Compositional Data Analysis in the Geosciences

Compositional Data Analysis in the Geosciences
Author: Antonella Buccianti
Publisher: Geological Society of London
Total Pages: 232
Release: 2006
Genre: Mathematics
ISBN: 9781862392052

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.

Quantitative Geosciences: Data Analytics, Geostatistics, Reservoir Characterization and Modeling

Quantitative Geosciences: Data Analytics, Geostatistics, Reservoir Characterization and Modeling
Author: Y. Z. Ma
Publisher: Springer
Total Pages: 646
Release: 2019-07-15
Genre: Technology & Engineering
ISBN: 3030178609

Earth science is becoming increasingly quantitative in the digital age. Quantification of geoscience and engineering problems underpins many of the applications of big data and artificial intelligence. This book presents quantitative geosciences in three parts. Part 1 presents data analytics using probability, statistical and machine-learning methods. Part 2 covers reservoir characterization using several geoscience disciplines: including geology, geophysics, petrophysics and geostatistics. Part 3 treats reservoir modeling, resource evaluation and uncertainty analysis using integrated geoscience, engineering and geostatistical methods. As the petroleum industry is heading towards operating oil fields digitally, a multidisciplinary skillset is a must for geoscientists who need to use data analytics to resolve inconsistencies in various sources of data, model reservoir properties, evaluate uncertainties, and quantify risk for decision making. This book intends to serve as a bridge for advancing the multidisciplinary integration for digital fields. The goal is to move beyond using quantitative methods individually to an integrated descriptive-quantitative analysis. In big data, everything tells us something, but nothing tells us everything. This book emphasizes the integrated, multidisciplinary solutions for practical problems in resource evaluation and field development.

Compositional Data Analysis

Compositional Data Analysis
Author: Vera Pawlowsky-Glahn
Publisher: John Wiley & Sons
Total Pages: 405
Release: 2011-09-19
Genre: Mathematics
ISBN: 0470711353

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.

Introduction to Python in Earth Science Data Analysis

Introduction to Python in Earth Science Data Analysis
Author: Maurizio Petrelli
Publisher: Springer Nature
Total Pages: 229
Release: 2021-09-16
Genre: Science
ISBN: 3030780554

This textbook introduces the use of Python programming for exploring and modelling data in the field of Earth Sciences. It drives the reader from his very first steps with Python, like setting up the environment and starting writing the first lines of codes, to proficient use in visualizing, analyzing, and modelling data in the field of Earth Science. Each chapter contains explicative examples of code, and each script is commented in detail. The book is minded for very beginners in Python programming, and it can be used in teaching courses at master or PhD levels. Also, Early careers and experienced researchers who would like to start learning Python programming for the solution of geological problems will benefit the reading of the book.

Statistics and Data Analysis in Geology

Statistics and Data Analysis in Geology
Author: John C. Davis
Publisher: John Wiley & Sons
Total Pages: 0
Release: 2011
Genre: Geology
ISBN:

Special Features: · Offers a comprehensive treatment of statistics in geology.· Topics progress from background information to analysis of geological sequences, then maps, and finally multivariate observations.· The book places special emphasis on probability and statistics, including nonparametric statistics, constant-sum data, eigenvalue calculations, analysis of directional data, mapping and geostatistics, fractals, and multivariate analysis.· The text now includes numerous geological data sets that illustrate how specific computational procedures can be applied to problems in the Earth sciences. All data sets are available on the book's companion Web site.· Each chapter now ends with a set of exercises of greater or lesser complexity that the student can address using methods discussed in the chapter.· Provides expanded coverage of elementary probability theory.· The discussion of nonparametric methods has been expanded to address closure effects.· Coverage of eigenvalues and eigenvectors has been revised.· Includes a new section on singular value decomposition and the relationship between R- and Q-mode factor methods in the chapter on multivariate analysis.· The section on contour mapping has been revised to reflect modern practices.· Includes revised coverage of the many varieties of kriging and provides of series of simple demonstrations that illustrate how geostatistical methodologies work.· Includes a discussion of fractals, a promising area of future research.· The section on regression has been expanded to include several variants that have special significance in the Earth sciences.

Statistics for Geoscientists

Statistics for Geoscientists
Author: D. Marsal
Publisher: Elsevier
Total Pages: 187
Release: 2014-06-28
Genre: Mathematics
ISBN: 148329613X

Presents nearly all the important elementary and analytical methods of statistics, designed for the needs of the geoscientist and completely free from higher mathematics. Translated from the second German edition.

Statistics of Earth Science Data

Statistics of Earth Science Data
Author: Graham J. Borradaile
Publisher: Springer Science & Business Media
Total Pages: 371
Release: 2013-11-11
Genre: Technology & Engineering
ISBN: 3662052237

From the reviews: "All in all, Graham Borradaile has written and interesting and idiosyncratic book on statistics for geoscientists that will be welcome among students, researchers, and practitioners dealing with orientation data. That should include engineering geologists who work with things like rock fracture orientation measurements or clast alignment in paleoseismic trenches. It won’t replace the collection of statistics and geostatistics texts in my library, but it will have a place among them and will likely be one of several references to which I turn when working with orientation data.... The text is easy to follow and illustrations are generally clear and easy to read..."(William C. Haneberg, Haneberg Geoscience)

Data Analysis for the Geosciences

Data Analysis for the Geosciences
Author: Michael W. Liemohn
Publisher: John Wiley & Sons
Total Pages: 452
Release: 2023-11-07
Genre: Science
ISBN: 1119747872

An initial course in scientific data analysis and hypothesis testing designed for students in all science, technology, engineering, and mathematics disciplines Data Analysis for the Geosciences: Essentials of Uncertainty, Comparison, and Visualization is a textbook for upper-level undergraduate STEM students, designed to be their statistics course in a degree program. This volume provides a comprehensive introduction to data analysis, visualization, and data-model comparisons and metrics, within the framework of the uncertainty around the values. It offers a learning experience based on real data from the Earth, ocean, atmospheric, space, and planetary sciences. Volume highlights include: Serves as an initial course in scientific data analysis and hypothesis testing Focuses on the methods of data processing Introduces a wide range of analysis techniques Describes the many ways to compare data with models Centers on applications rather than derivations Explains how to select appropriate statistics for meaningful decisions Explores the importance of the concept of uncertainty Uses examples from real geoscience observations Homework problems at the end of chapters The American Geophysical Union promotes discovery in Earth and space science for the benefit of humanity. Its publications disseminate scientific knowledge and provide resources for researchers, students, and professionals.

MATLAB® Recipes for Earth Sciences

MATLAB® Recipes for Earth Sciences
Author: Martin H. Trauth
Publisher: Springer Science & Business Media
Total Pages: 294
Release: 2007
Genre: Computers
ISBN: 3540727485

Introduces methods of data analysis in geosciences using MATLAB such as basic statistics for univariate, bivariate and multivariate datasets, jackknife and bootstrap resampling schemes, processing of digital elevation models, gridding and contouring, geostatistics and kriging, processing and georeferencing of satellite images, digitizing from the screen, linear and nonlinear time-series analysis and the application of linear time-invariant and adaptive filters. Includes a brief description of each method and numerous examples demonstrating how MATLAB can be used on data sets from earth sciences.