This paper discusses some problems involved in the practical application of mathematical urban models. With reference to some recent applications of a spatial-interaction allocation model, the paper considers questions of dimensionality, separation of variables, system identification, and simple structure principles.
Get full access to this article
View all access options for this article.
References
1.
AlexanderC., 1964, Notes on the Synthesis of Form (Harvard University Press, Cambridge, Mass.).
2.
BattyM., 1969, “The impact of a new town—an application of the Garin-Lowry model”, Journal of the Town Planning Institute, 55, 428.
3.
BattyM., 1970, “Some problems of calibrating the Lowry model”, Environment and Planning, 2, 95–114.
4.
BroadbentT. A., 1970, “An activity analysis framework for urban planning”, CES-WP-61, Centre for Environmental Studies, London.
5.
Cordey-HayesM.MasseyDoreen B. (Eds.), BarrasR.BroadbentT. A.RobinsonD.WillisJ., 1970, “An operational urban development model of Cheshire”, CES-WP-64, Centre for Environmental Studies, London.
6.
Cordey-HayesM.WilsonA. G., 1970, “Spatial interaction”, Socio-Economic Sciences, in the press.
7.
CrippsE. L.FootD. H. S., 1969, “The empirical development of an elementary residential location model for use in sub-regional planning”, Environment and Planning, 1, 81–90.
8.
EcheniqueM.CrowtherD.LindsayW., 1969, “Development of a model of a town”, University of Cambridge School of Architecture, Land Use and Built Form Studies, Working paper number 26.
9.
EilonS.TilleyR. P. R.FowkesT. R., 1969, “Analysis of a gravity demand model”, Regional Studies, 3, 115–122.
10.
HarveyD., 1969, Explanation in Geography (Edward Arnold, London).
11.
HymanG., 1969, “The calibration of trip distribution models”, CES-WP-31, Centre for Environmental Studies, London.
12.
LowryI. S., 1964, “A model of metropolis”, Rand Corporation, RM 14035-RC, mimeo.
13.
LowryI. S., 1965, “A short course in model design”, Journal of the American Institute of Planners, 31, 158–165.
14.
Ministry of Transport, 1966, “Reasons for the Minister's decision not to build a new port at Portbury”, (HMSO, London).
15.
SeidmanD. R., 1967, “The construction of an urban growth model”, Delaware Valley Regional Planning Commission, Report number 1, Technical supplement volume A.
16.
ShannonC.WeaverW., 1949, The Mathematical Theory of Communication (University of Illinois Press, Urbana).
17.
WilsonA. G., 1969a, “Developments of some elementary residential location models”, CES-WP-22, Centre for Environmental Studies, London.
18.
WilsonA. G., 1969b, “Entropy”, CES-WP-26, Centre for Environmental Studies, London.
