# Geochemical Modelling of Igneous Processes – Principles And Recipes in R Language

- Length: 346 pages
- Edition: 1st ed. 2015
- Language: English
- Publisher: Springer
- Publication Date: 2015-09-13
- ISBN-10: 3662467917
- ISBN-13: 9783662467916
- Sales Rank: #3903364 (See Top 100 Books)

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.

### Table of Contents

Chapter 1 Introduction

Part I R/GCDkit at Work

Chapter 2 Data Manipulation and Simple Calculations

Chapter 3 Classical Plots

Chapter 4 Specialized Plots

Chapter 5 Radiogenic Isotopes

Part II Modelling Major Elements

Chapter 6 Direct Models

Chapter 7 Reverse Models

Chapter 8 Forward Modelling in R

Chapter 9 Reverse Modelling in R

Part III Modelling Trace Elements

Chapter 10 Dilute Trace Elements: Partition Coefficients

Chapter 11 Direct (Dilute) Trace-Element Models

Chapter 12 Reverse (Dilute) Trace-Element Models

Chapter 13 Trace Elements as Essential Structural Constituents of Accessory Minerals: the Solubility Concept

Chapter 14 Forward Modelling in R

Chapter 15 Reverse Modelling in R

Part IV Radiogenic Isotopes

Chapter 16 Direct Models

Chapter 17 Reverse Models

Chapter 18 Forward Modelling in R

Chapter 19 Reverse Modelling in R

Part V Practical Modelling

Chapter 20 Choosing an Appropriate Model

Chapter 21 Semi-Quantitative Geochemical Approach

Chapter 22 Constraining a Model

Chapter 23 Numerical Tips and Tricks

Chapter 24 Common Sense in Action

Part VI Worked Examples

Chapter 25 Differentiation of a Calc-Alkaline Series: Example of the Atacazo-Ninahuilca volcanoes, Ecuador1

Chapter 26 Progressive Melting of a Metasedimentary Sequence: the Saint-Malo Migmatitic Complex, France1

Appendix A R Syntax in a Nutshell

Appendix B Introduction to GCDkit

Appendix C Solving Systems of Linear Algebraic Equations in R