Geostatistics For Compositional Data With R

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Geostatistics for Compositional Data with R

Raimon Tolosana-Delgado,Ute Mueller
Geostatistics for Compositional Data with R Book PDF

Author : Raimon Tolosana-Delgado,Ute Mueller
Publisher : Springer Nature
Page : 275 pages
File Size : 53,8 Mb
Release : 2021-11-19
Category : Mathematics
ISBN : 9783030825683

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Geostatistics for Compositional Data with R by Raimon Tolosana-Delgado,Ute Mueller Pdf

This book provides a guided approach to the geostatistical modelling of compositional spatial data. These data are data in proportions, percentages or concentrations distributed in space which exhibit spatial correlation. The book can be divided into four blocks. The first block sets the framework and provides some background on compositional data analysis. Block two introduces compositional exploratory tools for both non-spatial and spatial aspects. Block three covers all necessary facets of multivariate spatial prediction for compositional data: variogram modelling, cokriging and validation. Finally, block four details strategies for simulation of compositional data, including transformations to multivariate normality, Gaussian cosimulation, multipoint simulation of compositional data, and common postprocessing techniques, valid for both Gaussian and multipoint methods. All methods are illustrated via applications to two types of data sets: one a large-scale geochemical survey, comprised of a full suite of geochemical variables, and the other from a mining context, where only the elements of greatest importance are considered. R codes are included for all aspects of the methodology, encapsulated in the R package "gmGeostats", available in CRAN.

Analyzing Compositional Data with R

K. Gerald van den Boogaart,Raimon Tolosana-Delgado
Analyzing Compositional Data with R Book PDF

Author : K. Gerald van den Boogaart,Raimon Tolosana-Delgado
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 46,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783642368097

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Analyzing Compositional Data with R by K. Gerald van den Boogaart,Raimon Tolosana-Delgado Pdf

This book presents the statistical analysis of compositional data sets, i.e., data in percentages, proportions, concentrations, etc. The subject is covered from its grounding principles to the practical use in descriptive exploratory analysis, robust linear models and advanced multivariate statistical methods, including zeros and missing values, and paying special attention to data visualization and model display issues. Many illustrated examples and code chunks guide the reader into their modeling and interpretation. And, though the book primarily serves as a reference guide for the R package “compositions,” it is also a general introductory text on Compositional Data Analysis. Awareness of their special characteristics spread in the Geosciences in the early sixties, but a strategy for properly dealing with them was not available until the works of Aitchison in the eighties. Since then, research has expanded our understanding of their theoretical principles and the potentials and limitations of their interpretation. This is the first comprehensive textbook addressing these issues, as well as their practical implications with regard to software. The book is intended for scientists interested in statistically analyzing their compositional data. The subject enjoys relatively broad awareness in the geosciences and environmental sciences, but the spectrum of recent applications also covers areas like medicine, official statistics, and economics. Readers should be familiar with basic univariate and multivariate statistics. Knowledge of R is recommended but not required, as the book is self-contained.

Geostatistical Analysis of Compositional Data

Vera Pawlowsky-Glahn,Ricardo A. Olea
Geostatistical Analysis of Compositional Data Book PDF

Author : Vera Pawlowsky-Glahn,Ricardo A. Olea
Publisher : Oxford University Press
Page : 304 pages
File Size : 42,5 Mb
Release : 2004-06-03
Category : Science
ISBN : 9780190291372

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Geostatistical Analysis of Compositional Data by Vera Pawlowsky-Glahn,Ricardo A. Olea Pdf

Geostatistical Analysis of Compositional Data provides a comprehensive coverage of the theory and practice of analysis of data that have both spatial and compositional dependence, characteristics of most earth science and environmental measurements.

Applied Compositional Data Analysis

Peter Filzmoser,Karel Hron,Matthias Templ
Applied Compositional Data Analysis Book PDF

Author : Peter Filzmoser,Karel Hron,Matthias Templ
Publisher : Springer
Page : 280 pages
File Size : 48,5 Mb
Release : 2018-11-03
Category : Mathematics
ISBN : 9783319964225

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Applied Compositional Data Analysis by Peter Filzmoser,Karel Hron,Matthias Templ Pdf

This book presents the statistical analysis of compositional data using the log-ratio approach. It includes a wide range of classical and robust statistical methods adapted for compositional data analysis, such as supervised and unsupervised methods like PCA, correlation analysis, classification and regression. In addition, it considers special data structures like high-dimensional compositions and compositional tables. The methodology introduced is also frequently compared to methods which ignore the specific nature of compositional data. It focuses on practical aspects of compositional data analysis rather than on detailed theoretical derivations, thus issues like graphical visualization and preprocessing (treatment of missing values, zeros, outliers and similar artifacts) form an important part of the book. Since it is primarily intended for researchers and students from applied fields like geochemistry, chemometrics, biology and natural sciences, economics, and social sciences, all the proposed methods are accompanied by worked-out examples in R using the package robCompositions.

