Abstract
Complex spatial geologic patterns may be regarded as realizations of random processes. The estimated parameters of such processes serve as convenient summary characteristics of the observed geologic patterns, and provide a basis for their classification and comparison. The statistical properties of the estimates of process parameters, e.g., prevalence and patchiness, are related to the rate and method of sampling, as well as to the model of the process itself. The paper contains an investigation of these relationships. The scale of phenomena to which these investigations apply range from the texture of rock thin sections to satellite surface imagery.
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References
Dacey, M. F., 1964, Measures of contiguity for two-color maps: Technical Rept., Northwestern Univ., 25 p.
Demirmen, F., 1969, Petrographic and statistical study of part of Pennsylvanian Honaker Trail Formation: unpubl. doctoral dissertation, Stanford Univ., 531 p.
Devore, J., 1971, Noisy Markov chains: unpubl. doctoral dissertation, Stanford Univ., 85 p.
Gilbert, E. N., 1962, Random subdivisions of space into crystals: Ann. Math. Stat., v. 33, p. 958–972.
Matern, B., 1960, Spatial variation: Medd. Statens Skogsforskningsinstitut, 144 p.
Matheron, G., 1965, Les variables regionalises et leur estimation: Masson Cie., Paris, 306 p.
Pielou, E. C., 1964, The spatial pattern of two-phase patchworks of vegetation: Biometrics, v. 20, p. 156–167.
Switzer, P., 1965, A random set process with a Markovian property: Ann. Math. Stat., v. 36, p. 1859–1863.
Switzer, P., 1967, Reconstructing patterns from sample data: Ann. Math. Stat., v. 38, p. 138–154.
Switzer, P., 1971, Mapping a geographically correlated environment: Office Naval Res. (NR-342–022), Tech. Rept. No. 145, 38 p.
Watson, G., 1971, Trend-surface analysis: , v. 3, no. 3, p. 215–226.
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© 1976 Springer-Verlag New York Inc.
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Switzer, P. (1976). Applications of Random Process Models to the Description of Spatial Distributions of Qualitative Geologic Variables. In: Merriam, D.F. (eds) Random Processes in Geology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66146-4_10
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DOI: https://doi.org/10.1007/978-3-642-66146-4_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07277-5
Online ISBN: 978-3-642-66146-4
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