L. Demesnard, A BIPROPORTIONAL FILTER TO COMPARE TECHNICAL AND ALLOCATION COEFFICIENT VARIATIONS, Journal of regional science, 37(4), 1997, pp. 541-564
In input-output analysis there are two alternate possibilities between
Leontief's mechanism (fixed technical coefficients) and Ghosh's mecha
nism (fixed allocation coefficients). Testing the long-term consistenc
y of these mechanisms entails comparing input-output matrices over tim
e. This paper challenges the value of proportional filters (separate c
omparisons of column and row coefficients) and introduces the bipropor
tional filter that allows simultaneous comparison of column and rows.
An application is proposed using French input-output tables for 1980 a
nd 1993. The stability of column coefficients cannot be taken for gran
ted and, generally, for any sector, both row and column coefficients a
re found to change simultaneously.