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Year 2019, Volume: 5 Issue: 2, 16 - 25, 15.12.2019

Polina Lemenkova

Abstract

References

  • Brownlee, KA. Statistical theory and methodology in science and engineering. John Wiley & Sons, New York, 2nd edition, 1965.
  • Bulmer, MG. Principles of statistics. Dover Publications, New York, 1979.
  • Chadwick, W.W.Jr., Merle, S.G., Baker, E.T., Walker, S.L., Resing, J.A., Butterfield, D.A., Anderson, M.O., Baumberger, T. and Bobbitt, A. M. ‘A Recent Volcanic Eruption Discovered on the Central Mariana Back-Arc Spreading Center’, Frontiers in Earth Science, 6, 1-16, 2018.
  • Cielen, D., Meysman, A.D.B., Ali, M. Introducing Data Science. Big Data, Machine Learning and More, Using Python Tools. Manning, Shelter Island, U.S., 2012.
  • Contreras-Reyes, E., Carrizo, D. ‘Control of high oceanic features and subduction channel on earthquake ruptures along the Chile-Peru subduction zone’. Physics of the Earth and Planetary Interiors, 186, 49-58. 2011.
  • Cosby, B.J. Hornberger, G.M. Clapp, R.B. Ginn, T.R. “A Statistical Exploration of the Relationships of Soil Moisture Characteristics to the Physical Properties of Soils.” Water Resources Research, 20(6), 682–690, 1984. doi:10.1029/wr020i006p00682
  • Davis, J. Statistics and Data Analysis in Geology. Kansas Geological Survey John Wiley and Sons, 1990.
  • Duşa, A. Venn package 1.7 version, R. https://www.rdocumentation.org/packages/venn/versions/1.7
  • Elkins, L.T. Grove, T.L. “Ternary Feldspar Experiments and Thermodynamic Models.” American Mineralogist, 75(5-6), 544–559, 1990.
  • Fuhrman, M.L. Lindsley, D.H. “Ternary-Feldspar Modeling and Thermometry.” American Mineralogist, 73(3–4), 201–215, 1988.
  • Gu, Z. Package ‘circlize’, Circular Visualization. 2018. url: https://github.com/jokergoo/circlize
  • Guotana, J.M.R. Payot, B.D. Dimalanta, C.B., Ramos, N.T., Faustino-Eslava, D.V., Queano, K.L., Yumul, G.P. ‘Arc and backarc geochemical signatures of the proto-Philippine Sea Plate: Insights from the petrography and geochemistry of the Samar Ophiolite volcanic section’, Journal of Asian Earth Sciences, 142, 77-92, 2017.
  • Hamilton, N. ggtern: An Extension to ggplot2, for the Creation of Ternary Diagrams. R package v. 3.1.0, 2018: https://CRAN.R-project.org/package=ggtern.
  • Hamilton, N.E., Ferry, M. “ggtern: Ternary Diagrams Using ggplot2.” Journal of Statistical Software, Code Snippets, 87 (3), 1-17. URL: https://doi.org/10.18637/jss.v087.c03, 2018. doi: 10.18637/jss.v087.c03
  • Harper, M. python-ternary: Ternary Plots in Python. Zenodo, 2015. doi: 10.5281/zenodo.34938
  • Markert, A. Bohne, K. Facklam, M. Wessolek, G. “Pedotransfer Functions of Soil Thermal Conductivity for the Textural Classes Sand, Silt, and Loam,” Soil Science Society of America Journal, 2017.
  • Marshall, D. “Ternplot: An Excel Spreadsheet for Ternary Diagrams.” Computers & Geosciences, 22(6), 697–699, 1996. doi:10.1016/0098-3004(96)00012-x.
  • Mulcahy, S.R. “Ternary Plots in R.” Website url: http://srmulcahy.github.io/2012/12/04/ternary-plotsr.html
  • Myers, J.L. Well, A.D. Research Design and Statistical Analysis. Ed. 2, Lawrence Erlbaum, U.S., 2003.
  • Nakanishi, M., Hashimoto, J. ‘A precise bathymetric map of the world’s deepest seafloor, Challenger Deep in the Mariana Trench’. Marine Geophysical Researches’, 32(4), 455-463, 2011.
  • Nakazawa, M.R. Documentation for ggradar, fmsb v0.6.3, url: https://www.rdocumentation.org/packages/ggradar/versions/0.1/topics/ggradar
  • Ohara, Y., Fujioka, K., Ishizuka, O., Ishii, T. ‘Peridotites and volcanics from the Yap arc system: implications for tectonics of the southern Philippine Sea Plate’, Chemical Geology, 189, 35-53, 2002.
  • R Development Core Team. R: a language and environment for statistical computing. R Foundation for Statistical Computing URL: http://www.R-project.orgVienna, Austria, 2014.
  • Rossum, G. van. Python Programming Language. 2011, URL https://www.python.org/
  • Roberts, N.M., Tikoff, B., Davis, J.R., Stetson-Lee, T. ‘The utility of statistical analysis in structural geology’. Journal of Structural Geology, doi: 10.1016/j.jsg.2018.05.030, 1-39, 2018.
  • Rossetier, D.G. Tutorial: An example of statistical data analysis using the R environment for statistical computing. 2017.
  • Sandrock, C. “ternplot: Plots Ternary Phase Data on a Ternary Phase Diagram.” MATLAB File Exchange, 1.1, 2016-06-25. url: https://au.mathworks.com/matlabcentral/fileexchange/2299-alchemyst-ternplot
  • Thiem, A. and Duşa, A. Introduction to R, 2013. url: https://link.springer.com/chapter/10.1007%2F978-1-4614-4584-5_2
  • Thiem, A. & Duşa, A. Qualitative comparative analysis with R: a user's guide. Springer, 2013.
  • Wickham, H. ggplot2: Elegant Graphics for Data Analysis. SpringerVerlag, 2009. URL http://ggplot2.org/
  • Wilkinson, L. The Grammar of Graphics. Statistics and Computing, 2nd edition. Springer-Verlag, 2005.
  • Zhi, Y. Guo, T. Shi, J. Zenga, L. Wu, L. ‘Expressing lead isotopic compositions by fractional abundances for environmental source apportionment’, Environmental Pollution, 218, 446-452, 2016.

