IDEAS home Printed from https://ideas.repec.org/a/pab/rmcpee/v29y2020i1p190-207.html
   My bibliography  Save this article

Effects of Inefficiency on Marginal Costs, Degree of Economies of Scale and Technical Change: A Theoretical Relationship. The Case of Spanish Port Authorities || Efectos de la ineficiencia sobre los costes marginales, el grado de economías de escala y el cambio técnico: una relación teórica. El caso del sector estibador español

Author

Listed:
  • Díaz-Hernández, Juan José

    (Department of Economics, Accounting and Finance. University of La Laguna (Spain))

  • Martínez-Budría, Eduardo

    (Instituto Universitario de Desarrollo Regional. University of La Laguna (Spain))

  • González, Rosa Marina

    (Department of Economics, Accounting and Finance and Instituto Universitario de Desarrollo Regional. University of La Laguna (Spain))

Abstract

In this paper, a theoretical relationship is obtained to measure the effect that inefficiency has on marginal costs, degree of economies of scale and technical change. It is shown that when the relationship between inefficiency and output level is ignored, the estimation of marginal costs and the degree of economies of scale are incorrect. The measurement of technical change is also wrongly calculated if one does not consider the variation of inefficiency over time. This could lead to incorrect pricing decisions that would transfer inefficiency to the consumer via prices and non-optimal investments in productive capacity. In addition, the effect of technical change on costs could be erroneously estimated. The empirical application of this theoretical model to Spanish port authorities during the period 2008-2016 shows that marginal costs of port services were overestimated, the degree of economies of scale was underestimated and the time variations of the inefficiency were interpreted erroneously as technical change when the relationship between inefficiency and output and time is not considered. || En este trabajo se obtiene una relación teórica para medir el efecto que la ineficiencia tiene sobre los costes marginales, el grado de economías de escala y el cambio técnico. Se muestra que cuando se ignora la relación entre la ineficiencia y el nivel de producción, las estimaciones de los costes marginales y del grado de economías de escala son incorrectas. La medición del cambio técnico también es errónea si no se considera la variación temporal de la ineficiencia. Esto podría llevar a que se tomen decisiones de fijación de los precios que transferirían la ineficiencia al consumidor vía precios y a que las decisiones de inversión en capacidad productiva no fuesen óptimas. Además, el efecto del cambio técnico sobre los costes se podría valorar erróneamente. La aplicación empírica de este modelo teórico a las autoridades portuarias españolas durante el periodo 2008-2016 muestra que los costes marginales de los servicios portuarios se sobreestimaron, el grado de economías de escala se infraestimó y las variaciones temporales de la ineficiencia se interpretaron erróneamente como cambio técnico cuando la relación entre la ineficiencia y los outputs y el tiempo no fue considerada.

Suggested Citation

  • Díaz-Hernández, Juan José & Martínez-Budría, Eduardo & González, Rosa Marina, 2020. "Effects of Inefficiency on Marginal Costs, Degree of Economies of Scale and Technical Change: A Theoretical Relationship. The Case of Spanish Port Authorities || Efectos de la ineficiencia sobre los c," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 29(1), pages 190-207, June.
  • Handle: RePEc:pab:rmcpee:v:29:y:2020:i:1:p:190-207
    as

