IDEAS home Printed from https://ideas.repec.org/a/taf/ecsysr/v20y2008i1p111-123.html
   My bibliography  Save this article

Updating an Input-Output Matrix with Sign-preservation: Some Improved Objective Functions and their Solutions

Author

Listed:
  • Wenfeng Huang
  • Shintaro Kobayashi
  • Hajime Tanji

Abstract

This paper presents an easy-to-use method for updating input-output (IO) matrices with sign-preservation by combining Lagrangian multipliers and penalty functions. Biproportional methods such as the representative RAS are very simple and popular because a target matrix can be obtained simply by iterative computation. However, they cannot reasonably deal with matrices that include negative entries. Although a generalized version, GRAS, can do so, its objective function is questionable. In contrast, some non-biproportional methods such as those that take weighted or unweighted squared differences between the target and original matrix as objective functions can deal with negative entries, but it is difficult to guarantee the signs of entries. In this study, GRAS and some conventional objective functions were improved and their solutions for preserving the signs of entries are presented. Comparisons of applying these objective functions to a simple example show that both the Improved Normalized Squared Differences (INSD) function and the Improved GRAS (IGRAS) function yield a good target matrix and are close to each other; we suggest that INSD or IGRAS be used for updating IO transaction matrices in practice.

Suggested Citation

  • Wenfeng Huang & Shintaro Kobayashi & Hajime Tanji, 2008. "Updating an Input-Output Matrix with Sign-preservation: Some Improved Objective Functions and their Solutions," Economic Systems Research, Taylor & Francis Journals, vol. 20(1), pages 111-123.
    • Handle: RePEc:taf:ecsysr:v:20:y:2008:i:1:p:111-123
    DOI: 10.1080/09535310801892082
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/09535310801892082
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/09535310801892082?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Randall Jackson & Alan Murray, 2004. "Alternative Input-Output Matrix Updating Formulations," Economic Systems Research, Taylor & Francis Journals, vol. 16(2), pages 135-148.
    2. G J D Hewings & B N Janson, 1980. "Exchanging Regional Input—Output Coefficients: A Reply and Further Comments," Environment and Planning A, , vol. 12(7), pages 843-854, July.
    3. Jan Oosterhaven, 2005. "GRAS versus minimizing absolute and squared differences: a comment," Economic Systems Research, Taylor & Francis Journals, vol. 17(3), pages 327-331.
    4. Manfred Lenzen & Richard Wood & Blanca Gallego, 2007. "Some Comments on the GRAS Method," Economic Systems Research, Taylor & Francis Journals, vol. 19(4), pages 461-465.
    5. Michael Lahr & Louis de Mesnard, 2004. "Biproportional Techniques in Input-Output Analysis: Table Updating and Structural Analysis," Economic Systems Research, Taylor & Francis Journals, vol. 16(2), pages 115-134.
    6. Theo Junius & Jan Oosterhaven, 2003. "The Solution of Updating or Regionalizing a Matrix with both Positive and Negative Entries," Economic Systems Research, Taylor & Francis Journals, vol. 15(1), pages 87-96, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kobayashi, Shintaro & Yokoyama, Shigeki, 2015. "Comparison of Development Options in an Erosion-Prone Reservoir Area: A Case of Wonogiri, Central Java, Indonesia," Japanese Journal of Agricultural Economics (formerly Japanese Journal of Rural Economics), Agricultural Economics Society of Japan (AESJ), vol. 17, pages 1-6.
    2. Umed Temurshoev & Marcel P. Timmer, 2011. "Joint estimation of supply and use tables," Papers in Regional Science, Wiley Blackwell, vol. 90(4), pages 863-882, November.
    3. repec:dgr:rugsom:13017-gem is not listed on IDEAS