Plotting Ternary Diagrams by R Library ggtern for Geological Modelling

Year 2019, Volume: 5 Issue: 2, 16 - 25, 15.12.2019

Polina Lemenkova

Abstract







Data
modelling and visualization are interdependent parallel research
methods in Earth sciences critical to the proper understanding of the
geological phenomena: processes, structure and dynamics. Various
approaches of data analysis provided by R programming language
satisfy goal of the geodata processing. Selected way of data
representation and analysis of the factors provided by
ternary diagrams is important way of data visualization and modelling
in applied geology. Visualizing geological variables by ternaries
enables to highlight, which factors are dependent on and affect
others causing variations in the system. Sediment thickness, location
on certain tectonic plates, closeness of the volcanic areas,
steepness and depths are the geologic, tectonic and geomorphic
variables tested using R based modelling in {ggtern} library.
Visualizing attributes as a
three-component interrelation by triangular plots gives an insight to
the geological properties of the system. Traditional techniques for
visualization of pairwise linear correlations between two factors on
the plots fail to recognize triple variations of the factors within
the system. The approach proposed by ternaries identify and handle
data correlations by triple factors. Other graphical models include
circular plot and Euler-Venn diagram showing quantitative and
qualitative geospatial data modelling.

Keywords

ternary diagrams geologic modelling R programming ggtern library data analysis machine learning

References

  • Brownlee, KA. Statistical theory and methodology in science and engineering. John Wiley & Sons, New York, 2nd edition, 1965.
  • Bulmer, MG. Principles of statistics. Dover Publications, New York, 1979.
  • Chadwick, W.W.Jr., Merle, S.G., Baker, E.T., Walker, S.L., Resing, J.A., Butterfield, D.A., Anderson, M.O., Baumberger, T. and Bobbitt, A. M. ‘A Recent Volcanic Eruption Discovered on the Central Mariana Back-Arc Spreading Center’, Frontiers in Earth Science, 6, 1-16, 2018.
  • Cielen, D., Meysman, A.D.B., Ali, M. Introducing Data Science. Big Data, Machine Learning and More, Using Python Tools. Manning, Shelter Island, U.S., 2012.
  • Contreras-Reyes, E., Carrizo, D. ‘Control of high oceanic features and subduction channel on earthquake ruptures along the Chile-Peru subduction zone’. Physics of the Earth and Planetary Interiors, 186, 49-58. 2011.
  • Cosby, B.J. Hornberger, G.M. Clapp, R.B. Ginn, T.R. “A Statistical Exploration of the Relationships of Soil Moisture Characteristics to the Physical Properties of Soils.” Water Resources Research, 20(6), 682–690, 1984. doi:10.1029/wr020i006p00682
  • Davis, J. Statistics and Data Analysis in Geology. Kansas Geological Survey John Wiley and Sons, 1990.
  • Duşa, A. Venn package 1.7 version, R. https://www.rdocumentation.org/packages/venn/versions/1.7
  • Elkins, L.T. Grove, T.L. “Ternary Feldspar Experiments and Thermodynamic Models.” American Mineralogist, 75(5-6), 544–559, 1990.
  • Fuhrman, M.L. Lindsley, D.H. “Ternary-Feldspar Modeling and Thermometry.” American Mineralogist, 73(3–4), 201–215, 1988.
  • Gu, Z. Package ‘circlize’, Circular Visualization. 2018. url: https://github.com/jokergoo/circlize
