IDEAS home Printed from https://ideas.repec.org/a/eee/transa/v181y2024ics0965856424000296.html
   My bibliography  Save this article

Optimal toll rates accounting for traffic accidents: A productive efficiency approach

Author

Listed:
  • Zapico, Emma
  • Baños-Pino, José F.
  • Mayor, Matías

Abstract

This study analyzes the productive efficiency of the toll motorway sector in Spain over the 2003–2018 period by applying a stochastic frontier analysis with the particularity of including an undesirable output (traffic accidents with victims). Given the multioutput nature of the study and the presence of negative externalities, the method used is based on hyperbolic distance functions. The results obtained reveal that i) the average efficiency in the sector suggests that it is possible to increase the total number of vehicle-kilometers traveled by 29% and simultaneously reduce recorded accidents with victims by 23%, ii) there was technical progress of 16.5% during the study period, iii) reducing by one unit the number of accidents with victims would be equivalent to a monetary value of over 491 thousand euros in terms of the loss of toll revenue paid by light or heavy vehicles, and iv) the shadow price of accidents with victims allows us to determine that the optimal toll rate for heavy vehicles should be 1.62 times that of light vehicles.

Suggested Citation

  • Zapico, Emma & Baños-Pino, José F. & Mayor, Matías, 2024. "Optimal toll rates accounting for traffic accidents: A productive efficiency approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 181(C).
  • Handle: RePEc:eee:transa:v:181:y:2024:i:c:s0965856424000296
    DOI: 10.1016/j.tra.2024.103981
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0965856424000296
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tra.2024.103981?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Albalate, Daniel & Rosell, Jordi, 2019. "On the efficiency of toll motorway companies in Spain," Research in Transportation Economics, Elsevier, vol. 76(C).
    2. AndrÊ de Palma & Robin Lindsey, 2000. "Private toll roads: Competition under various ownership regimes," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 34(1), pages 13-35.
    3. Cuesta, Rafael A. & Lovell, C.A. Knox & Zofío, José L., 2009. "Environmental efficiency measurement with translog distance functions: A parametric approach," Ecological Economics, Elsevier, vol. 68(8-9), pages 2232-2242, June.
    4. Catherine J. Morrison Paul & Warren E. Johnston & Gerald A. G. Frengley, 2000. "Efficiency in New Zealand Sheep and Beef Farming: The Impacts of Regulatory Reform," The Review of Economics and Statistics, MIT Press, vol. 82(2), pages 325-337, May.
    5. Odeck, James, 2008. "How efficient and productive are road toll companies?: Evidence from Norway," Transport Policy, Elsevier, vol. 15(4), pages 232-241, July.
    6. Mamardashvili, Phatima & Emvalomatis, Grigorios & Jan, Pierrick, 2016. "Environmental Performance and Shadow Value of Polluting on Swiss Dairy Farms," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 41(2), May.
    7. Fare, Rolf & Grosskopf, Shawna & Weber, William L., 2006. "Shadow prices and pollution costs in U.S. agriculture," Ecological Economics, Elsevier, vol. 56(1), pages 89-103, January.
    8. Willam Greene, 2005. "Fixed and Random Effects in Stochastic Frontier Models," Journal of Productivity Analysis, Springer, vol. 23(1), pages 7-32, January.
    9. Ubbels, Barry & Verhoef, Erik T., 2008. "Auctioning concessions for private roads," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(1), pages 155-172, January.
    10. Elburz, Zeynep & Nijkamp, Peter & Pels, Eric, 2017. "Public infrastructure and regional growth: Lessons from meta-analysis," Journal of Transport Geography, Elsevier, vol. 58(C), pages 1-8.
    11. Odeck, James, 2019. "Estimating and predicting the operational costs of road tolls: An econometric assessment using panel data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 130(C), pages 466-478.
    12. Cullinane, Kevin & Song, Dong-Wook & Gray, Richard, 2002. "A stochastic frontier model of the efficiency of major container terminals in Asia: assessing the influence of administrative and ownership structures," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(8), pages 743-762, October.
