Volume 44 - Article 19 | Pages 443–458
The centered ternary balance scheme: A technique to visualize surfaces of unbalanced three-part compositions
References
Aitchison, J. (1982). The statistical analysis of compositional data. Journal of the Royal Statistical Society. Series B 44(2): 139–177.
Aitchison, J. (1986). The statistical analysis of compositional data. Monographs on statistics and applied probability. New York: Chapman and Hall.
Aitchison, J. and Ng, K.W. (2005). The role of perturbation in compositional data analysis. Statistical Modelling 5(2): 173–185.
Bancroft, W.D. (1897). A triangular diagram. Journal of Physical Chemistry 1(7): 403–410.
Birch, J. (2012). Worldwide prevalence of red-green color deficiency. Journal of the Optical Society of America A 29(3): 313–320.
Brewer, C.A. (1994). Color use guidelines for mapping and visualization. In: MacEachren, A.M. and Taylor, D.R.F. (eds.). Visualization in Modern Cartography. Oxford: Pergamon: 123–147.
Davis, R.O.E. and Hammond, B.H. (1927). Grouping of soils on the basis of mechanical analysis. Washington D, Department Circular 419.
De Finetti, B. (1926). Considerazioni matematiche sull’ereditarietà mendeliana. METRON VI(1): 3–411.
Denil, M. (2015). Trivariate sea ice presence map. Paper presented at the 6th Symposium on the Impacts of an Ice-Diminishing Arctic on Naval and Maritime Operations, National Ice Center, 2015.
Dorling, D. (2012). The visualization of spatial social structure. Chichester: Wiley (Wiley Series in Computational and Quantitative Social Science).
Graetz, N., Woyczynski, L., Wilson, K.F., Hall, J.B., Abate, K.H., Abd-Allah, F., Adebayo, O.M., Adekanmbi, V., Afshari, M., and Ajumobi, O. (2019). Mapping disparities in education across low-and middle-income countries. Nature 577: 235–238.
Hamilton, N.E. and Ferry, M. (2018). ggtern: Ternary diagrams using ggplot2. Journal of Statistical Software 87(1): 1–17.
Howarth, R.J. (1996). Sources for a history of the ternary diagram. The British Journal for the History of Science 29(3): 337–356.
Kashnitsky, I. and Aburto, J.M. (2019). Geofaceting: Aligning small-multiples for regions in a spatially meaningful way. Demographic Research 41(17): 477–490.
Kashnitsky, I. and Schöley, J. (2018). Regional population structures at a glance. The Lancet 392(10143): 209–210.
Kvitkin, O.A. (1932). On types of urban settlements [o tipakh gorodskikh poseleniy]. USSR census.
Metternicht, G. and J., S. (eds.) (2003). Trivariate spectral encoding: A prototype system for automated selection of colours for soil maps based on soil textural composition. (Proceedings of the 21st International Cartographic Conference (ICC) ‘Cartographic Renaissance’).
Pawlowsky-Glahn, V. and Buccianti, A. (2002). Visualization and modeling of subpopulations of compositional data: statistical methods illustrated by means of geochemical data from fumarolic fluids. International Journal of Earth Sciences 91(2): 357–368.
Pawlowsky-Glahn, V., Egozcue, J.J., and Tolosana-Delgado, R. (2015). Modeling and analysis of compositional data. Statistics in practice. United Kingdom: John Wiley & Sons.
Pirzamanbein, B., Poska, A., and Lindström, J. (2020). Bayesian reconstruction of past land cover from pollen data: Model robustness and sensitivity to auxiliary variables. Earth and Space Science 7: 1–13.
Schöley, J. (2019). Choropleth maps with tricolore [electronic resource].
Schöley, J. and Kashnitsky, I. (2019). But Why? Design choices made while creating "Regional population structures at a glance". In: New Generations in Demography. Oeconomica Publishing House.
Schöley, J. and Kashnitsky, I. (2019). tricolore: A flexible color scale for ternary compositions [electronic resource].
Schöley, J. and Willekens, F. (2017). Visualizing compositional data on the Lexis surface. Demographic Research 36(21): 627–658.
Stadt Wien (2019). Wien in Zahlen 1919–1934.
Steidinger, B.S., Crowther, T.W., Liang, J., Van Nuland, M.E., Werner, G.D.A., Reich, P.B., Nabuurs, G.J., Miguel, S., Zhou, M., and Picard, N. (2019). Climatic controls of decomposition drive the global biogeography of forest-tree symbioses. Nature 569(7756): 404–408.
Von Eynatten, H., Pawlowsky-Glahn, V., and Egozcue, J.J. (2002). Understanding perturbation on the simplex: A simple method to better visualize and interpret compositional data in ternary diagrams. Mathematical Geology 34(3): 249–257.
Wang, Q.J., Robertson, D.E., and Haines, C.L. (2009). A bayesian network approach to knowledge integration and representation of farm irrigation. Water Resources Research 45(2).
Ware, C. (2013). Information visualization. Perception for design. Waltham: Elsevier.
Zabetakis, M.G. (1965). Flammability characteristics of combustible gases and vapors. Washington D.C.
Zeileis, A., Hornik, K., and Murrell, P. (2009). Escaping RGBland: Selecting colors for statistical graphics. Computational Statistics & Data Analysis 53(9): 3259–3270.