Multivariate Geostatistics: An Introduction with Applications

Front Matter....Pages I-XIV
Introduction....Pages 1-4
Front Matter....Pages 5-5
From Statistics to Geostatistics....Pages 7-21
Front Matter....Pages 23-23
Regionalized Variable and Random Function....Pages 25-29
Variogram Cloud....Pages 30-34
Variogram and Covariance Function....Pages 35-40
Examples of Covariance Functions....Pages 41-45
Anisotropy....Pages 46-49
Extension and Dispersion Variance....Pages 50-61
Measures and Plots of Dispersion....Pages 62-68
Kriging the Mean....Pages 69-73
Ordinary Kriging....Pages 74-81
Kriging Weights....Pages 82-88
Mapping with Kriging....Pages 89-93
Linear Model of Regionalization....Pages 94-99
Kriging Spatial Components....Pages 100-105
The Smoothness of Kriging....Pages 106-112
Front Matter....Pages 113-113
Principal Component Analysis....Pages 115-122
Canonical Analysis....Pages 123-125
Correspondence Analysis....Pages 126-128
Front Matter....Pages 129-129
Direct and Cross Covariances....Pages 131-136
Front Matter....Pages 129-129
Covariance Function Matrices....Pages 137-139
Intrinsic Multivariate Correlation....Pages 140-143
Cokriging....Pages 144-151
Multivariate Nested Variogram....Pages 152-159
Coregionalization Analysis....Pages 160-165
Kriging a Complex Variable....Pages 166-171
Bilinear Coregionalization Model....Pages 172-174
Front Matter....Pages 175-175
Universal Kriging....Pages 177-184
Translation Invariant Drift....Pages 185-189
External Drift....Pages 190-200
Back Matter....Pages 201-257