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WP 6 Methodological research related to the database WP 6.4 Multiplier bias from Supply and Use Tables José M. Rueda-Cantuche (JRC-IPTS) Erik Dietzenbacher (RUG, NL) Esteban Fernández (University of Oviedo, ES) Antonio F. de Amores (Pablo de Olavide University, ES). Rationale.
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WP 6 Methodological research related to the database WP 6.4 Multiplier bias from Supply and Use Tables José M. Rueda-Cantuche (JRC-IPTS) Erik Dietzenbacher (RUG, NL) Esteban Fernández (University of Oviedo, ES) Antonio F. de Amores (Pablo de Olavide University, ES)
Following Dietzenbacher (2006): • Leontief inverse, L, plays a relevant role in inter-industry economics • L captures direct + indirect effects of an exogenous shock on industry/commodity output • L can also describes the inter-industry core of a CGE model
As far as, typically, L = (I – A)-1, it is subject to the many sources of measurements errors that are very well known for IOT, A and SUT. • Hence, it seems plausible assuming A stochastic, which leads to L is biased, with input coefficients: • totally independent(Simonovits, 1975) • biproportionally stochastic (Lahiri, 1983) • moment-associated (Flam and Thorlund-Petersen, 1985).
More recently, stochastics was alternatively imposed on the intermediate transactions of an input-output table rather than on its technical coefficients (e.g. Dietzenbacher, 2006). • The findings of these experiments turned out that the bias tends to be rather small and needs a large sample size to get significant relevance. • Complementary to Roland-Holst (1989).
This work however shifts the attention to supply and use tables, which really constitute the basic units of the elements of an input-output table and therefore, of the technical coefficients. • Six kind of multipliers discussed in the form of multiplier matrices • Supply-use based Monte Carlo experiment
Domestic supply and use table • B = input coefficient per unit of industry output • C = share of industry output stemming from producing one commodity • D = commodity output proportions (market shares)
M1 = Industry technology assumption for product by product tables M6 = Product technology assumption for product by product tables M2 = Fixed product sales structure for industry by industry tables M5 = Fixed industry sales structure for industry by industry tables M3 = DT· M1 (industry by product) M4 = C-1 · M6 (industry by product) M7 = D-T· M2 (product by industry) M8 = C· M5 (product by industry)
Empirical application for Spain (2006): Monte Carlo experiment • Data sources: SUT (basic prices), 59 ind. x 59 prod. (Eurostat and INE). • Two approaches: • Supply-side • Use-side
SUPPLY-SIDE APPROACH Randomization of V Randomization of u, f, h, w Reconciliation h, f, p RAS-based Solution
USE-SIDE APPROACH Randomization of V Randomization of u, f, h, w RAS-based Solution
ITMC X C FPSI X I ITMI X C PTMI X C FISI X I PTMC X C
CONCLUSIONS: • The absolute average values of the bias in all cases are not very significant and may probably be considered negligible as in Roland-Holst (1989) and Dietzenbacher (2006). • This is just an almost definite answer that deserves further research for a bigger number of iterations (say, 10,000); more countries and/or years and different levels of variability in the randomized supply and use values.
Thank you! http://ipts.jrc.ec.europa.eu