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Estimation of urban bus transit marginal cost without cost data

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  • Batarce, Marco

Abstract

We develop a method to study the industrial structure of urban bus transit without using cost data. To do so, we estimate the marginal cost function under the assumption that firms compete on frequency and adjust frequency to maximize profits. Our methodology is applied to Santiago, Chile. In this case, demand is modeled with a simplified model of transit network assignment. The goal is to consider how frequency, capacity, and on-board passengers affect the bus line’s demand. The marginal cost function is estimated by using the first-order conditions of the firm’s profit maximization problem, using the results of the demand model as data. We conclude that the urban bus transit industry in Santiago exhibits increasing returns to scale for low levels of demand and that these returns are exhausted rapidly at a moderate demand level. Additionally, firms exhibit economies of network expansion, on average.

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  • Batarce, Marco, 2016. "Estimation of urban bus transit marginal cost without cost data," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 241-262.
    • Handle: RePEc:eee:transb:v:90:y:2016:i:c:p:241-262
    DOI: 10.1016/j.trb.2016.05.004
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    1. André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), 2011. "A Handbook of Transport Economics," Books, Edward Elgar Publishing, number 12679.
    2. Spiess, Heinz & Florian, Michael, 1989. "Optimal strategies: A new assignment model for transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 23(2), pages 83-102, April.
    3. Belgacem Bouzaïene-Ayari & Michel Gendreau & Sang Nguyen, 2001. "Modeling Bus Stops in Transit Networks: A Survey and New Formulations," Transportation Science, INFORMS, vol. 35(3), pages 304-321, August.
    4. Philippe Gagnepain & Marc Ivaldi, 2002. "Incentive Regulatory Policies: The Case of Public Transit Systems in France," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 605-629, Winter.
    5. Philippe Gagnepain & Marc Ivaldi & Catherine Muller-Vibes, 2011. "The Industrial Organization of Competition in Local Bus Services," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 32, Edward Elgar Publishing.
    6. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    7. Evans, A., 1990. "Competition And The Structure Of Local Bus Market," Papers 90-17, Flinders of South Australia - Discipline of Economics.
    8. William Roy & Anne Yvrande-Billon, 2007. "Ownership, Contractual Practices and Technical Efficiency: The Case of Urban Public Transport in France," Journal of Transport Economics and Policy, University of Bath, vol. 41(2), pages 257-282, May.
    9. Leonardo J. Basso & Sergio R. Jara-Díaz, 2005. "Calculation of Economies of Spatial Scope from Transport Cost Functions with Aggregate Output with an Application to the Airline Industry," Journal of Transport Economics and Policy, University of Bath, vol. 39(1), pages 25-52, January.
    10. Leonardo J. Basso & Sergio R. Jara-Díaz & William G. Waters, 2011. "Cost Functions for Transport Firms," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 12, Edward Elgar Publishing.
    11. Viton, Philip A, 1981. "A Translog Cost Function for Urban Bus Transit," Journal of Industrial Economics, Wiley Blackwell, vol. 29(3), pages 287-304, March.
    12. André de Palma & Robin Lindsey & Emile Quinet & Robert Vickerman, 2011. "Handbook Of Transport Economics," PSE-Ecole d'économie de Paris (Postprint) halshs-00754912, HAL.
    13. Fernández L., J. Enrique & de Cea Ch., Joaqui­n & de Grange C., Louis, 2005. "Production costs, congestion, scope and scale economies in urban bus transportation corridors," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(5), pages 383-403, June.
    14. Joaquín de Cea & Enrique Fernández, 1993. "Transit Assignment for Congested Public Transport Systems: An Equilibrium Model," Transportation Science, INFORMS, vol. 27(2), pages 133-147, May.
    15. A. Ronald Gallant, 1984. "The Fourier Flexible Form," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 66(2), pages 204-208.
    16. Richard H. Spady & Ann F. Friedlaender, 1978. "Hedonic Cost Functions for the Regulated Trucking Industry," Bell Journal of Economics, The RAND Corporation, vol. 9(1), pages 159-179, Spring.
    17. John C. Panzar & Robert D. Willig, 1977. "Economies of Scale in Multi-Output Production," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(3), pages 481-493.
    18. Richard Schmalensee, 1977. "Comparative Static Properties of Regulated Airline Oligopolies," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 565-576, Autumn.
    19. Roberto Cominetti & José Correa, 2001. "Common-Lines and Passenger Assignment in Congested Transit Networks," Transportation Science, INFORMS, vol. 35(3), pages 250-267, August.
    20. Xiaohong Chen & Han Hong & Denis Nekipelov, 2011. "Nonlinear Models of Measurement Errors," Journal of Economic Literature, American Economic Association, vol. 49(4), pages 901-937, December.
    21. Douglas, George W & Miller, James C, III, 1974. "Quality Competition, Industry Equilibrium, and Efficiency in the Price-Constrained Airline Market," American Economic Review, American Economic Association, vol. 64(4), pages 657-669, September.
    22. Winston, Clifford, 1985. "Conceptual Development in the Economics of Transportation: An Interpretive Survey," Journal of Economic Literature, American Economic Association, vol. 23(1), pages 57-94, March.
    23. Karlaftis, Matthew G. & McCarthy, Patrick, 2002. "Cost structures of public transit systems: a panel data analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 38(1), pages 1-18, January.
    24. Gallant, A. Ronald, 1982. "Unbiased determination of production technologies," Journal of Econometrics, Elsevier, vol. 20(2), pages 285-323, November.
    25. Chen, Xiaohong, 2007. "Large Sample Sieve Estimation of Semi-Nonparametric Models," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 76, Elsevier.
    26. William Roy & Anne Yvrande-Billon, 2007. "Ownership, Contractual Practices and Technical Efficiency: The Case of Urban Public Transport in France," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00107375, HAL.
    27. Mehdi Farsi & Aurelio Fetz & Massimo Filippini, 2007. "Economies of Scale and Scope in Local Public Transportation," Journal of Transport Economics and Policy, University of Bath, vol. 41(3), pages 345-361, September.
    28. Williams, Martin, 1979. "Firm Size and Operating Costs in Urban Bus Transportation," Journal of Industrial Economics, Wiley Blackwell, vol. 28(2), pages 209-218, December.
    29. Carlo Cambini & Massimiliano Piacenza & Davide Vannoni, 2007. "Restructuring Public Transit Systems: Evidence on Cost Properties from Medium and Large-Sized Companies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 31(3), pages 183-203, November.
    30. Massimiliano Piacenza, 2006. "Regulatory Contracts and Cost Efficiency: Stochastic Frontier Evidence from the Italian Local Public Transport," Journal of Productivity Analysis, Springer, vol. 25(3), pages 257-277, June.
    31. Dalen, Dag Morten & Gomez-Lobo, Andres, 1997. "Estimating cost functions in regulated industries characterized by asymmetric information," European Economic Review, Elsevier, vol. 41(3-5), pages 935-942, April.
    32. Panzar, John C & Willig, Robert D, 1981. "Economies of Scope," American Economic Review, American Economic Association, vol. 71(2), pages 268-272, May.
    33. William Roy & Anne Yvrande-Billon, 2007. "Ownership, Contractual Practices and Technical Efficiency: The Case of Urban Public Transport in France," Post-Print halshs-00107375, HAL.
    34. Vander Weide, James H & Zalkind, Julie H, 1981. "Deregulation and Oligopolistic Price-Quality Rivalry," American Economic Review, American Economic Association, vol. 71(1), pages 144-154, March.
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