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Mixed Logit Estimation of the Value of Travel Time

Author

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  • Algers, Staffan

    (Royal Institute of Technology)

  • Bergström, Pål

    (Trade och Capital Markets)

  • Dahlberg, Matz

    () (Department of Economics)

  • Lindqvist Dillén, Johanna

    () (Royal Institute of Technology, Stockholm)

Abstract

In this paper we use mixed logit specifications to allow parameters to vary in the population when estimating the value of time for long-distance car travel. Our main conclusion is that the estimated value of time is very sensitive to how the model is specified: we find that it is significantly lower when the coefficients are assumed to be normally distributed in the population, as compared to the traditional case when they are treated as fixed. In our most richly parameterised model, we find a median value of time of 57 SEK per hour, with the major part of the mass of the value of time distribution closely centred around the median value. The corresponding figure when the parameters are treated as fixed is 89 SEK per hour. Furthermore, our finding that the ratio of coefficients in a mixed logit specification differ significantly from the ones in a traditional logit specification is contrary to the results obtained by Brownstone & Train (1996) and Train (1997). Whether the ratios will differ or not depends on the model and the data generating process at hand.

Suggested Citation

  • Algers, Staffan & Bergström, Pål & Dahlberg, Matz & Lindqvist Dillén, Johanna, 1998. "Mixed Logit Estimation of the Value of Travel Time," Working Paper Series 1998:15, Uppsala University, Department of Economics.
  • Handle: RePEc:hhs:uunewp:1998_015
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    References listed on IDEAS

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    Cited by:

    1. Francisco Javier Amador & Rosa Marina González & Juan de Dios Ortúzar, 2004. "Preference heterogeneity and willingness to pay for travel time," Documentos de trabajo conjunto ULL-ULPGC 2004-12, Facultad de Ciencias Económicas de la ULPGC.
    2. Fredrik Carlsson, 2003. "The demand for intercity public transport: the case of business passengers," Applied Economics, Taylor & Francis Journals, vol. 35(1), pages 41-50.
    3. Fosgerau, Mogens & Bierlaire, Michel, 2007. "A practical test for the choice of mixing distribution in discrete choice models," Transportation Research Part B: Methodological, Elsevier, vol. 41(7), pages 784-794, August.
    4. Carlsson, Fredrik, 2002. "Airport Marginal Cost Pricing: Discussion and an Application to Swedish Airports," Working Papers in Economics 85, University of Gothenburg, Department of Economics.
    5. Cirillo, C. & Axhausen, K.W., 2006. "Evidence on the distribution of values of travel time savings from a six-week diary," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(5), pages 444-457, June.
    6. Hiselius, Lena Winslott, 2004. "Using Choice Experiments to Assess Peoples' Preferences for Railway Transports of Hazardous Materials," Working Papers 2004:6, Lund University, Department of Economics.
    7. Revelt, David & Train, Kenneth, 2000. "Customer-Specific Taste Parameters and Mixed Logit: Households' Choice of Electricity Supplier," Department of Economics, Working Paper Series qt1900p96t, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    8. A. de Palma & C. Fontan, 2001. "Choix modal et valeur du temps en Ile-de-France," THEMA Working Papers 2001-20, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    9. Ibeas, A. & dell’Olio, L. & Bordagaray, M. & Ortúzar, J. de D., 2014. "Modelling parking choices considering user heterogeneity," Transportation Research Part A: Policy and Practice, Elsevier, vol. 70(C), pages 41-49.
    10. Martin Achtnicht, 2012. "German car buyers’ willingness to pay to reduce CO 2 emissions," Climatic Change, Springer, vol. 113(3), pages 679-697, August.
    11. Francisco Javier Amador Morera & Rosa Marina González Marrero, 2005. "Value of Travel Time Savings for University Students and Preference Heterogeneity," Hacienda Pública Española, IEF, vol. 174(3), pages 25-41, September.
    12. Hess, Stephane & Bierlaire, Michel & Polak, John W., 2005. "Estimation of value of travel-time savings using mixed logit models," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(2-3), pages 221-236.
    13. Otsuka, Tokio & Mitomo, Hitoshi, 2013. "User benefits and operator costs of mobile number portability in Japan and impact on market competitiveness," Telecommunications Policy, Elsevier, vol. 37(4), pages 345-356.
    14. Stephane Hess & John W. Polak, 2004. "An analysis of parking behaviour using discrete choice models calibrated on SP datasets," ERSA conference papers ersa04p60, European Regional Science Association.
    15. Kjartan Sælensminde, 2001. "Inconsistent choices in Stated Choice data;Use of the logit scaling approach to handle resulting variance increases," Transportation, Springer, vol. 28(3), pages 269-296, August.
    16. Francisco Amador & Rosa González & Juan Ortúzar, 2005. "Preference Heterogeneity and Willingness to Pay for Travel Time Savings," Transportation, Springer, vol. 32(6), pages 627-647, November.
    17. Ozbay, Kaan & Yanmaz-Tuzel, Ozlem, 2008. "Valuation of travel time and departure time choice in the presence of time-of-day pricing," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(4), pages 577-590, May.
    18. Daziano, Ricardo A. & Achtnicht, Martin, 2014. "Accounting for uncertainty in willingness to pay for environmental benefits," Energy Economics, Elsevier, vol. 44(C), pages 166-177.
    19. Jan-Erik Swärdh & Staffan Algers, 2016. "Willingness to accept commuting time within the household: stated preference evidence," Transportation, Springer, vol. 43(2), pages 219-241, March.
    20. Holguín-Veras, José & Xu, Ning & Bhat, Chandra, 2012. "An assessment of the impacts of inspection times on the airline industry’s market share after September 11th," Journal of Air Transport Management, Elsevier, vol. 23(C), pages 17-24.
    21. Caussade, Sebastián & Ortúzar, Juan de Dios & Rizzi, Luis I. & Hensher, David A., 2005. "Assessing the influence of design dimensions on stated choice experiment estimates," Transportation Research Part B: Methodological, Elsevier, vol. 39(7), pages 621-640, August.

    More about this item

    Keywords

    Mixed Logit; Simulation Estimation; Value of Time;

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise

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