Abstract
The practical and theoretical effects of using non-point support data for estimating variograms or on the kriging equations when estimating spatial averages, i.e., block kriging, are well-known. Under an assumption of lognormality the proportional effect is also wellknown. While other transformations are commonly used in statistics only the log and indicator transforms are widely used in geostatistics, the latter has the advantage of generally not requiring an inverse transform.. Additional theoretical and empirical results are presented on the interrelationship between non-point support data, non-linear transformations and variogram estimation, modeling. The non-point support data may incorporate spatial averages or compositing of point support data.
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References
Box, G.E.P. and Cox, D.R. (1964) “An Analysis of Transformations”, J. Royal Statist. Soc. B26, 211–243
Cressie, N. (1993) “Aggregation in Geostatistical Problems”, in Geostatistics Troia’ 92, A. Soares (ed), Springer Science+Business Media Dordrecht, pp25–35
Crozel, D. and David, M. (1985) “Global Estimation Variance:Formulas and Calculation”, Math. Geology 17, 785–796
Journel, A.G., (1980) “The Lognormal Approach to Predicting Local Distributions of Selective Mining Grades”, Math. Geology 12, 285–303
Journel, A.G., (1983) “Non-parametric Estimation of Spatial Distributions”, Math. Geology 15, 445–468
Lantuejoul, Ch. (1988) “On the Importance of Choosing a Change of Support Model for Global Reserves Estimation”, Math. Geology 20, 1001–1019
Matheron, G. (1971) “The Theory of Regionalized Variables and Its Applications. Les Cahiers du Centre de Morphologie Mathématique”, Fas. 5. ENSMP, Fontainebleau, 212p
Matheron, G. (1985) “Change of Support for Diffusion-Type Random Functions”, Math. Geology 17, 137–165
Zhang, R., D.E. Myers and A. Warrick (1990) “Variance as a Function of Sample Support Size”, Math. Geology 22, 107–121
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© 1994 Springer Science+Business Media Dordrecht
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Myers, D.E. (1994). Change of Support and Transformations. In: Dimitrakopoulos, R. (eds) Geostatistics for the Next Century. Quantitative Geology and Geostatistics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0824-9_30
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DOI: https://doi.org/10.1007/978-94-011-0824-9_30
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4354-0
Online ISBN: 978-94-011-0824-9
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