Partitioning taxon, phylogenetic and functional beta diversity into replacement and richness difference components

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BAT – Biodiversity Assessment Tools, an R package for the measurement and estimation of alpha and beta taxon, phylogenetic and functional diversity (2015, methodology): “All these approaches were first developed for TD and only recently adapted for other dimensions of biodiversity, namely PD andFD (Cardoso et al. 2014a).”
Interpreting the replacement and richness difference components of beta diversity (2014, background): “The indices can also be modified to incorporate phylogenetic information about species relatedness (Leprieur et al., 2012; Cardoso et al., 2014).”
Comparing methods to separate components of beta diversity (2015, background): “In turn, a new name should be given to those indices depending both on species replacement and richness difference, as those derived from the POD framework (Podani & Schmera 2011; Carvalho, Cardoso & Gomes 2012; Cardoso et al. 2014; Legendre 2014).”