  • Guotana, J.M.R. Payot, B.D. Dimalanta, C.B., Ramos, N.T., Faustino-Eslava, D.V., Queano, K.L., Yumul, G.P. ‘Arc and backarc geochemical signatures of the proto-Philippine Sea Plate: Insights from the petrography and geochemistry of the Samar Ophiolite volcanic section’, Journal of Asian Earth Sciences, 142, 77-92, 2017.
  • Hamilton, N. ggtern: An Extension to ggplot2, for the Creation of Ternary Diagrams. R package v. 3.1.0, 2018: https://CRAN.R-project.org/package=ggtern.
  • Hamilton, N.E., Ferry, M. “ggtern: Ternary Diagrams Using ggplot2.” Journal of Statistical Software, Code Snippets, 87 (3), 1-17. URL: https://doi.org/10.18637/jss.v087.c03, 2018. doi: 10.18637/jss.v087.c03
  • Harper, M. python-ternary: Ternary Plots in Python. Zenodo, 2015. doi: 10.5281/zenodo.34938
  • Markert, A. Bohne, K. Facklam, M. Wessolek, G. “Pedotransfer Functions of Soil Thermal Conductivity for the Textural Classes Sand, Silt, and Loam,” Soil Science Society of America Journal, 2017.
  • Marshall, D. “Ternplot: An Excel Spreadsheet for Ternary Diagrams.” Computers & Geosciences, 22(6), 697–699, 1996. doi:10.1016/0098-3004(96)00012-x.
  • Mulcahy, S.R. “Ternary Plots in R.” Website url: http://srmulcahy.github.io/2012/12/04/ternary-plotsr.html
  • Myers, J.L. Well, A.D. Research Design and Statistical Analysis. Ed. 2, Lawrence Erlbaum, U.S., 2003.
  • Nakanishi, M., Hashimoto, J. ‘A precise bathymetric map of the world’s deepest seafloor, Challenger Deep in the Mariana Trench’. Marine Geophysical Researches’, 32(4), 455-463, 2011.
  • Nakazawa, M.R. Documentation for ggradar, fmsb v0.6.3, url: https://www.rdocumentation.org/packages/ggradar/versions/0.1/topics/ggradar
  • Ohara, Y., Fujioka, K., Ishizuka, O., Ishii, T. ‘Peridotites and volcanics from the Yap arc system: implications for tectonics of the southern Philippine Sea Plate’, Chemical Geology, 189, 35-53, 2002.
  • R Development Core Team. R: a language and environment for statistical computing. R Foundation for Statistical Computing URL: http://www.R-project.orgVienna, Austria, 2014.
  • Rossum, G. van. Python Programming Language. 2011, URL https://www.python.org/
  • Roberts, N.M., Tikoff, B., Davis, J.R., Stetson-Lee, T. ‘The utility of statistical analysis in structural geology’. Journal of Structural Geology, doi: 10.1016/j.jsg.2018.05.030, 1-39, 2018.
  • Rossetier, D.G. Tutorial: An example of statistical data analysis using the R environment for statistical computing. 2017.
  • Sandrock, C. “ternplot: Plots Ternary Phase Data on a Ternary Phase Diagram.” MATLAB File Exchange, 1.1, 2016-06-25. url: https://au.mathworks.com/matlabcentral/fileexchange/2299-alchemyst-ternplot
  • Thiem, A. and Duşa, A. Introduction to R, 2013. url: https://link.springer.com/chapter/10.1007%2F978-1-4614-4584-5_2
  • Thiem, A. & Duşa, A. Qualitative comparative analysis with R: a user's guide. Springer, 2013.
  • Wickham, H. ggplot2: Elegant Graphics for Data Analysis. SpringerVerlag, 2009. URL http://ggplot2.org/
  • Wilkinson, L. The Grammar of Graphics. Statistics and Computing, 2nd edition. Springer-Verlag, 2005.
  • Zhi, Y. Guo, T. Shi, J. Zenga, L. Wu, L. ‘Expressing lead isotopic compositions by fractional abundances for environmental source apportionment’, Environmental Pollution, 218, 446-452, 2016.
There are 32 citations in total.

