Compositional Data Analysis 2011
DOI: 10.1002/9781119976462.ch16
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Compositional Analysis in Behavioural and Evolutionary Ecology

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Cited by 6 publications
(5 citation statements)
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“…Except for somatic indices, all other data were expressed as percentages or proportions. Compositional data are very common across ecology, behaviour and evolution ( Pierotti and Martín-Fernaández, 2011 ; Greenacre, 2021 ), but poses a challenge to common statistical methods. In this case, we used a PCA for compositional data ( Aitchison, 1983 ) in the R package compositions ( van den Boogaart and Tolosana-Delgado, 2008 ).…”
Section: Methodsmentioning
confidence: 99%
“…Except for somatic indices, all other data were expressed as percentages or proportions. Compositional data are very common across ecology, behaviour and evolution ( Pierotti and Martín-Fernaández, 2011 ; Greenacre, 2021 ), but poses a challenge to common statistical methods. In this case, we used a PCA for compositional data ( Aitchison, 1983 ) in the R package compositions ( van den Boogaart and Tolosana-Delgado, 2008 ).…”
Section: Methodsmentioning
confidence: 99%
“…Notably, CoDA methods overcome constant sum constraints that are characteristic of many analyses ( i.e., the assumption that all samples sum to a constant, such as 1 or 100%), enabling us to analyze DEMs of different total areas, in which compositional components could vary independently from one another ( Aitchison, 2003a ). Whereas the use of traditional statistical techniques on compositional data yields multicollinearity and unreliable estimates ( Kucera & Malmgren, 1998 ; Aitchison, 2003b ; Graham, 2003 ; Dormann et al, 2013 ; Douma & Weedon, 2019 ), advancements in CoDA methods provide valuable and broadly applicable techniques to assess compositional data, which continue to gain recognition across disciplines ( Reyment, 1989 ; Baker, 2008 ; Campbell et al, 2009 ; Pierotti & Martín-Ferńandez, 2011 ; del Pozo Cruz et al, 2020 ). We performed all CoDA analyses in R, version 3.6.1 ( R Core Team, 2013 ), using the compositions , robCompositions , and zCompositions packages ( Palarea-Albaladejo & Martín-Fernández, 2020 ; Templ et al, 2020 ; van den Boogaart, Tolosana-delgado & Bren, 2020 ).…”
Section: Methodsmentioning
confidence: 99%
“…Ever since John Aitchison provided solutions to spurious statistics using compositional data [46], the transformation from proportions to log-ratios has been widely adopted in soil [38,47,48] and life science studies [49,50]. The simplex constituted with proportions of carbon and nitrogen; as well as the non-overlapping mineral composition of sand, silt, and clay; was transformed into isometric log-ratios ( ilr ) [51] to generate balances of components.…”
Section: Methodsmentioning
confidence: 99%