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Disjunctive kriging, universal kriging, or no kriging: Small sample results with simulated fields

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Abstract

This paper provides a comparison between linear (universal) and nonlinear (disjunctive) kriging estimators when they are computed from small samples chosen randomly on simulated stationary and nonstationary fields. Point estimation results are reported. In all cases considered, kriging estimators were found better than a local mean estimator, with universal kriging either better than or as good as disjunctive kriging. The latter, which is suited to handle stationary fields, did not provide more accurate estimates because the use of small samples led to inconsistencies in the assumed bivariate model. Universal kriging was particularly better with nonstationary fields.

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References

  • David, M., 1977, Geostatistical ore resource estimation: Elsevier Scientific Publishing Company, New York, 364 p.

    Google Scholar 

  • Delfiner, P., 1976, Linear estimation of non-stationary spatial phenomena,in M. Guarascio et al. (Eds.), Advanced geostatistics in the mining industry, Reidel, Dordrecht/Boston, p. 49–68.

    Google Scholar 

  • Journel, A. G. and Ch. J. Huijbregts, 1978, Mining geostatistics: Academic Press, London, 600 p.

    Google Scholar 

  • Kafritsas, J. and R. L. Bras, 1981, The practice of kriging: Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, MIT, Technical report no. 263, 107 p.

  • Mantoglou, A. and J. L. Wilson, 1981, Simulation of random fields with the turning bands method: Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, MIT, Technical report no. 264, 199 p.

  • Marechal, A., 1976a, Selecting mineable blocks: Experimental results observed on a simulated orebody,in M. Guarascio et al. (Eds.), Advanced geostatistics in the mining industry, Reidel, Dordrecht/Boston, p. 137–161.

    Google Scholar 

  • Marechal, A., 1976b, The practice of transfer functions: Numerical methods and their applications,in M. Guarascio et al. (Eds.), Advanced geostatistics in the mining industry, Reidel, Dordrecht/Boston, p. 253–276.

    Google Scholar 

  • Matheron, G., 1971, The theory of regionalized variables and its applications: Les Cahiers du Centre de Morphologie Mathematique, Fasc. 5, Centre de Geostatistique, Fontainebleau, 211 p.

    Google Scholar 

  • Matheron, G., 1973, The intrinsic random functions and their applications: Adv. Appl. Prob., v. 5, p. 439–468.

    Google Scholar 

  • Matheron, G., 1976a, 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.

    Google Scholar 

  • Matheron, G., 1976b, Forecasting block grade distributions: The transfer functions,in M. Guarascio et al. (Eds.), Advanced geostatistics in the mining industry: Reidel, Dordrecht/Boston, p. 237–251.

    Google Scholar 

  • Puente, C. E. and R. L. Bras, 1982, A comparison of linear and nonlinear random field estimators: Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, MIT, Technical report no. 287, 246 p.

  • Rendu, J. M., 1980, Disjunctive kriging: Comparison of theory with actual results: Math. Geol. v. 12, no. 4, p. 305–320.

    Google Scholar 

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Puente, C.E., Bras, R.L. Disjunctive kriging, universal kriging, or no kriging: Small sample results with simulated fields. Math Geol 18, 287–305 (1986). https://doi.org/10.1007/BF00898033

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