The multidimensional nD-GRAS method: Applications for the projection of multiregional input–output frameworks and valuation matrices

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 pro...

ver descrição completa

Detalhes bibliográficos
Autores: Valderas Jaramillo, Juan Manuel, Rueda Cantuche, José Manuel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/135897
Acesso em linha:https://hdl.handle.net/11441/135897
https://doi.org/10.1111/pirs.12625
Access Level:acceso abierto
Palavra-chave:GRAS
Multidimensional balancing and projections
Multiregional Input-Output analysis
Valuation matrices
Iterative proportional fitting procedure
Descrição
Resumo: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.