How well do multivariate data sets match? The advantages of a Procrustean superimposition approach over the Mantel test

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Combined amendment of immobilizers and the plant growth-promoting strain Burkholderia phytofirmans PsJN favours plant growth and reduces heavy metal uptake (2015, methodology): “A confirmatory Procrustes analysis was performed in the vegan R package on PCoA ordinations based on the same distance matrices for comparing the samples distribution between rhizosphere and shoot (Peres-Neto and Jackson, 2001).”
Microclimate and habitat heterogeneity as the major drivers of beetle diversity in dead wood (2016, neutral): “S3) using the function protest with 1000 iterations (Peres-Neto & Jackson 2001).”
Ecological genomics meets community-level modelling of biodiversity: mapping the genomic landscape of current and future environmental adaptation. (2015, methodology): “…mapped genetic patterns for reference SNPs and the four candidate SNP data sets, we performed a Procrustes superimposition on the resulting PCA ordinations, where the matrices were rotated to minimise the sum of square of the distances between the sites in genetic space (Peres-Neto & Jackson 2001).”