Dual productivity analysis: A Konüs/Shephard approach

E. Grifell-Tatjé, C. A.Knox Lovell*

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)


A primal (or direct) productivity index is conventionally defined as the ratio of an output quantity index to an input quantity index. There have been attempts in the literature to define and implement dual and indirect productivity indexes based on price changes rather than quantity changes. Although dual and indirect productivity indexes share a common motivation, the measurement of productivity change when prices are easier to measure, or are measured more accurately, than quantities, they differ analytically, from one another and from primal productivity indexes. We introduce a new dual productivity index, inspired by contributions of Konüs and Shephard, and we compare our dual productivity index with a primal productivity index inspired by the work of Malmquist. We also compare these two theoretical productivity indexes with an analogous pair of empirical Fisher productivity indexes. We provide an empirical application to US agricultural productivity growth.

Original languageEnglish
Article number1
Pages (from-to)328-337
Number of pages10
JournalEuropean Journal of Operational Research
Issue number1
Publication statusPublished - 16 Feb 2021


  • Agricultural productivity
  • Data envelopment analysis
  • Dual and primal productivity indexes
  • Price distance functions


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