Measuring fractions of beta diversity and their relationships to nestedness: a theoretical and empirical comparison of novel approaches

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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): “…these different components has been a field of much recent development (Baselga 2010, 2012; Podani & Schmera 2011; Carvalho, Cardoso & Gomes 2012; Carvalho et al. 2013; Legendre 2014), including when phylogenetic or functional relations between species are taken into account (Cardoso et al.…”
Interpreting the replacement and richness difference components of beta diversity (2014, background): “1 are found in several papers (e.g. Williams, 1996; Baselga, 2010, 2012; Podani & Schmera, 2011; Carvalho et al., 2013).”
Partitioning taxon, phylogenetic and functional beta diversity into replacement and richness difference components (2014, methodology): “These approaches were adapted to the analysis of Pb (Leprieur et al., 2012) and Fb (Vill eger et al., 2013), but such methods present several shortcomings (see below; Schmera & Podani, 2011; Almeida-Neto et al., 2012; Carvalho et al., 2012, 2013).”
Comparing methods to separate components of beta diversity (2015, methodology): “…between indices and processes in which species are replaced and/or lost have been used to assess the respective merits of BAS and POD frameworks (Carvalho et al. 2013; Legendre 2014), we here introduce alternative simulations to evaluate whether tests of monotonicity are suitable ways to assess…”