RELATIVE VARIATION DIAGRAMS FOR DESCRIBING PATTERNS OF COMPOSITIONAL VARIABILITY

被引:90
作者
AITCHISON, J
机构
[1] Department of Mathematics, University of Virginia, Charlottesville, 22903, Virginia
来源
MATHEMATICAL GEOLOGY | 1990年 / 22卷 / 04期
关键词
Compositional data analysis; compositional variation array; constant-sum problem; logratio analysis; relative variation diagram; singular value decomposition;
D O I
10.1007/BF00890330
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
In recognizing that a composition, such as a major oxide or sediment composition, provides information only about the relative, not the absolute, magnitudes of its components, this paper exposes the compositional variation array as the simplest and minimum way of summarizing the pattern of variability within a compositional data set. Such summaries are free of the notorious hazards of the constant-sum constraint and when depicted in relative variation diagrams can often provide substantial insights into the nature of the compositional variability. Concepts and practice are illustrated by reference to a number of real data sets. © 1990 International Association for Mathematical Geology.
引用
收藏
页码:487 / 511
页数:25
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