Compositional Data Analysis

Vera Pawlowsky-Glahn,Antonella Buccianti
Compositional Data Analysis Book PDF

Author : Vera Pawlowsky-Glahn,Antonella Buccianti
Publisher : John Wiley & Sons
Page : 401 pages
File Size : 43,5 Mb
Release : 2011-09-19
Category : Mathematics
ISBN : 9780470711354

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Compositional Data Analysis by Vera Pawlowsky-Glahn,Antonella Buccianti Pdf

It is difficult to imagine that the statistical analysis of compositional data has been a major issue of concern for more than 100 years. It is even more difficult to realize that so many statisticians and users of statistics are unaware of the particular problems affecting compositional data, as well as their solutions. The issue of ``spurious correlation'', as the situation was phrased by Karl Pearson back in 1897, affects all data that measures parts of some whole, such as percentages, proportions, ppm and ppb. Such measurements are present in all fields of science, ranging from geology, biology, environmental sciences, forensic sciences, medicine and hydrology. This book presents the history and development of compositional data analysis along with Aitchison's log-ratio approach. Compositional Data Analysis describes the state of the art both in theoretical fields as well as applications in the different fields of science. Key Features: Reflects the state-of-the-art in compositional data analysis. Gives an overview of the historical development of compositional data analysis, as well as basic concepts and procedures. Looks at advances in algebra and calculus on the simplex. Presents applications in different fields of science, including, genomics, ecology, biology, geochemistry, planetology, chemistry and economics. Explores connections to correspondence analysis and the Dirichlet distribution. Presents a summary of three available software packages for compositional data analysis. Supported by an accompanying website featuring R code. Applied scientists working on compositional data analysis in any field of science, both in academia and professionals will benefit from this book, along with graduate students in any field of science working with compositional data.

Geostatistical Analysis of Compositional Data

Vera Pawlowsky-Glahn,Ricardo A. Olea
Geostatistical Analysis of Compositional Data Book PDF

Author : Vera Pawlowsky-Glahn,Ricardo A. Olea
Publisher : Oxford University Press
Page : 204 pages
File Size : 43,5 Mb
Release : 2004-06-03
Category : Science
ISBN : 9780198038313

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Geostatistical Analysis of Compositional Data by Vera Pawlowsky-Glahn,Ricardo A. Olea Pdf

1. Introduction. 2. Regionalized Compositions. 3. Spatial Covariance Structure. 4. Concepts of Null Correlation. 5. Cokriging. 6. Practical Aspects of Compositional Data Analysis. 7. Application to Real Data. Summary and Prospects. References. Index

Compositional Data Analysis in the Geosciences

Antonella Buccianti,G. Mateu-Figueras,Vera Pawlowsky-Glahn
Compositional Data Analysis in the Geosciences Book PDF

Author : Antonella Buccianti,G. Mateu-Figueras,Vera Pawlowsky-Glahn
Publisher : Geological Society of London
Page : 232 pages
File Size : 42,5 Mb
Release : 2006
Category : Mathematics
ISBN : 1862392056

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Compositional Data Analysis in the Geosciences by Antonella Buccianti,G. Mateu-Figueras,Vera Pawlowsky-Glahn Pdf

Since Karl Pearson wrote his paper on spurious correlation in 1897, a lot has been said about the statistical analysis of compositional data, mainly by geologists such as Felix Chayes. The solution appeared in the 1980s, when John Aitchison proposed to use Iogratios. Since then, the approach has seen a great expansion, mainly building on the idea of the `natural geometry' of the sample space. Statistics is expected to give sense to our perception of the natural scale of the data, and this is made possible for compositional data using Iogratios. This publication will be a milestone in this process.

Advances in Compositional Data Analysis

Peter Filzmoser,Karel Hron,Josep Antoni Martín-Fernández,Javier Palarea-Albaladejo
Advances in Compositional Data Analysis Book PDF

Author : Peter Filzmoser,Karel Hron,Josep Antoni Martín-Fernández,Javier Palarea-Albaladejo
Publisher : Springer Nature
Page : 404 pages
File Size : 52,7 Mb
Release : 2021-06-01
Category : Mathematics
ISBN : 9783030711757

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Advances in Compositional Data Analysis by Peter Filzmoser,Karel Hron,Josep Antoni Martín-Fernández,Javier Palarea-Albaladejo Pdf

This book presents modern methods and real-world applications of compositional data analysis. It covers a wide variety of topics, ranging from an updated presentation of basic concepts and ideas in compositional data analysis to recent advances in the context of complex data structures. Further, it illustrates real-world applications in numerous scientific disciplines and includes references to the latest software solutions available for compositional data analysis, thus providing a valuable and up-to-date guide for researchers and practitioners working with compositional data. Featuring selected contributions by leading experts in the field, the book is dedicated to Vera Pawlowsky-Glahn on the occasion of her 70th birthday.

