Application of the DEA on the measurement of efficiency in the EU countries
K. Kočišováhttps://doi.org/10.17221/107/2014-AGRICECONCitation:Kočišová K. (2015): Application of the DEA on the measurement of efficiency in the EU countries. Agric. Econ. – Czech, 61: 51-62.
The purpose of the paper is to investigate the relative technical efficiency of the agricultural sector in the European Union (EU) using the Data Envelopment Analysis (DEA) during the period 2007–2011. The authors investigated efficiency using both the input and output-oriented models with the assumption of a variable return to scale. They looked for causes of inefficiency and made recommendations for inefficient agricultural sectors. The results show that, in average, the EU agricultural sectors performed efficiently, as evidenced by the relatively high value of the average input and output efficiency. The efficiency of the EU agricultural sectors had changed over the past few years, and in both models the efficiency has generally decreased over time. As the main source of inefficiency was labelled the input “total utilised agricultural area” and as the strength with a positive impact on efficiency, there was labelled the “crop output.” By calculating the optimal values for the input and output variables for inefficient agricultural sectors, it has been found that for the efficient production of a given quantity of outputs, it was necessary to reduce the value of the input “total labour” in average by 6.18%, the “total utilised agricultural area” in average by 14.45% and the “total assets” in average by 5.93%. In case of the output-oriented model for efficient use of a given quantity of inputs, the agricultural sectors should produce up to 111.85% of their crop output and 113.41% of their animal output.Keywords:agricultural sectors in the European Union, agriculture, Data Envelopment Analysis, technical efficiency DEA, technical efficiencyReferences:
Aigner Dennis, Lovell C.A.Knox, Schmidt Peter (1977): Formulation and estimation of stochastic frontier production function models. Journal of Econometrics, 6, 21-37 https://doi.org/10.1016/0304-4076(77)90052-5Akande O.P. (2012): An Evaluation of Technical Efficiency and Agricultural Productivity Growth in EU Regions. Wageningen University, Wageningen.Arita Shawn, Leung PingSun (2014): A Technical Efficiency Analysis of Hawaii's Aquaculture Industry. Journal of the World Aquaculture Society, 45, 312-321 https://doi.org/10.1111/jwas.12124Banker R. D., Charnes A., Cooper W. W. (1984): Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis. Management Science, 30, 1078-1092 https://doi.org/10.1287/mnsc.30.9.1078Bielik P., Hupková D. (2011): The technical efficiency analysis – case of agricultural basic industry in Slovakia. Agris On-line Papers in Economics and Informatics, 1: 3–12.Bielik P., Hupková D., Vadovič M., Turčeková N. (2010): The Return to Scale Analysis in the Basic Industry Enterprises in the Slovak Republic. Agricultural Economics – Czech, 56: 359–367.Bielik P., Rajčániová M. (2004): Scale Efficiency of Agricultural Enterprises in Slovakia. Agricultural Economics – Czech, 50: 331–335.Bojnec Štefan, Fertő Imre, Jámbor Attila, Tóth József (2014): Determinants of technical efficiency in agriculture in new EU member states from Central and Eastern Europe. Acta Oeconomica, 64, 197-217 https://doi.org/10.1556/AOecon.64.2014.2.4Charnes A., Cooper W.W., Rhodes E. (1978): Measuring the efficiency of decision making units. European Journal of Operational Research, 2, 429-444 https://doi.org/10.1016/0377-2217(78)90138-8Coelli T., Rao D.S.P., O’Donell CH.J, Battese G.E. (2005): An Introduction to Efficiency and Productivity Analysis. Springer, New York.