Applied geostatistics:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Oxford Univ. Press
1989
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Nebentitel: An introduction to applied geophysics |
Beschreibung: | XIX, 561 S. Ill., graph. Darst., Kt. |
ISBN: | 9780195050134 0195050126 0195050134 |
Internformat
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100 | 1 | |a Isaaks, Edward H. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Applied geostatistics |c Edward H. Isaaks ; R. Mohan Srivastava |
246 | 1 | 3 | |a An introduction to applied geostatistics |
264 | 1 | |a New York [u.a.] |b Oxford Univ. Press |c 1989 | |
300 | |a XIX, 561 S. |b Ill., graph. Darst., Kt. | ||
336 | |b txt |2 rdacontent | ||
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500 | |a Nebentitel: An introduction to applied geophysics | ||
650 | 7 | |a Geologie |2 gtt | |
650 | 4 | |a Géologie - Méthodes statistiques | |
650 | 7 | |a Statistische methoden |2 gtt | |
650 | 4 | |a Geologie | |
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Datensatz im Suchindex
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adam_text | CONTENTS
1 Introduction 3
The Walker Lake Data Set............................... 4
Goals of the Case Studies.............................. 6
2 Univariate Description 10
Frequency Tables and Histograms....................... 10
Cumulative Frequency Tables and Histograms............ 12
Normal and lognormal Probability Plots................ 13
Summary Statistics.................................... 16
Measures of Spread................................... 20
Measures of Shape..................................... 20
Notes ................................................ 21
Further Reading....................................... 23
3 Bivariate Description 24
Comparing Two Distributions........................... 24
Scatterplots.......................................... 28
Correlation........................................... 30
Linear Regression..................................... 33
Conditional Expectation............................... 35
Notes ................................................ 38
Further Reading....................................... 39
4 Spatial Description 40
Data Postings......................................... 40
Contour Maps ......................................... 41
Symbol Maps........................................... 43
Indicator Maps........................................ 44
Moving Window Statistics.............................. 46
XIV
CONTENTS
Proportional Effect................................... 49
Spatial Continuity..................................... 50
h-Scatterplots . . .*.................................. 52
Correlation Functions, Covariance Functions, and Vari-
ograms ................................................ 55
Cross h-Scatterplots.................................. 60
Notes ................................................. 64
Further Reading........................................ 65
5 The Exhaustive Data Set 67
The Distribution of F.................................. 67
The Distribution of U................................ 70
The Distribution of T.................................. 73
Recognition of Two Populations......................... 75
The V-U Relationship .................................. 76
Spatial Description of V............................... 78
Spatial Description of U............................... 80
Moving Window Statistics............................... 90
Spatial Continuity..................................... 93
Notes ............................................... 106
6 The Sample Data Set 107
Data Errors............................................109
The Sampling History...................................110
Univariate Description of V . . .......................120
Univariate Description of U............................123
The Effect of the T Type...............................127
The V- U Relationship..................................127
Spatial Description....................................129
Proportional Effect....................................136
Further Reading........................................138
7 The Sample Data Set: Spatial Continuity 140
Sample h-Scatterplots and Their Summaries..............141
An Outline of Spatial Continuity Analysis..............143
Choosing the Distance Parameters.......................146
Finding the Anisotropy Axes............................149
Choosing the Directional Tolerance.....................154
Sample Variograms for U................................154
Relative Variograms . ............................... 163
CONTENTS
XV
Comparison of Relative Variograms.....................166
The Covariance Function and the Correlogram...........170
Directional Covariance Functions for U ...............173
Cross-Variograms.................................... 175
Summary of Spatial Continuity.........................177
Notes ................................................181
Further Reading.......................................182
8 Estimation 184
Weighted Linear Combinations..........................185
Global and Local Estimation ..........................187
Means and Complete Distributions......................188
