Guilhoto, Joaquim José Martins and Sonis, Michael and Hewings, Geoffrey J.D. (1999): Multiplier product matrix analysis for interregional input-output systems: an application to the Brazilian economy.
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Abstract
In this paper, using a set of interregional input-output tables built by the authors for the year of 1992 for 2 Brazilian regions (Northeast and rest of the economy), attention is focused on a new approach to the interpretation of Miyazawa’s concepts of left and right multipliers in the decomposition of interregional input-output systems. Using the technique of the multiplier product matrix (Sonis et al., 1997) and Sonis and Hewings (1999), the hierarchical decomposition proposed exploits the insights offered by the fields of influence theory and provides a way of interpreting Miyazawa’s left and right multipliers in terms of interregional feedback loops. When this technique is applied to an interregional system for 2 Brazilian regions (Northeast and the Rest of Brazil) the results shows that: (a) the Rest of Brazil region seems to be more developed and has a more complex productive structure than the Northeast region; (b) the inputs that the Northeast region buys from the Rest of Brazil region practically make no contribution to the total linkages in either of the regions; and (c) when isolated from the whole economy system, there is little contribution from the Northeast region to the linkages of the Rest of Brazil region, and vice-versa. Extension of this work could be considered in two directions, namely, providing sectoral detail and extending this approach to the n region case.
Item Type: | MPRA Paper |
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Original Title: | Multiplier product matrix analysis for interregional input-output systems: an application to the Brazilian economy |
English Title: | Multiplier product matrix analysis for interregional input-output systems: an application to the Brazilian economy |
Language: | English |
Keywords: | Input-output, multiplier, Brazil |
Subjects: | D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D57 - Input-Output Tables and Analysis R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R15 - Econometric and Input-Output Models ; Other Models |
Item ID: | 54671 |
Depositing User: | Joaquim José Martins Guilhoto |
Date Deposited: | 24 Mar 2014 11:57 |
Last Modified: | 28 Sep 2019 09:53 |
References: | Banachiewicz, T., (1937), "Zum Berechung der Determinanten, wie auch der Inversen, und zur daraut basierten Auflosung der systeme linearer Gleichungen," Acta Astronomica, Ser. C.3, pp. 41-67. Guilhoto, J.J.M. (1999) “Decomposition and synergy: a study of the interactions and dependence among five Brazilian macro regions,” unpublished paper presented at the 39th European Congress of the Regional Science Association International, Dublin, Ireland. Guilhoto, J.J.M. (1998). “Análise Inter e Intra-Regional das Estruturas Produtivas das Economias do Nordeste e do Resto do Brasil: 1985 e 1992 Comparados”. Departamento de Economia, Administração e Sociologia - ESALQ - USP, Mimeo. Guilhoto, J.J.M., G.J.D. Hewings, and M.Sonis (1999). “Productive Relations in the Northeast and the Rest of Brazil Regions in 1992: Decomposition & Synergy in Input-Output Systems”. Anais do XXVII Encontro Nacional de Economia, Belém, Pará, 7 a 10 de dezembro de 1999. Hirschman, A. (1958), The Strategy of Economic Development, New Haven, Yale University Press. Miyazawa, K., (1966), "Internal and external matrix multipliers in the Input-Output model." Hitotsubashi Journal of Economics 7 (1) pp. 38-55. Miyazawa, K. (1971), "An analysis of the interdependence between service and goods-producing sectors." Hitotsubashi Journal of Economics 12, pp. 10-21 Miyazawa, K. (1976), Input-Output Analysis and the Structure of Income Distribution, Heidelberg, Springer-Verlag. Rasmussen, P. (1956), Studies in Inter-Sectoral Relations, Copenhagen, Einar Harks. Schur, I., (1917), "Uber Potenzreichen, die im Innern des Einheitskreises beschrankt sind," J. Reine und Angew. Math. 147, pp. 205-232. Sonis, M., and G.J.D. Hewings (1993), "Hierarchies of Regional Sub-Structures and their Multipliers within Input-Output Systems: Miyazawa Revisited," Hitotsubashi Journal of Economics 34, pp. 33-44. Sonis, M., and G.J.D. Hewings (1999), "Economic Landscapes: Multiplier Product Matrix Analysis for Multiregional Input-Output Systems," Hitotsubashi Journal of Economics 40(1), pp. 59-74. Sonis, Michael, G.J.D. Hewings and E.A. Haddad, (1996), “A typology of propagation of changes on the structure of a multiregional economic system: the case of the European Union, 1975-1985,” Annals of Regional Science 30, pp. 391-408. Sonis, M., G.J.D. Hewings, and J. Guo. (1997), “Input-output multiplier product matrix.” Discussion Paper 94-T-12 (revised, 1997), Regional Economics Applications Laboratory, University of Illinois. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/54671 |