Abstract
In the last decade, regional and interregional modeling hasbeen dominated by methods that have been characterized as either integrated or conjoined systems of models (to use West’s, 1995 distinction); these models have ranged from demographic-economic linked systems (see chapter 4 by Batey and Madden in this volume) to economy-wide models of a computable general equilibrium type (for example, the AMOS system developed by McGregor et al.,1996). While integrated models are not new to regional science (see the chapter “Channels of Synthesis” in Isard, 1960), their empirical implementation and widespread use is of relatively recent vintage.
“As is crystal clear, sound regional analysis is interdependence analysis” (Isard, 1960)
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References
Aitken, A.C. 1937. “Studies in practical mathematics, I. The evaluation, with applications, of a certain triple product matrix.” Proceedings of Royal Society, Edinburgh, 57, 172–181.
Banachiewicz, T. 1937. “Zum Berechung der Determinanten, wie auch der Inversen, and zur daraut basierten Auflosung der systeme linearer Gleichungen.” Acta Astronomica, Ser. C.3, pp. 41–67.
Batey, P.W.J. 1985. “Input-output models for regional demographic-economic analysis: some structural comparisons.” Environment and Planning A 17, 73–79
Batey, P.W.J., and M. Madden. 1981. “Demographic-economic forecasting within an ’ activity-commodity framework: some theoretical considerations and empirical results.” Environment and Planning A 13, 1067–83.
Batey, P.W.J., and M. Madden. 1983. “The modeling of demographic-economic change within the context of regional decline: analytical procedures and empirical results.” Socio-Economic Planning Sciences 17, 315–28.
Batey, P.W.J., M. Madden and M.J. Weeks. 1987. “Household income and expenditure in extended input-output models: a comparative theoretical and empirical analysis.” Journal of Regional Science 27, 341–356
Bullard, C.W., and A.V. Sebald. 1977. “Effects of parametric uncertainty and technological change in input-output models.” Review of Economics and Statistics 59, 75–81.
Bullard, C.W., and A.V. Sebald. 1988. “Monte Carlo sensitivity analysis of input-output models.” Review of Economics and Statistics 70, 705–12.
Duncan, W.J. 1944. “Some devices for the solution of large sets of simultaneous linear equations (with an appendix on the reciprocation of partitioned matrices.” The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science. Seventh series, 35, 660–670.
Faddeeva, V.N. 1959. Computational methods of Linear Algebra. (Authorized translation from the Russian by C.D. Benster.) Dover Publications, New York.
Gantmacher, F.G. 1959. The Theory of Matrices, Chelsea, New York.
Henderson, H.V. and S.R. Searle. 1981. “On deriving the inverse of a sum of matrices.” SIAM Review, 23, 53–60.
Hewings, G.J.D. and M. Madden. (eds.) 1995. Social and Demographic Accounting Cambridge, University Press.
Hotelling, H. 1943. “Some new methods in matrix calculation.” Annals of Mathematical Statistics, 14, 1–34.
Isard, W. 1960. Methods of Regional Analysis. Cambridge, MIT Press.
Jossa, F. 1940. “Resoluzione progressiva di un sistema di equazioni lineari, analogia con un problema meccanica.” Ricerche Accademia di Scienze Fisiche Matematiche, Societa Reale di Napoli, Ser. 4, (10), pp. 346–352.
McGregor, P.G., J.K. Swales and Y.P. Yin. 1996. “A long-run interpretation of regional input-output analysis.” Journal of Regional Science, 36, 479–500
Madden, M. 1985. “Demographic-economic analysis in a multi-zonal system: a case study of Nordrhein-Westfalia.” Regional Science and Urban Economics 15, 517–40.
Madden, M., and P.W.J. Batey. 1980. “Achieving consistency in demographic-economic forecasting.” Papers Regional Science Association 44, 91–106.
Madden, M., and P.W.J. Batey. 1983. “Linked population and economic models. some methodological issues in forecasting analysis and policy optimization.” Journal of Regional Science 23, 141–64.
Miller, R.E. 1966. “Interregional feedbacks in input-output models: some preliminary results.” Papers Regional Science Association 17, 105–25
Miller, R.E. 1969. “Interregional feedbacks in input-output models: some experimental results.” Western Economic Journal 7, 57–70.
Miyazawa, K. 1960. “Foreign trade multiplier, input-output analysis and the consumption function.” Quarterly Journal of Economics 74, 53–64.
Miyazawa, K. 1966. “Internal and external matrix multipliers in the input-output model.” Hitotsubashi Journal of Economics 7, 38–55.
