Random Field Models In Earth Sciences

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Random Field Models in Earth Sciences

Author : George Christakos
Publisher : Elsevier
ISBN 13 : 1483288307
Total Pages : 474 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Random Field Models in Earth Sciences by : George Christakos

Download or read book Random Field Models in Earth Sciences written by George Christakos and published by Elsevier. This book was released on 2013-10-22 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about modeling as a prinicipal component of scientific investigations. In general terms, modeling is the funamental process of combining intellectual creativity with physical knowledge and mathematical techniques in order to learn the properties of the mechanisms underlying a physical phenomenon and make predictions. The book focuses on a specific class of models, namely, random field models and certain of their physical applications in the context of a stochastic data analysis and processing research program. The term application is considered here in the sense wherein the mathematical random field model is shaping, but is also being shaped by, its objects. Key Features * This book explores the application of random field models and stochastic data processing to problems in hydrogeology, geostatistics, climate modeling, and oil reservoir engineering, among others Researchers in the geosciences who work with models of natural processes will find discussion of; * Spatiotemporal random fields * Space transformation * Multidimensional estimation * Simulation * Sampling design * Stochastic partial differential equations

Spatiotemporal Random Fields

Author : George Christakos
Publisher : Elsevier
ISBN 13 : 0128030321
Total Pages : 696 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Spatiotemporal Random Fields by : George Christakos

Download or read book Spatiotemporal Random Fields written by George Christakos and published by Elsevier. This book was released on 2017-07-26 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contains applications in the form of examples and case studies, providing readers with first-hand experiences Presents an easy to follow narrative which progresses from simple concepts to more challenging ideas Includes significant updates from the previous edition, including a focus on new theoretical and applied results

Gaussian Markov Random Fields

Author : Havard Rue
Publisher : CRC Press
ISBN 13 : 0203492021
Total Pages : 280 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Gaussian Markov Random Fields by : Havard Rue

Download or read book Gaussian Markov Random Fields written by Havard Rue and published by CRC Press. This book was released on 2005-02-18 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gaussian Markov Random Field (GMRF) models are most widely used in spatial statistics - a very active area of research in which few up-to-date reference works are available. This is the first book on the subject that provides a unified framework of GMRFs with particular emphasis on the computational aspects. This book includes extensive case-studie

Control of Spatially Structured Random Processes and Random Fields with Applications

Author : Ruslan K. Chornei
Publisher : Springer Science & Business Media
ISBN 13 : 038731279X
Total Pages : 269 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Control of Spatially Structured Random Processes and Random Fields with Applications by : Ruslan K. Chornei

Download or read book Control of Spatially Structured Random Processes and Random Fields with Applications written by Ruslan K. Chornei and published by Springer Science & Business Media. This book was released on 2006-09-03 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study and optimization of spatiotemporal stochastic processes - processes which develop simultaneously in space and time under random influences. These processes are seen to occur almost everywhere when studying the global behavior of complex systems. The book presents problems and content not considered in other books on controlled Markov processes, especially regarding controlled Markov fields on graphs.

Quantitative Analysis and Modeling of Earth and Environmental Data

Author : Jiaping Wu
Publisher : Elsevier
ISBN 13 : 0128163429
Total Pages : 504 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Quantitative Analysis and Modeling of Earth and Environmental Data by : Jiaping Wu