Point and Block Estimates.............................190
Notes ................................................194
Further Reading.......................................194
9 Random Function Models 196
The Necessity of Modeling........................... . 196
Deterministic Models..................................198
Probabalistic Models .................................200
Random Variables......................................202
Functions of Random Variables.........................204
Parameters of a Random Variable ......................206
Joint Random Variables................................210
Marginal Distributions.............................. 211
Conditional Distributions........................... 212
Parameters of Joint Random Variables..................213
Weighted Linear Combinations of Random Variables . .215
Random Functions......................................218
Parameters of a Random Function.......................221
The Use of Random Function Models in Practice .... 226
An Example of the Use of a Probabalistic Model .... 231
Further Reading.......................................236
10 Global Estimation 237
Polygonal Declustering................................238
Cell Declustering.....................................241
Comparison of Declustering Methods....................243
Declustering Three Dimensional Data................. 247
Further Reading.......................................248
XVI
CONTENTS
11 Point Estimation 249
Polygons............................................250
Triangulation . . . ................................251
Local Sample Mean...................................256
Inverse Distance Methods............................257
Search Neighborhoods...............................259
Estimation Criteria.................................260
Case Studies ..................................... 266
Notes ..............................................276
Further Reading ....................................277
12 Ordinary Kriging 278
The Random Function Model and Unbiasedness..........279
The Random Function Model and Error Variance .... 281
The Lagrange Parameter..............................284
Minimization of the Error Variance.................286
Ordinary Kriging Using 7 or p.......................289
An Example of Ordinary Kriging......................290
Ordinary Kriging and the Model of Spatial Continuity . 296
An Intuitive Look at Ordinary Kriging...............299
Variogram Model Parameters..........................301
Comparison of Ordinary Kriging to Other Estimation
Methods......................................... 313
Notes ............................................ 321
Further Reading................................. 322
13 Block Kriging 323
The Block Kriging System............................324
Block Estimates Versus the Averaging of Point Estimates327
Varying the Grid of Point Locations Within a Block . . 327
A Case Study........................................330
14 Search Strategy 338
Search Neighborhoods................................339
Quadrant Search.................................... 344
Are the Nearby Samples Relevant?....................347
Relevance of Nearby Samples and Stationary Models . . 349
Notes ..............................................349
CONTENTS xvii
15 Cross Validation 351
Cross Validation.....................................352
Cross Validation as a Quantitative Tool..............352
Cross Validation as a Qualitative Tool...............359
Cross Validation as a Goal-Oriented Tool.............364
16 Modeling the Sample Variogram 369
Restrictions on the Variogram Model..................370
Positive Definite Variogram Models...................372
Models in One Direction..............................375
Models of Anisotropy.................................377
Matrix Notation......................................386
Coordinate Transformation by Rotation................388
The Linear Model of Coregionalization................390
Models For the The Walker Lake Sample Variograms . . 391
Notes ...............................................397
Further Reading.................................... 398
17 Cokriging 400
The Cokriging System.................................401
A Cokriging Example .................................405
A Case Study.........................................407
Notes ...............................................416
Further Reading......................................416
18 Estimating a Distribution 417
Cumulative Distributions ............................418
The Inadequacy of a Naive Distribution...............419
The Inadequacy of Point Estimates....................420
Cumulative Distributions, Counting and Indicators . . . 421
Estimating a Global Cumulative Distribution..........424
Estimating Other Parameters of the Global Distribution 428
Estimating Local Distributions.......................433
Choosing Indicator Thresholds........................435
Case Studies ........................................438
Indicator Variograms.................................442
Order Relation Corrections......................... 447
Case Study Results...................................448
Notes ...............................................456
Further Reading.................................... 457
