Abstract
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.
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References
Batchelor RA, Bowden P (1985) Petrogenetic interpretation of granitoid rock series using multicationic parameters. Chem Geol 48:43–55
Chambers JM, Hastie TJ (1992) Statistical models in S. Chapman & Hall, London
Clarke DB (1981) The mineralogy of peraluminous granites; a review. Canad Mineral 19:3–17
Cross W, Iddings JP, Pirsson LV, Washington HS (1902) A quantitative chemico-mineralogical classification and nomenclature of igneous rocks. J Geol 10:555–690
De La Roche H, Leterrier J, Grandclaude P, Marchal M (1980) A classification of volcanic and plutonic rocks using R1R2–diagram and major element analyses—its relationships with current nomenclature. Chem Geol 29:183–210
Debon F, Le Fort P (1983) A chemical-mineralogical classification of common plutonic rocks and associations. Trans Roy Soc Edinb, Earth Sci 73:135–149
Debon F, Le Fort P (1988) A cationic classification of common plutonic rocks and their magmatic associations: principles, method, applications. Bull Minéral 111:493–510
Frost BR, Frost CD (2008) A geochemical classification for feldspathic igneous rocks. J Petrol 49:1955–1969
Frost BR, Barnes CG, Collins WJ, Arculus RJ, Ellis DJ, Frost CD (2001) A geochemical classification for granitic rocks. J Petrol 42:2033–2048
Hutchison CS (1974) Laboratory handbook of petrographic techniques. John Wiley & Sons, New York
Hutchison CS (1975) The norm, its variations, their calculation and relationships. Schweiz mineral petrogr Mitt 55:243–256
Janoušek V (2001) Norman, a QuickBasic programme for petrochemical re-calculation of whole-rock major-element analyses on IBM PC. J Czech Geol Soc 46:9–13
Janoušek V, Bowes DR, Rogers G, Farrow CM, Jelínek E (2000) Modelling diverse processes in the petrogenesis of a composite batholith: the Central Bohemian Pluton, Central European Hercynides. J Petrol 41:511–543
Janoušek V, Braithwaite CJR, Bowes DR, Gerdes A (2004) 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. Lithos 78:67–99
Le Bas MJ, Le Maitre RW, Streckeisen A, Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram. J Petrol 27:745–750
Le Maitre RW (2002) Igneous rocks: a classification and glossary of terms: recommendations of the International Union of Geological Sciences, Subcommission on the Systematics of Igneous Rocks. Cambridge University Press, Cambridge
Maindonald J, Braun J (2003) Data analysis and graphics using R. Cambridge University Press, Cambridge
Mielke P, Winkler HGF (1979) Eine bessere Berechnung der Mesonorm für granitische Gesteine. Neu Jb Mineral, Mh 471–480
Miller CF (1985) Are strongly peraluminous magmas derived from pelitic sources? J Geol 93:673–689
Niggli P (1948) Gesteine und Minerallagerstätten. Birkhäuser, Basel
Reimann C, Filzmoser P, Garrett R, Dutter R (2008) Statistical data analysis explained: applied environmental statistics with R. John Wiley & Sons, Chichester
Rock NMS (1988) Numerical geology. A source guide, glossary and selective bibliography to geological uses of computers and statistics. Lecture Notes in Earth Sciences, vol 18. Springer, Berlin
Shand SJ (1943) Eruptive rocks. Their genesis, composition, classification, and their relation to ore-deposits with a chapter on meteorite. John Wiley & Sons, New York
van den Bogaard P, Tolosana-Delgado R (2013) Analyzing compositional data with R. Springer, Berlin
Venables WN, Ripley BD (1999) Modern applied statistics with S-Plus. Springer, Berlin
Verma SP, Torres-Alvarado IS, Sotelo-Rodriguez ZT (2002) SINCLAS: standard igneous norm and volcanic rock classification system. Comput and Geosci 28:711–715
Verma SP, Torres-Alvarado IS, Velasco-Tapia F (2003) A revised CIPW norm. Schweiz mineral petrogr Mitt 83:197–216
Villaseca C, Barbero L, Herreros V (1998) A re-examination of the typology of peraluminous granite types in intracontinental orogenic belts. Trans Roy Soc Edinb, Earth Sci 89:113–119
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Janoušek, V., Moyen, JF., Martin, H., Erban, V., Farrow, C. (2016). Data Manipulation and Simple Calculations. In: Geochemical Modelling of Igneous Processes – Principles And Recipes in R Language. Springer Geochemistry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46792-3_2
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