    Download full text from publisher

    File URL: https://www.upo.es/revistas/index.php/RevMetCuant/article/view/2804
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Atkinson, Scott E & Cornwell, Christopher, 1994. "Parametric Estimation of Technical and Allocative Inefficiency with Panel Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 231-243, February.
    2. Sergio Jara-Díaz & Eduardo Martínez-Budría & Cristiín Cortés & Leonardo Basso, 2002. "A multioutput cost function for the services of Spanish ports' infrastructure," Transportation, Springer, vol. 29(4), pages 419-437, November.
    3. Toda, Yasushi, 1976. "Estimation of a Cost Function When the Cost Is Not Minimum: The Case of Soviet Manufacturing Industries, 1958-1971," The Review of Economics and Statistics, MIT Press, vol. 58(3), pages 259-268, August.
    4. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    5. Kumbhakar, Subal C., 1997. "Modeling allocative inefficiency in a translog cost function and cost share equations: An exact relationship," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 351-356.
    6. Lau, Lawrence J & Yotopoulos, Pan A, 1971. "A Test for Relative Efficiency and Application to Indian Agriculture," American Economic Review, American Economic Association, vol. 61(1), pages 94-109, March.
    7. Atkinson, Scott E & Halvorsen, Robert, 1984. "Parametric Efficiency Tests, Economies of Scale, and Input Demand in U.S. Electric Power Generation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 647-662, October.
    8. Battese, G E & Coelli, T J, 1995. "A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data," Empirical Economics, Springer, vol. 20(2), pages 325-332.
    9. Juan Díaz-Hernández & Eduardo Martínez-Budría & Sergio Jara-Diaz, 2008. "Parametric estimation of inefficiency in cargo handling in Spanish ports," Journal of Productivity Analysis, Springer, vol. 30(3), pages 223-232, December.
    10. 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.
    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. Balint, Borbala & Sauer, Johannes, 2006. "Distorted Prices And Producer Efficiency - Romanian Maize," 46th Annual Conference, Giessen, Germany, October 4-6, 2006 14958, German Association of Agricultural Economists (GEWISOLA).
    2. Balint, B. & Sauer, J., 2007. "Distorted Prices and Producer Efficiency – Romanian Maize," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 42, March.
    3. Kristin Roll, 2013. "Measuring performance, development and growth when restricting flexibility," Journal of Productivity Analysis, Springer, vol. 39(1), pages 15-25, February.
    4. Sauer, Johannes & Balint, Borbala, 2006. "Romanian Maize - Distorted Prices and Producer Efficiency," 2006 Annual meeting, July 23-26, Long Beach, CA 21410, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Sickles, Robin C., 2005. "Panel estimators and the identification of firm-specific efficiency levels in parametric, semiparametric and nonparametric settings," Journal of Econometrics, Elsevier, vol. 126(2), pages 305-334, June.
    6. Tovar, Beatriz & Wall, Alan, 2015. "Can ports increase traffic while reducing inputs? Technical efficiency of Spanish Port Authorities using a directional distance function approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 71(C), pages 128-140.
    7. Radha R. Ashrit, 2023. "Estimation of technical efficiency of Indian farms for major crops during 2013–2014 and 2017–2018: a stochastic Frontier production approach," SN Business & Economics, Springer, vol. 3(2), pages 1-32, February.
    8. Rolf Färe & Daniel Primont, 2012. "Dual allocative efficiency parameters," Journal of Productivity Analysis, Springer, vol. 37(3), pages 233-238, June.
    9. Anik, Asif Reza & Bauer, Siegfried, 2015. "Impact of resource ownership and input market access on Bangladeshi paddy growers’ efficiency," International Journal of Agricultural Management, Institute of Agricultural Management, vol. 4(3), April.
    10. Raghbendra Jha & Hari K. Nagarajan & Subbarayan Prasanna, 2005. "Land Fragmentation and its Implications for Productivity: Evidence from Southern India," ASARC Working Papers 2005-01, The Australian National University, Australia South Asia Research Centre.
    11. Christine Amsler & Artem Prokhorov & Peter Schmidt, 2021. "A new family of copulas, with application to estimation of a production frontier system," Journal of Productivity Analysis, Springer, vol. 55(1), pages 1-14, February.
    12. Tai-Hsin Huang & Kuan-Chen Chen & Chien-Hsiu Lin & Ming-Tai Chung, 2014. "Consistent estimation of technical and allocative efficiencies for a semiparametric stochastic cost frontier with shadow input prices," Journal of Productivity Analysis, Springer, vol. 41(2), pages 307-320, April.
    13. Meidiana Purnamasari & Wen-Chi Huang & Bambang Priyanto, 2023. "The Impact of Government Food Policy on Farm Efficiency of Beneficiary Small-Scale Farmers in Indonesia," Agriculture, MDPI, vol. 13(6), pages 1-14, June.
    14. Kumbhakar, Subal C. & Tsionas, Efthymios G., 2005. "Measuring technical and allocative inefficiency in the translog cost system: a Bayesian approach," Journal of Econometrics, Elsevier, vol. 126(2), pages 355-384, June.
    15. Tai-Hsin Huang, 2000. "Estimating X-Efficiency in Taiwanese Banking Using a Translog Shadow Profit Function," Journal of Productivity Analysis, Springer, vol. 14(3), pages 225-245, November.
    16. Ngwenya, S.A. & Battese, George E. & Fleming, Euan M., 1997. "The Relationship Between Farm Size and Technical Inefficiency of Production of Wheat Farmers in the Eastern Free State, Province of South Africa," Agrekon, Agricultural Economics Association of South Africa (AEASA), vol. 36(3), pages 1-20, September.
    17. Luis R. Murillo‐Zamorano, 2004. "Economic Efficiency and Frontier Techniques," Journal of Economic Surveys, Wiley Blackwell, vol. 18(1), pages 33-77, February.
    18. Rafael Cuesta, 2000. "A Production Model With Firm-Specific Temporal Variation in Technical Inefficiency: With Application to Spanish Dairy Farms," Journal of Productivity Analysis, Springer, vol. 13(2), pages 139-158, March.
    19. Khiabani, Nasser & Hasani, Karim, 2010. "Technical and allocative inefficiencies and factor elasticities of substitution: An analysis of energy waste in Iran's manufacturing," Energy Economics, Elsevier, vol. 32(5), pages 1182-1190, September.
    20. Arazmuradov, Annageldy & Martini, Gianmaria & Scotti, Davide, 2014. "Determinants of total factor productivity in former Soviet Union economies: A stochastic frontier approach," Economic Systems, Elsevier, vol. 38(1), pages 115-135.

    More about this item

    Keywords

    cost efficiency; marginal cost; degree of economies of scale; technical change; ports; eficiencia en costes; coste marginal; grado de economías de escala; cambio técnico; puertos.;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

    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:pab:rmcpee:v:29:y:2020:i:1:p:190-207. 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: Publicación Digital - UPO (email available below). General contact details of provider: https://edirc.repec.org/data/dmupoes.html .

    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.