Constructing and fitting models for cokriging and multivariable spatial prediction

Journal of Statistical Planning and Inference

Volumn 69, Issue 2, 1998, Pages 275-294

  Ver Hoef, Jay M ^a,b   Barry, Ronald Paul ^b  

^a ALASKA DEPARTMENT OF FISH AND GAME   (United States)

^b UNIVERSITY OF ALASKA FAIRBANKS   (United States)

Author keywords

Cokriging; Crossvariogram; Geostatistics; Kriging; Spatial statistics; Variogram

Indexed keywords

EID: 0032525527     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(97)00162-6     Document Type: Article

References (17)

1. Barry, R.P., Ver Hoef, J.M., 1996. Blackbox kriging: spatial prediction without specifying variogram models. J. Agricul. Biological Environment. Statist. 1, 297-322.
2. Clark, I., Basinger, K.L., Harper, W.V., 1989. MUCK - A novel approach to cokriging. In: Buxton, B.E. (Ed.), Proc. Conf. Geostatistical, Sensitivity, and Uncertainty Methods for Ground-Water Flow and Radionuclide Transport Modeling, Batelle Press, Columbus, pp. 473-479.
3. Cressie, N., 1985. Fitting variogram models by weighted least squares. J. Internat. Assoc. Math. Geology 17, 693-702.
4. Cressie, N., 1991. Statistics for Spatial Data. Wiley, New York.
5. Heiterbrand, J.D., Cressie, N., 1994. Universal cokriging under intrinsic coregionalization. Math. Geol. 26, 205-226.
6. Isaaks, E.H., Srivastava, R.M., 1989. An Introduction to Applied Geostatistics. Oxford University Press, New York.
7. Journel, A.G., Huijbregts, C.J., 1978. Mining Geostatistics. Academic Press, London.
8. Lu, H., Zimmerman, D.L., 1994. A nonparametric approach to testing for directional symmetry of spatial correlation. Technical Report 234, Department of Statistics and Actuarial Science, University of Iowa, Iowa City, Iowa.
9. Myers, D.E., 1982. Matrix formulation of cokriging. Math. Geol. 14, 249-257.
10. Myers, D.E., 1991. Pseudo crossvariograms, positive-definiteness, and cokriging. Math. Geol. 23, 805-816.
11. Nash, M.S., Toorman, A., Wierenga, P.J., Gutjahr, A., Cunningham, G.L., 1992. Estimation of vegetative cover in an arid rangeland based on soil-moisture using cokriging. Soil Sci. 154, 25-36.
12. Nelder, J.A., Mead, R., 1965. A simplex method for function minimization. Comput. J. 7, 308-313.
13. Papritz, A., Kunsch, H.R., Webster, R., 1993. On the pseudo cross-variogram. Math. Geol. 25, 1015-1026.
14. Stein, M.L., 1988. Asymptotically efficient prediction of a random field with a misspecified covariance function. Ann. Statist. 16, 55-63
15. Ver Hoef, J.M., Cressie, N., 1993. Multivariable spatial prediction. Math. Geol. 25, 219-240. [Erratum, 1994. Math. Geol. 26, 273-275.]
16. Wackernagel, H., 1995. Multivariate Geostatistics. Springer, Berlin.
17. Yaglom, A.M., 1987. Correlation Theory of Stationary and Related Random Functions I: Basic Results. Springer, New York.