Statistical Interpretation of Species Composition

By Dean Billheimer, Peter Guttorp, William F. Fagan. 2001

316 citations recorded by the source corpus.

Subfields: Ecology, Evolution, Behavior and Systematics, Nature and Landscape Conservation, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/b84838c2e6f481d0aab46e41fc92cda02d442899

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In Ecology, Evolution, Behavior and Systematics

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Citations in the corpus

Bayes linear spaces (2010, methodology): “group operation, and its Euclidean structure has been completed (Billheimer et al., 2001; Pawlowsky-Glahn and Egozcue, 2001, 2002; Egozcue et al., 2003) The extension of the underlying ideas to compositions of infinitely many parts is due to Egozcue et al.”
Phylogenetic and functional characteristics of household yard floras and their changes along an urbanization gradient (2012, methodology): “For categorical and binary traits, we followed a similar approach to Norden et al. (2012) with Webb’s (2000) nearest taxon index (NTI) and net relatedness index (NRI) to test whether the relatedness of species within each trait category was greater than expected at random, using the mean…”
Linear regression with compositional explanatory variables (2012, methodology): “Compositional data do not follow the usual Euclidean geometry, but they are described by the so-called Aitchison geometry on the simplex [4,18].”
Bayes Hilbert Spaces (2014, background): “In this case B2(P) is a two-dimensional Euclidean space (Billheimer et al. 2001; Pawlowsky-Glahn & Egozcue 2001).”
Compositional Data Analysis: Where Are We and Where Should We Be Heading? (2005, methodology): “We refer to this as the finite dimensional Hilbert space structure of the simplex, in order to distinguish it from the ordinary Euclidean structure of real spaces ( Billheimer, Guttorp, and Fagan, 1997, 2001; Egozcue and others, 2003; Pawlowsky-Glahn and Egozcue, 2001, 2002).”
Ipsative measurement and the analysis of organizational values: an alternative approach for data analysis (2014, methodology): “…1999, 2006, 2011); and (3) To provide and illustrate an alternative method to analyze and test the results of ipsative measures, that is inspired by compositional data analysis methods that are widely used in geology (Aitchison 1982, 1986, 2003; Billheimer et al. 2001; Pawlowsky-Glahn et al. 2007).”
A structured and dynamic framework to advance traits-based theory and prediction in ecology. (2010, background): “…to estimate extinction risk based on traits, but without an environmental component (Williams et al. 2005); to estimate the performance filter (Billheimer et al. 1997, 2001; Johnson et al. 2006; Kühn et al. 2006); and to investigate the impact of environmental factors on abundance (Ver Hoef…”
Changes in the Functional Composition of a Central European Urban Flora over Three Centuries (2010, methodology): “To break this unit sum constraint, we calculated log-ratios of proportions (Aitchison, 1982; Elston et al., 1996; Billheimer et al., 2001; Kühn et al., 2006), i.”
"compositions": A unified R package to analyze compositional data (2008, background): “Afterwards, the Simplex (equipped with these operations) was identified as an Euclidean space on itself (Billheimer et al., 2001; Pawlowsky-Glahn and Egozcue, 2001).”
Exploring Compositional Data with the CoDa-Dendrogram (2011, background): “Keywords: Aitchison Geometry, Euclidean Vector Space, Orthonormal Coordinates.”