Abstract
The practical effects of using different two dimensional laws in conjunction with the disjunctive kriging estimator are investigated. Alternative two dimensional probability density functions used are isofactor models based on one dimensional Gaussian and Gamma laws. The isofactor models used employ alternative correlation parameterizations. In addition to using the usual correlations among the variables involved, factor representations which replace correlations by moments from a beta distribution are used. Results of using the alternative parameterizations on simulated fields resembling soil properties are presented. It is shown that both Gaussian and Gamma laws result in similar disjunctive kriging estimates, with the Gaussian case being slightly better on low field values, but with the Gamma case being slightly better on high field values.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Armstrong, M. and G. Matheron, 1986, ‘Disjunctive kriging revisited: Parts I and II,’ Mathematical Geology, v. 18, no. 8, p. 711–742.
Freeze, R. A., 1975, ‘A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media,’ Water Resources Research, v. 11, no. 5, p. 725–741.
Griffiths, R. C., 1969, ‘The canonical correlation coefficients of bivariate gamma distributions,’ The Annals of Mathematical Statistics, v. 40, no. 4, p. 1401–1408.
Matheron, G., 1976, ‘A simple substitute for conditional expectation: The disjunctive kriging,’ in M. Guarascio et al. (eds.), Advanced geostatistics in the mining industry, Reidel, Dordrecht/Boston, p. 221–236.
Puente, C. E. and R. L. Bras, 1986, ‘Disjunctive kriging, universal kriging, or no kriging: small sample results with simulated fields,’ Mathematical Geology, v. 18, no. 3, p. 287–305.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Puente, C.E. (1989). Practical Use of Disjunctive Kriging: Effects of Two Dimensional Parameterizations. In: Armstrong, M. (eds) Geostatistics. Quantitative Geology and Geostatistics, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-6844-9_27
Download citation
DOI: https://doi.org/10.1007/978-94-015-6844-9_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-015-6846-3
Online ISBN: 978-94-015-6844-9
eBook Packages: Springer Book Archive