Page 196 - MATLAB Recipes for Earth Sciences

Recommended Reading 191

point decreases when the number of points in the neighborhood increases;
clustered points carry less weight individually than isolated ones at the same
distance; data points can be screened by ones lying between them and the
target. Sampling design for kriging is different from the design which might
be optimal for variography. A regular grid, triangular or quadratic, can be
regarded as optimum.
The MATLAB code presented here is a straightforward implementation
of the kriging system presented in the formulas above. In professional pro-
grams the number of data points entering the G_mod matrix are restricted as
well as the inversion of G_mod is avoided by working with the covariances
instead of the variograms (Webster and Oliver, 2001; Kitanidis, 1997). For
those who are interested in programming and in a deeper understanding of
algorithms, Deutsch and Journel (1992) is a must. The best internet source
is the homepage of AI-GEOSTATISTICS:
http://www.ai-geostats.org

Recommended Reading

Cressie N (1993) Statistics for Spatial Data, Revised Edition. John Wiley & Sons, New York
Deutsch CV, Journel AG (1998) GSLIB - Geostatistical Software Library and User·s Guide,
Second edition. Oxford University Press, New York
Gringarten E, Deutsch CV (2001) Teacher·s Aide Variogram Interpretation and Modeling.
Mathematical Geology 33:507-534
Isaaks E, Srivastava M (1989) An Introduction to Applied Geostatistics, Oxford University
Press, New York
Kitanidis P (1997) Introduction to Geostatistics - Applications in Hydrogeology. Cambridge
University Press, New York
Olea RA (1984) Systematic Sampling of Spatial Functions. Kansas Series on Spatial Analysis
7, Kansas Geological Survey
Pannatier Y (1996 )VarioWin - Software for Spatial Data Analysis in 2D, Springer-Verlag,
Berlin Heidelberg New York
Pardo-Igúzquiza E, Dowd PA (1997) AMLE3D: A computer program for the interference of
spatial covariance parameters by approximate maximum likelihood estimation. Computers
and Geosciences 23:793-805
Rendu JM, Readdy L (1982) Geology and Semivariogram – A Critical Relationship. In:
Johnson TB, Barns RJ (eds) Application of Computer & Operation Research in the
Mineral Industry. 17th Intern. Symp. American Institute of Mining. Metallurgical and
Petroleum Engineers, New York, pp. 771-783
Sandwell DT (1987) Biharmonic Spline Interpolation of GEOS-3 and SEASAT Altimeter
data. Geophysical Research Letters 2:139–142
®
The Mathworks (2004) Mapping Toolbox User·s Guide - For the Use with MATLAB . The
MathWorks, Natick, MA
Golden Software, Inc. (2002) Surfer 8 (Surface Mapping System). Golden, Colorado