Multivariate Geostatistics: An Introduction with Applications

ISBN-13: 9783540441427 / Angielski / Twarda / 2003 / 388 str.

Hans Wackernagel

Opis

Geostatistics has become an important methodology in environmental, c1imatological and ecological studies. So a new chapter demonstrating in a simple manner the ap plication of cokriging to conductivity, salinity and chlorophyll measurements as well as numerical model output has been incorporated. Otherwise some recent material on collocated cokriging has been added, leading to aseparate chapter on this topic. Time was too short to inc1ude further results at the interface between geostatistics and data assimilation, which is a promising area of future developments (see reference 27]). The main addition, however, is a detailed treatment of geostatistics for selection problems, which features five new chapters on non linear methods. Fontainebleau, September 2002 HW Preface to the 2nd edition "Are you a statistician?" I have been asked. "Sort of ... " was my answer. A geostatis tician is probably as much a statistician as a geophysicist is a physicist. The statisti cian grows up, intellectually speaking, in the culture of the iid (independent identically distributed random variables) model, while the geostatistician is confronted with spa tially/temporally correlated data right from the start. This changes radically the basic attitude when approaching a data set."

Recenzje

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)

``Very often, comparisons are made between least squares prediction and collocation with kriging. [The book] is a must for all those scientists and engineers who want to know the similarities of both techniques applied to geosciences.''
-GIS GEO-INFORMATIONS-SYSTEME

Spis treści

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.

Blurb

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.