We present a multidimensional generalization of the GRAS method (nD-GRAS) for the estimation of multiple matrices in an integrated framework. The potential applications of this method in regional and multi-regional input-output analyses based on national/regional accounts frameworks are many. We provide two real applications, a 3D-GRAS that estimates a use table at basic prices jointly with valuation matrices for Denmark; and a 4D-GRAS for estimating intercountry input-output tables with OECD data. We show that higher dimensional GRAS methods provide more consistent and accurate estimates than those with lower number of dimensions. We provide the analytical closed-form solution and the RAS-like algorithm for an easy operationalization.
VALDERAS JARAMILLO Juan Manuel;
RUEDA CANTUCHE Jose;
2021-12-13
WILEY
JRC125772
1056-8190 (online),
https://rsaiconnect.onlinelibrary.wiley.com/doi/epdf/10.1111/pirs.12625,
https://publications.jrc.ec.europa.eu/repository/handle/JRC125772,
10.1111/pirs.12625 (online),
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