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							                      Electronic Supplementary Material for
      Reservoirs of richness: least disturbed tropical forests are centres of
                          undescribed species diversity



Table of Contents                                                                            Page
1.   Supplementary Tables S1–S6                                                              2

     This section contains data tables as well as tables of statistical analyses

2.   Supplementary Figures S1                                                                20

     This section comprises of figures that support the results presented in the main text          main text

3.   Appendix 1                                                                              21
     A brief description of the methodology employed to identify outliers

4.   Appendix 2                                                                              23

     Plots of observed versus fitted number of species, and observed versus fitted
     efficiency variable for amphibians

5.   Appendix 3                                                                              27
     Plots of observed versus fitted number of species, and observed versus fitted
     efficiency variable for land mammals




                                                   1
Supplementary Table S1. List of amphibian species for which range maps are not available. Also
shown are the species authority (Authority), 2010 IUCN Red List conservation status (Status), and the
year of description of the basionym (Year of Description).

Species                         Authority                              Status     Year of
                                                                                  Description
Adenomus kandianus              (Günther, 1872)                        EX         1872
Albericus variegates            (van Kampen, 1923)                     DD         1923
Alsodes laevis                  (Philippi, 1902)                       DD         1902
Ameerega labialis               (Cope, 1874)                           DD         1874
Ameerega maculate               (Peters, 1873)                         DD         1873
Amietophrynus chudeaui          (Chabanaud, 1919)                      DD         1919
Atretochoana eiselti            (Taylor, 1968)                         DD         1968
Boulengerula denhardti          Nieden, 1912                           DD         1912
Caecilia albiventris            Daudin, 1803                           DD         1803
Caecilia armata                 Dunn, 1942                             DD         1942
Caecilia mertensi               Taylor, 1973                           DD         1973
Caecilia subterminalis          Taylor, 1968                           DD         1968
Calamita melanorabdotus         Schneider, 1799                        DD         1799
Calamita quadrilineatus         Schneider, 1799                        DD         1799
Caudacaecilia nigroflava        (Taylor, 1960)                         DD         1960
Ceuthomantis aracamuni          (Barrio-Amorós & Molina, 2006)         VU         2006
Ceuthomantis cavernibardus      (Myers & Donnelly, 1997)               DD         1997
Chthonerpeton braestrupi        Taylor, 1968                           DD         1968
Chthonerpeton exile             Nussbaum and Wilkinson, 1987           DD         1987
Chthonerpeton perissodus        Nussbaum and Wilkinson, 1987           DD         1987
Dendropsophus grandisonae       (Goin, 1966)                           DD         1966
Epicrionops lativittatus        Taylor, 1968                           DD         1968
Eurycea chamberlaini            Harrison and Guttman, 2003             DD         2003
Fejervarya altilabris           (Blyth, 1856)                          DD         1856
Fejervarya assimilis            (Blyth, 1852)                          DD         1852
Fejervarya brama                (Lesson, 1834)                         DD         1834
Fejervarya schlueteri           (Werner, 1893)                         DD         1893
Gastrotheca pulchra             Caramaschi and Rodrigues, 2007         DD         2007
Hyla auraria                    Peters, 1873                           DD         1873
Hyla helenae                    Ruthven, 1919                          DD         1919
Hyla javana                     Ahl, 1926                              DD         1926
Hyla molitor                    Schmidt, 1857                          DD         1857
Hyla surinamensis               Daudin, 1802                           DD         1802
Hylambates dorsalis             Peters, 1875                           DD         1875
Hyloscirtus estevesi            (Rivero, 1968)                         DD         1968
Hyperolius acuticephalus        Ahl, 1931                              DD         1931
Hyperolius albofrenatus         Ahl, 1931                              DD         1931
Hyperolius houyi                Ahl, 1931                              DD         1931
Hyperolius laticeps             Ahl, 1931                              DD         1931
Hyperolius lucani               Rochebrune, 1885                       DD         1885