Download or read book Quantitative Analysis and Modeling of Earth and Environmental Data written by Jiaping Wu and published by Elsevier. This book was released on 2021-12-04 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative Analysis and Modeling of Earth and Environmental Data: Space-Time and Spacetime Data Considerations introduces the notion of chronotopologic data analysis that offers a systematic, quantitative analysis of multi-sourced data and provides information about the spatial distribution and temporal dynamics of natural attributes (physical, biological, health, social). It includes models and techniques for handling data that may vary by space and/or time, and aims to improve understanding of the physical laws of change underlying the available numerical datasets, while taking into consideration the in-situ uncertainties and relevant measurement errors (conceptual, technical, computational). It considers the synthesis of scientific theory-based methods (stochastic modeling, modern geostatistics) and data-driven techniques (machine learning, artificial neural networks) so that their individual strengths are combined by acting symbiotically and complementing each other. The notions and methods presented in Quantitative Analysis and Modeling of Earth and Environmental Data: Space-Time and Spacetime Data Considerations cover a wide range of data in various forms and sources, including hard measurements, soft observations, secondary information and auxiliary variables (ground-level measurements, satellite observations, scientific instruments and records, protocols and surveys, empirical models and charts). Including real-world practical applications as well as practice exercises, this book is a comprehensive step-by-step tutorial of theory-based and data-driven techniques that will help students and researchers master data analysis and modeling in earth and environmental sciences (including environmental health and human exposure applications). Explores the analysis and processing of chronotopologic (i.e., space-time and spacetime) data that varies spatially and/or temporally, which is the case with the majority of data in scientific and engineering disciplines Studies the synthesis of scientific theory and empirical evidence (in its various forms) that offers a mathematically rigorous and physically meaningful assessment of real-world phenomena Covers a wide range of data describing a variety of attributes characterizing physical phenomena and systems including earth, ocean and atmospheric variables, environmental and ecological parameters, population health states, disease indicators, and social and economic characteristics Includes case studies and practice exercises at the end of each chapter for both real-world applications and deeper understanding of the concepts presented

Computational Science – ICCS 2008

Author : Marian Bubak
Publisher : Springer Science & Business Media
ISBN 13 : 3540693866
Total Pages : 771 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Computational Science – ICCS 2008 by : Marian Bubak

Download or read book Computational Science – ICCS 2008 written by Marian Bubak and published by Springer Science & Business Media. This book was released on 2008-06-11 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three-volume set LNCS 5101-5103 constitutes the refereed proceedings of the 8th International Conference on Computational Science, ICCS 2008, held in Krakow, Poland in June 2008. The 167 revised papers of the main conference track presented together with the abstracts of 7 keynote talks and the 100 revised papers from 14 workshops were carefully reviewed and selected for inclusion in the three volumes. The main conference track was divided into approximately 20 parallel sessions addressing topics such as e-science applications and systems, scheduling and load balancing, software services and tools, new hardware and its applications, computer networks, simulation of complex systems, image processing and visualization, optimization techniques, numerical linear algebra, and numerical algorithms. The second volume contains workshop papers related to various computational research areas, e.g.: computer graphics and geometric modeling, simulation of multiphysics multiscale systems, computational chemistry and its applications, computational finance and business intelligence, physical, biological and social networks, geocomputation, and teaching computational science. The third volume is mostly related to computer science topics such as bioinformatics' challenges to computer science, tools for program development and analysis in computational science, software engineering for large-scale computing, collaborative and cooperative environments, applications of workflows in computational science, as well as intelligent agents and evolvable systems.

Value of Information in the Earth Sciences

Author : Jo Eidsvik
Publisher : Cambridge University Press
ISBN 13 : 1316432122
Total Pages : 624 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Value of Information in the Earth Sciences by : Jo Eidsvik

Download or read book Value of Information in the Earth Sciences written by Jo Eidsvik and published by Cambridge University Press. This book was released on 2015-11-19 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathering the right kind and the right amount of information is crucial for any decision-making process. This book presents a unified framework for assessing the value of potential data gathering schemes by integrating spatial modelling and decision analysis, with a focus on the Earth sciences. The authors discuss the value of imperfect versus perfect information, and the value of total versus partial information, where only subsets of the data are acquired. Concepts are illustrated using a suite of quantitative tools from decision analysis, such as decision trees and influence diagrams, as well as models for continuous and discrete dependent spatial variables, including Bayesian networks, Markov random fields, Gaussian processes, and multiple-point geostatistics. Unique in scope, this book is of interest to students, researchers and industry professionals in the Earth and environmental sciences, who use applied statistics and decision analysis techniques, and particularly to those working in petroleum, mining, and environmental geoscience.