Čechura L. (2010): Estimation of technical efficiency in Czech agriculture with respect to firm heterogenity. Agricultural Economics – Czech, 56: 183–191.Dios-Palomares Rafaela, Martínez-Paz José M. (2011): Technical, quality and environmental efficiency of the olive oil industry. Food Policy, 36, 526-534 https://doi.org/10.1016/j.foodpol.2011.04.001Dlouhý M., Jablonský J., Novosádová I. (2007): Využití analýzy obalu dat pro hodnocení efektivnosti českých nemocnic. (Use of data envelopment analysis to evaluate the effectiveness Czech hospitals.) Politická ekonomie, 1: 60-71.Farrell M. J. (1957): The Measurement of Productive Efficiency. Journal of the Royal Statistical Society. Series A (General), 120, 253- https://doi.org/10.2307/2343100Garibaldi L. A., Aizen M. A., Klein A. M., Cunningham S. A., Harder L. D. (): Global growth and stability of agricultural yield decrease with pollinator dependence. Proceedings of the National Academy of Sciences, 108, 5909-5914 https://doi.org/10.1073/pnas.1012431108Gavurová B. (2011): The balanced scorecard system in enterprise management. Ekonomický časopis, 2: 163–177.Gavurová B. (2012): Source identification of potential malfunction of balanced scorecard system and its influence on system function. E+M Ekonomie a Management, 3: 76–90.Hengzhou X., Tong Ch. (2013): Impact of farmers’ differentiation on farmland-use efficiency: Evidence from household survey data in rural China. Agricultural Economics – Czech, 59: 227–234.Jablonský J., Grmanov E. (2009): Analýza efektívnosti slovenských a českých poisťovní pomocou modelov analýzy obalu dát. (Analysis of efficiency of Slovak and Czech insurance companies by Data Envelopment Analysis Models.) Ekonomický časopis, 57: 857–869.Janová J., Vavřina J., Hampel D. (2012): DEA as a tool for bankruptcy assessment: the agribusiness case study. In: Proceedings of the 30th International Conference Mathematical Methods in Economics 2012: 379–383.Jeck T., Sudzina F. (2009): Relatívna efektívnosť univerzít na Slovensku. Úloha univerzít v regionálnom rozvoji. (Relative Efficiency of Slovak Universities.) In: Zborník vedeckých prác vedeckej konferencie, 30.11.2009, Košice: 84–93.Khai H.V, Yabe M. (2011): Technical efficiency analysis of rice production in Vietnam. Journal of ISSAAS, 17: 135–146.Koróny S., Gavurová B. (2013): DEA analysis of one day health care in Slovakia. Forum Statisticum Slovacum, 2: 104–109.Kráľ P., Roháčová V. (2013): Measuring the efficiency of public road transport companies in the Slovak Republic using DEA and SFA. Statistika, 93: 76–85.Lima R. (2013): More money in education makes economy best? Statistika: Statistics and Economy Journal, 93: 63–84.Mathijs E., Vranken L. (2000): Farm restructuring and efficiency in transitions: Evidence from Bulgaria and Hungary. In: American Agricultural Economics Association Annual Meeting, Tampa: 1–26.Scheel H. (2000): EMS: Efficiency Measurement System, User’s Manual. Version 1.3. Dortmund. Available at http://www.scheel-online.de/ems/ems.pdfStavárek Daniel (2006): Banking Efficiency in the Context of European Integration. Eastern European Economics, 44, 5-31 https://doi.org/10.2753/EEE0012-8775440401Stavárek Daniel, Řepková Iveta (): Efficiency in the Czech banking industry: A non-parametric approach. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 60, 357-366 https://doi.org/10.11118/actaun201260020357Šoltés V., Gavurová B. (2013): Application of the cross impact matrix method in problematic phases of the Balanced Scorecard system in private and public sector. Journal of Applied Economic Sciences, 1: 99–119.Špička J. (2014): The regional efficiency of mixed crop and livestock type of farming and its determinants. Agris On-line Papers in Economics and Informatics, 1: 99–109.Zamanian G.R., Shahabinejad V., Yaghoubi M. (2013): Application of DEA and SFA on the Measurement of Agricultural Technical Efficiency in MENA Countries. International Journal of Applied Operational Research, 2: 43–51.