Implementation of compositional data analysis into geology
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Gospodarka Surowcami Mineralnymi – Mineral Resources Management 2006;22(2):39-52
 
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ABSTRACT
The paper presents the principles of Compositional Data Analysis. This statistical method enables interpreting the data, being proportions of some whole. The two examples of implementation of this method were presented, with use of hydrogeological and petrographical data. The visaulisation by means of ternary diagrams is helpful for interpreting the results. The method is particularly featured by the possibility of appllication of a range of helpful manipulations, such as: amalgamation, perturbation, unconstraining and centering of data.
METADATA IN OTHER LANGUAGES:
Polish
Zastosowanie analizy danych złożonych (CDA) w geologii
analiza danych złożonych, chemizm wód podziemnych, porowatość skał
W artykule przedstawiono podstawowe założenia metody danych złożonych - Compositional Data Analysis. Metoda ta pozwala na statystyczną interpretację danych, w których wartości zmiennych sumują się do pewnej całości. Pokazano przykłady zastosowania metody CDA dla danych hydrogeologicznych oraz petrologicznych - w tym interpretację tych danych i ich wizualizację za pomocą diagramów trójkątnych. Specyfiką metody jest możliwość stosowania szeregu procedur przekształceń, np. amalgamacji danych, perturbacji, uwalniania i centrowania.
REFERENCES (22)
1.
Aitchison J., 1986 - The Statistical Analysis of Compositional Data, Monographs on Statistics and Applied Probability, Chapman and Hall, London.
 
2.
Aitchison J., 2003a - A Concise Guide to Compositional Data Analysis. CDA Workshop, Girona.
 
3.
Aitchison J., 2003b - The Statistical Analysis of Compositional Data, The Blackburn Press, New Jersey.
 
4.
Aitchison J., Barcelo-Vidal C., 2002 - Comositional Processes: A statistical search for Understanding. Terra Nostra, Schriften der Alfred-Wegener-Stiftung 04/2002, 8th Annual Conference of IAMG, pp. 381-386.
 
5.
Aitchison J., Greenacre M., 2002 - Biplots of Compositional Data. Appl. Statist., 51, pp. 375-382.
 
6.
Aitchison J., Kay J.W., 2003 - Possible Solutions of some essential Zero Problems in Compositional data Analysis. Proceedings of CODAWORK'03, The First Compositional data Analysis Workshop, Girona, Spain.
 
7.
Baxter M. J., Beardah C. C., Cool H. E. M., Jackson C. M., 2003 - Compositioanl data Analysis in Archaeometry. Proceedings of CODAWORK'03, The First Compositional data Analysis Workshop, Girona, Spain.
 
8.
Buccianti A., MonechiS., 2002 - Bi-plot analysis to discover relationships among species in micropaleontological quantitative data. Terra Nostra, Schriften der Alfred-Wegener-Stiftung 04/2002, 8th Annual Conference of IAMG, pp. 399-404.
 
9.
Buccianti A., Pawlowsky-Glahn V., Barcelo-Vidal C., Jarauta-Bragulat E., 1999 - Visualization and modelling of natural trends in ternery diagrams: A geochemical case study. Proseedings of IAMG'99, Trondheim, Norway.
 
10.
Buccianti A., Vaselli O., NisiB., Minissale A., Tassi F., 2003 - Monitoring Procedures in Environmental Geochemistry and Compositional Data Analysis Theory. Proceedings of CODAWORK'03, The First Compositional data Analysis Workshop, Girona, Spain.
 
11.
Eynatten H., Barceló-Viadal C., Pawlowsky-Glahn V., 2003 - Modelling Compositional Change: The Example of Chemical Weathering of Granitoid Rocks. Mathematical Geology, 35 (3), pp. 231-251.
 
12.
Fontes J. C. and Matray J. M., 1993 - Geochemistry and origin of formation brines from the Paris Basin, France. 1. Brines associated with Triassic salts. Chemical Geology, 109: 149-175.
 
13.
Gasparini M., Di Gaetano C., 2003 - On the Use of Principal Components in Contemporary Population Genetics: A case study. Proceedings of CODAWORK'03, The First Compositional data Analysis Workshop, Girona, Spain.
 
14.
Labus M., 2005 - Compositional Data Analysis as a tool for interpretation of rock porosity parameters. Geol.Quart., 49(3): 347-354.
 
15.
Labus K., 2005-Possibilities of Compositional Data Analysis application in hydrogeology. Proc. XII Narodni Hydrogeologicky Kongres. Česke Budejovice 19-22 IX 2005.
 
16.
Martín-Fernández J. A., Palowsky-Glahn V., Barceló-Vidal C., Kovács L. O., Kovács G. P., 2003 - Proceedings of CODAWORK'03, The First Compositional data Analysis Workshop, Girona, Spain.
 
17.
Nordstrom D. K., Plummer L.N.,Wigley T.M.L., Wolery T. J., Ball J. W., Jenne E. A., Bassett R. L., Crerar D.A., Florence T.M., Fritz B., Hoffman M., Holdren G.R., Jr., Lafon G.M., Matigod- S.V., McDuff R.E., Morel F., Reddy M.M., Sposito G., and Thrailkill J., 1979 - A comparison of computerized chemical models for equilibrium calculations in aqueous systems: in Chemical Modeling in aqueous systems, speciation, sorption, solubility, and kinetics. Jenne, E.A., ed., Series 93, American Chemical Society, p. 857-892.
 
18.
Otero N., Tolosana-Delgado R., Soler A., 2003 - Proceedings of CODAWORK'03. The First Compositional data Analysis Workshop, Girona, Spain.
 
19.
Pawlowsky-Glahn V., Olea R. A., 2004 - Geostatistical Analysis of Compositional Data. Univ. Press, Oxford.
 
20.
Parkhurst D. L. and Appelo C.A.J., 1999 - User's guide to PHREEQC (Version 2)-A computer program for speciation, batch-reaction, one-dimensional transport, and inverse geochemical calculations: U.S. Geological Survey Water-Resources Investigations Report 99-4259, 310 p.
 
21.
Reyment R. A., Savazzi E., 1999-Aspects of Multivariate Statistical Analysis in Geology. Elsevier.
 
22.
Tolosana-Delgado R., Palomera-Roman R., Gimeno-Torrente D., Pawlowsky-Glahn V., Thió-HenestrosaS., 2002 - A First Approach to Classification of Basalts Using Trace Elements, Terra Nostra, Schriften der Alfred-Wegener-Stiftung 04/2002, 8th Annual Conference of IAMG, pp. 435-440.
 
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