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Are Fixed-Form Regression Models Ever Credible? Some Evidence from Transportation Studies

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Taking Stock of Air Liberalization

Abstract

We need a convenient framework to discuss the importance of functional form considerations in regression models, particularly those used in transport demand analysis, and provide a background for the presentation of advances in this area and demonstrations of their relevance. Two-stage demand models provide it because their key distinct components, models of levels and probabilistic or share models, cover much of the practical regression field in Economics and Transportation.

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References

  • Armington, P., « A Theory of Demand for Products Distinguished by Place of Production », International Monetary Fund Staff Papers, 159–176, 1969.

    Google Scholar 

  • Blackburn, A.J., « Estimation of the Behavioral Model », in Studies in Travel Demand, Vol. V, Mathematica, March 1969.

    Google Scholar 

  • Blum, U.C. and M. Gaudry, “The Impact of Social Security Contributions on Savings: an Analysis of German Households by Category Using Flexible Econometric Forms”. Jahrbuch für Sozialwissenschaft 41, 2, 217–242, 1990.

    Google Scholar 

  • Borenstein, S, and N.L. Rose, «Competition and Price Dispersion in the U.S. Airline Industry », Journal of Political Economy 102. 4, 653–683, 1994.

    Article  Google Scholar 

  • Box, G.P. and D.R. Cox, « An Analysis of Transformations », Journal of the Royal Statistical Society, Series B, 26, 211–243, 1964.

    Google Scholar 

  • Cox, D.R., Analysis of Binary Data, Methuen’s Monographs on Applied Probability and Statistics, Methuen, London, 1970.

    Google Scholar 

  • Crow, R., Young, K.H. and T. Cooley, « Models of Intercity Travel Demand. Part I. Theoretical Aspects », Mathematica, Inc., Princeton, New Jersey, for the Northeast Corridor Transportation Project, Department of Transportation, Washington, D.C., NTIS PB 201 206, 86 p., June 1971.

    Google Scholar 

  • Dagenais, M. and M. Gaudry, “Can Aggregate Direct Travel Demand Models Work?”, Proceedings of the World Conference on Transport Research. The Center for Transportation Studies, University of British Columbia, Vancouver, 1669–1676, 1986.

    Google Scholar 

  • Davidson, R. and J.G. MacKinnon, «Transforming the Dependent Variable », Ch. 14 in Estimation and Inference in Econometrics, Oxford University Press, 1993.

    Google Scholar 

  • Domencich, T. and D. McFadden, Urban Travel Demand: A Behavioral Analysis, North Holland, Amsterdam, 1975.

    Google Scholar 

  • Ellis, R. H. and P.R. Rassam, «National Intercity Travel: Develoment and Implementation of a Demand Forecasting Framework », U.S. Dept. of Transportation Contract T-8 542, Modification No. 1, National Technical Information Service PB 192 455, U. S. Dept. of Commerce, March 1970.

    Google Scholar 

  • Fridström, L. and A. Madslien, « A Stated Preference Analysis of Wholesalers’ Freight Choice », Institute of Transport Economics, Oslo, 35 p., 1995.

    Google Scholar 

  • Gaudry, M. “The Inverse Power Transformation Logit and Dogit Mode Choice Models”, Publication CRT-96, Centre de recherche sur les transports, Université de Montréal, and Transportation Research B 15, 2, 97–103, 1981.

    Google Scholar 

  • Gaudry, M., “Modèles agrégés et désagrégés à forme variable: résultats sur Montréal et Paris”, Transports 304. 288–293, 1985.

    Google Scholar 

  • Gaudry, M., « FIQ: Fractional and integer Quadratic Forms Estimated in TRIO », Manuscript, Centre de recherche sur les transports, Université de Montréal, 8 p., November 1996.

    Google Scholar 

  • Gaudry, M. « Some Perspectives on the DRAG Approach and Family of National Road Safety Models», Publication CRT-98-07, Centre de recherche sur les transports, Université de Montréal. Also Working Paper No 9808, Bureau d’économie théorique et appliquée (BETA), Université Louis Pasteur, 1998. Forthcoming in the Proceedings of the Third Annual Conference on Transportation. Traffic Safety and Health. 1998b.

    Google Scholar 

  • Gaudry, M., Blum, U. and J. McCallum, “A First Gross Measure of Unexploited Single Market Integration Potential”. in S. Urban, ed., Europe’s Challenges, Gabler Verlag, 449–461, 1996.

    Google Scholar 

  • Gaudry, M., Jara-Diaz, S.R. and J. de D. Ortuzar, “Value of Time Sensitivity to Model Specification”. Transportation Research B 23, 2, 151–158, 1989.

    Article  Google Scholar 

  • Gaudry, M. and M.J. Wills, “Estimating the Functional Form of Travel Demand Models”, Publication CRT-63, Centre de recherche sur les transports, et Cahier 7702, Département de sciences économiques, Université de Montréal, juin 1977, and Transportation Research 12, 4, 257–289, 1978.

    Google Scholar 

  • Gillen, D., Harris, R. and T. Oum, « Evaluating Air Liberalization Agreements: An Integration of Demand Analysis and Trade Theory », Forthcoming in Gaudry, M. and R. Mayes, eds, Taking Stock of Air Liberalization. Kluwer Academic Press, 1998.

    Google Scholar 

  • Hensher, D.A. and Johnson, L.W., « Behavioural response and form of the representative component of the indirect utility function in travel mode choice », Regional Science and Urban Economics, 11, 559–572, 1981.

