Basic steps in geostatistics: the variogram and kriging
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham [u.a.]
Springer International
2015
|
| Series: | SpringerBriefs in Agriculture
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 100 Seiten Diagramme |
| ISBN: | 9783319158648 |
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Record in the Search Index
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|---|---|
| adam_text | Titel: Basic steps in geostatistics
Autor: Oliver, Margaret A
Jahr: 2015
Contents
1 Introduction..................................................................................1
1.1 Background to Geostatistics......................................................1
1.2 Applications of Geostatistics....................................................2
1.2.1 Mining and Engineering................................................2
1.2.2 Environmental Pollution................................................3
1.2.3 Precision Agriculture (PA)............................................4
1.2.4 Fisheries......................................................................6
1.3 Sampling................................................................................6
1.3.1 The Domain................................................................7
1.3.2 The Variables..............................................................8
1.3.3 Units and Support........................................................8
1.3.4 Practical Matters..........................................................8
1.4 The Essence of Geostatistics....................................................9
2 Regionalized Variable Theory........................................................11
2.1 Random Variables and Regionalized Variable Theory..................11
2.1.1 Stationarity..................................................................12
3 The Variogram and Modelling......................................................15
3.1 The Experimental Variogram....................................................16
3.1.1 Computing the Variogram from Regular Sampling
in One Dimension........................................................16
3.1.2 Computing the Variogram from Regular and Irregular
Sampling in Two Dimensions........................................18
3.2 Factors Affecting the Reliability of Experimental Variograms ... 19
3.2.1 Sample Size................................................................19
3.2.2 Sampling Interval and Spatial Scale................................23
3.2.3 Lag Interval and Bin Width............................................24
3.2.4 Statistical Distribution....................................................25
3.2.5 Anisotropy..................................................................28
3.2.6 Trend..........................................................................30
ix
x Contents
3.3 Modelling the Variogram........................................................30
3.3.1 Principal Features of the Variogram................................30
3.3.2 Variogram Model Functions..........................................32
3.4 Factors Affecting the Reliability of Variogram Models................37
3.4.1 Fitting Models..............................................................37
4 Geostatistical Prediction: Kriging..................................................43
4.1 Introduction............................................................................43
4.2 Theory..................................................................................44
4.2.1 Kriging Weights..........................................................47
4.2.2 Kriging Neighbourhood................................................53
4.2.3 Punctual and Block Kriging for Mapping........................57
4.2.4 Anisotropy..................................................................63
4.2.5 Simple Kriging............................................................65
4.2.6 Lognormal Kriging........................................................66
4.3 Cross-Validation....................................................................67
4.4 Summary..............................................................................69
5 Sampling......................................................................................71
5.1 Sampling for the Variogram....................................................72
5.1.1 Nested Sampling..........................................................73
5.2 Sampling Plans for Mapping....................................................80
5.2.1 Illustrative Example: Sampling to Map Chromium
in the Swiss Jura..........................................................82
5.3 Summary..............................................................................83
6 Dealing with Trend......................................................................85
6.1 Trend....................................................................................85
6.1.1 Variogram and Model....................................................88
6.2 Example................................................................................89
6.3 Illustration from a Case Study..................................................90
6.4 Summary..............................................................................94
References.:......................................................................................95
Index................................................................................................99
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| discipline | Geographie |
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| indexdate | 2024-07-10T01:23:03Z |
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| isbn | 9783319158648 |
| language | English |
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| spelling | Oliver, Margaret A. aut Basic steps in geostatistics the variogram and kriging Margaret A. Oliver ; Richard Webster Cham [u.a.] Springer International 2015 X, 100 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier SpringerBriefs in Agriculture Geostatistik (DE-588)4020279-3 gnd rswk-swf Geostatistik (DE-588)4020279-3 s DE-604 Webster, Richard aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027918352&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Oliver, Margaret A. Webster, Richard Basic steps in geostatistics the variogram and kriging Geostatistik (DE-588)4020279-3 gnd |
| subject_GND | (DE-588)4020279-3 |
| title | Basic steps in geostatistics the variogram and kriging |
| title_auth | Basic steps in geostatistics the variogram and kriging |
| title_exact_search | Basic steps in geostatistics the variogram and kriging |
| title_full | Basic steps in geostatistics the variogram and kriging Margaret A. Oliver ; Richard Webster |
| title_fullStr | Basic steps in geostatistics the variogram and kriging Margaret A. Oliver ; Richard Webster |
| title_full_unstemmed | Basic steps in geostatistics the variogram and kriging Margaret A. Oliver ; Richard Webster |
| title_short | Basic steps in geostatistics |
| title_sort | basic steps in geostatistics the variogram and kriging |
| title_sub | the variogram and kriging |
| topic | Geostatistik (DE-588)4020279-3 gnd |
| topic_facet | Geostatistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027918352&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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