Reconstructing community relationships: the impact of sampling error, ordination approach, and gradient length

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Prominent role of invasive species in avian biodiversity loss (2009, background): “Moreover, recent work (Hirst and Jackson, 2007) has shown that PCA successfully deals with presence–absence data.”
Biogeography of terrestrial and freshwater vertebrates from the late Cretaceous (Campanian) Western Interior of North America (2010, unknown): “However, Hirst and Jackson (2007) tested the affects ofmissingdata and type of ordination method on large gradients; their results show that CorrespondenceAnalysis is themost effectivemethod for long gradients”
Addressing the removal of rare species in multivariate bioassessments: The impact of methodological choices (2012, methodology): “, 2001); although other studies find NMDS less robust (Hirst and Jackson, 2007).”
A weak upward elevational shift in the distributions of breeding birds in the Italian Alps (2009, methodology): “We did not use detrended correspondence analysis because of theoretical (Wartenberg et al., 1987, Legendre & Legendre, 1998) as well as empirical (Hirst & Jackson, 2007) controversy, especially concerning the underlying hypothesis of constant turnover along the gradient.”