    4. Anthony T. Flegg & Guiseppe R. Lamonica & Francesco M. Chelli & Maria C. Recchioni & Timo Tohmo, 2021. "A new approach to modelling the input–output structure of regional economies using non-survey methods," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 10(1), pages 1-31, December.
    5. Bouwmeester, Maaike C. & Oosterhaven, J., 2017. "Economic impacts of natural gas flow disruptions between Russia and the EU," Energy Policy, Elsevier, vol. 106(C), pages 288-297.
    6. Bonfiglio, Andrea & Coderoni, Silvia & Esposti, Roberto, 2022. "Policy responses to COVID-19 pandemic waves: Cross-region and cross-sector economic impact," Journal of Policy Modeling, Elsevier, vol. 44(2), pages 252-279.
    7. Tamas Revesz, 2023. "A not sign-preserving iteration algorithm for the ‘Improved Normalized Squared Differences’ matrix adjustment model," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(1), pages 49-71, March.
    8. repec:dgr:rugggd:gd-116 is not listed on IDEAS
    9. Baoline Chen & Tommaso Di Fonzo & Thomas Howells & Marco Marini, 2018. "The statistical reconciliation of time series of accounts between two benchmark revisions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 533-552, November.
    10. Jan Oosterhaven & Michiya Nozaki, 2014. "The impact of production and infrastructure shocks to the Japanese inter-regional economy: A non-linear input-output programming approach," ERSA conference papers ersa14p163, European Regional Science Association.
    11. Oosterhaven, J. & Bouwmeester, M.C. & Nozaki, M., 2013. "The impact of production and infrastructure shocks," Research Report 13017-GEM, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    12. Umed Temursho & Manuel Alejandro Cardenete & Krzysztof Wojtowicz & Luis Rey & Matthias Weitzel & Toon Vandyck & Bert Saveyn, 2020. "Projecting input-output tables for model baselines," JRC Research Reports JRC120513, Joint Research Centre.
    13. Manfred Lenzen & Maria Cecilia Pinto de Moura & Arne Geschke & Keiichiro Kanemoto & Daniel Dean Moran, 2012. "A Cycling Method For Constructing Input--Output Table Time Series From Incomplete Data," Economic Systems Research, Taylor & Francis Journals, vol. 24(4), pages 413-432, February.
    14. Andre Lemelin, 2009. "A Gras Variant Solving For Minimum Information Loss," Economic Systems Research, Taylor & Francis Journals, vol. 21(4), pages 399-408.
    15. Jan Oosterhaven & Johannes Többen, 2017. "Wider economic impacts of heavy flooding in Germany: a non-linear programming approach," Spatial Economic Analysis, Taylor & Francis Journals, vol. 12(4), pages 404-428, October.
    16. Anders Hammer Strømman, 2009. "A Multi-Objective Assessment Of Input-Output Matrix Updating Methods," Economic Systems Research, Taylor & Francis Journals, vol. 21(1), pages 81-88.
    17. Jeffrey C. Peters & Thomas W. Hertel, 2016. "Matrix balancing with unknown total costs: preserving economic relationships in the electric power sector," Economic Systems Research, Taylor & Francis Journals, vol. 28(1), pages 1-20, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tamas Revesz, 2023. "A not sign-preserving iteration algorithm for the ‘Improved Normalized Squared Differences’ matrix adjustment model," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(1), pages 49-71, March.
    2. Anders Hammer Strømman, 2009. "A Multi-Objective Assessment Of Input-Output Matrix Updating Methods," Economic Systems Research, Taylor & Francis Journals, vol. 21(1), pages 81-88.
    3. Umed Temursho & Manuel Alejandro Cardenete & Krzysztof Wojtowicz & Luis Rey & Matthias Weitzel & Toon Vandyck & Bert Saveyn, 2020. "Projecting input-output tables for model baselines," JRC Research Reports JRC120513, Joint Research Centre.
    4. Andre Lemelin, 2009. "A Gras Variant Solving For Minimum Information Loss," Economic Systems Research, Taylor & Francis Journals, vol. 21(4), pages 399-408.