Details

Primary Language English
Journal Section makaleler
Authors

Polina Lemenkova 0000-0002-5759-1089

Publication Date December 15, 2019
Published in Issue Year 2019 Volume: 5 Issue: 2

Cite

APA Lemenkova, P. (2019). Plotting Ternary Diagrams by R Library ggtern for Geological Modelling. Eastern Anatolian Journal of Science, 5(2), 16-25.
AMA Lemenkova P. Plotting Ternary Diagrams by R Library ggtern for Geological Modelling. Eastern Anatolian Journal of Science. December 2019;5(2):16-25.
Chicago Lemenkova, Polina. “Plotting Ternary Diagrams by R Library Ggtern for Geological Modelling”. Eastern Anatolian Journal of Science 5, no. 2 (December 2019): 16-25.
EndNote Lemenkova P (December 1, 2019) Plotting Ternary Diagrams by R Library ggtern for Geological Modelling. Eastern Anatolian Journal of Science 5 2 16–25.
IEEE P. Lemenkova, “Plotting Ternary Diagrams by R Library ggtern for Geological Modelling”, Eastern Anatolian Journal of Science, vol. 5, no. 2, pp. 16–25, 2019.
ISNAD Lemenkova, Polina. “Plotting Ternary Diagrams by R Library Ggtern for Geological Modelling”. Eastern Anatolian Journal of Science 5/2 (December 2019), 16-25.
JAMA Lemenkova P. Plotting Ternary Diagrams by R Library ggtern for Geological Modelling. Eastern Anatolian Journal of Science. 2019;5:16–25.
MLA Lemenkova, Polina. “Plotting Ternary Diagrams by R Library Ggtern for Geological Modelling”. Eastern Anatolian Journal of Science, vol. 5, no. 2, 2019, pp. 16-25.
Vancouver Lemenkova P. Plotting Ternary Diagrams by R Library ggtern for Geological Modelling. Eastern Anatolian Journal of Science. 2019;5(2):16-25.