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Spatiotemporal Random Fields: Theory and Applications, Second Edition
, provides readers with a new and updated edition of the text that explores the application of spatiotemporal random field models to problems in ocean, earth, and atmospheric sciences, spatiotemporal statistics, and geostatistics, among others.
The new edition features considerable detail of spatiotemporal random field theory, including ordinary and generalized models, as well as space-time homostationary, isostationary and hetrogeneous approaches. Presenting new theoretical and applied results, with particular emphasis on space-time determination and interpretation, spatiotemporal analysis and modeling, random field geometry, random functionals, probability law, and covariance construction techniques, this book highlights the key role of space-time metrics, the physical interpretation of stochastic differential equations, higher-order space-time variability functions, the validity of major theoretical assumptions in real-world practice (covariance positive-definiteness, metric-adequacy etc.), and the emergence of interdisciplinary phenomena in conditions of multi-sourced real-world uncertainty.
List of contents
1. Space, Time, Spacetime, Randomness, and Probability2. Spatiotemporal Random Fields - S/TRFs3. Space-Time Metrics4. Space-Time Correlation Theory5. Transformations of Spatiotemporal Random Fields6. Geometrical Properties of Spatiotemporal Random Fields7. Auxiliary Hypotheses of Spatiotemporal Variation8. Isostationary Scalar Spatiotemporal Random Fields9. Vector and Multivariate Random Fields10. Special Classes of Spatiotemporal Random Fields11. Construction of Spatiotemporal Probability Laws12. Spatiotemporal Random Functionals13. Generalized Spatiotemporal Random Fields14. Physical Considerations15. Permissibility in Space-Time16. Construction of Spatiotemporal Covariance Models
About the author
George Christakos is a Professor in the Department of Geography at San Diego State University (USA) and in the Institute of Island & Coastal Ecosystems, Ocean College at Zhejiang University (China). He is an expert in spatiotemporal random field modeling of natural systems, and his teaching and research focus on the integrative analysis of natural phenomena; spatiotemporal random field theory; uncertainty assessment; pollution monitoring and control; human exposure risk and environmental health; space-time statistics and geostatistics.