    5. Erik Dietzenbacher & Ronald E. Miller, 2009. "Ras‐Ing The Transactions Or The Coefficients: It Makes No Difference," Journal of Regional Science, Wiley Blackwell, vol. 49(3), pages 555-566, August.
    6. Umed Temursho, 2018. "Entropy‐based benchmarking methods," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 421-446, November.
    7. Richard Wood & Konstantin Stadler & Tatyana Bulavskaya & Stephan Lutter & Stefan Giljum & Arjan De Koning & Jeroen Kuenen & Helmut Schütz & José Acosta-Fernández & Arkaitz Usubiaga & Moana Simas & Olg, 2014. "Global Sustainability Accounting—Developing EXIOBASE for Multi-Regional Footprint Analysis," Sustainability, MDPI, vol. 7(1), pages 1-26, December.
    8. Roberto Mínguez & Jan Oosterhaven & Fernando Escobedo, 2009. "Cell‐Corrected Ras Method (Cras) For Updating Or Regionalizing An Input–Output Matrix," Journal of Regional Science, Wiley Blackwell, vol. 49(2), pages 329-348, May.
    9. Richard Wood, 2011. "Construction, Stability And Predictability Of An Input-Output Time-Series For Australia," Economic Systems Research, Taylor & Francis Journals, vol. 23(2), pages 175-211.
    10. Jakub Boratyński, 2016. "A Bayesian Approach to Matrix Balancing: Transformation of Industry-Level Data under NACE Revision," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 8(4), pages 219-239, December.
    11. Juan Manuel Valderas‐Jaramillo & José Manuel Rueda‐Cantuche, 2021. "The multidimensional nD‐GRAS method: Applications for the projection of multiregional input–output frameworks and valuation matrices," Papers in Regional Science, Wiley Blackwell, vol. 100(6), pages 1599-1624, December.
    12. Barbara Hutniczak, 2022. "Efficient updating of regional supply and use tables with the national-level statistics," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 11(1), pages 1-11, December.
    13. Andre Fernandes Tomon Avelino, 2017. "Disaggregating input–output tables in time: the temporal input–output framework," Economic Systems Research, Taylor & Francis Journals, vol. 29(3), pages 313-334, July.
    14. Federico Riccio & Lorenzo Cresti & Maria Enrica Virgillito, 2022. "The labour share along global value chains. Perspectives and evidence from sectoral interdependence," LEM Papers Series 2022/11, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    15. DUARTE, Rosa & JIMÉNEZ, Sofía & LANGARITA, Raquel & SÁNCHEZ-CHÓLIZ, Julio, 2015. "Evaluating the structural effects of a big cultural event: the case of the International Expo Zaragoza 2008," Regional and Sectoral Economic Studies, Euro-American Association of Economic Development, vol. 15(1), pages 65-80.
    16. repec:ilo:ilowps:464252 is not listed on IDEAS
    17. Luis Enrique Pedauga & Aray, Henry & Velazquez, Agustín, 2016. "A Financial Social Accounting Matrix for the Spanish Economy," EcoMod2016 9490, EcoMod.
    18. Andrea BONFIGLIO, 2005. "Analysing EU Accession Effects in Romania by a Multiregional I-O Model," Working Papers 226, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    19. Arne Geschke & Julien Ugon & Manfred Lenzen & Keiichiro Kanemoto & Daniel Dean Moran, 2019. "Balancing and reconciling large multi-regional input–output databases using parallel optimisation and high-performance computing," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 8(1), pages 1-24, December.
    20. Umed Temurshoev & Marcel P. Timmer, 2011. "Joint estimation of supply and use tables," Papers in Regional Science, Wiley Blackwell, vol. 90(4), pages 863-882, November.
    21. repec:dgr:rugggd:gd-116 is not listed on IDEAS
    22. Paweł Zając & Piotr Gurgul, 2012. "Forecasting of migration matrices in business demography," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(2), pages 387-404, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:ecsysr:v:20:y:2008:i:1:p:111-123. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CESR20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.