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Some Comments on the GRAS Method

Author

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  • Manfred Lenzen
  • Richard Wood
  • Blanca Gallego

Abstract

Junius and Oosterhaven (2003) present a RAS matrix balancing variant that can incorporate negative elements in the balancing. There are, however, a couple of issues in the approach described - the first being the handling of zeros in the initial estimate, and the second being the formulation of their minimum-information principle. We present a corrected exposition of GRAS.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:ecsysr:v:19:y:2007:i:4:p:461-465
    DOI: 10.1080/09535310701698613
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Wiedmann, Thomas, 2009. "A review of recent multi-region input-output models used for consumption-based emission and resource accounting," Ecological Economics, Elsevier, vol. 69(2), pages 211-222, December.
    4. M. Alejandro Cardenete & M. Carmen Delgado & Patricia D. Fuentes & M. Carmen Lima & Alfredo J. Mainar & Jose M. Rueda-Cantuche & Sébastien Mary & Fabien Santini & Sergio Gomez y Paloma, 2015. "Rural-urban social accounting matrixes for modelling the impact of rural development policies in the EU," JRC Research Reports JRC94394, Joint Research Centre.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Luis Enrique Pedauga & Aray, Henry & Velazquez, Agustín, 2016. "A Financial Social Accounting Matrix for the Spanish Economy," EcoMod2016 9490, EcoMod.
    10. 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.
    11. Federico Riccio & Giovanni Dosi & Maria Enrica Virgillito, 2023. "Smile without a reason why: functional specialisation and income distribution along global value chains," LEM Papers Series 2023/31, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    12. Vladimir Motorin, 2017. "Enhancing the distance minimization methods of matrix updating within a homothetic paradigm," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 6(1), pages 1-22, December.
    13. Umed Temursho, 2018. "Entropy‐based benchmarking methods," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 421-446, November.
    14. 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.
    15. Liu, Lirong & Huang, Guohe & Baetz, Brian & Guan, Yuru & Zhang, Kaiqiang, 2020. "Multi-Dimensional Hypothetical Fuzzy Risk Simulation model for Greenhouse Gas mitigation policy development," Applied Energy, Elsevier, vol. 261(C).
    16. Bolea, Lucía & Duarte, Rosa & Hewings, Geoffrey J.D. & Sánchez-Chóliz, Julio, 2021. "Disintegration scenarios in the European Union: A case study of Eastern European economies," Economic Modelling, Elsevier, vol. 95(C), pages 1-12.
    17. Andre Lemelin, 2009. "A Gras Variant Solving For Minimum Information Loss," Economic Systems Research, Taylor & Francis Journals, vol. 21(4), pages 399-408.
    18. Casiano A. Manrique-de-Lara-Peñate & Dolores R. Santos-Peñate, 2017. "SAM updating using multi-objective optimization techniques," Papers in Regional Science, Wiley Blackwell, vol. 96(3), pages 647-667, August.
    19. Schwärzler, Marion Cornelia & Kronenberg, Tobias, 2017. "Methodology of the Multiregional Health Account for Germany - An Iterative Algorithm-Based Multiregionalization Approach of Supply and Use Tables with Emphasis on Health," MPRA Paper 80712, University Library of Munich, Germany.
    20. Kayoko Shironitta & Shunsuke Okamoto & Shigemi Kagawa, 2019. "Cross-country analysis of relationship between material input structures and consumption-based CO2 emissions," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 21(4), pages 533-554, October.
    21. Rosa Duarte & Vicente Pinilla & Ana Serrano, 2018. "Income, Economic Structure and Trade: Impacts on Recent Water Use Trends in the European Union," Sustainability, MDPI, vol. 10(1), pages 1-13, January.
    22. Duarte, Rosa & Langarita, Raquel & Sánchez-Chóliz, Julio, 2017. "The electricity industry in Spain: A structural analysis using a disaggregated input-output model," Energy, Elsevier, vol. 141(C), pages 2640-2651.
    23. 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.
    24. 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.

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