Encyclopedia of Mathematical Geosciences

B. S. Daya Sagar,Qiuming Cheng,Jennifer McKinley,Frits Agterberg
Encyclopedia of Mathematical Geosciences Book PDF

Author : B. S. Daya Sagar,Qiuming Cheng,Jennifer McKinley,Frits Agterberg
Publisher : Springer Nature
Page : 1744 pages
File Size : 42,9 Mb
Release : 2023-07-13
Category : Science
ISBN : 9783030850401

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Encyclopedia of Mathematical Geosciences by B. S. Daya Sagar,Qiuming Cheng,Jennifer McKinley,Frits Agterberg Pdf

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.

Handbook of Mathematical Geosciences

B.S. Daya Sagar,Qiuming Cheng,Frits Agterberg
Handbook of Mathematical Geosciences Book PDF

Author : B.S. Daya Sagar,Qiuming Cheng,Frits Agterberg
Publisher : Springer
Page : 914 pages
File Size : 49,6 Mb
Release : 2018-06-25
Category : Science
ISBN : 9783319789996

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Handbook of Mathematical Geosciences by B.S. Daya Sagar,Qiuming Cheng,Frits Agterberg Pdf

This Open Access handbook published at the IAMG's 50th anniversary, presents a compilation of invited path-breaking research contributions by award-winning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences.

Closed Loop Management in Mineral Resource Extraction

Jörg Benndorf
Closed Loop Management in Mineral Resource Extraction Book PDF

Author : Jörg Benndorf
Publisher : Springer Nature
Page : 104 pages
File Size : 46,7 Mb
Release : 2020-02-13
Category : Technology & Engineering
ISBN : 9783030409005

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Closed Loop Management in Mineral Resource Extraction by Jörg Benndorf Pdf

This book describes an innovative closed-loop concept that allows the feedback of online data from operational monitoring to create mining intelligence. The application of this concept promises significant improvements in economic and environmental key performance indicators for any mining operation. Combining theory with industrial case studies, the book guides readers through this process by providing theoretical background, addressing practical issues related to operational implementation, and illustrating the impact on selected examples. This new concept is presented using the example of a bulk and gold mining application, but is applicable at any mine where grade control is important. The book is of interest to industrial professionals involved in operational monitoring, mining intelligence, and mine planning optimization, as well as to researchers and academics in the field of applied geostatistics.

Modeling and Analysis of Compositional Data

Vera Pawlowsky-Glahn,Juan José Egozcue,Raimon Tolosana-Delgado
Modeling and Analysis of Compositional Data Book PDF

Author : Vera Pawlowsky-Glahn,Juan José Egozcue,Raimon Tolosana-Delgado
Publisher : John Wiley & Sons
Page : 272 pages
File Size : 52,8 Mb
Release : 2015-02-17
Category : Mathematics
ISBN : 9781119003113

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Modeling and Analysis of Compositional Data by Vera Pawlowsky-Glahn,Juan José Egozcue,Raimon Tolosana-Delgado Pdf

Modeling and Analysis of Compositional Data presents a practical and comprehensive introduction to the analysis of compositional data along with numerous examples to illustrate both theory and application of each method. Based upon short courses delivered by the authors, it provides a complete and current compendium of fundamental to advanced methodologies along with exercises at the end of each chapter to improve understanding, as well as data and a solutions manual which is available on an accompanying website. Complementing Pawlowsky-Glahn’s earlier collective text that provides an overview of the state-of-the-art in this field, Modeling and Analysis of Compositional Data fills a gap in the literature for a much-needed manual for teaching, self learning or consulting.

Geostatistics

Jean-Paul Chilès,Pierre Delfiner
Geostatistics Book PDF

Author : Jean-Paul Chilès,Pierre Delfiner
Publisher : John Wiley & Sons
Page : 750 pages
File Size : 51,5 Mb
Release : 2012-02-08
Category : Mathematics
ISBN : 9781118136171

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Geostatistics by Jean-Paul Chilès,Pierre Delfiner Pdf

