Input-output model aggregation method

Kulyk М.M., Academician of the National Academy of Sciences of Ukraine, Dr. Sci. (Eng.), Professor
Institute of General Energy of the National Academy of Sciences of Ukraine, 172 Antonovycha St., Kyiv, 03680, Ukraine
Language: Ukrainian
Source: Problemy zahal`noi enerhetyky - The Problems of General Energy, 2016, 1(44):5-9
https://doi.org/10.15407/pge2016.01.005
Section: Systemic studies and complex problems of the energy sector
UDC: 622.324
Received: 06.04.2016
Published: 13.04.2016
Abstract: The aggregation method is proposed for input-output statistical tables (intermediate consumption matrix and vectors of final consumption, production, gross domestic product (value added), overall costs) to reduce their dimension to be suitable for studies on medium-term and long-term forecast. The method does not impose constraints on a substantive nature of the tables and ensures their transformation without the loss of accuracy. When forming the aggregated mathematical input-output balance models, first of all, it is necessary to aggregate the intermediate consumption matrix in monetary form and after that transform it into the dimensionless matrix of direct costs through relevant valuation with subsequent well-known operations.
Keywords: matrix, vector, intermediate consumption, final consumption, gross domestic product, costs, production.
References:
1. Leontyev, V et al. (1958). Issledovaniye struktury amerikanskoy ekonimiki [U.S. Economy Structure Study]. Moscow: Gosudarstvennoye statisticheskoye izdatelstvo [in Russian].
2. Karter, А. (1974). Strukturnye izmeneniya v ekonomike SShA [Structural Changes in the U.S. Economy]. Moscow: Statistika [in Russian].
3. Kuboniva, M. et al. (1991). Matematicheskaya ekonomika na personalnom kompyutere [Mathematical Economy on Personal Computer]. Moscow: Finansy i statistika [in Russian].
4. Statistychnyi shchorichnyk Ukrayiny za 2013 rik [Ukraine's Statistical Yearbook for 2013]. Kyiv: State Statistic Service of Ukraine [in Ukrainian].
5. Natsionalni rakhunky Ukrayiny za 2014 rik: statistychnyi zbirnyk [Ukraine National Accounts for 2014: statistics digest]. State Statistic Service of Ukraine: www ukrstat.gov.ua [in Ukrainian].