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A Note On The Gras Method

Author

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  • Umed Temurshoev
  • Ronald E. Miller
  • Maaike C. Bouwmeester

Abstract

The GRAS method as presented by Junius and Oosterhaven [Junius, T. and J. Oosterhaven (2003) The Solution of Updating or Regionalizing a Matrix with Both Positive and Negative Elements. Economic Systems Research , 15, 87-96] assumes that every row and every column of a matrix to be balanced has at least one positive element. This might not necessarily be true in practice, in particular, when dealing with large-scale input-ouput tables, supply and use tables, social accounting matrices, or, for that matter, any other matrix. In this short note we relax this assumption and make available our MATLAB program for anyone interested in matrix GRASing. The same issue arises in the presentations of the KRAS method [Lenzen, M., B. Gallego and R. Wood (2009) Matrix Balancing Under Conflicting Information. Economic Systems Research , 21, 23-44] and the SUT-RAS method [Temurshoev, U. and M.P. Timmer (2011) Joint Estimation of Supply and Use Tables. Papers in Regional Science , 90, 863-882], which should be accordingly accounted for in their empirical applications.

Suggested Citation

  • Umed Temurshoev & Ronald E. Miller & Maaike C. Bouwmeester, 2013. "A Note On The Gras Method," Economic Systems Research, Taylor & Francis Journals, vol. 25(3), pages 361-367, September.
    • Handle: RePEc:taf:ecsysr:v:25:y:2013:i:3:p:361-367
    DOI: 10.1080/09535314.2012.746645
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    Cited by:

    1. Gerardo Ferrara & Sam Langfield & Zijun Liu & Tomohiro Ota, 2019. "Systemic illiquidity in the interbank network," Quantitative Finance, Taylor & Francis Journals, vol. 19(11), pages 1779-1795, November.
    2. Axel Gandy & Luitgard A. M. Veraart, 2017. "A Bayesian Methodology for Systemic Risk Assessment in Financial Networks," Management Science, INFORMS, vol. 63(12), pages 4428-4446, December.
    3. Coleman, Charles, 2016. "A SAS® Macro for the Generalized RAS Algorithm," MPRA Paper 77651, University Library of Munich, Germany, revised 19 Mar 2017.
    4. Fabio Monsalve & Mateo Ortiz & María-Ángeles Cadarso & Enrique Gilles & Jorge Zafrilla & Luis-Antonio López, 2020. "Nesting a city input–output table in a multiregional framework: a case example with the city of Bogota," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 9(1), pages 1-24, December.
    5. Nora Albu, 2018. "Lohnstückkosten des deutschen Verarbeitenden Gewerbes: inländische und globale Verflechtungen," IMK Studies 63-2018, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.
    6. 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.
    7. Yunsheng Xie & Peng Wang & Yi Dou & Lei Yang & Songyan Ren & Daiqing Zhao, 2022. "Assessment on the Cost Synergies and Impacts among Measures on Energy Conservation, Decarbonization, and Air Pollutant Reductions Using an MCEE Model: A Case of Guangzhou, China," Energies, MDPI, vol. 15(4), pages 1-22, February.
    8. 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.
    9. Umed Temurshoev & Fréderic Lantz, 2016. "Long-term petroleum product supply analysis through a robust modelling approach," Working Papers 2016-003, Universidad Loyola Andalucía, Department of Economics.
    10. 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.
    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. 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.
    13. Jendrzejewski, Błażej, 2020. "Bioeconomic modelling – An application of environmentally adjusted economic accounts and the computable general equilibrium model," Land Use Policy, Elsevier, vol. 92(C).
    14. Umed Temursho, 2018. "Entropy‐based benchmarking methods," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 421-446, November.
    15. Kurt Kratena & Gerhard Streicher & Umed Temurshoev & Antonio F. Amores & Iñaki Arto & Ignazio Mongelli & Frederik Neuwahl & José-Manuel Rueda-Cantuche & Valeria Andreoni, 2013. "FIDELIO 1: Fully Interregional Dynamic Econometric Long-term Input-Output Model for the EU 27," WIFO Studies, WIFO, number 46816.
    16. 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.
    17. López, Xesús Pereira & de la Torre Cuevas, Fernando, 2023. "An alternative for tracing the path between supply and use tables in current and constant prices," Structural Change and Economic Dynamics, Elsevier, vol. 67(C), pages 293-302.
    18. 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.
    19. 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.
    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. Gupta, Ruchi & Guibentif, Thomas M.M. & Friedl, Markus & Parra, David & Patel, Martin Kumar, 2023. "Macroeconomic analysis of a new green hydrogen industry using Input-Output analysis: The case of Switzerland," Energy Policy, Elsevier, vol. 183(C).
    22. 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.
    23. Osorio, Pilar & Tobarra, María-Ángeles & Tomás, Manuel, 2024. "Are there gender differences in household carbon footprints? Evidence from Spain," Ecological Economics, Elsevier, vol. 219(C).

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