Data Manipulation and Simple Calculations

This chapter will demonstrate the practical use of the R language (for overview of its syntax, see Appendix A) and GCDkit (Appendix B) to solve common problems in igneous geochemistry. We shall follow the basic procedure from loading the data into the system, through their subsetting, calculation of basic indexes (such as mg# or A/CNK values) or cationic parameters (after Niggli, Debon & Le Fort and De la Roche), to normative recalculations (e.g., CIPW norm). Briefly mentioned are also statistical applications of the R language, such as obtaining simple descriptive statistics and use of factors-based grouping to deal with complex geochemical data sets.

[1]  P. Fort,et al.  A cationic classification of common plutonic rocks and their magmatic associations: principles, method, applications , 1988 .

[2]  Clemens Reimann,et al.  Statistical data analysis explained : applied environmental statics with R , 2008 .

[3]  S. Verma,et al.  SINCLAS: standard igneous norm and volcanic rock classification system , 2002 .

[4]  P. Filzmoser,et al.  Statistical Data Analysis Explained , 2008 .

[5]  R. W. Le Maitre,et al.  A Chemical Classification of Volcanic Rocks Based on the Total Alkali-Silica Diagram , 1986 .

[6]  C. Miller Are Strongly Peraluminous Magmas Derived from Pelitic Sedimentary Sources? , 1985, The Journal of Geology.

[7]  Nicholas M.S. Rock Numerical Geology: A Source Guide, Glossary and Selective Bibliography to Geological Uses of Computers and Statistics , 1988 .

[8]  C. S. Hutchison,et al.  Laboratory handbook of petrographic techniques , 1974 .

[9]  C. Villaseca,et al.  A re-examination of the typology of peraluminous granite types in intracontinental orogenic belts , 1998, Transactions of the Royal Society of Edinburgh: Earth Sciences.

[10]  J. Leterrier,et al.  A classification of volcanic and plutonic rocks using R1R2-diagram and major-element analyses — Its relationships with current nomenclature , 1980 .

[11]  E. Jelínek,et al.  Modelling Diverse Processes in the Petrogenesis of a Composite Batholith: the Central Bohemian Pluton, Central European Hercynides , 2000 .

[12]  D. B. Clarke The mineralogy of peraluminous granites; a review , 1981 .

[13]  C. Braithwaite,et al.  Magma-mixing in the genesis of Hercynian calc-alkaline granitoids: an integrated petrographic and geochemical study of the Sázava intrusion, Central Bohemian Pluton, Czech Republic , 2004 .

[14]  R. Batchelor,et al.  Petrogenetic interpretation of granitoid rock series using multicationic parameters , 1985 .

[15]  V. Janoušek NORMAN, a QuickBasic programme for petrochemical re-calculation of whole-rock major-element analyses on IBM PC , 2001 .

[16]  S. J. Shand Eruptive Rocks: Their Genesis, Composition, Classification, and Their Relation to Ore-Deposits, with a Chapter on Meteorites , 1927 .

[17]  William N. Venables,et al.  Modern Applied Statistics with S-Plus. , 1996 .

[18]  P. Fort,et al.  A chemical–mineralogical classification of common plutonic rocks and associations , 1983, Transactions of the Royal Society of Edinburgh: Earth Sciences.

[19]  R. W. Le Maitre,et al.  A Classification of igneous rocks and glossary of terms : recommendations of the International Union of Geological Sciences Subcommission on the Systematics of Igneous Rocks , 1989 .

[20]  B. Frost,et al.  A Geochemical Classification for Feldspathic Igneous Rocks , 2008 .

[21]  Calvin G. Barnes,et al.  A Geochemical Classification for Granitic Rocks , 2001 .

[22]  K. Gerald van den Boogaart,et al.  Analyzing Compositional Data with R , 2013 .

[23]  Trevor Hastie,et al.  Statistical Models in S , 1991 .

[24]  J. P. Iddings,et al.  A Quantitative Chemico-Mineralogical Classification and Nomenclature of Igneous Rocks , 1902, The Journal of Geology.

[25]  J H Maindonald,et al.  Draft of Changes and Additions in a Projected 3rd Edition of Data Analysis and Graphics Using R , 2009 .