A NOTE ON THE GRAS METHOD |
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| Authors: | Umed Temurshoev Ronald E Miller Maaike C Bouwmeester |
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| Institution: | 1. European Commission, Joint Research Centre , Institute for Prospective Technological Studies , Seville , Spain;2. Regional Science Program (emeritus) , University of Pennsylvania , Philadelphia , Pennsylvania , USA;3. Faculty of Economics and Business , University of Groningen , The Netherlands |
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| 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. |
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| Keywords: | Matrix balancing GRAS |
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