Multivariate Geostatistics

1 Introduction.- 2 Mean, Variance, Covariance.- 3 Linear Regression and Simple Kriging.- 4 Kriging the Mean.- 5 Regionalized Variable and Random Function.- 6 Variogram Cloud.- 7 Variogram and Covariance Function.- 8 Examples of Covariance Functions.- 9 Anisotropy.- 10 Extension and Dispersion Variance.- 11 Ordinary Kriging.- 12 Kriging Weights.- 13 Mapping with Kriging.- 14 Linear Model of Regionalization.- 15 Kriging Spatial Components.- 16 The Smoothness of Kriging.- 17 Principal Component Analysis.- 18 Canonical Analysis.- 19 Correspondence Analysis.- 20 Direct and Cross Covariances.- 21 Covariance Function Matrices.- 22 Intrinsic Multivariate Correlation.- 23 Heterotopic Cokriging.- 24 Collocated Cokriging.- 25 Isotopic Cokriging.- 26 Multivariate Nested Variogram.- 27 Case Study: Ebro Estuary.- 28 Coregionalization Analysis.- 29 Kriging a Complex Variable.- 30 Bilinear Coregionalization Model.- 31 Thresholds and Selectivity Curves.- 32 Lognormal Estimation.- 33 Gaussian Anamorphosis with Hermite Polynomials.- 34 Isofactorial Models.- 35 Isofactorial Change of Support.- 36 Kriging with Discrete Point-Bloc Models.- 37 External Drift.- 38 Universal Kriging.- 39 Translation Invariant Drift.- Matrix Algebra.- Linear Regression Theory.- Covariance and Variogram Models.- Additional Exercices.- Solutions to Exercises.- References.

SOME PRAISE FOR PREVIOUS EDITIONS:

"If you do geostatistics, you certainly should own [this book], because there are no competitors..."
-TECHNOMETRICS

"This is an introductory book on geostatistics (spatial statistics) with an emphasis on multivariate analysis of spatially indexed data. Explanations are intuitive, with graphical interpretations included where possible. Additionally, mathematical relationships are explained with uncommon clarity.''
-JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

"This book is an excellent modern introduction to geostatistics, which is one of the main branches of spatial statistics [...] this is a fine book for students of statistics, statisticians and well-informed engineers and geologists."
-BIOMETRICAL JOURNAL

"For a physical geodesist ... it is both informative and beneficial to learn about these marvelous techniques which have so much in common with the applied methods of our branch of science. What a great source of inspiration!"
-JOURNAL OF GEODESY

"The book is attractively finished and well printed ... the author's style is very readable. It should have an immediate appeal to geophysicists, hydrogeologists, engineering geologists and those mathematicians and physicists already engaged in stochastic modelling in the oil and gas industry."
-GEOSCIENTIST

"... This book is an insightful introduction to linear geostatistics in general and multivariate geostatistics in particular, and provides a springboard to further study and research in this very interesting area."
-METRIKA

"The text is well structured and easy to read; the style is plain and appealing. It moves from practical intuitive ideas to their mathematical formulation in a straightforward and natural way."
-COMPUTERS & GEOSCIENCES

``Without doubt the book will find an extensive readership including serious practitioners.''
-SHORT BOOK REVIEWS(INTERNATIONAL STATISTICAL INSTITUTE)