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Negatives in symmetric inpout-output tables: The impossible quest for the holy grail

Author

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  • Louis de Mesnard

    (Université de Bourgogne LEG/AMIE)

Abstract

In the Supply-Use (or Make-Use) input-output model, “product-technology” (PT) or “fixed-industry-sales-structure” (FISS) assumptions are more widely adopted (SNA, Eurostat) for deriving symmetric input-output tables (SIOT) than “industry-technology” or “fixed-product-sales-structure” assumptions, but generate negatives in the SIOT. A SIOT deduced from the Supply-Use model is considered as satisfactory as soon as it contains no more negatives: scholars have focused on the negatives in the SIOT and on how to remove them. However, as a SIOT may include no negatives even if there are some negatives in the inverse Supply matrix, we have completely reversed the reasoning. A counter-example demonstrates that computing the inverse Supply matrix, as imposed by PT or FISS assumptions, is mathematically a nonsense operation even when the SIOT does not include any negative; this result is new. Hence, deriving a SIOT under PT or FISS assumptions must be rejected. Three applications are provided: Austria 2000 and 2005 and USA 2007.

Suggested Citation

  • Louis de Mesnard, "undated". "Negatives in symmetric inpout-output tables: The impossible quest for the holy grail," LEG - Document de travail - Economie e2009-12, LEG, Laboratoire d'Economie et de Gestion, CNRS, Université de Bourgogne.
    • Handle: RePEc:lat:legeco:e2009-12
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    References listed on IDEAS

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    1. Lars Bohlin & Lars Widell, 2006. "Estimation of commodity-by-commodity input-output matrices," Economic Systems Research, Taylor & Francis Journals, vol. 18(2), pages 205-215.
    2. Gerard Eding & Jan Oosterhaven & Bas Vet & Henk Nijmeijer, 1999. "Constructing Regional Supply and Use Tables: Dutch Experiences," Advances in Spatial Science, in: Geoffrey J. D. Hewings & Michael Sonis & Moss Madden & Yoshio Kimura (ed.), Understanding and Interpreting Economic Structure, chapter 12, pages 237-262, Springer.
    3. Joe Mattey, 1993. "Evidence on IO Technology Assumptions From the Longitudinal Research Database," Working Papers 93-8, Center for Economic Studies, U.S. Census Bureau.
    4. William A. Schaffer, 1999. "Regional Impact Models," Wholbk, Regional Research Institute, West Virginia University, number 24, November-.
    5. Joe Mattey & Thijs ten Raa, 2009. "Primary Versus Secondary Production Techniques in U.S. Manufacturing," World Scientific Book Chapters, in: Input–Output Economics: Theory And Applications Featuring Asian Economies, chapter 16, pages 285-305, World Scientific Publishing Co. Pte. Ltd..
    6. Joe Mattey & Thijs ten Raa, 2009. "Primary Versus Secondary Production Techniques in U.S. Manufacturing," World Scientific Book Chapters,in: Input–Output Economics: Theory And Applications Featuring Asian Economies, chapter 16, pages 285-305 World Scientific Publishing Co. Pte. Ltd..
    7. Richard Harris & Aying Liu, 1998. "Input-Output Modelling of the Urban and Regional Economy: The Importance of External Trade," Regional Studies, Taylor & Francis Journals, vol. 32(9), pages 851-862.
    8. Geoffrey J. D. Hewings & Michael Sonis & Moss Madden & Yoshio Kimura (ed.), 1999. "Understanding and Interpreting Economic Structure," Advances in Spatial Science, Springer, number 978-3-662-03947-2, Fall.
    9. Rutger Hoekstra, 2005. "Economic Growth, Material Flows and the Environment," Books, Edward Elgar Publishing, number 3700.
    10. repec:rri:bkchap:24 is not listed on IDEAS
    11. Jose Rueda-Cantuche & Joerg Beutel & Frederik Neuwahl & Ignazio Mongelli & Andreas Loeschel, 2009. "A Symmetric Input-Output Table For Eu27: Latest Progress," Economic Systems Research, Taylor & Francis Journals, vol. 21(1), pages 59-79.
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    More about this item

    Keywords

    Input-Output; Supply-Use; Make-Use; Product technology; SIOT; SNA; Eurostat;
    All these keywords.

    JEL classification:

    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis

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