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The Malmquist Productivity Index and Plant Capacity Utilization

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  • Bruno De Borger
  • Kristiaan Kerstens

Abstract

A new decomposition of the Malmquist productivity index is proposed to account for changes in plant capacity utilization. Using a primal, non‐parametric specification of technology, the Malmquist index is decomposed into technical efficiency change, variations in plant capacity utilization and frontier shifts. It provides an alternative to the available methods of incorporating capacity utilization changes into measures of productivity change. Such measures are based on parametric (and, in many cases, dual) technology specifications; moreover, they typically do not allow for technical inefficiency. JEL Classification C61; D24

Suggested Citation

  • Bruno De Borger & Kristiaan Kerstens, 2000. "The Malmquist Productivity Index and Plant Capacity Utilization," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(2), pages 303-310, June.
    • Handle: RePEc:bla:scandj:v:102:y:2000:i:2:p:303-310
    DOI: 10.1111/1467-9442.00201
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    Cited by:

    1. Bruno De Borger & Kristiaan Kerstens & Diego Prior & Ignace Van de Woestyne, 2013. "Static efficiency decompositions and capacity utilization: integrating economic and technical capacity notions," Applied Economics, Taylor & Francis Journals, vol. 45(24), pages 3529-3529, August.
    2. Giovanni Cesaroni & Kristiaan Kerstens & Ignace Van de Woestyne, 2017. "A New Input-Oriented Plant Capacity Notion: Definition and Empirical Comparison," Pacific Economic Review, Wiley Blackwell, vol. 22(4), pages 720-739, October.
    3. Kristiaan KERSTENS & Xiaoqing CHEN, 2022. "Evaluating Horizontal Mergers in Swedish District Courts Using Plant Capacity Concepts: With a Focus on Nonconvexity," Working Papers 2022-EQM-02, IESEG School of Management.
    4. Kristiaan Kerstens & Jafar Sadeghi & Ignace Van de Woestyne & Linjia Zhang, 2022. "Malmquist productivity indices and plant capacity utilisation: new proposals and empirical application," Annals of Operations Research, Springer, vol. 315(1), pages 221-250, August.
    5. Torstein Bye & Annegrete Bruvoll & Jan Larsson, 2009. "Capacity Utilization in a Generalized Malmquist Index Including Environmental Factors: A Decomposition Analysis," Land Economics, University of Wisconsin Press, vol. 85(3), pages 529-538.
    6. 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.
    7. Cesaroni, Giovanni & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2019. "Short- and long-run plant capacity notions: Definitions and comparison," European Journal of Operational Research, Elsevier, vol. 275(1), pages 387-397.
    8. Victoria Shestalova, 2003. "Sequential Malmquist Indices of Productivity Growth: An Application to OECD Industrial Activities," Journal of Productivity Analysis, Springer, vol. 19(2), pages 211-226, April.
    9. Xing Cai & Guoran Chen & Fei Wang, 2023. "How Does Green Finance Policy Affect the Capacity Utilization Rate of Polluting Enterprises?," Sustainability, MDPI, vol. 15(24), pages 1-17, December.
    10. Andreas Eder & Bernhard Mahlberg & Bernhard Stürmer, 2021. "Measuring and explaining productivity growth of renewable energy producers: An empirical study of Austrian biogas plants," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 48(1), pages 37-63, February.
    11. Bo Peng & Rasa Melnikiene & Tomas Balezentis & Giulio Paolo Agnusdei, 2024. "Structural dynamics and sustainability in the agricultural sector: the case of the European Union," Agricultural and Food Economics, Springer;Italian Society of Agricultural Economics (SIDEA), vol. 12(1), pages 1-27, December.
    12. Kerstens, Kristiaan & Shen, Zhiyang, 2021. "Using COVID-19 mortality to select among hospital plant capacity models: An exploratory empirical application to Hubei province," Technological Forecasting and Social Change, Elsevier, vol. 166(C).
    13. Walheer, Barnabé, 2019. "Malmquist productivity index for multi-output producers: An application to electricity generation plants," Socio-Economic Planning Sciences, Elsevier, vol. 65(C), pages 76-88.
    14. Dale Squires & Kathleen Segerson, 2022. "Capacity and Capacity Utilization in Production Economics," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 24, pages 1001-1037, Springer.
    15. Burda, Michael C. & Severgnini, Battista, 2014. "Solow residuals without capital stocks," Journal of Development Economics, Elsevier, vol. 109(C), pages 154-171.
    16. Tariq Raza, 2016. "Measuring Technology Differences Across Football Manufacturers in Sialkot," Lahore Journal of Economics, Department of Economics, The Lahore School of Economics, vol. 21(Special E), pages 237-251, September.
    17. Ouellette, Pierre & Vierstraete, Valerie, 2004. "Technological change and efficiency in the presence of quasi-fixed inputs: A DEA application to the hospital sector," European Journal of Operational Research, Elsevier, vol. 154(3), pages 755-763, May.
    18. Ma, Hongqi & Mei, Xinxiang & Tian, Yuan, 2020. "The impacts and potential mechanisms of credit support with regard to overcapacity: Based on theoretical and empirical analyses of steel enterprises," Resources Policy, Elsevier, vol. 68(C).
    19. W. Diewert & Kevin Fox, 2010. "Malmquist and Törnqvist productivity indexes: returns to scale and technical progress with imperfect competition," Journal of Economics, Springer, vol. 101(1), pages 73-95, September.
    20. Magdalena Kapelko & Alfons Oude Lansink, 2015. "An international comparison of productivity change in the textile and clothing industry: a bootstrapped Malmquist index approach," Empirical Economics, Springer, vol. 48(4), pages 1499-1523, June.

    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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