This paper examines the spatial properties of settlement patterns, using two-dimensional digital spectral analysis, in areas selected for diverse physical and economic environment. A comparison with Christaller geometry is made and discussed.
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References
1.
BartlettM. G., 1963, “The spectral analysis of point processes”, Journal of the Royal Statistical Society, Series B, 25, 264–296.
2.
BartlettM. G., 1964, “The spectral analysis of two-dimensional point processes”, Biometrika, 51, 299–311.
3.
BartlettM. G., 1971, “Some applications of multivariate point processes”, Stochastic Point Processes, to be published, Symposium at IBM Thomas J. Watson Research Center, Yorktown Heights, New York, August 2–6, 1971.
4.
BerryB. J. L.GarrisonW., 1958a, “The functional bases of central place hierarchy”, Economic Geography, 34, 145–154.
5.
BerryB. J. L.GarrisonW., 1958b, “A note on central place theory and the range of a good”, Economic Geography, 34, 304–311.
6.
BerryB. J. L.GarrisonW., 1958c, “Recent developments of central place theory”, Papers and Proceedings of the Regional Science Association, 4, 107–120.
7.
BerryB. J. L.PredA., 1961, Central Place Studies (Regional Science Research Institute, Philadelphia).
8.
ChapmanS.BartelsJ., 1940, “Periodicity and harmonic analysis”, Geomagnetism, 2, 543–603.
9.
ClarkW. A. V., 1969, “Information flows and intra-urban migration: An empirical analysis”, Proceedings of the Association of American Geographers, 1, 38–43.
10.
ClarkW. A. V.RushtonG.GolledgeR. G., 1970, “The spatial structure of the Iowa urban network”, Geographical Analysis, 2, 301–313.
11.
CurryL., 1964, “The random spatial economy: An exploration in settlement theory”, Annals of the Association of American Geographers, 54, 138–146.
12.
DaceyM. F., 1965, “The geometry of central place theory”, Geografiska Annaler, 47, 111–124.
13.
GolledgeR. G.RushtonG.ClarkW. A. V., 1966, “Some spatial characteristics of Iowa's dispersed farm population and their implications for the grouping of central place functions”, Economic Geography, 42, 261–272.
14.
HudsonJ. C., 1969, “A model of spatial relations”, University of Wisconsin, Madison, Wisconsin (mimeo).
15.
KingL. J., 1961, “A multivariate analysis of the spacing of urban settlements in the U.S.”, Annals of the Association of American Geographers, 51, 222–233.
16.
MedvedkovY., 1967, “Concept of entropy in settlement pattern analysis”, Papers of the Regional Science Association, 17, 165–168.
17.
Rand-McNally and Co., 1971, Commercial Atlas and Marketing Guide (Chicago).
18.
RaynerJ. N., 1971, An Introduction to Spectral Analysis (Pion, London).
19.
RaynerJ. N.McCaldenG., 1972, “Programs for two-dimensionsl spectral analysis”, Discussion Paper, number 27, Department of Geography, The Ohio State University, Columbus, Ohio.
20.
RaynerJ. N.GolledgeR. G.CollinsS., 1971, “Spectral analysis of settlement patterns in diverse physical and economic environments”, Paper, Departments of Geography and Electrical Engineering, The Ohio State University, Columbus, Ohio.
21.
RaynerJ. N.GolledgeR. G., 1972, “The spectrum of U.S. 40 re-examined”, unpublished manuscript, Department of Geography, The Ohio State University, Columbus, Ohio.
22.
RushtonG., 1969, “Temporal changes in space preference structures”, Proceedings of the Association of American Geographers, 1, 129–132.
23.
TukeyJ. W., 1949, “The sampling theory of power spectrum estimates”, Symposium on Applications of Auto-Correlation Analysis to Physical Problems (Office of Naval Research, Woods Hole, NAVEX-P-735), pp. 47–67.
24.
TukeyJ. W., 1967, “Spectrum calculations in the new world of the fast Fourier transform”, Advanced Seminar on Spectral Analysis of Time Series, Ed. HarrisB. (John Wiley, New York), pp. 25–46.