                                                 2
Hyperolius maestus           Rochebrune, 1885                   DD   1885
Hyperolius protchei          Rochebrune, 1885                   DD   1885
Hyperolius raveni            Ahl, 1931                          DD   1931
Hyperolius                   Ahl, 1931                          DD   1931
thoracotuberculatus
Hyperolius tornieri          Ahl, 1931                          DD   1931
Hypsiboas albovittatus       (Lichtenstein and Martens, 1856)   DD   1856
Hypsiboas hypselops          Cope, 1871                         DD   1871
Hypsiboas palliates          (Cope, 1863)                       DD   1863
Hypsiboas roeschmanni        (DeGrys, 1938)                     DD   1938
Ichthyophis atricollaris     Taylor, 1965                       DD   1965
Ichthyophis bernisi          Salvador, 1975                     DD   1975
Ichthyophis humphreyi        Taylor, 1973                       DD   1973
Ichthyophis javanicus        Taylor, 1960                       DD   1960
Ichthyophis laosensis        Taylor, 1969                       DD   1969
Incilius intermedius         (Günther, 1858)                    DD   1858
Kaloula macrocephala         Bourret, 1942                      DD   1942
Kurixalus hainanus           (Zhao, Wang and Shi, 2005)         DD   2005
Leptodactylus hallowelli     (Cope, 1862)                       DD   1862
Leptodactylus pascoensis     Heyer, 1994                        VU   1994
Limnonectes limborgi         (Sclater, 1892)                    DD   1892
Litoria jeudii               (Werner, 1901)                     DD   1901
Microcaecilia                Taylor, 1969                       DD   1969
supernumeraria
Mimosiphonops reinhardti     Wilkinson and Nussbaum, 1992       DD   1992
Nannophrys guentheri         Boulenger, 1882                    EX   1882
Nasikabatrachus              Biju & Bossuyt, 2003               EN   2003
sahyadrensis
Noblella peruviana           (Noble, 1921)                      DD   1921
Odorrana sinica              (Ahl, 1927)                        DD   1927
Oreolalax weigoldi           (Vogt, 1924)                       DD   1924
Oreophryne wolterstorffi     (Werner, 1901)                     DD   1901
Oreophryne zimmeri           Ahl, 1933                          DD   1933
Oscaecilia equatorialis      Taylor, 1973                       DD   1973
Oscaecilia zweifeli          Taylor, 1968                       DD   1968
Pelophryne macrotis          (Boulenger, 1895)                  DD   1895
Pelophylax demarchii         (Scortecci, 1929)                  DD   1929
Philautus dubius             (Boulenger, 1882)                  DD   1882
Phrynobatrachus congicus     (Ahl, 1925)                        DD   1925
Platypelis cowanii           Boulenger, 1882                    DD   1882
Plethodontohyla angulifera   Werner, 1903                       DD   1903
Pleurodeles nebulosus        (Guichenot, 1850)                  VU   1850
Polypedates hecticus         Peters, 1863                       DD   1863
Pristimantis festae          (Peracca, 1904)                    EN   1904
Pseudophilautus extirpo      (Manamendra-Arachchi &             EX   2005
                             Pethiyagoda, 2005)
Pseudophilautus hypomelas    (Günther, 1876)                    EX   1876

                                              3
Pseudophilautus leucorhinus   (Lichtenstein & Martens, 1856)       EX   1856
Pseudophilautus               (Ahl, 1927)                          EX   1927
malcolmsmithi
Pseudophilautus nanus         (Günther, 1869)                      EX   1869
Pseudophilautus nasutus       (Günther, 1869)                      EX   1869
Pseudophilautus               (Günther, 1872)                      EX   1872
oxyrhynchus
Pseudophilautus pardus        (Meegaskumbura, Manamendra-          EX   2007
                              Arachchi, Schneider & Pethiyagoda,
                              2007)
Pseudophilautus rugatus       (Ahl, 1927)                          EX   1927
Pseudophilautus temporalis    (Günther, 1864)                      EX   1864
Pseudophilautus variabilis    (Günther, 1858)                      EX   1858
Pseudophilautus zal           (Manamendra-Arachchi &               EX   2005
                              Pethiyagoda, 2005)
Pyxicephalus cordofanus       Steindachner, 1867                   DD   1867
Ranitomeya flavovittata       (Schulte, 1999)                      DD   1999
Ranitomeya rubrocephala       (Schulte, 1999)                      DD   1999
Raorchestes beddomii          (Günther, 1876)                      NT   1876
Raorchestes flaviventris      (Boulenger, 1882)                    DD   1882
Rhacophorus depressus         Ahl, 1927                            DD   1927
Rhacophorus edentulus         Müller, 1894                         DD   1894
Rhinella sima                 (Schmidt, 1857)                      DD   1857
Rhinella truebae              (Lynch and Renjifo, 1990)            DD   1990
Scaphiophryne obscura         (Grandidier, 1872)                   DD   1872
Scinax strigilatus            (Spix, 1824)                         DD   1824
Scutiger bhutanensis          Delorme and Dubois, 2001             DD   2001
Siphonops leucoderus          Taylor, 1968                         DD   1968
Sphaenorhynchus               (Werner, 1894)                       DD   1894
platycephalus
Zachaenus roseus              Cope, 1890                           DD   1890




