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xvi Modern Spatiotemporal Geostatistics

Ordinary Covariance and Variogram—Hard and Soft Data 198
Particulate Matter Distributions in North Carolina 203
Generalized Covariance—Hard and Soft Data 211
Some Non-Gaussian Analytical Expressions 213
Theory, Practice, and Computers 216
CHAPTER 11: Multipoint Analytical Formulations 217
The Basic Multipoint BME Equations 217
Ordinary Covariance—Hard and Soft Data 218
Ordinary Variogram—Hard and Soft Data 222
Other Combinations 223
Spatiotemporal Covariance and Variogram Models 224
Separable models 224
Nonseparable models 225
And Still the Garden Grows! 228
CHAPTER 12: Popular Methods in the Light of
Modern Spatiotemporal Geostatistics 229

The Generalization Power of BME 229
Minimum Mean Squared Error Estimators 230
Kriging Estimators 233
Simple and ordinary kriging 233
Lognormal kriging 244
Nonhomogeneous/nonstationary kriging 244
Indicator kriging 246
Other sorts of kriging 249
Limitations of kriging techniques—Advantages of BME analysis 249
Random Field Models of Modern Spatiotemporal Geostatistics 251
A unified framework 251
The class of coarse-grained RF 254
The class of S/TRF- models in heterogeneity analysis 254
The class of space/time fractal RF models 256
The class of wavelet RF 257
The Emergence of the Computational Viewpoint in BME Analysis .... 260
Modern Spatiotemporal Geostatistics and GIS Integration
Technologies 261
CHAPTER 13: A Call Not to Arms but to Research 265
Unification and Distinction 265
The Formal Part 266
Interpretive BME and the Search for "Rosebud" 267
The Argument of Modern Spatiotemporal Geostatistics 268
The Ending as a New Beginning 271
BIBLIOGRAPHY 273
INDEX 283