Volume 44 - Article 19 | Pages 443–458
The centered ternary balance scheme: A technique to visualize surfaces of unbalanced three-part compositions
|Date received:||15 Mar 2019|
|Date published:||09 Mar 2021|
|Keywords:||compositional data, data visualization, multidimensional color scales|
|Additional files:||readme.44-19 (text file, 23 kB)|
|demographic-research.44-19 (zip file, 4 MB)|
Background: The ternary balance scheme is a visualization technique that encodes three-part compositions as a mixture of three primary colors. The technique works best if the compositional data are well spread out across the domain but fails to show structure in very unbalanced data.
Objective: I extend the ternary balance scheme such that it can be utilized to show variation in unbalanced compositional surfaces.
Methods: By reprojecting an unbalanced compositional data set around its center of location and visualizing the transformed data with a standard ternary balance scheme, the internal variation of the data becomes visible. An appropriate centering operation has been deﬁned within the ﬁeld of compositional data analysis.
Results: Using Europe’s regional workforce structure by economic sector as an example, I have demonstrated the utility of the centered ternary balance scheme in visualizing variation across unbalanced compositional surfaces.
Contribution: I have proposed a technique to visualize the internal variation in surfaces of highly unbalanced compositional data and implemented it in the tricolore R package.
Jonas Schöley - Syddansk Universitet, Denmark
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