                                                4
Supplementary Table S2. List of land mammal species for which range maps are not available. Also
shown are the species authority (Authority), 2010 IUCN Red List conservation status (Status), and the
year of description of the basionym (Year of Description).

Species                           Authority                          Status     Year of
                                                                                Description
Acomys nesiotes                   Bate, 1903                         DD         1903
Arctocephalus australis           (Zimmermann, 1783)                 LC         1783
Arctocephalus forsteri            (Lesson, 1828)                     LC         1828
Arctocephalus galapagoensis       Heller, 1904                       EN         1904
Arctocephalus gazella             (Peters, 1875)                     LC         1875
Arctocephalus philippii           (Peters, 1872)                     NT         1872
Arctocephalus pusillus            (Schreber, 1775)                   LC         1775
Arctocephalus townsendi           Merriam, 1897                      NT         1897
Arctocephalus tropicalis          Gray, 1872)                        LC         1872
Bettongia pusilla                 McNamara, 1997                     EX         1997
Bison bonasus                     (Linnaeus, 1758)                   VU         1758
Boromys offella                   Miller, 1916                       EX         1916
Boromys torrei                    Allen, 1917                        EX         1917
Bos primigenius                   Bojanus, 1827                      EX         1827
Brotomys voratus                  Miller, 1916                       EX         1916
Callorhinus ursinus               (Linnaeus, 1758)                   VU         1758
Caloprymnus campestris            (Gould, 1843)                      EX         1843
Canis rufus                       Audubon & Bachman, 1851            CR         1851
Chaeropus ecaudatus               (Ogilby, 1838)                     EX         1838
Conilurus albipes                 (Lichtenstein, 1829)               EX         1829
Coryphomys buehleri               Schaub, 1937                       EX         1937
Crocidura dhofarensis             Hutterer & Harrison, 1988          DD         1988
Cryptonanus ignites               (Díaz, Flores & Barquez, 2002)     EX         2002
Cryptoprocta spelea               G. Grandidier, 1902                EX         1902
Cuscomys oblativa                 (Eaton, 1916)                      EX         1916
Cystophora cristata               (Erxleben, 1777)                   VU         1777
Desmodus draculae                 Morgan, Linares & Ray, 1988        EX         1988
Dusicyon australis                (Kerr, 1792)                       EX         1792
Elaphurus davidianus              Milne-Edwards, 1866                EW         1866
Eptesicus kobayashii              Mori, 1928                         DD         1928
Equus ferus                       Boddaert, 1785                     CR         1785
Erignathus barbatus               (Erxleben, 1777)                   LC         1777
Eudorcas rufina                   (Thomas, 1894)                     DD         1894
Eumetopias jubatus                (Schreber, 1776)                   EN         1776
Gazella Arabica                   (Lichtenstein, 1827)               DD         1827
Gazella bilkis                    Groves & Lay, 1985                 EX         1985
Gazella saudiya                   Carruthers & Schwarz, 1935         EX         1935
Geocapromys columbianus           (J. Fischer, 1829)                 EX         1829
Geocapromys thoracatus            (True, 1888)                       EX         1888
Gerbillus agag                    Thomas, 1903                       DD         1903