    Article  Google Scholar 

  • Kau, J.B. and C.F. Sirmans, « The Functional Form of the Gravity Model », International Regional Science Review. 4. 127–136, 1979.

    Article  Google Scholar 

  • Koppelman, F.S., «Nonlinear Utility Functions in Models of Travel Choice Behavior», the Transportation Center, Northwestern University, 37 p., May 1980.

    Google Scholar 

  • Kraft, G., « Demand for Intercity Passenger Travel in the Washington-Boston Corridor», Part V, Northeast Corridor Project, U.S. Department of Transportation, 1963.

    Google Scholar 

  • Laferrière, R., « Une Agrégation Nouvelle des Itinéraires de Transport Aérien (ANITA)», Publication CRT-574, Centre de recherche sur les transports, Université de Montréal, 106 p., Février 1988.

    Google Scholar 

  • Laferrière, R., «The Air Network itinerary and Trip Aggregation (ANITA) Model », Forthcoming in Gaudry, M. and R. Mayes, eds, Taking Stock of Air Liberalization, Kluwer Academic Press, 1998.

    Google Scholar 

  • Leonardi, G., «The Structure of Random Utility Models in the Light of the Asymptotic Theory of Extremes », WP-82-91, International Institute for Applied Systems Analysis, 45 p., September 1982.

    Google Scholar 

  • Mandel, B., Schnellverkehr und Modal Split, Nomos Verlag, Baden Baden, 1992.

    Google Scholar 

  • Mandel, B., « The Interdependency of Airport Choice and Travel Demand », Forthcoming in Gaudry, M. and R. Mayes, eds, Taking Stock of Air Liberalization, Kluwer Academic Press, 1998.

    Google Scholar 

  • Mandel, B., Gaudry, M. and W. Rothengatter, “A Disaggregate Box-Cox Logit Mode Choice of Intercity Passenger Travel in Germany and its Implications for High Speed Rail Demand Forecasts”. The Annals of Regional Science 31, 2, 99–120, 1997.

    Article  Google Scholar 

  • McLynn, J.M., Goldman, A.J., Meyers, P.R. and R.H. Watkins, « Analysis of a Market Split Model », Journal of Research of the National Bureau of Standards, 72-B, #1, 1968.

    Google Scholar 

  • McLynn, J.M., and T. Woronka, « A Family of Demand and Mode Split Models », Arthur Young and Co., April 1969.

    Google Scholar 

  • Moïsi, F., Raison, M. and L. Silman, « A Mode-Split Model with Multiple Transit Modes», Proceedings of the PTRC Summer Annual Meeting, 1981.

    Google Scholar 

  • Picard, G. and M. Gaudry, “Exploration of a Box-Cox Logit Model of Intercity Freight Mode Choice”, Transportation Research E, 34, 1, 1–12, 1998.

    Article  Google Scholar 

  • Pong, S. « L’application du modèle probabiliste et la transformation de Box-Cox au choix du mode de transport au Chili », Thèse de Maîtrise, Département de sciences économiques, Université de Montréal, 1991.

    Google Scholar 

  • R.A.T.P. et Cambridge Systematics, « Etudes de politiques de transport en région Ile-de-France. Mise au point et utilisation de modèles désagrégés de choix modal ». R.A.T.P., Direction des études générales, Service GL, 53ter Quai des Grands Augustins, Paris 6ème, juin 1982.

    Google Scholar 

  • Quandt, R.E. and Baumol, W.J., «The Demand for Abstract Transport Modes: Theory and Measurement », Journal of Regional Science. 6, 2, 13–26, 1966.

    Article  Google Scholar 

  • Rassam, P. R., Ellis, R.H. and J.C. Bennett, « The N-Dimensional Logit Model: Development and Application », Peat Marwick and Mitchell & Co, Washington, D.C., 42p., 1970. Also in Highway Research record, 369, 135-147, 1971.

    Google Scholar 

  • Theil, H., « The Theory of Rational Random Behaviour and its Application to Demand Analysis », European Economic Review, 6, 217–226, 1975.

    Article  Google Scholar 

  • Train, K.E. and D. McFadden, « The Goods/Leisure Trade-Off and Disaggregate Work Trip Mode Choice Models», Transportation Research 12, 5, 349–353, 1978.

    Article  Google Scholar 

  • Truong, T. P., « A Theoretical Analysis of Choice Demand and Time Allocation: with Reference to Travel », Ph. D. Thesis, School of Economics and Financial Studies, Macquarie University, 282 p., December 1981.

    Google Scholar 

  • Warner, S.L., Stochastic Choice of Mode in Urban Travel: A Study in Binary Choice, Northwestern University Press, Evanston, Ill., 1962.

    Google Scholar 

  • Williams, H.C.W.L., « On the Formation of Travel Demand Models and Economic Evaluation Measures of User Benefit ». Environment and Planning, 9a(3), 285–344, 1977.

    Article  Google Scholar 

  • Wilson, A., « A Statistical Theory of Spatial Distribution Models », Transportation Research, 1, 253–269, 1967.

    Article  Google Scholar 

  • Young, K. H., « An Abstract Mode Approach to the Demand for Travel », Transportation Research, 3, 443–461, 1969.

    Article  Google Scholar 

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Gaudry, M. (1999). Are Fixed-Form Regression Models Ever Credible? Some Evidence from Transportation Studies. In: Gaudry, M., Mayes, R. (eds) Taking Stock of Air Liberalization. Centre for Research on Transportation 25th Anniversary Series 1971–1996. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5077-8_12

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  • DOI: https://doi.org/10.1007/978-1-4615-5077-8_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7309-4

  • Online ISBN: 978-1-4615-5077-8

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