Multivariate Geostatistics: An Introduction with Applications

Front Matter....Pages i-xiv
Introduction....Pages 1-4
Front Matter....Pages 5-5
Mean, Variance, Covariance....Pages 7-12
Linear Regression and Simple Kriging....Pages 13-24
Kriging the Mean....Pages 25-31
Front Matter....Pages 33-35
Regionalized Variable and Random Function....Pages 37-42
Variogram Cloud....Pages 43-47
Variogram and Covariance Function....Pages 48-54
Examples of Covariance Functions....Pages 55-59
Anisotropy....Pages 60-63
Extension and Dispersion Variance....Pages 64-75
Measures and Plots of Dispersion....Pages 76-82
Ordinary Kriging....Pages 83-92
Kriging Weights....Pages 93-99
Mapping with Kriging....Pages 100-104
Linear Model of Regionalization....Pages 105-110
Kriging Spatial Components....Pages 111-116
The Smoothness of Kriging....Pages 117-123
Front Matter....Pages 125-125
Principal Component Analysis....Pages 127-135
Canonical Analysis....Pages 136-138
Correspondence Analysis....Pages 139-141
Front Matter....Pages 143-143
Direct and Cross Covariances....Pages 145-151
Covariance Function Matrices....Pages 152-154
Intrinsic Multivariate Correlation....Pages 155-158
Heterotopic Cokriging....Pages 159-166
Isotopic Cokriging....Pages 167-171
Multivariate Nested Variogram....Pages 172-180
Coregionalization Analysis....Pages 181-186
Kriging a Complex Variable....Pages 187-193
Bilinear Coregionalization Model....Pages 194-196
Front Matter....Pages 197-197
External Drift....Pages 199-209
Universal Kriging....Pages 210-217
Translation Invariant Drift....Pages 218-225
Back Matter....Pages 227-293