Biodiversity Conservation and Phylogenetic Systematics

129 range-extent too small to overlap with the nearest site. This number corresponds to the demand point’s total contribution to ...

130 p ds dr i d n j n ij j j n ij z i j n ij = (()− ) ()−       ()− ∑ ∑∑ ∑ ∑ = == = 1 11 1 11 1 / ii n i j n ij r = d = ∑( ...

131 Application of the Ferrier et al. formula will select a duplicate intact site at point b (over a wide range of values of s a ...

132 advantages over the similar EDcalculations.TheirMCRmethodshareswithED several useful properties, including a similar unimoda ...

133 Fig. 6 (a) A hypothetical gradient (for example, from GDM) with selected sites (solid circles), and two candidate sites for ...

134 ED correctly prefers site B, in accord with the unimodal model and counting-up property. ED-complementarity for the gain of ...

135 to have evaluated the continuous ED method of Faith and Walker (1996a), but in fact used a quite different method (see Faith ...

136 ( 2008 ) “allows estimation of the proportion of species expected to be retained in any defined region of interest,” These p ...

137 GEO BON Future applications may require this full range of ED calculations. ED is one candi- date biodiversity assessment st ...

138 AustinMP(1985)Continuumconcept,ordinationmethods,andnichetheory.AnnRevEcolSyst 16:39–61 Beier P, Albuquerque F (2015) Enviro ...

139 FaithDP,MagallónS,HendryAP,ContiE,YaharaT,DonoghueMJ(2010)Evosystemservices: anevolutionaryperspectiveonthelinksbetweenbiodi ...

© The Author(s) 2016 141 R. Pellens, P. Grandcolas (eds.), Biodiversity Conservation and Phylogenetic Systematics, Topics in Bio ...

142 Introduction Many of the most pressing and fundamental questions in biodiversity conservation require robust and sensible me ...

143 Hill numbers obey the replication principle or doubling property, an essential mathematical property that capture biologists ...

14 4 are important advantages to incorporating abundance information into phylogenetic diversity measures for conservation. For ...

145 generalizations (section “Phylogeneticgeneralizedentropies”) for an assemblage. Then we focus on the framework of Hill numbe ...

146 The parameter q determines the sensitivity of the measure to the relative frequencies of the species. When q = 0, qH becomes ...

147 in the special case of no phylogenetic structure (all species are equally related to one another), dii = 0 and dij = 1 (i ≠ ...

148 measures into a class of diversity measures called “Hill numbers” of order q, or the “effective number of species”, defined ...

149 accurately reflects the compositional similarity of the communities. The replication principle is best known in economics, w ...