In this paper a new approach is developed to the analysis of stratified housing and employment systems which exhibit interdependencies between movers in the allocation process. Vacancy chain models, derived within a mathematical programming framework, are presented and their properties are compared both conceptually and numerically with standard models. The advantages of the new approach are illustrated in cases which require constraints to characterise the demand for or supply of stock.
Get full access to this article
View all access options for this article.
References
1.
AnasA, 1975, “The empirical calibration and testing of a simulation model of residential location”Environment and Planning A7899–920
2.
BacharachM O L, 1970Biproportional Matrices and Input — Output Change (Cambridge University Press, Cambridge)
3.
BartholomewD J, 1973Stochastic Models for Social Processes2nd edition (John Wiley, Chichester, Sussex)
4.
BartholomewD JForbesA F, 1976, “An introduction to statistical techniques of manpower planning” Course Note Series CM 15, Institute of Manpower Studies, University of Sussex, Brighton, Sussex
5.
BylerJ WGaleS, 1978, “Social accounts and planning for changes in urban housing markets”Environment and Planning A10247–266
6.
ChampernowneA FWilliamsH C W LCoelhoJ D, 1976, “Some comments on urban travel demand analysis, model calibration, and the economic evaluation of transport plans”Journal of Transport Economics and Policy10267–285
7.
CurryBThomasD R, 1978, “Guidelines for the allocation of building society lending”Urban Studies15179–186
8.
FeinbergS E, 1970, “An iterative procedure for estimation in contingency tables”Annals of Mathematical Statistics41907–917
9.
GleeveDPalmerD, 1978, “A deterministic representation of the dynamics of the labour market system based upon an accounts framework” working note 496, CES Ltd, 5 Tavistock Place, London WC1
10.
HarrisB, 1962, “Linear programming and the projection of land uses” paper number 20, Penn-Jersey Transportation Study, Philadelphia, PA
11.
HerbertD JStevensB H, 1960, “A model for the distribution of residential activity and urban areas”Journal of Regional Science221–36
12.
HolmPGustaffsonJ RHårsmanBSnickarsF, 1978, “Policy-oriented housing models—some tentative applications” in London Papers in Regional Science 8. Theory and Method in Urban and Regional Analysis (Pion, London) pp 150–167
13.
HuaC-I, 1972Modelling Housing Vacancy Transfer in the Study of Housing Sector Interaction unpublished PhD dissertation, Harvard University, Cambridge, MA
14.
IngramG KKainJ FGinnR J, 1972, “The Detroit prototype of the NBER urban simulation model”National Bureau of Economic Research, New York
15.
KainJ FApgarW CGinnR J, 1976, “Simulation of the market effects of housing allowances, volume 1: Description of the NBER urban simulation model”Department of City and Regional Planning, Harvard University, Cambridge, MA
16.
KullbackS, 1959Information Theory and Statistics (John Wiley, New York)
17.
LGORU, 1975, “Housing in Reading. Phase 3: The computer model” report C157C, Local Government Operational Research Unit, Reading
18.
MacgillS M, 1978Activity — Commodity Spatial Interaction Models and Related Applications unpublished PhD thesis, School of Geography, University of Leeds, Leeds
19.
MurchlandJ D, 1978, “Applications, history and properties of bi- and multi-proportional models” unpublished paper, London School of Economics, London
20.
MurieANinerPWatsonC, 1976Housing Policy and the Housing System. Urban and Regional Studies, Number 7 (George Allen and Unwin, Hemel Hempstead, Herts)
21.
PurkissC, 1976, “Manpower planning literature: Manpower planning”Department of Employment Gazettevolume 84, July (HMSO, London)
22.
SeniorM L, 1978Models of Urban Residential Location unpublished PhD thesis, School of Geography, University of Leeds, Leeds
23.
SmithA R (Ed.), 1977Civil Service Studies 3. Manpower Planning in the Civil Service (HMSO, London)
24.
SnickarsFWeibullJ W, 1977, “A minimum information principle: Theory and practice”Regional Science and Urban Economics7137–168
25.
WhiteH C, 1970Chains of Opportunity (Harvard University Press, Cambridge, MA)
26.
WhiteH C, 1971, “Multipliers, vacancy chains and filtering in housing”Journal of the American Institute of Planners37880–894
27.
WilliamsH C W LKeysPClarkeM, 1981, “Vacancy chain models for stratified housing and employment systems” WP 303, School of Geography, University of Leeds, Leeds
28.
WilliamsH C W LSeniorM L, 1978, “Accessibility, spatial interaction and the spatial benefit analysis of land use — transportation plans” in Spatial Interaction Theory and Planning Models Eds KarlqvistALundqvistLSnickarsFWeibullJ W (North-Holland, Amsterdam) pp 253–287
29.
WilsonA G, 1970Entropy Urban and Regional Modelling (Pion, London)
30.
WilsonA G, 1974Urban and Regional Models in Geography and Planning (John Wiley, Chichester, Sussex)
31.
WishartD, 1977, “Manpower supply models—III: The Kent model” in Civil Service Studies 3. Manpower Planning in the Civil Service (HMSO, London) chapter 8
32.
WolfeP, 1961, “A duality theorem for non-linear programming”Quarterly of Applied Mathematics19239–244