Encyclopedia of Mathematical Geosciences

Author : B. S. Daya Sagar
Publisher : Springer Nature
ISBN 13 : 3030850404
Total Pages : 1744 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Encyclopedia of Mathematical Geosciences by : B. S. Daya Sagar

Download or read book Encyclopedia of Mathematical Geosciences written by B. S. Daya Sagar and published by Springer Nature. This book was released on 2023-07-13 with total page 1744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written around 350 separate articles on different topics of mathematical geosciences including contributions on Artificial Intelligence, Big Data, Compositional Data Analysis, Geomathematics, Geostatistics, Geographical Information Science, Mathematical Morphology, Mathematical Petrology, Multifractals, Multiple Point Statistics, Spatial Data Science, Spatial Statistics, and Stochastic Process Modeling. Each topic incorporates cross-referencing to related articles, and also has its own reference list to lead the reader to essential articles within the published literature. The entries are arranged alphabetically, for easy access, and the subject and author indices are comprehensive and extensive.

Random Fields for Spatial Data Modeling

Author : Dionissios T. Hristopulos
Publisher : Springer
ISBN 13 : 9789402419160
Total Pages : 867 pages
Book Rating : 4.4/5 (191 download)

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Book Synopsis Random Fields for Spatial Data Modeling by : Dionissios T. Hristopulos

Download or read book Random Fields for Spatial Data Modeling written by Dionissios T. Hristopulos and published by Springer. This book was released on 2020-02-18 with total page 867 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an inter-disciplinary introduction to the theory of random fields and its applications. Spatial models and spatial data analysis are integral parts of many scientific and engineering disciplines. Random fields provide a general theoretical framework for the development of spatial models and their applications in data analysis. The contents of the book include topics from classical statistics and random field theory (regression models, Gaussian random fields, stationarity, correlation functions) spatial statistics (variogram estimation, model inference, kriging-based prediction) and statistical physics (fractals, Ising model, simulated annealing, maximum entropy, functional integral representations, perturbation and variational methods). The book also explores links between random fields, Gaussian processes and neural networks used in machine learning. Connections with applied mathematics are highlighted by means of models based on stochastic partial differential equations. An interlude on autoregressive time series provides useful lower-dimensional analogies and a connection with the classical linear harmonic oscillator. Other chapters focus on non-Gaussian random fields and stochastic simulation methods. The book also presents results based on the author’s research on Spartan random fields that were inspired by statistical field theories originating in physics. The equivalence of the one-dimensional Spartan random field model with the classical, linear, damped harmonic oscillator driven by white noise is highlighted. Ideas with potentially significant computational gains for the processing of big spatial data are presented and discussed. The final chapter concludes with a description of the Karhunen-Loève expansion of the Spartan model. The book will appeal to engineers, physicists, and geoscientists whose research involves spatial models or spatial data analysis. Anyone with background in probability and statistics can read at least parts of the book. Some chapters will be easier to understand by readers familiar with differential equations and Fourier transforms.

Random Fields for Spatial Data Modeling

Author : Dionissios T. Hristopulos
Publisher : Springer Nature
ISBN 13 : 9402419187
Total Pages : 884 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis Random Fields for Spatial Data Modeling by : Dionissios T. Hristopulos