Miyazawa, K. 1968. “Input-output analysis and interrelational multiplier as a matrix.” Hitotsubashi Journal of Economics 8, 39–58.
Miyazawa, K. 1971. “An analysis of the interdependence between service and goods-producing sectors.” Hitotsubashi Journal of Economics 12, 10–21.
Miyazawa, K. 1976. Input-Output Analysis and the Structure of Income Distribution, Heidelberg, Springer-Verlag.
Miyazawa, K. 1993. Private communication.
Ouellette, D.V. 1978. Schur complements and statistics. Unpublished M.Sc.Thesis, McGill University, Montreal.
Pyatt, G. and J.I. Round. 1979. “Accounting and fixed price multipliers in a social accounting matrix framework,” Economic Journal 89, 850–73.
Pyatt, G. and J.I. Round. 1985. (eds.) Social Accounting Matrices: A Basis for Planning. Washington, D.C., The World Bank.
Schur, I. 1917. “Uber Potenzreichen, die im Innern des Einheitskreises beschrankt sind.” J. Reine und Angew. Math, 147, pp. 205–232.
Sherman, J., and W.J. Morrison. 1949. “Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix.” Annals of Mathematical Statistics 20, 621.
Sherman, J. and W.J. Morrison. 1950. “Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix.” Annals of Mathematical Statistics, 21, 124–127.
Sohn, I. 1986. Readings in Input-Output Analysis. New York. Oxford University Press. Sonis, M. 1980. “Locational push-pull analysis of migration streams.” Geographical Analysis, 12, 80–97
Sonis, M., and G.J.D. Hewings. 1988. “Superposition and decomposition principles in hierarchical social accounting and input-output analysis.” In F. Harrigan and P.G. McGregor eds. Recent Advances in Regional Economic Modeling. London, Pion.
Sonis, M., and G.J.D. Hewings. 1989. “Error and sensitivity input-output analysis: a new approach.” In R.E. Miller, K.R. Polenske, and A.Z. Rose eds. Frontiers of Input-Output Analysis. New York, Oxford University Press.
Sonis, M., and G.J.D. Hewings, G.J.D. 1990. “The ‘Matrioshka’ principle in the hierarchical decomposition of multiregional social accounting systems.” In L. Anselin, and M.
Madden eds. New Directions in Regional Analysis: Integrated and Multiregional Approaches London, Pinter.
Sonis, M., and G.J.D. Hewings. 1991. “Fields of influence and extended input-output analysis: a theoretical account.” In J.J. LI. Dewhurst, G.J.D. Hewings and R.C. Jensen eds. Regional Input-Output Modeling: New Developments and Interpretations. Aldershot: Avebury.
Sonis, M., and G.J.D. Hewings. 1992. “Coefficient change in input-output models: theory and applications.” Economic Systems Research 4, 143–57.
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, 33–44
Sonis, M and G.J.D. Hewings. 1995. “Matrix sensitivity, error analysis and internal/external multiregional multipliers.” Hitotsubashi Journal of Economics 36, 6170.
Sonis, M., G.J.D. Hewings and J-K. Lee. 1994. “Interpreting spatial economic structure and spatial multipliers: three perspectives.” Geographical Analysis, 26, 124–151.
Sonis, M., G.J.D. Hewings and J. Guo. 1996. “Sources of structural change in input-output systems: a field of influence approach.” Economic Systems Research 8, 15–32.
Sonis, M, G.J.D. Hewings, and K. Miyazawa. 1997. “Synergetic interactions within the pair-wise hierarchy of economic linkages sub-systems.” Hitotsubashi Journal of Economics 38, 183–19938, 183–199
Stone, R. 1981. “The relationship of demographic accounts to national income and product accounts.” in Juster, F.T. and K.C. Land (eds.) Social Accounting Systems: Essays on the State of the Art. Academic Press, New York
Strassert, G. 1968. “Zur bestimmung strategischer sectoren milfe von input-output modellen.” Jahrbucher fur Nationalokonomie und Statistik, B, 182, 211–215.
West, G.R. 1995. “Comparison of input-output, input-output+econometric and computable general equilibrium models at the regional level.” Economic Systems Research, 7, 209227.
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Sonis, M., Hewings, G.J.D. (1999). Miyazawa’s Contributions to Understanding Economic Structure: Interpretation, Evaluation and Extensions. In: Hewings, G.J.D., Sonis, M., Madden, M., Kimura, Y. (eds) Understanding and Interpreting Economic Structure. Advances in Spatial Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03947-2_2
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