ABSTRACT

We present an extension of the generalized RAS (GRAS) technique to a multi-regional (MR) or multi-national setting. The framework is applicable to updating/regionalizing/balancing any partitioned matrix that needs to conform to new row sums, column sums and additional non-overlapping aggregation constraints. The technique, which we refer to as MR-GRAS, also handles non-exhaustive constraints, in which case the missing values are endogenously generated in the updating process. We derive the closed-form solution of MR-GRAS, propose a simple iterative algorithm for its computation, and discuss the main analytical properties of the method as well as the normalization and interpretation of MR-GRAS multipliers. From a wide range of possible MR-GRAS applications, several updating frameworks of national and interregional supply and use tables are examined.

摘要

我们将广义 RAS (GRAS) 技术扩展到多区域 (MR) 或跨国环境。该框架适用于更新/区域化/平衡任何需要符合新行总和、列总和和附加非重叠聚合约束的分区矩阵。我们称之为 MR-GRAS 的技术也处理非穷举性约束，在这种情况下，缺失值是在更新过程中内生生成的。我们推导出了 MR-GRAS 的闭式解，提出了一个简单的迭代算法来计算它，并讨论了该方法的主要分析性质以及 MR-GRAS 乘子的归一化和解释。从范围广泛的可能的 MR-GRAS 应用程序中，检查了国家和区域间供应和使用表的几个更新框架。