Download or read book Random Fields for Spatial Data Modeling written by Dionissios T. Hristopulos and published by Springer Nature. This book was released on 2020-02-17 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an inter-disciplinary introduction to the theory of random fields and its applications. Spatial models and spatial data analysis are integral parts of many scientific and engineering disciplines. Random fields provide a general theoretical framework for the development of spatial models and their applications in data analysis. The contents of the book include topics from classical statistics and random field theory (regression models, Gaussian random fields, stationarity, correlation functions) spatial statistics (variogram estimation, model inference, kriging-based prediction) and statistical physics (fractals, Ising model, simulated annealing, maximum entropy, functional integral representations, perturbation and variational methods). The book also explores links between random fields, Gaussian processes and neural networks used in machine learning. Connections with applied mathematics are highlighted by means of models based on stochastic partial differential equations. An interlude on autoregressive time series provides useful lower-dimensional analogies and a connection with the classical linear harmonic oscillator. Other chapters focus on non-Gaussian random fields and stochastic simulation methods. The book also presents results based on the author’s research on Spartan random fields that were inspired by statistical field theories originating in physics. The equivalence of the one-dimensional Spartan random field model with the classical, linear, damped harmonic oscillator driven by white noise is highlighted. Ideas with potentially significant computational gains for the processing of big spatial data are presented and discussed. The final chapter concludes with a description of the Karhunen-Loève expansion of the Spartan model. The book will appeal to engineers, physicists, and geoscientists whose research involves spatial models or spatial data analysis. Anyone with background in probability and statistics can read at least parts of the book. Some chapters will be easier to understand by readers familiar with differential equations and Fourier transforms.

Spatiotemporal Environmental Health Modelling: A Tractatus Stochasticus

Author : George Christakos
Publisher : Springer Science & Business Media
ISBN 13 : 1475728115
Total Pages : 411 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Spatiotemporal Environmental Health Modelling: A Tractatus Stochasticus by : George Christakos

Download or read book Spatiotemporal Environmental Health Modelling: A Tractatus Stochasticus written by George Christakos and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatiotemporal Environmental Health Modelling: A Tractatus Stochasticus provides a holistic, conceptual and quantitative framework for Environmental Health Modelling in space-time. The holistic framework integrates two aspects of Environmental Health Science that have been previously treated separately: the environmental aspect, which involves the natural processes that bring about human exposure to harmful substances; and the health aspect, which focuses on the interactions of these substances with the human body. Some of the fundamental issues addressed in this work include variability, scale, uncertainty, and space-time connectivity. These topics are important in the characterization of natural systems and health processes. Spatiotemporal Environmental Health Modelling: A Tractatus Stochasticus explains why modern stochastics is the appropriate mechanical vehicle for addressing such issues in a rigorous way. In particular, modern stochastics incorporates concepts and methods from probability, classical statistics, geostatistics, statistical mechanics and field theory. The authors present a synthetic view of environmental health that embraces all of the various components and focuses on their mutual interactions. Spatiotemporal Environmental Health Modeling: A Tractatus Stochasticus includes new material on Bayesian maximum entropy estimation techniques and space-time random field estimation methods. The authors show why these methods have clear advantages over the classical geostatistical estimation procedures and how they can be used to provide accurate space-time maps of environmental health processes. Also included are expositions of diagrammatic perturbation and renormalization group analysis, which have not been previously discussed within the context of Environmental Health. Finally, the authors present stochastic indicators that can be used for large-scale characterization of contamination and investigations of health effects at the microscopic level. This book will be a useful reference to both researchers and practitioners of Environmental Health Sciences. It will appeal specifically to environmental engineers, geographers, geostatisticians, earth scientists, toxicologists, epidemiologists, pharmacologists, applied mathematicians, physicists and biologists.

Statistics in the Environmental & Earth Sciences

Author : Andrew T. Walden
Publisher : Hodder Education
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Statistics in the Environmental & Earth Sciences by : Andrew T. Walden

Download or read book Statistics in the Environmental & Earth Sciences written by Andrew T. Walden and published by Hodder Education. This book was released on 1992 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geostatistics with Applications in Earth Sciences

Author : D.D. Sarma
Publisher : Springer Science & Business Media
ISBN 13 : 1402093802
Total Pages : 219 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Geostatistics with Applications in Earth Sciences by : D.D. Sarma

Download or read book Geostatistics with Applications in Earth Sciences written by D.D. Sarma and published by Springer Science & Business Media. This book was released on 2010-09-30 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geostatistics is expanding very fast: concept- and technique-wise. Keeping in view the importance of the subject, it was thought appropriate to bring out the second edition of this book. In this process, Chapter I has been expanded In Chapter 2, incorporating more details on sampling and sampling designs. a section on simulation has been introduced with emphasis on Monte-Carlo simulation with worked out examples. In Chapter 5, a procedure to compute variogram in the case of irregular grid has been outlined. Minor modifications have been made in all other chapters. A new chapter on Introduction to Advanced Geostatistics has been introduced with discussions on universal kriging, disjunctive kriging, conditional simulation and median polish kriging. Review Questions are given at the end of each chapter to facilitate a better understanding of the subject by the student/practitioner. The software codes are put in a CD for convenience of the students/practitoner of geostatistics. A few additions have been made in the bibliography making it more exhaustive. This contains references to the concepts and methods presented, in-depth treatment of related topics and possible extensions. My grateful thanks are due to Dr. B.S. Saini, Principal, Guru Nanak Engg. College, Hyderabad for very helpful support. I hope that this edition will be a welcome one.

Spatial Modeling in GIS and R for Earth and Environmental Sciences

Author : Hamid Reza Pourghasemi
Publisher : Elsevier
ISBN 13 : 0128156953
Total Pages : 798 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Spatial Modeling in GIS and R for Earth and Environmental Sciences by : Hamid Reza Pourghasemi

Download or read book Spatial Modeling in GIS and R for Earth and Environmental Sciences written by Hamid Reza Pourghasemi and published by Elsevier. This book was released on 2019-01-18 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial Modeling in GIS and R for Earth and Environmental Sciences offers an integrated approach to spatial modelling using both GIS and R. Given the importance of Geographical Information Systems and geostatistics across a variety of applications in Earth and Environmental Science, a clear link between GIS and open source software is essential for the study of spatial objects or phenomena that occur in the real world and facilitate problem-solving. Organized into clear sections on applications and using case studies, the book helps researchers to more quickly understand GIS data and formulate more complex conclusions. The book is the first reference to provide methods and applications for combining the use of R and GIS in modeling spatial processes. It is an essential tool for students and researchers in earth and environmental science, especially those looking to better utilize GIS and spatial modeling. Offers a clear, interdisciplinary guide to serve researchers in a variety of fields, including hazards, land surveying, remote sensing, cartography, geophysics, geology, natural resources, environment and geography Provides an overview, methods and case studies for each application Expresses concepts and methods at an appropriate level for both students and new users to learn by example

Modern Spatiotemporal Geostatistics

Author : George Christakos
Publisher : Courier Corporation
ISBN 13 : 0486488187
Total Pages : 305 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Modern Spatiotemporal Geostatistics by : George Christakos

Download or read book Modern Spatiotemporal Geostatistics written by George Christakos and published by Courier Corporation. This book was released on 2012-01-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Oxford; New York: Oxford University Press, 2000.

The Professional Geologist

Author :
Publisher :
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Professional Geologist by :

Download or read book The Professional Geologist written by and published by . This book was released on 1993 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiple-point Geostatistics

Author : Professor Gregoire Mariethoz
Publisher : John Wiley & Sons
ISBN 13 : 1118662938
Total Pages : 376 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Multiple-point Geostatistics by : Professor Gregoire Mariethoz

Download or read book Multiple-point Geostatistics written by Professor Gregoire Mariethoz and published by John Wiley & Sons. This book was released on 2014-10-16 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to multiple-point geostatistics, where spatial continuity is described using training images. Multiple-point geostatistics aims at bridging the gap between physical modelling/realism and spatio-temporal stochastic modelling. The book provides an overview of this new field in three parts. Part I presents a conceptual comparison between traditional random function theory and stochastic modelling based on training images, where random function theory is not always used. Part II covers in detail various algorithms and methodologies starting from basic building blocks in statistical science and computer science. Concepts such as non-stationary and multi-variate modeling, consistency between data and model, the construction of training images and inverse modelling are treated. Part III covers three example application areas, namely, reservoir modelling, mineral resources modelling and climate model downscaling. This book will be an invaluable reference for students, researchers and practitioners of all areas of the Earth Sciences where forecasting based on spatio-temporal data is performed.