Modern spatiotemporal geostatistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2000
|
| Series: | Studies in mathematical geology
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 288 S. Ill., graph. Darst. |
| ISBN: | 0195138953 |
Staff View
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
PREFACE ix
CHAPTER 1: Spatiotemporal Mapping in Natural Sciences l
Mapping Fundamentals 1
The Epistemic Status of Modem Spatiotemporal Geostatistics:
It Pays to Theorize! 11
Why Modern Geostatistics? 14
Scientific content 15
Indetermination thesis 16
Spatiotemporal geometry 19
Sources of physical knowledge 20
The non Procrustean spirit 20
Bayesian Maximum Entropy Space/Time Analysis and Mapping 21
BME features 22
The Integration Capability of Modern Spatiotemporal Geostatistics 23
The Knowledge Map Approach 24
CHAPTER 2: Spatiotemporal Geometry 25
A More Realistic Concept 25
The Spatiotemporal Continuum Idea 26
The Coordinate System 32
Euclidean coordinate systems 35
Non Euclidean coordinate systems 38
Metrical Structure 42
Separate metrical structures 43
Composite metrical structures 50
Some comments on physical spatiotemporal geometry 52
The Field Idea 54
Restrictions on spatiotemporal geometry imposed by field
measurements and natural media 54
Restrictions on spatiotemporal geometry imposed by physical laws 56
The Complementarity idea 58
Putting Things Together: The Spatiotemporal Random
Field Concept 59
xiU
xiv Modern Spatiotemporal Geostatistics
Correlation analysis and spatiotemporal geometry 61
Permissibility criteria and spatiotemporal geometry 64
Effect of spatiotemporal geometry on mapping 66
Some Final Thoughts 69
CHAPTER 3: Physical Knowledge 71
From the General to the Specific 71
The General Knowledge Base 73
A mathematical formulation of the general knowledge base 74
General knowledge in terms of statistical moments 75
General knowledge in terms of physical laws 76
Some other forms of general knowledge 81
The Specificatory Knowledge Base 82
Specificatory knowledge in terms of hard data 84
Specificatory knowledge in terms of soft data 85
Summa Theologica 87
CHAPTER 4: The Epistemic Paradigm 89
Acquisition and Processing of Physical Knowledge 89
Epistemic Geostatistics and the BME Analysis 90
Prior stage 92
Meta prior stage 94
Integration or posterior stage 95
Conditional Probability of a Spatiotemporal Map and its
Relation to the Probability of Conditionals 98
Material and strict map conditionals 98
Other map conditionals 100
The BME Net 101
CHAPTER 5: Mathematical Formulation of the
BME Method 103
A Pragmatic Framework of the Mapping Problem 103
The Prior Stage 104
Map information measures in light of general knowledge 104
General knowledge based map pdf 106
General knowledge in the form of random field statistics
(including multiple point statistics) 107
General knowledge in the form of physical laws 109
Possible modifications and generalizations of the prior stage 118
The Meta Prior Stage 119
The Integration or Posterior Stage 120
The Structure of the Modern Spatiotemporal Geostatistics Paradigm . 122
The Two Legs on Which the BME Equations Stand 123
CHAPTER 6: Analytical Expressions of the Posterior
Operator 125
Table of Contents xv
Specificatory Knowledge and Single Point Mapping 125
Posterior Operators for Interval and Probabilistic Soft Data 126
Posterior Operators for Other Forms of Soft Data 130
Discussion 132
CHAPTER 7: The Choice of a Spatiotemporal Estimate 135
Versatility of the BME Approach 135
The BMEmode Estimate 136
Statistics—Hard and soft data 138
Physical laws—Hard and soft data 142
The West Lyons Porosity Field 143
Other BME Estimates 147
A Matter of Coordination 148
CHAPTER 8: Uncertainty Assessment 149
Mapping Accuracy 149
Symmetric Posteriors 150
Asymmetric Posteriors 153
The Equus Beds Aquifer 155
The study area 155
Data collection 156
The water level elevation model 158
BME water level elevation mapping 158
Optimal decision making 163
Doing Progressive Guesswork 164
CHAPTER 9: Modifications of Formal BME Analysis 165
Versatility and Practicality 165
Functional BME Analysis 166
General formulation 166
The support effect 168
Multivariable or Vector BME Analysis 170
General formulation 170
Physical laws 172
Transformation laws 173
Decision making 174
Multipoint BME Analysis 175
Multipoint BME estimation 175
Multipoint BME uncertainty assessment 177
BME in the Context of Systems Analysis 181
Risk analysis of natural systems 181
Human exposure systems 182
Associations between environmental exposure and health effect 183
Bringing Plato and Odysseus Together 195
CHAPTER 10: Single Point Analytical Formulations 197
The Basic Single Point BME Equations 197
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 u/j, 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
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| isbn | 0195138953 |
| language | English |
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| physical | XVI, 288 S. Ill., graph. Darst. |
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| publisher | Oxford Univ. Press |
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| series | Studies in mathematical geology |
| series2 | Studies in mathematical geology |
| spelling | Christakos, George Verfasser aut Modern spatiotemporal geostatistics George Christakos Oxford [u.a.] Oxford Univ. Press 2000 XVI, 288 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in mathematical geology 6 Geowissenschaften - Geostatistik - Räumliche Statistik - Räumliche Verteilung Meteorologie - Umweltwissenschaften - Statistik - Statistische Analyse Geostatistik (DE-588)4020279-3 gnd rswk-swf Geostatistik (DE-588)4020279-3 s DE-604 Studies in mathematical geology 6 (DE-604)BV000788576 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009387039&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Christakos, George Modern spatiotemporal geostatistics Studies in mathematical geology Geowissenschaften - Geostatistik - Räumliche Statistik - Räumliche Verteilung Meteorologie - Umweltwissenschaften - Statistik - Statistische Analyse Geostatistik (DE-588)4020279-3 gnd |
| subject_GND | (DE-588)4020279-3 |
| title | Modern spatiotemporal geostatistics |
| title_auth | Modern spatiotemporal geostatistics |
| title_exact_search | Modern spatiotemporal geostatistics |
| title_full | Modern spatiotemporal geostatistics George Christakos |
| title_fullStr | Modern spatiotemporal geostatistics George Christakos |
| title_full_unstemmed | Modern spatiotemporal geostatistics George Christakos |
| title_short | Modern spatiotemporal geostatistics |
| title_sort | modern spatiotemporal geostatistics |
| topic | Geowissenschaften - Geostatistik - Räumliche Statistik - Räumliche Verteilung Meteorologie - Umweltwissenschaften - Statistik - Statistische Analyse Geostatistik (DE-588)4020279-3 gnd |
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