                                                 5
Gerbillus burtoni          F. Cuvier, 1838                DD   1838
Halichoerus grypus         (Fabricius, 1791)              LC   1791
Heteropsomys insulans      Anthony, 1916                  EX   1916
Hexolobodon phenax         Miller, 1929                   EX   1929
Hippopotamus lemerlei      Grandidier in Milne-Edwards,   EX   1868
                           1868
Hippopotamus               Guldberg, 1883                 EX   1883
madagascariensis
Hippotragus leucophaeus    (Pallas, 1766)                 EX   1766
Histriophoca fasciata      Zimmerman, 1783                DD   1783
Homo sapiens               Linnaeus, 1758                 LC   1758
Hydrurga leptonyx          (de Blainville, 1820)          LC   1820
Isolobodon montanus        (Miller, 1922)                 EX   1922
Isolobodon portoricensis   Allen, 1916                    EX   1916
Juscelinomys candango      Moojen, 1965                   EX   1965
Lagorchestes asomatus      Finlayson, 1943                EX   1943
Lagorchestes leporides     (Gould, 1841)                  EX   1841
Lagostomus crassus         Thomas, 1910                   EX   1910
Leptonychotes weddellii    (Lesson, 1826)                 LC   1826
Lobodon carcinophaga       (Hombron & Jacquinot, 1842)    LC   1842
Macropus greyi             Waterhouse, 1845               EX   1845
Macrotis leucura           (Thomas, 1887)                 EX   1887
Makalata obscura           (Wagner, 1840)                 DD   1840
Megalomys desmarestii      (J. Fischer, 1829)             EX   1829
Megalomys luciae           (Forsyth Major, 1901)          EX   1901
Megaoryzomys curioi        (Niethammer, 1964)             EX   1964
Mirounga angustirostris    (Gill, 1866)                   LC   1866
Mirza zaza                 Kappeler & Roos, 2005          DD   2005
Monachus monachus          (Hermann, 1779)                CR   1779
Monachus schauinslandi     Matschie, 1905                 CR   1905
Monachus tropicalis        (Gray, 1850)                   EX   1850
Mus musculus               Linnaeus, 1758                 LC   1758
Myotis australis           (Dobson, 1878)                 DD   1878
Myotis insularum           (Dobson, 1878)                 DD   1878
Neotoma anthonyi           J.A. Allen, 1898               EX   1898
Neotoma bunkeri            Burt, 1932                     EX   1932
Neotoma martinensis        Goldman, 1905                  EX   1905
Neovison macrodon          (Prentis, 1903)                EX   1903
Nesophontes edithae        Anthony, 1916                  EX   1916
Nesophontes hypomicrus     Miller, 1929                   EX   1929
Nesophontes major          Arredondo, 1970                EX   1970
Nesophontes micrus         G.M. Allen, 1917               EX   1917
Nesophontes paramicrus     Miller, 1929                   EX   1929
Nesophontes zamicrus       Miller, 1929                   EX   1929
Nesoryzomys darwini        Osgood, 1929                   EX   1929
Nesoryzomys indefessus     (Thomas, 1899)                 EX   1899


