Collecting Spatial Data (eBook)

Preface to the Third Edition 5
Preface to the Second Edition 6
Preface to the First Edition 7
Contents 8
Introduction 12
References 20
Fundamentals of Spatial Statistics 22
2.1 Estimation of Spatial Trend 24
2.2 Universal Kriging 25
2.3 Local Regression 28
2.4 Variogram Fitting 34
2.5 Example 39
2.6 Exercises 45
Connections to Other Chapters 46
References 48
Fundamentals of Experimental Design 54
3.1 Information Matrices 56
3.2 Design Criteria 61
3.3 Numerical Algorithms 68
3.4 Further Design Topics Useful in the Spatial Setting 71
3.5 Example 75
3.6 Exercises 79
Connections to Other Chapters 80
References 81
Exploratory Designs 88
4.1 Deterministic and Random Sampling 90
4.2 Space Filling Designs 93
4.3 Designs for Local Regression 96
4.4 Model Discriminating Designs 99
4.5 Example 101
4.6 Exercises 105
Connections to Other Chapters 106
References 107
Designs for Spatial Trend Estimation 111
5.1 Approximate Information Matrices 112
5.2 Replication-Free Designs 115
5.3 Designs for Correlated Fields 120
5.4 Designs for Spatial Prediction 135
5.5 Example 138
5.6 Exercises 143
Connections to Other Chapters 144
References 145
Design and Dependence 150
6.1 Designs for Detecting Spatial Dependence 151
6.2 Designs for Variogram Estimation 160
6.3 Methods Based on Likelihood Approaches 170
6.4 Example 171
6.5 Exercises 176
Connections to Other Chapters 177
References 178
Multipurpose Designs 182
7.1 Combining Different Purpose Designs 184
7.2 Likelihood-based Approaches 186
7.3 Alternative ‘Direct’ Approaches 189
7.4 Example 191
7.5 Exercises 195
Connections to Other Chapters 196
References 197
Appendix 201
A.1 Data Sets 201
A.2 Proofs for Chapter 2 203
A.3 Proofs for Chapter 3 204
A.4 Proofs for Chapter 4 206
A.5 Proofs for Chapter 5 209
A.6 Proofs for Chapter 6 224
A.7 Proofs for Chapter 7 225
A.8 D2PT Description 226
References 233
List of Figures 235
Author Index 237
Subject Index 245