Modern spatiotemporal geostatistics /

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"This introductory scholarly treatment explores the fundamentals of modern geostatistics, a group of spatiotemporal concepts and methods related to the advancement of the epistemic status of stochastic data analysis. Christakos considers the role of geostatistics in improved mathematical models...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Christakos, George
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Mineola, N.Y. : Dover Publications, 2012.
Edición:Dover edition.
Colección:Dover earth science
Temas:
Earth sciences > Statistical methods.
Maximum entropy method.
Bayesian statistical decision theory.
Sciences de la terre > Méthodes statistiques.
Méthode d'entropie maximale.
Théorie de la décision bayésienne.
SCIENCE > Earth Sciences > Geology.
Bayesian statistical decision theory
Earth sciences > Statistical methods
Maximum entropy method
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Machine generated contents note: ch. 1 Spatiotemporal Mapping in Natural Sciences
  • Mapping Fundamentals
  • The Epistemic Status of Modern Spatiotemporal Geostatistics: It Pays to Theorize!
  • Why Modern Geostatistics?
  • Scientific content
  • Indetermination thesis
  • Spatiotemporal geometry
  • Sources of physical knowledge
  • The non-Procrustean spirit
  • Bayesian Maximum Entropy Space/Time Analysis and Mapping
  • BME features
  • The Integration Capability of Modern Spatiotemporal Geostatistics
  • The "Knowledge-Map" Approach
  • ch. 2 Spatiotemporal Geometry
  • A More Realistic Concept
  • The Spatiotemporal Continuum Idea
  • The Coordinate System
  • Euclidean coordinate systems
  • Non-Euclidean coordinate systems
  • Metrical Structure
  • Separate metrical structures
  • Composite metrical structures
  • Some comments on physical spatiotemporal geometry
  • The Field Idea
  • Restrictions on spatiotemporal geometry imposed by field measurements and natural media
  • Note continued: Restrictions on spatiotemporal geometry imposed by physical laws
  • The Complementarity Idea
  • Putting Things Together: The Spatiotemporal Random Field Concept
  • Correlation analysis and spatiotemporal geometry
  • Permissibility criteria and spatiotemporal geometry
  • Effect of spatiotemporal geometry on mapping
  • Some Final Thoughts
  • ch. 3 Physical Knowledge
  • From the General to the Specific
  • The General Knowledge Base
  • A mathematical formulation of the general knowledge base
  • General knowledge in terms of statistical moments
  • General knowledge in terms of physical laws
  • Some other forms of general knowledge
  • The Specificatory Knowledge Base
  • Specificatory knowledge in terms of hard data
  • Specificatory knowledge in terms of soft data
  • Summa Theologica
  • ch. 4 The Epistemic Paradigm
  • Acquisition and Processing of Physical Knowledge
  • Epistemic Geostatistics and the BME Analysis
  • Prior stage
  • Meta-prior stage
  • Note continued: Integration or posterior stage
  • Conditional Probability of a Spatiotemporal Map and its Relation to the Probability of Conditionals
  • Material and strict map conditionals
  • Other map conditionals
  • The BME Net
  • ch. 5 Mathematical Formulation of the BME Method
  • A Pragmatic Framework of the Mapping Problem
  • The Prior Stage
  • Map information measures in light of general knowledge
  • General knowledge-based map pdf
  • General knowledge in the form of random field statistics (including multiple-point statistics)
  • General knowledge in the form of physical laws
  • Possible modifications and generalizations of the prior stage
  • The Meta-Prior Stage
  • The Integration or Posterior Stage
  • The Structure of the Modern Spatiotemporal Geostatistics Paradigm
  • The Two Legs on Which the BME Equations Stand
  • ch. 6 Analytical Expressions of the Posterior Operator
  • Specificatory Knowledge and Single-Point Mapping
  • Note continued: Posterior Operators for Interval and Probabilistic Soft Data
  • Posterior Operators for Other Forms of Soft Data
  • Discussion
  • ch. 7 The Choice of a Spatiotemporal Estimate
  • Versatility of the BME Approach
  • The BMEmode Estimate
  • Statistics
  • Hard and soft data
  • Physical laws
  • Hard and soft data
  • The West Lyons Porosity Field
  • Other BME Estimates
  • A Matter of Coordination
  • ch. 8 Uncertainty Assessment
  • Mapping Accuracy
  • Symmetric Posteriors
  • Asymmetric Posteriors
  • The Equus Beds Aquifer
  • The study area
  • Data collection
  • The water-level elevation model
  • BME water-level elevation mapping
  • Optimal decision making
  • Doing Progressive Guesswork
  • ch. 9 Modifications of Formal BME Analysis
  • Versatility and Practicality
  • Functional BME Analysis
  • General formulation
  • The support effect
  • Multivariable or Vector BME Analysis
  • General formulation
  • Physical laws
  • Transformation laws
  • Decision making
  • Note continued: Multipoint BME Analysis
  • Multipoint BME estimation
  • Multipoint BME uncertainty assessment
  • BME in the Context of Systems Analysis
  • Risk analysis of natural systems
  • Human-exposure systems
  • Associations between environmental exposure and health effect
  • Bringing Plato and Odysseus Together
  • ch. 10 Single-Point Analytical Formulations
  • The Basic Single-Point BME Equations
  • Ordinary Covariance and Variogram
  • Hard and Soft Data
  • Particulate Matter Distributions in North Carolina
  • Generalized Covariance
  • Hard and Soft Data
  • Some Non-Gaussian Analytical Expressions
  • Theory, Practice, and Computers
  • ch. 11 Multipoint Analytical Formulations
  • The Basic Multipoint BME Equations
  • Ordinary Covariance
  • Hard and Soft Data
  • Ordinary Variogram
  • Hard and Soft Data
  • Other Combinations
  • Spatiotemporal Covariance and Variogram Models
  • Separable models
  • Nonseparable models
  • And Still the Garden Grows!
  • Note continued: The Argument of Modern Spatiotemporal Geostatistics
  • The Ending as a New Beginning.

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