Geochemical Modelling of Igneous Processes – Principles And Recipes in R Language: Bringing the Power of R to a Geochemical Community (Springer Geochemistry)

The aim of this book is to unlock the power of the freeware R language to advanced university students and researchers dealing with whole-rock geochemistry of (meta-) igneous rocks. The first part covers data input/output, calculation of commonly used indexes and plotting in R. The core of the book then focusses on the presentation and practical implementations of modelling techniques used for fingerprinting processes such as partial melting, fractional crystallization, binary mixing or AFC using major-, trace-element and radiogenic isotope data. The reader will be given a firm theoretical basis for forward/reverse modelling, followed by exercises dealing with typical problems likely to be encountered in real life, and their solutions using R. The concluding sections demonstrate, using practical examples, how a researcher can proceed in developing a realistic model simulating natural systems. The appendices outline the fundamentals of the R language and provide a quick introduction to the open-source R-package __GCDkit__ for interpretation of whole-rock geochemical data from igneous and metamorphic rocks. Front Matter....Pages i-xxviii Introduction....Pages 1-7 Front Matter....Pages 9-9 Data Manipulation and Simple Calculations....Pages 11-25 Classical Plots....Pages 27-43 Specialized Plots....Pages 45-51 Radiogenic Isotopes....Pages 53-66 Front Matter....Pages 67-67 Direct Models....Pages 69-80 Reverse Models....Pages 81-83 Forward Modelling in R....Pages 85-92 Reverse Modelling in R....Pages 93-97 Front Matter....Pages 99-100 Dilute Trace Elements: Partition Coefficients....Pages 101-104 Direct (dilute) Trace-Element Models....Pages 105-124 Reverse (dilute) Trace-Element Models....Pages 125-128 Trace Elements as Essential Structural Constituents of Accessory Minerals: The Solubility Concept....Pages 129-140 Forward Modelling in R....Pages 141-152 Reverse Modelling in R....Pages 153-155 Front Matter....Pages 157-157 Direct Models....Pages 159-166 Reverse Models....Pages 167-168 Forward Modelling in R....Pages 169-174 Reverse Modelling in R....Pages 175-177 Front Matter....Pages 179-180 Choosing an Appropriate Model....Pages 181-189 Front Matter....Pages 179-180 Semi-Quantitative Geochemical Approach....Pages 191-204 Constraining a Model....Pages 205-223 Numerical Tips and Tricks....Pages 225-229 Common Sense in Action....Pages 231-241 Front Matter....Pages 243-243 Differentiation of a Calc-Alkaline Volcanic Series: Example of the Atacazo-Ninahuilca Volcanoes, Ecuador....Pages 245-260 Progressive Melting of a Metasedimentary Sequence: the Saint-Malo Migmatitic Complex, France....Pages 261-275 Back Matter....Pages 277-346 "The aim of this book is to unlock the power of the freeware R language to advanced university students and researchers dealing with whole-rock geochemistry of (meta-) igneous rocks. The first part covers data input/output, calculation of commonly used indexes and plotting in R. The core of the book then focusses on the presentation and practical implementations of modelling techniques used for fingerprinting processes such as partial melting, fractional crystallization, binary mixing or AFC using major-, trace-element and radiogenic isotope data. The reader will be given a firm theoretical basis for forward/reverse modelling, followed by exercises dealing with typical problems likely to be encountered in real life, and their solutions using R. The concluding sections demonstrate, using practical examples, how a researcher can proceed in developing a realistic model simulating natural systems. The appendices outline the fundamentals of the R language and provide a quick introduction to the open-source R-package GCDkit for Interpretation of whole-rock geochemical data from igneous and metamorphic rocks." --Cover