The role of descriptive measures of map pattern for lattice distributions and point processes and the usefulness of proceeding beyond these measures to the construction of statistical models of the data is discussed. For certain problems of estimation, forecasting, and equilibrium process modelling, it is argued that model building does add to an interpretation of map structure.
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References
1.
AgterbergF P, 1970“Autocorrelation functions in geology” in Geostatistics: A Colloquium Ed. MerriamD F (Plenum, New York), pp 113–141
2.
BartlettM S, 1975The Statistical Analysis of Spatial Pattern (Chapman and Hall, Andover, Hants)
3.
BesagJ E, 1972“On the correlation structure of some two dimensional stationary processes”Biometrika5943–48
4.
BesagJ E, 1974“Spatial interaction and the statistical analysis of lattice systems”Journal of the Royal Statistical Society B36192–236
5.
BesagJ E, 1975“Statistical analysis of non-lattice data”The Statistician24179–195
6.
BylundE, 1960“Theoretical considerations regarding the distribution of settlement in inner North Sweden”Geografiska Annaler42225–231
7.
CliffA DHaggettPOrdJ KBassettK ADaviesR B, 1975Elements of Spatial Structure (Cambridge University Press, Cambridge)
8.
CliffA DOrdJ K, 1975“Model building and the analysis of spatial pattern in human geography”Journal of the Royal Statistical Society B37297–348
9.
CliffA DOrdJ K, 1981Spatial Processes: Models and Applications (Pion, London)
10.
CurryL, 1977“Stochastic spatial distributions in equilibrium settlement theory” in Man, Culture and Settlement chapter 21, Ed. EidtR C (Kalyani, New Delhi)
11.
GatrellA C, 1979“Autocorrelation in spaces”Environment and Planning A11507–516
12.
HainingR P, 1977“Model specification in stationary random fields”Geographical Analysis9107–129
13.
HainingR P, 1981a“Spatial interdependencies in population distributions: A study in univariate map analysis. 1 Rural population densities; 2 Urban population distributions”Environment and Planning A1365–84; 85–96
14.
HainingR P, 1981b“Spatial and spatial temporal interaction models and the analysis of patterns of diffusion”Transactions, Institute of British Geographers (forthcoming)
15.
HudsonJ C, 1969“A location theory for rural settlement”Annals, Association of American Geographers59365–381
16.
HudsonJ C, 1972Studies in Geography 19: Geographical Diffusion Theory (Northwestern University Press, Evanston, IL)
17.
MatérnB, 1960“Spatial variation”Meddelanden fran Statens Skogsforskingsinstitut491–44
18.
ParkerA J, 1974“Intra urban variations in retail grocery prices”Economic and Social Review5393–403
19.
PrestonC J, 1974Gibbs States on Countable Sets (Cambridge University Press, Cambridge)
20.
RipleyB D, 1977“Modelling spatial patterns”Journal of the Royal Statistical Society B39172–212
21.
RipleyB D, 1979“The analysis of geographical maps” in Exploratory and Explanatory Statistical Analysis of Spatial Data Eds BartelsC P AKetellapperR H (Martinus Nijhoff, Boston, MA) pp 53–72
22.
RipleyB D, 1981Spatial Statistics (John Wiley, New York)
23.
WhittleP, 1954“On stationary processes in the plane”Biometrika41434–449