Page 14 - Modern Spatiotemporal Geostatistics
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TABLE OF CONTENTS
PREFACE ix
CHAPTER 1: Spatiotemporal Mapping in Natural Sciences 1
Mapping Fundamentals 1
The Epistemic Status of Modern 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
xiii