xviii CONTENTS
19 Change Of Support 458
The Practical Importance of the Support Effect.......458
The Effect of Support on Summary Statistics..........462
Correcting For the Support Effect ...................468
Transforming One Distribution to Another ............469
Affine Correction....................................471
Indirect Lognormal Correction........................472
Dispersion Variance .................................476
Estimating Dispersion Variances From a Variogram Model480
Case Study: Global Change of Support ................483
Notes ...............................................486
Further Reading......................................488
20 Assessing Uncertainty 489
Error and Uncertainty................................489
Reporting Uncertainty................................492
Ranking Uncertainty..................................497
Case Study: Ranking Sample Data Configurations . . . 499
Assigning Confidence Intervals ......................504
Case Study: Confidence Intervals for An Estimate of
the Global Mean......................................506
A Dubious Use of Cross Validation....................514
Local Confidence Intervals...........................517
Case Study: Local Confidence Intervals from Relative
Variograms...........................................519
Notes ............................................. 523
Further Reading......................................524
21 Final Thoughts 525
Description and Data Analysis........................525
Estimation ..........................................528
Global Estimation....................................528
Local Estimation.....................................528
Accommodating Different Sample Support...............530
Search Strategy......................................531
Incorporating a Trend................................531
Cross Validation.....................................533
Modeling Sample Variograms...........................534
Using Other Variables................................535
CONTENTS xix
Estimating Distributions.......................... 536
Other Uses of Indicators............................536
Bibliography 538
A The Walker Lake Data Sets 542
The Digital Elevation Model.........................542
The Exhaustive Data Set.............................545
Artifacts...........................................545
B Continuous Random Variables 548
The Probability Distribution Function...............548
Parameters of a Continuous Random Variable..........549
Joint Random Variables..............................551
Marginal Distributions..............................551
Conditional Distributions...........................552
Parameters of Joint Random Variables..............552
Index
553
|
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author | Isaaks, Edward H. Srivastava, R. M. |
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dewey-sort | 3551 272 |
dewey-tens | 550 - Earth sciences |
discipline | Geowissenschaften Geologie / Paläontologie Agrar-/Forst-/Ernährungs-/Haushaltswissenschaft / Gartenbau Mathematik Geographie |
format | Book |
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language | English |
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spelling | Isaaks, Edward H. Verfasser aut Applied geostatistics Edward H. Isaaks ; R. Mohan Srivastava An introduction to applied geostatistics New York [u.a.] Oxford Univ. Press 1989 XIX, 561 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Nebentitel: An introduction to applied geophysics Geologie gtt Géologie - Méthodes statistiques Statistische methoden gtt Geologie Geology Statistical methods Geologie (DE-588)4020227-6 gnd rswk-swf Geostatistik (DE-588)4020279-3 gnd rswk-swf Geostatistik (DE-588)4020279-3 s DE-604 Geologie (DE-588)4020227-6 s 1\p DE-604 Srivastava, R. M. Verfasser aut Digitalisierung UB Augsburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003384831&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Isaaks, Edward H. Srivastava, R. M. Applied geostatistics Geologie gtt Géologie - Méthodes statistiques Statistische methoden gtt Geologie Geology Statistical methods Geologie (DE-588)4020227-6 gnd Geostatistik (DE-588)4020279-3 gnd |
subject_GND | (DE-588)4020227-6 (DE-588)4020279-3 |
title | Applied geostatistics |
title_alt | An introduction to applied geostatistics |
title_auth | Applied geostatistics |
title_exact_search | Applied geostatistics |
title_full | Applied geostatistics Edward H. Isaaks ; R. Mohan Srivastava |
title_fullStr | Applied geostatistics Edward H. Isaaks ; R. Mohan Srivastava |
title_full_unstemmed | Applied geostatistics Edward H. Isaaks ; R. Mohan Srivastava |
title_short | Applied geostatistics |
title_sort | applied geostatistics |
topic | Geologie gtt Géologie - Méthodes statistiques Statistische methoden gtt Geologie Geology Statistical methods Geologie (DE-588)4020227-6 gnd Geostatistik (DE-588)4020279-3 gnd |
topic_facet | Geologie Géologie - Méthodes statistiques Statistische methoden Geology Statistical methods Geostatistik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003384831&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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