsbeziehungen zwischen der EU und ausgewählten mittel- und osteuropäischen Ländern (MOEL): Entwicklungen der letzten Jahre und Versuch einer Prognose," WIFO Studies, WIFO, number 19262.
    14. Josheski, Dushko & Fotov, Risto, 2013. "Gravity Modeling: International Trade and Innovations," EconStor Preprints 71060, ZBW - Leibniz Information Centre for Economics.
    15. Weinhold, Ines & Wende, Danny & Schrey, Christopher & Militzer-Horstmann, Carsta & Schang, Laura & Sundmacher, Leonie, 2022. "Assessing patients’ acceptable and realised distances to determine accessibility standards for the size of catchment areas in outpatient care," Health Policy, Elsevier, vol. 126(11), pages 1180-1186.
    16. Fock, Achim & Ledebur, Oliver von, 1998. "Struktur Und Potentiale Des Agraraussenhandels Mittel- Und Osteuropas," IAMO Discussion Papers 14914, Institute of Agricultural Development in Transition Economies (IAMO).
    17. Rongxing Guo, 2007. "Linguistic and Religious Influences on Foreign Trade: Evidence from East Asia," Asian Economic Journal, East Asian Economic Association, vol. 21(1), pages 101-121, March.
    18. Batabyal, Amitrajeet A. & Beladi, Hamid, 2015. "Optimal transport provision to a tourist destination: A contract theory perspective," Economic Modelling, Elsevier, vol. 47(C), pages 180-184.
    19. Laszlo Balazsi & Felix Chan & Laszlo Matyas, 2022. "Event count estimation," Econometric Reviews, Taylor & Francis Journals, vol. 41(2), pages 147-176, February.
    20. Makochekanwa, Albert, 2012. "Impacts of Regional Trade Agreements on Trade in Agrifood Products: Evidence from Eastern and Southern Africa," Conference papers 332242, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:envira:v:41:y:2009:i:2:p:461-480. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.