    13. Carpintero, Samuel & Gomez-Ibañez, Jose A., 2011. "Mexico's private toll road program reconsidered," Transport Policy, Elsevier, vol. 18(6), pages 848-855, November.
    14. Garrido, Laura & Gomez, Juan & Baeza, María de los Ángeles & Vassallo, José Manuel, 2017. "Is EU financial support enhancing the economic performance of PPP projects? An empirical analysis on the case of spanish road infrastructure," Transport Policy, Elsevier, vol. 56(C), pages 19-28.
    15. Sarmento, Joaquim Miranda & Renneboog, Luc & Verga-Matos, Pedro, 2017. "Measuring highway efficiency : A DEA approach and the Malquist index," Other publications TiSEM 23264815-321e-45a3-83ee-9, Tilburg University, School of Economics and Management.
    16. Engel,Eduardo & Fischer,Ronald D. & Galetovic,Alexander, 2014. "The Economics of Public-Private Partnerships," Cambridge Books, Cambridge University Press, number 9781107035911, November.
    17. Lau, Lawrence J, 1972. "Profit Functions of Technologies with Multiple Inputs and Outputs," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 281-289, August.
    18. J. Colin Glass & Donal G. McKillop & Barry Quinn & John Wilson, 2014. "Cooperative bank efficiency in Japan: a parametric distance function analysis," The European Journal of Finance, Taylor & Francis Journals, vol. 20(3), pages 291-317, March.
    19. Rangel, Thais & Manuel Vassallo, José, 2015. "Modeling the effect of contractual incentives on road safety performance," Transport Policy, Elsevier, vol. 40(C), pages 17-23.
    20. Turró, Mateu & Penyalver, Domingo, 2019. "Hunting white elephants on the road. A practical procedure to detect harmful projects of transport infrastructure," Research in Transportation Economics, Elsevier, vol. 75(C), pages 3-20.
    21. Rafael Cuesta & José Zofío, 2005. "Hyperbolic Efficiency and Parametric Distance Functions: With Application to Spanish Savings Banks," Journal of Productivity Analysis, Springer, vol. 24(1), pages 31-48, September.
    22. Erik Amdal & Gunnar Bårdsen & Kåre Johansen & Morten Welde, 2007. "Operating costs in Norwegian toll companies: a panel data analysis," Transportation, Springer, vol. 34(6), pages 681-695, November.
    23. Daniel Albalate & Germà Bel, 2012. "Motorways, tolls and road safety: evidence from Europe," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(4), pages 457-473, December.
    24. Bae, Bumjoon & Seo, Changbeom, 2022. "Do public-private partnerships help improve road safety? Finding empirical evidence using panel data models," Transport Policy, Elsevier, vol. 126(C), pages 336-342.
    25. Coelli, Tim & Perelman, Sergio, 1999. "A comparison of parametric and non-parametric distance functions: With application to European railways," European Journal of Operational Research, Elsevier, vol. 117(2), pages 326-339, September.
    26. Robert Bain, 2009. "Error and optimism bias in toll road traffic forecasts," Transportation, Springer, vol. 36(5), pages 469-482, September.
    27. Welde, Morten, 2011. "Demand and operating cost forecasting accuracy for toll road projects," Transport Policy, Elsevier, vol. 18(5), pages 765-771, September.
    28. María de los Ángeles Baeza & José Manuel Vassallo, 2010. "Private concession contracts for toll roads in Spain: analysis and recommendations," Public Money & Management, Taylor & Francis Journals, vol. 30(5), pages 299-304, September.
    29. Bel, Germà & Bel-Piñana, Paula & Rosell, Jordi, 2017. "Myopic PPPs: Risk allocation and hidden liabilities for taxpayers and users," Utilities Policy, Elsevier, vol. 48(C), pages 147-156.
    30. Jean Joseph Minviel & Timo Sipiläinen, 2018. "Dynamic stochastic analysis of the farm subsidy-efficiency link: evidence from France," Journal of Productivity Analysis, Springer, vol. 50(1), pages 41-54, October.
    31. Pal, Debdatta & Mitra, Subrata K., 2016. "An application of the directional distance function with the number of accidents as an undesirable output to measure the technical efficiency of state road transport in India," Transportation Research Part A: Policy and Practice, Elsevier, vol. 93(C), pages 1-12.
    32. Massiani, Jerome & Ragazzi, Giorgio, 2008. "Costs and efficiency of highway concessionaires: a survey of Italian operators," European Transport \ Trasporti Europei, ISTIEE, Institute for the Study of Transport within the European Economic Integration, issue 38, pages 85-106.
