Multivariate Geostatistics: An Introduction with Applications

✍ Scribed by Dr. Hans Wackernagel (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2003
• Tongue: English
• Leaves: 388
• Edition: 3
• Category: Library

✦ Synopsis

The third edition of this very successful text book provides an introduction to geostatistics stressing the multivariate aspects for scientists, engineers or statisticians. Geostatistics offers a variety of models, methods and techniques for the analysis, estimation and display of multivariate data distributed in space or time. This book presents a brief review of statistical concepts, a detailed introduction to linear geostatistics, and an account of three methods of multivariate analysis. Moreover, it contains an advanced presentation of linear models for mulitvariate spatial or temporal data, of nonlinear models and methods for selection problems with change of support, as well as an introduction to non-stationary geostatistics with special focus on the external drift method. Applications from very different areas of science as well as exercices with solutions are provided to help convey the general ideas.

✦ Table of Contents

Front Matter....Pages i-xv
Introduction....Pages 1-5
Front Matter....Pages 7-7
Mean, Variance, Covariance....Pages 9-14
Linear Regression and Simple Kriging....Pages 15-26
Kriging the Mean....Pages 27-33
Front Matter....Pages 35-37
Regionalized Variable and Random Function....Pages 39-44
Variogram Cloud....Pages 45-49
Variogram and Covariance Function....Pages 50-56
Examples of Covariance Functions....Pages 57-61
Anisotropy....Pages 62-65
Extension and Dispersion Variance....Pages 66-78
Ordinary Kriging....Pages 79-88
Kriging Weights....Pages 89-95
Mapping with Kriging....Pages 96-100
Linear Model of Regionalization....Pages 101-106
Kriging Spatial Components....Pages 107-112
The Smoothness of Kriging....Pages 113-119
Front Matter....Pages 121-121
Principal Component Analysis....Pages 123-136
Canonical Analysis....Pages 137-139
Correspondence Analysis....Pages 140-142
Front Matter....Pages 143-143
Direct and Cross Covariances....Pages 145-150
Front Matter....Pages 143-143
Covariance Function Matrices....Pages 151-153
Intrinsic Multivariate Correlation....Pages 154-157
Heterotopic Cokriging....Pages 158-164
Collocated Cokriging....Pages 165-169
Isotopic Cokriging....Pages 170-174
Multivariate Nested Variogram....Pages 175-182
Case Study: Ebro Estuary....Pages 183-193
Coregionalization Analysis....Pages 194-199
Kriging a Complex Variable....Pages 200-206
Bilinear Coregionalization Model....Pages 207-209
Front Matter....Pages 211-211
Thresholds and Selectivity Curves....Pages 213-220
Lognormal Estimation....Pages 221-237
Gaussian Anamorphosis with Hermite Polynomials....Pages 238-249
Isofactorial Models....Pages 250-261
Isofactorial Change of Support....Pages 262-272
Kriging with Discrete Point-Bloc Models....Pages 273-279
Front Matter....Pages 281-281
External Drift....Pages 283-299
Universal Kriging....Pages 300-307
Translation Invariant Drift....Pages 308-315
Back Matter....Pages 317-387

✦ Subjects

Geology; Earth Sciences, general; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences