Matheron's Theory of Regionalised Variables

Matheron's Theory of Regionalised Variables

Author: Georges Matheron

Publisher: Oxford University Press

Published: 2019-04-17

Total Pages: 224

ISBN-13: 0192572652

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In the summer of 1970, Georges Matheron, the father of geostatistics, presented a series of lectures at the Centre de Morphologie Mathmatique in France. These lectures would go on to become Matheron's Theory of Regionalized Variables, a seminal work that would inspire hundreds of papers and become the bedrock of numerous theses and books on the topic; however, despite their importance, the notes were never formally published. In this volume, Matheron's influential work is presented as a published book for the first time. Originally translated into English by Charles Huijbregts, and carefully curated here, this book stays faithful to Matheron's original notes. The text has been ordered with a common structure, and equations and figures have been redrawn and numbered sequentially for ease of reference. While not containing any mathematical technicalities or case studies, the reader is invited to wonder about the physical meaning of the notions Matheron deals with. When Matheron wrote them, he considered the theory of linear geostatistics complete and the book his final one on the subject; however, this end for Matheron has been the starting point for most geostatisticians.


Model-based Geostatistics

Model-based Geostatistics

Author: Peter Diggle

Publisher: Springer Science & Business Media

Published: 2007-05-26

Total Pages: 242

ISBN-13: 0387485368

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This volume is the first book-length treatment of model-based geostatistics. The text is expository, emphasizing statistical methods and applications rather than the underlying mathematical theory. Analyses of datasets from a range of scientific contexts feature prominently, and simulations are used to illustrate theoretical results. Readers can reproduce most of the computational results in the book by using the authors' software package, geoR, whose usage is illustrated in a computation section at the end of each chapter. The book assumes a working knowledge of classical and Bayesian methods of inference, linear models, and generalized linear models.


Numerical Ecology

Numerical Ecology

Author: P. Legendre

Publisher: Elsevier

Published: 2012-07-21

Total Pages: 1007

ISBN-13: 0444538690

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The book describes and discusses the numerical methods which are successfully being used for analysing ecological data, using a clear and comprehensive approach. These methods are derived from the fields of mathematical physics, parametric and nonparametric statistics, information theory, numerical taxonomy, archaeology, psychometry, sociometry, econometry and others. - An updated, 3rd English edition of the most widely cited book on quantitative analysis of multivariate ecological data - Relates ecological questions to methods of statistical analysis, with a clear description of complex numerical methods - All methods are illustrated by examples from the ecological literature so that ecologists clearly see how to use the methods and approaches in their own research - All calculations are available in R language functions


Metric Spaces Of Fuzzy Sets: Theory And Applications

Metric Spaces Of Fuzzy Sets: Theory And Applications

Author: Phil Diamond

Publisher: World Scientific

Published: 1994-05-28

Total Pages: 190

ISBN-13: 9814518115

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The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ℜn. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis.This book is distinctly mathematical in its orientation and style, in contrast with many of the other books now available on fuzzy sets, which, although all making use of mathematical formalism to some extent, are essentially motivated by and oriented towards more immediate applications and related practical issues. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.


Geostatistics

Geostatistics

Author: M. Armstrong

Publisher: Springer Science & Business Media

Published: 2013-12-11

Total Pages: 1059

ISBN-13: 9401568448

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ACKNOWLEDGEMENTS xvii LIST OF PARTICIPANTS xix PLENARY SESSIQNS KRIGE D.G., GUARASCIO M. and CAMISANI-CALZOLARI F.A. Early South African qeostatistical techniques in today's perspective ... 1 MATHERON G. The internal consistency of models in qeostatistics ... 21 MONESTIEZ P., HABIB R. and AUDERGON J.M. Estimation de la covariance et du varioqramme pour une fonction aleatoire a support arborescent : application a l'etude des arbres fruitiers ... 39 CHILES J.P. Modelisation qeostatistique de reseaux de fractures ... 57 BRUNO R. and RASPA G. Geostatistical characterization of fractal models of surfaces 17 RIVOIRARD J. Models with orthoqonal indicator residuals ... 91 OMRE H., HALVORSEN K.B. and BERTEIG V.A Bayesian approach to kriqinq ... 109 THEQRY I SWITZER P. Non-stationary spatial covariances estimated from monitorinq data ... 127 CHAUVET P. Quelques aspects de l'analyse structurale des FAI-k a 1 dimension ... 139 vi TABLE OF CONTENTS DOWD P.A. Generalised cross-covariances ... 151 CRESSIE N. The many faces of spatial prediction ..-- ... - ... --.-.-..-. 163 OBLED C. & BRAUD I. Analogies entre geostatistique et analyse en composantes principales de processus ou analyse EOFs ... 177 THEORY II JEULIN D. Sequential random functions models ... 189 CHAUTRU J.M. The use of Boolean random functions in geostatistics -.--.-- ... 201 SOARES A.O. Use of a mathematical morphology tool in characterizing covariance & of indicator data ... 213 ALLISON H.J. Regularization in geostatistics and in ill-posed inversed problems ... - . . - . - . . - ... - - ... 225 DONG A.


