Comparison of the Mantel test and alternative approaches for detecting complex multivariate relationships in the spatial analysis of genetic data

By Pierre Legendre, Marie-Josée Fortin. Molecular Ecology Resources, 2010

706 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/7cb79ec11e65cc6c6a0e5578e2e67c0011c2505b

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Citations in the corpus

Testing the Mantel statistic with a spatially‐constrained permutation procedure (2019, background): “When distance matrices are computed on samples located in space, a major problem lies in the possible presence of spatial autocorrelation (Legendre & Fortin, 2010; Meirmans, 2012).”
Community ecology in the age of multivariate multiscale spatial analysis (2012, background): “Key words: ecological community; multivariate spatial data; ordination; spatial autocorrelation; spatial connectivity; spatial eigenfunction; spatial structure; spatial weight.”
A conceptual framework for the spatial analysis of landscape genetic data (2013, methodology): “Wagner and Fortin: Spatial analysis of genetic data 13 as each vector has length n(n – 1)/2 (Legendre and Fortin 2010).”
Landscape Genomics: Understanding Relationships Between Environmental Heterogeneity and Genomic Characteristics of Populations (2017, methodology): “Mantel tests have been severely criticized for various reasons, and alternative approaches should be used whenever possible (Balkenhol et al. 2009; Legendre and Fortin 2010; Guillot and Rousset 2013; Legendre et al. 2015).”
A practical guide to environmental association analysis in landscape genomics (2015, methodology): “However, Mantel tests have been criticized (e.g. Oden & Sokal 1992; Guillot & Rousset 2013; but see Legendre & Fortin 2010).”
Circuit‐theory applications to connectivity science and conservation (2018, background): “…with Mantel tests) often led to faulty inferences by incorrectly assuming linearity, ignoring spatial structure in the data, and failing to recognize that genetic distances can be affected by variable local population density (Legendre & Fortin 2010; Jaquiéry et al. 2011; Graves et al. 2013).”
Re-Evaluating Causal Modeling with Mantel Tests in Landscape Genetics (2013, background): “Recently, Legendre and Fortin [20] clarified this confusion.”
Testing environmental and genetic effects in the presence of spatial autocorrelation (2014, methodology): “Despite additional criticisms (Raufaste and Rousset 2001, Rousset 2002), the approach keep being used, and defended (Legendre and Fortin 2010, Appendix 3).”
Circuit Theory and Model-Based Inference for Landscape Connectivity (2013, positive): “…results in the highest correlation to the observed distance matrix is chosen (e.g., Cushman et al. 2006; Cushman, McKelvey, and Schwartz 2009; Wang, Savage, and Bradley Shaffer 2009; Shirk et al. 2010), with significance assessed through Mantel permutation tests (e.g., Legendre and Fortin 2010).”
Aquatic insects in a sea of desert: population genetic structure is shaped by limited dispersal in a naturally fragmented landscape (2013, background): “Note, however, that the partial Mantel test can have inflated type I error with sample sizes less than ~ 50 (Legendre and Fortin 2010).”