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A general weighted least squares approach for the projection of input–output tables

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  • Aurélien Poissonnier

Abstract

In the context of input–output analysis, it is often necessary to update a matrix for a date when only the sum of its columns and rows are known. This projection problem is quite similar to temporal disaggregation. I borrow from this literature a class of solutions for which the exact result can be implemented without iteration. These solutions minimize the adjustment made to the out-of-date matrix and as such can be said optimal according to a chosen criteria. The framework I expose is flexible enough to encompass many of the existing methods and develop new ones. I propose one of such methods to project a matrix between two given benchmarks. I exemplify the technique on 35 years of input–output tables for France and show in particular that the issue of negative cells can be avoided.

Suggested Citation

  • Aurélien Poissonnier, 2017. "A general weighted least squares approach for the projection of input–output tables," Economic Systems Research, Taylor & Francis Journals, vol. 29(4), pages 557-565, October.
  • Handle: RePEc:taf:ecsysr:v:29:y:2017:i:4:p:557-565
    DOI: 10.1080/09535314.2017.1304360
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