172
Morisita M (1959) Measuring of interspecific association and similarity between communities.
Memoires of the Faculty of Science, Kyushu University. Ser E (Biol) 3:65–80
Mouchet MA, Mouillot D (2011) Decomposing phylogenetic entropy into α, β and γ components.
Biol Lett 7(2):205–209
Nipperess DA, Matsen FA IV (2013) The mean and variance of phylogenetic diversity under rar-
efaction. Methods Ecol Evol 4:566–572
PatilGP,TaillieC(1979)Astudyondiversityprofilesandorderingsforabirdcommunityinthe
vicinityofColstrip,Montana.In:PatilGP,RosenzweigM(eds)Contemporaryquantitative
ecologyandrelatedeconometrics.InternationalCo-operativePublishingHouse,Fairland,
pp 23–48
PatilGP,TaillieC(1982)Diversityasaconceptanditsmeasurement.JAmStatAssoc
77:548–561
PavoineS,LoveMS,BonsallMB(2009)Hierarchicalpartitioningofevolutionaryandecological
patterns in the organization of phylogenetically structured species assemblages: application to
rockfish (genus: Sebastes) in the Southern California Bight. Ecol Lett 12(9):898–908
PavoineS,BaguetteM,BonsallMB(2010)Decompositionoftraitdiversityamongthenodesofa
phylogenetic tree. Ecol Monogr 80(3):485–507
PeetRK(1974)Themeasurementofspeciesdiversity.AnnuRevEcolSyst5:285–307
PetcheyOL,GastonKJ(2002)Functionaldiversity(FD),speciesrichnessandcommunitycompo-
sition. Ecol Lett 5(3):402–411
PielouEC(1975)Ecologicaldiversity.Wiley,NewYork
PurvisA,HectorA(2000)Gettingthemeasureofbiodiversity.Nature405(6783):212–219
RaoCR(1982)Diversityanddissimilaritycoefficients:aunifiedapproach.TheorPopulBiol
21(1):24–43
RényiA(1961)Onmeasuresofentropyandinformation.In:NeymanJ(ed)Proceedingsofthe
fourth Berkeley symposium on mathematical statistics and probability, vol 1. University of
CaliforniaPress,Berkeley,pp547–561
RicottaC,SzeidlL(2009)DiversitypartitioningofRao’squadraticentropy.TheorPopulBiol
76(4):299–302
RoutledgeR(1979)Diversityindices:whichonesareadmissible?JTheorBiol76(4):503–515
Tilman D (2001) Functional diversity. In: Levin AS (ed) Encyclopedia of biodiversity, vol 3.
AcademicPress,SanDiego,pp109–120
Tsallis C (1988) Possible generalization of Boltzmann-Gibbs statistics. J Stat Phys
52(1):479–487
Vellend M, Cornwell WK, Magnuson-Ford K, Mooers A (2011) Measuring phylogenetic biodiver-
sity. In: Magurran AE, McGill BJ (eds) Biological diversity: frontiers in measurement and
assessment.OxfordUniversityPress,Oxford,pp194–207
WarwickR,ClarkeK(1995)New‘biodiversity’measuresrevealadecreaseintaxonomicdistinct-
nesswithincreasingstress.MarEcolProgSer129(1):301–305
Webb CO (2000) Exploring the phylogenetic structure of ecological communities: an example for
rain forest trees. Am Nat 156:145–155
WebbCO,AckerlyDD,McPeekMA,DonoghueMJ(2002)Phylogeniesandcommunityecology.
AnnuRevEcolSyst33:475–505
Webb CO, Losos JB, Agrawal AA (2006) Integrating phylogenies into community ecology.
Ecology 87(sp7):S1–S2
Weiher E (2011) A primer of trait and functional diversity. In: Magurran AE, McGill BJ (eds)
Biologicaldiversity:frontiersinmeasurementandassessment.OxfordUniversityPress,
Oxford, pp 175–193
WhittakerRH(1972)Evolutionandmeasurementofspeciesdiversity.Taxon12:213–251
A. Chao et al.