A method is described for obtaining zonal based trip and cost data that characterise a hypothetical K = 3 Christaller landscape. These data provide the basis for numerical investigations of the relationships between central place theory and spatial interaction models.
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References
1.
BeavonK S O, 1977Central Place Theory: A Reinterpretation (Longman, Harlow, Essex)
2.
BeckmannM J, 1975, “On the economic structure of strictly hierarchical central place systems”Environment and Planning A7815–820
BerryB J LPredA, 1961, “Central place studies: a bibliography of theory and applications”, Bibliography Series number 1, Regional Science Research Institute, Philadelphia, PA
5.
ChapinS FJrKaiserE J, 1979Hypothetical City Exercises (University of Illinois Press, Urbana, IL)
6.
ChristallerW, 1933Zentralen Orte in Süddeutschland (Gustav Fischer, Jena)
7.
ChristallerW, 1933 (translated 1966) Central Places in Southern Germany translated by BaskinC W (Prentice-Hall, Englewood Cliffs, NJ)
8.
ClarkMWilsonA G, 1983, “Exploring the dynamics of urban housing structure: a 56 parameter residential location and housing market model”, mimeo, paper presented at European Congress of the Regional Science Association, Poitier, School of Geography, University of Leeds, Leeds
9.
HansenN M, 1975, “An evaluation of growth-center theory and practice”Environment and Planning A7821–832
10.
OpenshawS, 1975Some Theoretical and Applied Aspects of Spatial Interaction Shopping Models CATMOG 4 (Geo Abstracts, Norwich)
11.
OpenshawS, 1977, “Optimal zoning systems for spatial interaction models”Environment and Planning A9169–184
12.
ParrJ BDenikeK G, 1970, “theoretical problems in central place analysis”Economic Geography46568–586
13.
ReillyW J, 1931The Law of Retail Gravitation (Knickerbocker Press, New York)
14.
RhodesTWhitakerR, 1967, “Forecasting shopping demand”Journal of the RTPI May 188–192
15.
VenerisY, 1980Spatial Models of Retailingunpublished PhD thesis, Department of Architecture, University of Thessalonika, Thessalonika
16.
VenerisY, 1984Informational Revolution, Cybernetics and Urban Modellingunpublished PhD thesis, Department of Town and Country Planning, University of Newcastle upon Tyne, Newcastle upon Tyne
17.
WilsonA G, 1974Urban and Regional Models in Geography and Planning (John Wiley, Chichester, Sussex)
18.
WilsonA G, 1976, “Towards models of the evolution and genesis of urban structure”, WP 166, School of Geography, University of Leeds, Leeds
19.
WilsonA G, 1977, “Spatial interaction and settlement structure: towards an explicit central place theory”, WP 200, School of Geography, University of Leeds, Leeds
20.
WilsonA G, 1981aCatastrophy Theory and Bifurcation; Application to Urban and Regional Systems (Croom Helm, London)
21.
WilsonA G, 1981bGeography and the Environment (John Wiley, Chichester, Sussex)
22.
WilsonA GSeniorM L, 1974, “Some relationships between entropy maximising models, mathematical programming models and their duals”Journal of Regional Science14205–215