NOTE ON THE DECOMPOSITION BY FACTORS IN DIRECT AND INDIRECT REQUIREMENTS
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The decomposition by factors in direct and indirect requirements was introduced by Gim and Kim (2005). More specifically, the notion of direct and indirect input requirements of commodity to produce a unit of gross output of commodity f, [ ], can be decomposed into the direct, the technical indirect effects, and that to support a unit of final demand of commodity f, [ ], can be decomposed into the direct, the technical indirect, and the interrelated indirect effects in the open static input-output model. This note provides a complementation of the decomposition, which is based on more accurate and consecutively meaningful general relation given by [ ]=[ ](or [ ]) and [ ] (or [ ]) for [ ], where the element of the Leontief inverse [ ] represents the direct and indirect output requirements to support a unit of final demand.
Abstract
The decomposition by factors in direct and indirect requirements was introduced by Gim and Kim (2005). More specifically, the notion of direct and indirect input requirements of commodity to produce a unit of gross output of commodity f, [ ], can be decomposed into the direct, the technical indirect effects, and that to support a unit of final demand of commodity f, [ ], can be decomposed into the direct, the technical indirect, and the interrelated indirect effects in the open static input-output model. This note provides a complementation of the decomposition, which is based on more accurate and consecutively meaningful general relation given by [ ]=[ ](or [ ]) and [ ] (or [ ]) for [ ], where the element of the Leontief inverse [ ] represents the direct and indirect output requirements to support a unit of final demand.
참고문헌 (9)
- Dietzenbacher, E., "More on Multipliers", Journal of Regional Science, 45(2), pp.421~426 (2005)
- Gim, H.U., "The General Relation between Two Different Notions of Direct and Indirect Input Requirements", Journal of Macroeconomics, 20(1), pp.199~208 (1998)
- Gim, H.U., "The Decomposition by Factors in Direct and Indirect Requirements: with Applications to Estimating the Pollution Generation", The Korean Economic Review, 21(2), pp.309~325 (2005)
- Gim, H.U., "A study on the Building of a New ‘Output-Output Model’ and Its Usefulness: Based on a Comparative Analysis of the Input-Output Model" (2008), The Annals of Regional Science
- Leontief, W.W., "Environmental Repercussions and the Economic Structure: An Input-output Approach", The Review of Economics and Statistics, 52, pp.262~271 (1970)
- de Mesnard, L., "Note about the Concept of Net Multipliers", Journal of Regional Science, 42(3), pp.545~548 (2002)
- Miller, R.E., "Input-Output Analysis: Foundations and Extensions" (1985), Prentice Hall
- Oosterhaven, J., "Net Multipliers Avoid Exaggerating Impacts: With a Bi-regional Illustration for the Dutch Transportation Sector", Journal of Regional Science, 42(3), pp.533~543 (2002)
- Waugh, F.V., "Inversion of the Leontief Matrix by Power Series", Econometrica, 18, pp.142~154 (1950)