The 118 basic equations of Forrester's urban dynamics model are analysed by forming them into qualitative structural matrices. It is concluded that the endogenous dynamics of the system are determined by only 42 of the 118 stock variables, thus enabling the majority of the equations to be discarded. In the urban dynamics model, city growth behaviour is found to depend essentially upon an attractiveness-mobility base which conditions labour and unemployment change rates and these in turn influence change rates in housing and management and finally new and mature business growth rates.
Get full access to this article
View all access options for this article.
References
1.
De Biolley, T., et Paelinck, J.H.P. (1970). Un modele dynamique pour l'économie belge; simulation et optimisation, in Optimation et Simulation de Macrodécisions. Namur: Faculte des Sciences Economiques, pp. 221-275.
2.
Forrester, J.W. (1968). Principles of Systems. Cambridge, Massachusetts: Wright-Allen Press Inc.
3.
Forrester, J.W. (1969). Urban Dynamics. Cambridge, Massachusetts: The M.I.T. Press.
4.
Giessen, A. A. Van Der (1970). Solving non-linear systems by computer: a new method. Statistica Neerlandica, Vol. 24, No. 1, pp. 41-50.
5.
Jaumotte, CH, et Paelinck, J. (1969). Un modele de simulation dynamique pour une region urbaine, Recherches Economiques de Louvain, No. 5, pp. 371-400.
6.
Kaufman, A. (1977). Introduction à la théorie des sousensembles flous, Tome I, Elements theoriques de base, 2nd edition. Paris: Masson.
7.
Kuenne, R.E. (1963). The Theory of General Economic Equilibrium, Princeton: University Press.
8.
Nikaido, H. (1970). Introduction to Sets and Mappings in Modern Economics . Amsterdam: North Holland Publishing Company.
9.
Paelinck, J. (1970). Dynamic urban growth models. Papers of theRegional Science Association, Vol. XXIV, pp. 25-37.
Paelinck, J.H.P., and Nijkamp, P. (1975). Operational Theory and Method in Regional Economics . Farnborough: Saxon House.
12.
Pugh, A.L., III (1972). Dynamo II User's Manual, 4th edition. Cambridge, Massachusetts: The M.I.T. Press.
13.
Steward, D.V. (1962). On an approach to techniques for the analysis of the structure of large systems of equations. Siam Review , Vol. 4, No. 4, pp. 321-342.
14.
Steward, D.V. (1965). Partitioning and tearing systems of equations . Siam Journal on Numerical Analysis, Series B, Vol. 2, No. 2, pp. 345-365.
15.
Varii Auctores (1966). Etude Comparée des Tableaux d'Entrées et de Sorties des Communautés Européenes. Namur: Faculte des Sciences Economiques.
