Table 8 Cells to be updated, row controls, and column controls.

From: An interprovincial input–output database distinguishing firm ownership in China from 1997 to 2017

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  1. (1) Cells in the orange-shaded area are initial estimates of the intermediate transaction matrix, import matrix, and final-use matrix; (2) Cells in the blue- and green-shaded areas are column controls and row controls, respectively; (3) i’ is a row vector with all entries equaling 1; (4) fr and fs are the total final use (final consumption and capital formation) of provinces r and s for domestic products, computed from the IPIO tables; (5) m is a column vector of total intermediate imports by industries, computed from the IPIO tables.
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