Geological and Geostatistical Aquifer Characterization of Wajid Sandstone, Saudi Arabia

Geological and Geostatistical Aquifer Characterization of Wajid Sandstone, Saudi Arabia

Author: Osman Abdullatif

Publisher: Springer Nature

Published: 2022-11-26

Total Pages: 283

ISBN-13: 3031121910

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The book summarizes research work on the Wajid Sandstone, which provides integrated field and laboratory data to enable a detailed description of this unit including a facies analysis, porosity data, as well as permeability data to establish aquifer models. Detailed facies analysis at outcrop scale are supported by vertical and lateral sedimentological sections, facies and environmental analysis and supplemented by detailed laboratory petrographical and petrophysical data. The analysis and interpretation of the outcrop analog models include the reconstruction of the stratigraphic architecture at outcrop scale. Moreover, the results were described statistically, analyzed and eventually establish an outcrop-based aquifer model analogue. The book benefits undergraduate, graduate and researchers working on applied sedimentological studies, hydrogeology, statistical and geostatistical analysis and modeling.


Key Methods in Geography

Key Methods in Geography

Author: Nicholas Clifford

Publisher: SAGE

Published: 2003-06-06

Total Pages: 594

ISBN-13: 9780761974925

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Key Methods in Geography is an introduction for undergraduates to the principal methodological issues involved in the collection, analysis and presentation of geographical information. It provides an accessible primer, which will be used by students as a reference throughout their degree, on all issues from research design to presentation. A unique feature of the book is that it provides definitions of terms from both human geography and physical geography. Organized into four parts: Getting Started in Geographical Research; Data Collection in Human Geography; Data Collection in Physical Geography; Analyzing and Representing Geographical Data. Each chapter is comprised of a short definition, a summary of the principal arguments, a substantive 5,000-word discussion, the use of real-life examples, and annotated notes for further reading. The teaching of research methods is integral in all geography courses. Key Methods in Geography identifies the key analytical and observational strategies with which all geography undergraduates should be conversant.


Archaeological Spatial Analysis

Archaeological Spatial Analysis

Author: Mark Gillings

Publisher: Routledge

Published: 2020-01-16

Total Pages: 484

ISBN-13: 1351243845

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Effective spatial analysis is an essential element of archaeological research; this book is a unique guide to choosing the appropriate technique, applying it correctly and understanding its implications both theoretically and practically. Focusing upon the key techniques used in archaeological spatial analysis, this book provides the authoritative, yet accessible, methodological guide to the subject which has thus far been missing from the corpus. Each chapter tackles a specific technique or application area and follows a clear and coherent structure. First is a richly referenced introduction to the particular technique, followed by a detailed description of the methodology, then an archaeological case study to illustrate the application of the technique, and conclusions that point to the implications and potential of the technique within archaeology. The book is designed to function as the main textbook for archaeological spatial analysis courses at undergraduate and post-graduate level, while its user-friendly structure makes it also suitable for self-learning by archaeology students as well as researchers and professionals.


Matheron's Theory of Regionalized Variables

Matheron's Theory of Regionalized Variables

Author: Georges Matheron

Publisher:

Published: 2019

Total Pages:

ISBN-13: 9780191873249

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In the summer of 1970, Georges Matheron, the father of geostatistics, presented a series of lectures at the Centre de Morphologie Mathmatique in France. These lectures would go on to become 'Matheron's Theory of Regionalized Variables,' a seminal work that would inspire hundreds of papers and become the bedrock of numerous theses and books on the topic; however, despite their importance, the notes were never formally published. In this volume, Matheron's influential work is presented as a published book for the first time.


Dictionary of Mathematical Geosciences

Dictionary of Mathematical Geosciences

Author: Richard J. Howarth

Publisher: Springer

Published: 2017-05-27

Total Pages: 892

ISBN-13: 3319573152

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This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature. Each technical term used in the explanations can be found in the dictionary which also includes explanations of basics, such as trigonometric functions and logarithms. There are also citations from the relevant literature to show the term’s first use in mathematics, statistics, etc. and its subsequent usage in geosciences.