Robust estimation of the variogram by residual maximum likelihood

Geoderma

Volumn 140, Issue 1-2, 2007, Pages 62-72

  Marchant, B P ^a   Lark, R M ^a  

^a ROTHAMSTED RESEARCH   (United Kingdom)

Author keywords

Geostatistics; REML; Robust statistics; Variogram

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; LINEAR EQUATIONS; MAXIMUM LIKELIHOOD; METHOD OF MOMENTS; STATISTICAL METHODS;

GEOSTATISTICS; RESIDUAL MAXIMUM LIKELIHOOD (REML); ROBUST STATISTICS; SPATIAL PREDICTION; VARIOGRAM;

SOILS;

DAMPING; ESTIMATION METHOD; LEAD; PREDICTION; SOIL POLLUTION; SPATIAL DISTRIBUTION; SPATIAL VARIATION; VARIOGRAM;

CENTRAL EUROPE; EURASIA; EUROPE; JURA [SWITZERLAND]; SWITZERLAND;

EID: 34249320829     PISSN: 00167061     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geoderma.2007.03.005     Document Type: Article

References (24)

1. Atteia O., Dubois J.-P., and Webster R. Geostatistical analysis of contamination in the Swiss Jura. Environmental Pollution 86 (1994) 315-327
2. Bishop T.F.A., and McBratney A.B. A comparison of prediction methods for the creation of field-extent soil property maps. Geoderma 103 (2001) 149-160
3. Cressie N. Fitting variogram models by weighted least squares. Mathematical Geology 17 (1985) 563-586
4. Cressie N., and Hawkins D. Robust estimation of the variogram. Mathematical Geology 12 (1980) 115-125
5. Deutsch C.V., and Journel A.G. GSLIB: Geostatistical Software Library and Users Guide. 2nd edition (1998), Oxford University Press, New York
6. Dowd P.A. The variogram and kriging: robust and resistant estimators. In: Verly G., David M., Journal A.G., and Marechal A. (Eds). Geostatistics for Natural Resources Characterization (1984), D. Reidel, Dordrecht 91-106 Part 1
7. Genton M.G. Highly robust variogram estimation. Mathematical Geology 30 (1998) 213-221
8. Goovaerts P. Geostatistics for Natural Resources Evaluation (1997), Oxford Univ. Press, New York
9. Higham N.J. Computing real square roots of a real matrix. Linear Algebra and its applications 88/89 (1987) 405-430
10. Lark R.M. A comparison of some robust estimators of the variogram for use in soil survey. European Journal of Soil Science 51 (2000) 137-157
11. Lark R.M. Modelling complex soil properties as contaminated regionalized variables. Geoderma 106 (2002) 173-190
12. Lark R.M., and Cullis B.R. Model-based analysis using REML for interence from systematically sampled data on soil. European Journal of Soil Science 55 (2004) 799-813
13. Lark R.M., Cullis B.R., and Welham S.J. On spatial prediction of soil properties in the presence of a spatial trend: the empirical best linear unbiased predictor (E-BLUP) with REML. European Journal of Soil Science 57 (2006) 787-799
14. Marchant B.P., and Lark R.M. Adaptive sampling and reconnaissance surveys for geostatistical mapping of the soil. European Journal of Soil Science 57 (2006) 831-845
15. Matheron, G., 1962. Traité de Géostatisque Appliqué, Tome 1. Memoires du Bureau de Recherches Géologiques et Minières, Paris.
16. McBratney A.B., and Webster R. Choosing functions for semi-variograms of soil properties and fitting them to sampling estimates. Journal of Soil Science 37 (1986) 617-639
17. McBratney A.B., Webster R., and Burgess T.M. The design of optimal sampling schemes for local estimation and mapping of regionalised variables. Computers and Geosciences 7 (1981) 331-334
18. Pardo-Igúzquiza E. MLREML: a computer program for the inference of spatial covariance parameters by maximum likelihood and restricted maximum likelihood. Computers and Geosciences 23 (1997) 153-162
19. Patterson H.D., and Thompson R. Recovery of inter-block information when block sizes are unequal. Biometrika 58 (1971) 545-554
20. Richardson A.M., and Welsh A.H. Robust restricted maximum likelihood in mixed linear models. Biometrics 51 (1995) 1429-1439
21. Rousseeuw P.J., and Croux C. Alternatives to the median absolute deviation. Journal of the American Statistical Association 88 (1993) 1273-1283
22. Stein M.L. Interpolation of spatial data: some theory for kriging (1999), Springer, New York
23. Stuart A., Ord J.K., and Arnold S. Kendall's Advanced Theory of Statistics, Volume 2A: Classical Inference and the Linear Model. 6th edition (1999), Arnold, London
24. Webster R., and Oliver M.A. Geostatistics for Environmental Scientists (2001), John Wiley and Sons, Chichester