    33. Welde, Morten & Odeck, James, 2011. "The efficiency of Norwegian road toll companies," Utilities Policy, Elsevier, vol. 19(3), pages 162-171.
    34. Baños-Pino, José F. & Boto-García, David & Zapico, Emma, 2022. "Persistence and dynamics in the efficiency of toll motorways: The Spanish case," Economics of Transportation, Elsevier, vol. 31(C).
    35. Pacheco, R. R. & Fernandes, E., 2003. "Managerial efficiency of Brazilian airports," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(8), pages 667-680, October.
    36. Luigi Benfratello & Alberto Iozzi & Paola Valbonesi, 2009. "Technology and incentive regulation in the Italian motorways industry," Journal of Regulatory Economics, Springer, vol. 35(2), pages 201-221, April.
    37. Chen, Anthony & Subprasom, Kitti, 2007. "Analysis of regulation and policy of private toll roads in a build-operate-transfer scheme under demand uncertainty," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(6), pages 537-558, July.
    38. Timothy J. Coelli & D.S. Prasada Rao & Christopher J. O’Donnell & George E. Battese, 2005. "An Introduction to Efficiency and Productivity Analysis," Springer Books, Springer, edition 0, number 978-0-387-25895-9, April.
    39. Fare, Rolf & Grosskopf, Shawna & Zaim, Osman, 2002. "Hyperbolic efficiency and return to the dollar," European Journal of Operational Research, Elsevier, vol. 136(3), pages 671-679, February.
    40. Engel Eduardo M & Fischer Ronald & Galetovic Alexander, 2004. "Toll Competition Among Congested Roads," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 4(1), pages 1-21, March.
    41. Kumbhakar,Subal C. & Wang,Hung-Jen & Horncastle,Alan P., 2015. "A Practitioner's Guide to Stochastic Frontier Analysis Using Stata," Cambridge Books, Cambridge University Press, number 9781107029514, November.
    42. Newbery, David M, 1988. "Road Damage Externalities and Road User Charges," Econometrica, Econometric Society, vol. 56(2), pages 295-316, March.
    43. Quiggin, John & Wang, Jiayu, 2019. "Unscrambling the toll road egg," Economic Analysis and Policy, Elsevier, vol. 61(C), pages 29-38.
    44. Odeck, James & Schøyen, Halvor, 2020. "Productivity and convergence in Norwegian container seaports: An SFA-based Malmquist productivity index approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 137(C), pages 222-239.
    45. Fare, Rolf, 1989. "Multilateral Productivity Comparisons When Some Outputs Are Undesirable: A Nonparametric Approach," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 90-98, February.
    46. Adewale Henry Adenuga & John Davis & George Hutchinson & Trevor Donnellan & Myles Patton, 2019. "Environmental Efficiency and Pollution Costs of Nitrogen Surplus in Dairy Farms: A Parametric Hyperbolic Technology Distance Function Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 74(3), pages 1273-1298, November.
    47. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
    48. Tovar, Beatriz & Martín-Cejas, Roberto Rendeiro, 2010. "Technical efficiency and productivity changes in Spanish airports: A parametric distance functions approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(2), pages 249-260, March.
    49. Odeck, James & Welde, Morten, 2017. "The accuracy of toll road traffic forecasts: An econometric evaluation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 101(C), pages 73-85.
    50. Odeck, James & Bråthen, Svein, 2012. "A meta-analysis of DEA and SFA studies of the technical efficiency of seaports: A comparison of fixed and random-effects regression models," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(10), pages 1574-1585.
    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. Baños-Pino, José F. & Boto-García, David & Zapico, Emma, 2022. "Persistence and dynamics in the efficiency of toll motorways: The Spanish case," Economics of Transportation, Elsevier, vol. 31(C).
    2. Baños-Pino, José F. & Boto-García, David & Zapico, Emma, 2021. "Persistence and dynamics in the efficiency of toll motorways: The Spanish case," Efficiency Series Papers 2021/03, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    3. Albalate, Daniel & Rosell, Jordi, 2019. "On the efficiency of toll motorway companies in Spain," Research in Transportation Economics, Elsevier, vol. 76(C).
