Testing the species traits-environment relationships: the fourth-corner problem revisited.

By Stéphane Dray, Pierre Legendre. Ecology, 2008

658 citations recorded by the source corpus.

Subfields: Anesthesiology and Pain Medicine, Biomedical Engineering, Surgery

View Paper: https://www.semanticscholar.org/paper/f9f5c5331ae65ed4bbef280db5107ddfaabaffcf

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Citations in the corpus

Assessing species and community functional responses to environmental gradients: which multivariate methods? (2012, methodology): “…results in situations where chance effects and random fluctuations are likely, such as in early successional or climax stages, and use the fourth-corner testing procedure (Legendre et al. 1997; Dray & Legendre 2008) to evaluate the statistical significance of the trait– environment relationships.”
CSR analysis of plant functional types in highly diverse tropical grasslands of harsh environments (2014, background): “Implicit in the analyses developed to demonstrate environmental filters in ecological communities is the attribution of relative weights to species according to their abundance (Dolédec et al. 1996; Dray and Legendre 2008).”
Landscape heterogeneity as an ecological filter of species traits (2014, positive): “Furthermore, because two permutation models were used, we used the square root 225 of this corrected alpha level (Dray and Legendre, 2008; Dziock et al., 2011).”
The fourth‐corner solution – using predictive models to understand how species traits interact with the environment (2014, methodology): “…about the environment–trait association, although it remains unclear precisely how to undertake permutation testing in a valid way – current proposals (Dray & Legendre 2008; ter Braak, Cormont & Dray 2012) break the connection between species and traits and/or sites and environmental variables as…”
Traits explain community disassembly and trophic contraction following experimental environmental change (2012, methodology): “We use two methods to link the traits of the bryofaunal species to our environmental treatment variables: RLQ analysis (Dolédec et al., 1996) and fourth-corner analysis (Legendre et al., 1997; Dray & Legendre, 2008).”
Frequent bird movements across a highly fragmented landscape: the role of species traits and forest matrix (2013, methodology): “In a second step, we used a novel version of the fourthcorner analysis to directly measure the link between species traits and environmental data (Dray & Legendre, 2008).”
Selecting traits that explain species–environment relationships: a generalized linear mixed model approach (2013, positive): “This approach naturally combines the community and species level approaches (Dray & Legendre 2008).”
Functional traits and community composition: A comparison among community‐weighted means, weighted correlations, and multilevel models (2018, background): “Peres- Neto et al. (2017) show the mathematical relationships among three different weighted correlation metrics: CWMc, species niche centroids (SNCc; Cavender- Bares, Kitajima, & Bazzaz, 2004), and fourth- corner correlations (FCCc; Dray & Legendre, 2008).”
Morphological trait matching shapes plant–frugivore networks across the Andes (2018, methodology): “This approach has been implemented as permutation model type 6 (fourthcorner in ‘ade4’ package in R, Dray and Legendre 2008), which combines the output of model type 2 (plant species of the interaction matrix are permuted) and model type 4 (bird species of the interaction matrix are permuted) and…”
Assembly rules of ectoparasite communities across scales: combining patterns of abiotic factors, host composition, geographic space, phylogeny and traits (2015, methodology): “…between the matrices E and T, S and T, E and P, and S and P was tested with the multivariate version of the fourth-corner approach using null model 4 of Dray and Legendre (2008) (fi xed environmental and/or spatial variables and randomly distributed species) (see Pavoine et al. 2011 for details).”
Trait-Based Approaches in the Analysis of Stream Fish Communities (2010, methodology): “Trait-based modeling and applications continue to grow concomitantly with the development of more sophisticated multivariate analysis techniques (Diniz-Filho et al. 1998; Dray et al. 2003; Dray and Legendre 2008; Jackson et al. 2010, this volume).”
Adapting to climate change: a perspective from evolutionary physiology (2010, methodology): “Formal mathematical approaches for investigating the relationships among matrices and for identifying signifi- cant variation in parameters are available (see Dray & Legendre 2008).”
Functional classifications and their application in phytoplankton ecology (2015, methodology): “Quantification of the links between species traits and environment should make use of robust statistical analyses, including methods specifically devised to test the species traits–environment relationships (e.g. the ‘fourth-corner’ method; Dray & Dufour, 2007; Dray & Legendre, 2008).”
Pollination services are mediated by bee functional diversity and landscape context (2015, methodology): “We used a fourth corner analysis (‘ade4’ package; Legendre, Galzin, Harmelin-Vivien 1997; Dray, Dufour & Chessel 2007; Dray and Legendre 2008; Ter Braak, Cormont and Dray 2012) to screen functional traits and identify those most correlated with fruit set and seed set.”