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Graph efficiency and productivity measures: an application to US agriculture

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  • Jose Zofio
  • C. A. Knox Lovell

Abstract

Hyperbolic measures of efficiency and productivity change with respect to a graph representation of production technology allow researchers to consider output and input dimensions simultaneously in measuring producer performance. Hyperbolic efficiency measures have been proposed, but empirical implementation has not followed, either in efficiency analysis or in productivity analysis. The objectives of this paper are to define hyperbolic performance measures on a graph representation of production technology, to motivate their use by stating some of their advantages over their radial counterparts, and to introduce a direct formulation to calculate them making use of Data Envelopment Analysis techniques. The ideas are illustrated by calculating hyperbolic efficiency and Malmquist productivity indexes for a US agricultural panel data set.

Suggested Citation

  • Jose Zofio & C. A. Knox Lovell, 2001. "Graph efficiency and productivity measures: an application to US agriculture," Applied Economics, Taylor & Francis Journals, vol. 33(11), pages 1433-1442.
    • Handle: RePEc:taf:applec:v:33:y:2001:i:11:p:1433-1442
    DOI: 10.1080/00036840010009865
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Kristiaan Kerstens & Jafar Sadeghi & Ignace Van de Woestyne, 2020. "Plant capacity notions in a non-parametric framework: a brief review and new graph or non-oriented plant capacities," Annals of Operations Research, Springer, vol. 288(2), pages 837-860, May.
    2. Boussemart, Jean-Philippe & Briec, Walter & Peypoch, Nicolas & Tavéra, Christophe, 2009. "[alpha]-Returns to scale and multi-output production technologies," European Journal of Operational Research, Elsevier, vol. 197(1), pages 332-339, August.
    3. Reichmann, Gerhard & Sommersguter-Reichmann, Margit, 2006. "University library benchmarking: An international comparison using DEA," International Journal of Production Economics, Elsevier, vol. 100(1), pages 131-147, March.
    4. Aparicio, Juan & Garcia-Nove, Eva M. & Kapelko, Magdalena & Pastor, Jesus T., 2017. "Graph productivity change measure using the least distance to the pareto-efficient frontier in data envelopment analysis," Omega, Elsevier, vol. 72(C), pages 1-14.
    5. F J Arcelus & P Arocena, 2005. "Productivity differences across OECD countries in the presence of environmental constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(12), pages 1352-1362, December.
    6. Aparicio, Juan & Kapelko, Magdalena & Zofío, José L., 2020. "The measurement of environmental economic inefficiency with pollution-generating technologies," Resource and Energy Economics, Elsevier, vol. 62(C).
    7. Simar, Léopold & W. Wilson, Paul, 2019. "Central limit theorems and inference for sources of productivity change measured by nonparametric Malmquist indices," European Journal of Operational Research, Elsevier, vol. 277(2), pages 756-769.
    8. Jose Zofio, 2007. "Malmquist productivity index decompositions: a unifying framework," Applied Economics, Taylor & Francis Journals, vol. 39(18), pages 2371-2387.
    9. Cuesta, Rafael A. & Zofío, Jose L., 2003. "Graph Efficiency and Parametric Distance Function with an Application to Spanish Savings Banks," Efficiency Series Papers 2003/01, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    10. Mohsen Afsharian & Heinz Ahn, 2015. "The overall Malmquist index: a new approach for measuring productivity changes over time," Annals of Operations Research, Springer, vol. 226(1), pages 1-27, March.
    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. A L Johnson & L F McGinnis, 2009. "The hyperbolic-oriented efficiency measure as a remedy to infeasibility of super efficiency models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(11), pages 1511-1517, November.
    13. Mustapha D. Ibrahim & Sahand Daneshvar & Mevhibe B. Hocaoğlu & Olasehinde-Williams G. Oluseye, 2019. "An Estimation of the Efficiency and Productivity of Healthcare Systems in Sub-Saharan Africa: Health-Centred Millennium Development Goal-Based Evidence," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 143(1), pages 371-389, May.
    14. Briec, Walter & Kerstens, Kristiaan, 2009. "The Luenberger productivity indicator: An economic specification leading to infeasibilities," Economic Modelling, Elsevier, vol. 26(3), pages 597-600, May.
    15. Yang, Fuxia & Yang, Mian & Nie, Hualin, 2013. "Productivity trends of Chinese regions: A perspective from energy saving and environmental regulations," Applied Energy, Elsevier, vol. 110(C), pages 82-89.
    16. Martin Boďa & Mariana Považanová, 2020. "Productivity patterns in Europe: adaptation of the Malmquist index to measuring group performance and productivity change over time," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 47(4), pages 949-989, November.
    17. Pablo Arocena & Ariadna García‐Prado, 2007. "Accounting for quality in the measurement of hospital performance: evidence from Costa Rica," Health Economics, John Wiley & Sons, Ltd., vol. 16(7), pages 667-685, July.
    18. Fernando Jiménez-Sáez & Jon Mikel Zabala-Iturriagagoitia & Jose Luis Zofío, 2013. "Who leads research productivity growth? Guidelines for R&D policy-makers," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(1), pages 273-303, January.
    19. Antonio Peyrache, 2014. "Hicks-Moorsteen versus Malmquist: a connection by means of a radial productivity index," Journal of Productivity Analysis, Springer, vol. 41(3), pages 435-442, June.
    20. Juan Aparicio & Fernando Borras & Lidia Ortiz & Jesus T. Pastor & Fernando Vidal, 2019. "Luenberger-type indicators based on the weighted additive distance function," Annals of Operations Research, Springer, vol. 278(1), pages 195-213, July.
    21. Ang, Frederic & Kerstens, Pieter Jan, 2017. "Decomposing the Luenberger–Hicks–Moorsteen Total Factor Productivity indicator: An application to U.S. agriculture," European Journal of Operational Research, Elsevier, vol. 260(1), pages 359-375.
    22. Philippe Barla & Sergio Perelman, 2005. "Sulphur emissions and productivity growth in industrialised countries," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 76(2), pages 275-300, June.

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