    4. Adewale Henry Adenuga & John Davis & George Hutchinson & Trevor Donnellan & Myles Patton, 2019. "Environmental Efficiency and Pollution Costs of Nitrogen Surplus in Dairy Farms: A Parametric Hyperbolic Technology Distance Function Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 74(3), pages 1273-1298, November.
    5. Odeck, James, 2019. "Estimating and predicting the operational costs of road tolls: An econometric assessment using panel data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 130(C), pages 466-478.
    6. Daniel Albalate & Jordi Rosell, 2016. "Persistent and transient efficiency on the stochastic production and cost frontiers – an application to the motorway sector," Working Papers XREAP2016-04, Xarxa de Referència en Economia Aplicada (XREAP), revised Oct 2016.
    7. Vogel, Everton & Dalheimer, Bernhard & Beber, Caetano Luiz & de Mori, Claudia & Palhares, Julio Cesar Pascale & Novo, André Luiz Monteiro, 2023. "Environmental efficiency and methane abatement costs of dairy farms from Minas Gerais, Brazil," Food Policy, Elsevier, vol. 119(C).
    8. Dalheimer, Bernhard & Parikoglou, Iordanis & Brambach, Fabian & Yanita, Mirawati & Kreft, Holger & Brümmer, Bernhard, 2024. "On the palm oil-biodiversity trade-off: Environmental performance of smallholder producers," Journal of Environmental Economics and Management, Elsevier, vol. 125(C).
    9. Llorca, Manuel & Rodriguez-Alvarez, Ana, 2024. "Economic, environmental, and energy equity convergence: Evidence of a multi-speed Europe?," Ecological Economics, Elsevier, vol. 219(C).
    10. Imane Bounadi & Khalil Allali & Aziz Fadlaoui & Mohammed Dehhaoui, 2023. "Water Pollution Abatement in Olive Oil Industry in Morocco: Cost Estimates and Policy Implications," Sustainability, MDPI, vol. 15(5), pages 1-19, February.
    11. Cuesta, Rafael A. & Lovell, C.A. Knox & Zofío, José L., 2009. "Environmental efficiency measurement with translog distance functions: A parametric approach," Ecological Economics, Elsevier, vol. 68(8-9), pages 2232-2242, June.
    12. Jean Joseph Minviel & Timo Sipiläinen, 2021. "A dynamic stochastic frontier approach with persistent and transient inefficiency and unobserved heterogeneity," Agricultural Economics, International Association of Agricultural Economists, vol. 52(4), pages 575-589, July.
    13. Goh, Kim Huat & See, Kok Fong, 2023. "Incorporating nonrevenue water in the efficiency assessment of water supply utilities: A parametric enhanced hyperbolic distance function," Utilities Policy, Elsevier, vol. 81(C).
    14. Sarmento, Joaquim Miranda & Renneboog, Luc & Verga-Matos, Pedro, 2017. "Measuring highway efficiency : A DEA approach and the Malquist index," Other publications TiSEM 23264815-321e-45a3-83ee-9, Tilburg University, School of Economics and Management.
    15. Skevas, Ioannis & Zhu, Xueqin & Shestalova, Victoria & Emvalomatis, Grigorios, 2018. "The Impact of Agri-Environmental Policies and Production Intensification on the Environmental Performance of Dutch Dairy Farms," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 43(3), September.
    16. Ripoll-Zarraga, Ane Elixabete & Raya, Josep Maria, 2020. "Tourism indicators and airports' technical efficiency," Annals of Tourism Research, Elsevier, vol. 80(C).
    17. Odeck, James & Welde, Morten, 2017. "The accuracy of toll road traffic forecasts: An econometric evaluation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 101(C), pages 73-85.
    18. Ather Hassan Dar & Somesh Kumar Mathur & Sila Mishra, 2021. "The Efficiency of Indian Banks: A DEA, Malmquist and SFA Analysis with Bad Output," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 19(4), pages 653-701, December.
    19. Sabrina Auci & Laura Castellucci & Manuela Coromaldi, 2021. "How does public spending affect technical efficiency? Some evidence from 15 European countries," Bulletin of Economic Research, Wiley Blackwell, vol. 73(1), pages 108-130, January.
    20. Lota D. Tamini & Bruno Larue & Gale E. West & Moise K.Ndegue Fongue, 2016. "Agricultural production and pollutant runoffs in QuŽbecÕs Chaudi re river watershed: what are the potential environmental gains?," Cahiers de recherche CREATE 2016-2, CREATE.

    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:eee:transa:v:181:y:2024:i:c:s0965856424000296. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/547/description#description .

    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.