Praise for the First Edition ". . . a readable, comprehensive volume that . . . belongs on the desk, close at hand, of any serious researcher or practitioner." Mathematical Geosciences The state of the art in geostatistics Geostatistical models and techniques such as kriging and stochastic multi-realizations exploit spatial correlations to evaluate natural resources, help optimize their development, and address environmental issues related to air and water quality, soil pollution, and forestry. Geostatistics: Modeling Spatial Uncertainty, Second Edition presents a comprehensive, up-to-date reference on the topic, now featuring the latest developments in the field. The authors explain both the theory and applications of geostatistics through a unified treatment that emphasizes methodology. Key topics that are the foundation of geostatistics are explored in-depth, including stationary and nonstationary models; linear and nonlinear methods; change of support; multivariate approaches; and conditional simulations. The Second Edition highlights the growing number of applications of geostatistical methods and discusses three key areas of growth in the field: New results and methods, including kriging very large datasets; kriging with outliers; nonse??parable space-time covariances; multipoint simulations; pluri-gaussian simulations; gradual deformation; and extreme value geostatistics Newly formed connections between geostatistics and other approaches such as radial basis functions, Gaussian Markov random fields, and data assimilation New perspectives on topics such as collocated cokriging, kriging with an external drift, discrete Gaussian change-of-support models, and simulation algorithms Geostatistics, Second Edition is an excellent book for courses on the topic at the graduate level. It also serves as an invaluable reference for earth scientists, mining and petroleum engineers, geophysicists, and environmental statisticians who collect and analyze data in their everyday work.

Geostatistical and Geospatial Approaches for the Characterization of Natural Resources in the Environment

N. Janardhana Raju
Geostatistical and Geospatial Approaches for the Characterization of Natural Resources in the Environment Book PDF

Author : N. Janardhana Raju
Publisher : Springer
Page : 969 pages
File Size : 44,7 Mb
Release : 2015-11-30
Category : Science
ISBN : 9783319186634

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Geostatistical and Geospatial Approaches for the Characterization of Natural Resources in the Environment by N. Janardhana Raju Pdf

These proceedings of the IAMG 2014 conference in New Delhi explore the current state of the art and inform readers about the latest geostatistical and space-based technologies for assessment and management in the contexts of natural resource exploration, environmental pollution, hazards and natural disaster research. The proceedings cover 3D visualization, time-series analysis, environmental geochemistry, numerical solutions in hydrology and hydrogeology, geotechnical engineering, multivariate geostatistics, disaster management, fractal modeling, petroleum exploration, geoinformatics, sedimentary basin analysis, spatiotemporal modeling, digital rock geophysics, advanced mining assessment and glacial studies, and range from the laboratory to integrated field studies. Mathematics plays a key part in the crust, mantle, oceans and atmosphere, creating climates that cause natural disasters, and influencing fundamental aspects of life-supporting systems and many other geological processes affecting Planet Earth. As such, it is essential to understand the synergy between the classical geosciences and mathematics, which can provide the methodological tools needed to tackle complex problems in modern geosciences. The development of science and technology, transforming from a descriptive stage to a more quantitative stage, involves qualitative interpretations such as conceptual models that are complemented by quantification, e.g. numerical models, fast dynamic geologic models, deterministic and stochastic models. Due to the increasing complexity of the problems faced by today’s geoscientists, joint efforts to establish new conceptual and numerical models and develop new paradigms are called for.

Information Science for Materials Discovery and Design

Turab Lookman,Francis J. Alexander,Krishna Rajan
Information Science for Materials Discovery and Design Book PDF

Author : Turab Lookman,Francis J. Alexander,Krishna Rajan
Publisher : Springer
Page : 307 pages
File Size : 42,6 Mb
Release : 2015-12-12
Category : Technology & Engineering
ISBN : 9783319238715

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Information Science for Materials Discovery and Design by Turab Lookman,Francis J. Alexander,Krishna Rajan Pdf

This book deals with an information-driven approach to plan materials discovery and design, iterative learning. The authors present contrasting but complementary approaches, such as those based on high throughput calculations, combinatorial experiments or data driven discovery, together with machine-learning methods. Similarly, statistical methods successfully applied in other fields, such as biosciences, are presented. The content spans from materials science to information science to reflect the cross-disciplinary nature of the field. A perspective is presented that offers a paradigm (codesign loop for materials design) to involve iteratively learning from experiments and calculations to develop materials with optimum properties. Such a loop requires the elements of incorporating domain materials knowledge, a database of descriptors (the genes), a surrogate or statistical model developed to predict a given property with uncertainties, performing adaptive experimental design to guide the next experiment or calculation and aspects of high throughput calculations as well as experiments. The book is about manufacturing with the aim to halving the time to discover and design new materials. Accelerating discovery relies on using large databases, computation, and mathematics in the material sciences in a manner similar to the way used to in the Human Genome Initiative. Novel approaches are therefore called to explore the enormous phase space presented by complex materials and processes. To achieve the desired performance gains, a predictive capability is needed to guide experiments and computations in the most fruitful directions by reducing not successful trials. Despite advances in computation and experimental techniques, generating vast arrays of data; without a clear way of linkage to models, the full value of data driven discovery cannot be realized. Hence, along with experimental, theoretical and computational materials science, we need to add a “fourth leg’’ to our toolkit to make the “Materials Genome'' a reality, the science of Materials Informatics.