Del 713 i serien Wiley Series in Probability and Statistics

Geostatistics

Modeling Spatial Uncertainty

Inbunden, Engelska, 2012

1 899 kr

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Praise for the First Edition". . . a readable, comprehensive volume that . . . belongs on the desk, close at hand, of any serious researcher or practitioner."—Mathematical GeosciencesThe state of the art in geostatisticsGeostatistical models and techniques such as kriging and stochastic multi-realizations exploit spatial correlations to evaluate natural resources, help optimize their development, and address environmental issues related to air and water quality, soil pollution, and forestry. Geostatistics: Modeling Spatial Uncertainty, Second Edition presents a comprehensive, up-to-date reference on the topic, now featuring the latest developments in the field.The authors explain both the theory and applications of geostatistics through a unified treatment that emphasizes methodology. Key topics that are the foundation of geostatistics are explored in-depth, including stationary and nonstationary models; linear and nonlinear methods; change of support; multivariate approaches; and conditional simulations. The Second Edition highlights the growing number of applications of geostatistical methods and discusses three key areas of growth in the field: New results and methods, including kriging very large datasets; kriging with outliers; non-separable space-time covariances; multipoint simulations; pluri-gaussian simulations; gradual deformation; and extreme value geostatisticsNewly formed connections between geostatistics and other approaches such as radial basis functions, Gaussian Markov random fields, and data assimilationNew perspectives on topics such as collocated cokriging, kriging with an external drift, discrete Gaussian change-of-support models, and simulation algorithmsGeostatistics, Second Edition is an excellent book for courses on the topic at the graduate level. It also serves as an invaluable reference for earth scientists, mining and petroleum engineers, geophysicists, and environmental statisticians who collect and analyze data in their everyday work.

Produktinformation

Utgivningsdatum2012-04-19
Mått163 x 239 x 43 mm
Vikt1 066 g
FormatInbunden
SpråkEngelska
SerieWiley Series in Probability and Statistics
Antal sidor736
Upplaga2
FörlagJohn Wiley & Sons Inc
ISBN9780470183151

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Preface to the Second Edition ixPreface to the First Edition xiiiAbbreviations xvIntroduction 1Types of Problems Considered 2Description or Interpretation? 81. Preliminaries 111.1 Random Functions 111.2 On the Objectivity of Probabilistic Statements 221.3 Transitive Theory 242. Structural Analysis 282.1 General Principles 282.2 Variogram Cloud and Sample Variogram 332.3 Mathematical Properties of the Variogram 592.4 Regularization and Nugget Effect 782.5 Variogram Models 842.6 Fitting a Variogram Model 1092.7 Variography in the Presence of a Drift 1222.8 Simple Applications of the Variogram 1302.9 Complements: Theory of Variogram Estimation and Fluctuation 1383. Kriging 1473.1 Introduction 1473.2 Notations and Assumptions 1493.3 Kriging with a Known Mean 1503.4 Kriging with an Unknown Mean 1613.5 Estimation of a Spatial Average 1963.6 Selection of a Kriging Neighborhood 2043.7 Measurement Errors and Outliers 2163.8 Case Study: The Channel Tunnel 2253.9 Kriging Under Inequality Constraints 2324. Intrinsic Model of Order k 2384.1 Introduction 2384.2 A Second Look at the Model of Universal Kriging 2404.3 Allowable Linear Combinations of Order k 2454.4 Intrinsic Random Functions of Order k 2524.5 Generalized Covariance Functions 2574.6 Estimation in the IRF Model 2694.7 Generalized Variogram 2814.8 Automatic Structure Identification 2864.9 Stochastic Differential Equations 2945. Multivariate Methods 2995.1 Introduction 2995.2 Notations and Assumptions 3005.3 Simple Cokriging 3025.4 Universal Cokriging 3055.5 Derivative Information 3205.6 Multivariate Random Functions 3305.7 Shortcuts 3605.8 Space Time Models 3706. Nonlinear Methods 3866.1 Introduction 3866.2 Global Point Distribution 3876.3 Local Point Distribution: Simple Methods 3926.4 Local Estimation by Disjunctive Kriging 4016.5 Selectivity and Support Effect 4336.6 Multi-Gaussian Change-of-Support Model 4456.7 Affine Correction 4486.8 Discrete Gaussian Model 4496.9 Non-Gaussian Isofactorial Change-of-Support Models 4666.10 Applications and Discussion 4696.11 Change of Support by the Maximum (C. Lantuéjoul) 4707. Conditional Simulations 4787.1 Introduction and Definitions 4787.2 Direct Conditional Simulation of a Continuous Variable 4897.3 Conditioning by Kriging 4957.4 Turning Bands 5027.5 Nonconditional Simulation of a Continuous Variable 5087.6 Simulation of a Categorical Variable 5467.7 Object-Based Simulations: Boolean Models 5747.8 Beyond Standard Conditioning 5907.9 Additional Topics 6067.10 Case Studies 615Appendix 629References 642Index 689

“All who aspire to geostatistical competence should have this book to hand.” (European Journal of Soil Science, 1 April 2013)“In summary, a worthwhile investment.” (Zentralblatt MATH, 1 May 2013)“Summarizing, Chile’s and Delfiner’s book certainly deserves recommendation to anyone interested in geostatistics, either as a geostatician or as a researcher in modeling spatial uncertainty.” (Computers & Geosciences, 1 February 2013)