This paper starts by discussing the relationships between process and map structure and the nature of certain types of geographical spaces. There is then a discussion of urban population distributions, which are here classified as statistically nonhomogeneous. This leads to the use of different statistical techniques from those employed in the previous paper, and a simple example based on the Beckmann–McPherson model with the use of the SW Wisconsin data is presented.
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References
1.
BassettKHaggettP, 1971“Towards short term forecasting for cyclic behaviour in a regional system of cities” in Regional Forecasting Eds ChisholmMFreyAHaggettP, (Butterworths, London) pp 398–413
2.
BeckmannMMcPhersonJ C, 1970“City size distribution in a central place hierarchy: An alternative approach”Journal of Regional Science1025–34
3.
BrushJ E, 1953“The hierarchy of central places in South Western Wisconsin”Geographical Review43380–402
4.
BrushJ EBraceyH E, 1955“Rural service centers in South Western Wisconsin and Southern England”Geographical Review45559–569
GatrellA C, 1979“Autocorrelation in spaces”Environment and Planning A11507–516
8.
GrangerC W J, 1969“Spatial data and time series analysis” in London Papers in Regional Science 1: Studies in Regional Science Ed. ScottA J, (Pion, London) pp 1–24
9.
HaggettP, 1971“Leads and lags in inter-regional systems: A study of cyclic fluctuations in the SW economy”Spatial Policy Problems in the British Economy Eds ChisholmMMannersG, (Cambridge University Press, London) pp 69–95
10.
HainingR P, 1978“Interaction modelling on central place lattices”Journal of Regional Science18217–228
11.
HainingR P, 1980“Intra-regional estimation of central place population parameters”Journal of Regional Science20(3) 365–375
12.
HainingR P, 1981“Spatial interdependencies in population distributions: A study in univariate map analysis. 1 Rural population densities”Environment and Planning A1365–84
13.
MatérnB, 1960“Spatial variation”Meddelanden fran Statens Skogsforskningsinstitut491–44
14.
NystuenJ DDaceyM F, 1961“A graph theory interpretation of nodal regions”Papers, Regional Science Association729–42
15.
RaynerJ NGolledgeR G, 1972“Spectral analysis of settlement patterns in diverse physical and economic environments”Environment and Planning4347–371
16.
RaynerJ NGolledgeR G, 1973“The spectrum of US 40 re-examined”Geographical Analysis4338–350
17.
ToblerW R, 1969“The spectrum of US 40”Papers and Proceedings, Regional Science Association2345–52
18.
ViningR, 1954“A description of certain spatial aspects of an economic system”Economic Development and Cultural Change3147–195
19.
WhittleP, 1954“On stationary processes in the plane”Biometrika41434–449