                                         6
Noronhomys vespuccii       Carleton & Olson, 1999     EX   1999
Notomys amplus             Brazenor, 1936             EX   1936
Notomys longicaudatus      (Gould, 1844)              EX   1844
Notomys macrotis           Thomas, 1921               EX   1921
Notomys mordax             Thomas, 1922               EX   1922
Nycticeius aenobarbus      Temminck, 1840             DD   1840
Odobenus rosmarus          (Linnaeus, 1758)           DD   1758
Oligoryzomys victus        (Thomas, 1898)             EX   1898
Ommatophoca rossii         (Gray, 1844)               LC   1844
Onychogalea lunata         (Gould, 1841)              EX   1841
Oryx dammah                (Cretzschmar, 1826)        EW   1826
Oryx leucoryx              (Pallas, 1777)             EN   1777
Oryzomys antillarum        Thomas, 1898               EX   1898
Oryzomys curasoae          McFarlane & Debrot, 2001   DD   2001
Oryzomys nelson            Merriam, 1898              EX   1898
Otaria flavescens          (Shaw, 1800)               LC   1800
Pagophilus groenlandicus   (Erxleben, 1777)           LC   1777
Palaeopropithecus ingens   G. Grandidier, 1899        EX   1899
Perameles eremiana         Spencer, 1897              EX   1897
Peromyscus pembertoni      Burt, 1932                 EX   1932
Phoca largha               (Pallas, 1811)             DD   1811
Phoca vitulina             Linnaeus, 1758             LC   1758
Phocarctos hookeri         (Peters, 1866)             VU   1866
Phoniscus aerosa           (Tomes, 1858)              DD   1858
Pipistrellus sturdeei      Thomas, 1915               DD   1915
Plagiodontia ipnaeum       Johnson, 1948              EX   1948
Potorous platyops          (Gould, 1844)              EX   1844
Prolagus sardus            (Wagner, 1832)             EX   1832
Pseudomys glaucus          Thomas, 1910               EX   1910
Pseudomys gouldii          (Waterhouse, 1839)         EX   1839
Pteropus brunneus          Dobson, 1878               EX   1878
Pteropus pilosus           K. Andersen, 1908          EX   1908
Pteropus subniger          (Kerr, 1792)               EX   1792
Pteropus tokudae           Tate, 1934                 EX   1934
Pusa caspica               (Gmelin, 1788)             EN   1788
Pusa hispida               (Schreber, 1775)           LC   1775
Pusa sibirica              (Gmelin, 1788)             LC   1788
Rattus macleari            (Thomas, 1887)             EX   1887
Rattus nativitatis         (Thomas, 1889)             EX   1889
Rhinopoma macinnesi        Hayman, 1937               DD   1937
Rucervus schomburgki       (Blyth, 1863)              EX   1863
Sciurus aureogaster        F. Cuvier, 1829            LC   1829
Solenodon marcanoi         (Patterson, 1962)          EX   1962
Solomys salamonis          (Ramsay, 1883)             DD   1883
Thylacinus cynocephalus    (Harris, 1808)             EX   1808
Tupaia moellendorffi       Matschie, 1898             DD   1898

                                         7
Xenothrix mcgregori      Williams & Koopman, 1952   EX   1952
Zalophus californianus   (Lesson, 1828)             LC   1828
Zalophus japonicas       (Peters, 1866)             EX   1866
Zalophus wollebaeki      Sivertsen, 1953            EN   1953




                                      8
Supplementary Table S3. Names of realm-biomes used in the analyses

Code       Realm-biome

AA1        Australasia - Tropical and subtropical moist broadleaf forests

AA2        Australasia - Tropical and subtropical dry broadleaf forests

AA4        Australasia - Temperate broadleaf and mixed forests

AA7        Australasia - Tropical and subtropical grasslands, savannas, and shrublands

AA8        Australasia - Temperate grasslands, savannas, and shrublands

AA10       Australasia - Montane grasslands and shrublands

AA11       Australasia - Tundra

AA12       Australasia - Mediterranean forests, woodlands, and scrub or Sclerophyll
           forests

AA13       Australasia - Deserts and xeric shrublands

AA14       Australasia - Mangrove

AT1        Afrotropics - Tropical and subtropical moist broadleaf forests

AT2        Afrotropics - Tropical and subtropical dry broadleaf forests

AT7        Afrotropics - Tropical and subtropical grasslands, savannas, and shrublands

AT8        Afrotropics - Temperate grasslands, savannas, and shrublands

AT9        Afrotropics - Flooded grasslands, savannas

AT10       Afrotropics - Montane grasslands and shrublands

AT12       Afrotropics - Mediterranean forests, woodlands, and scrub or Sclerophyll
           forests

AT13       Afrotropics - Deserts and xeric shrublands

AT14       Afrotropics - Mangrove

IM1        Indomalaya - Tropical and subtropical moist broadleaf forests

IM2        Indomalaya - Tropical and subtropical dry broadleaf forests

IM3        Indomalaya - Tropical and subtropical coniferous forests

IM4        Indomalaya - Temperate broadleaf and mixed forests

IM5        Indomalaya - Temperate coniferous forests

IM7        Indomalaya - Tropical and subtropical grasslands, savannas, and shrublands

IM9        Indomalaya - Flooded grasslands, savannas


                                                 9
IM10   Indomalaya - Montane grasslands and shrublands

IM13   Indomalaya - Deserts and xeric shrublands

IM14   Indomalaya - Mangrove

NA2    Nearctic - Tropical and subtropical dry broadleaf forests

NA3    Nearctic - Tropical and subtropical coniferous forests

NA4    Nearctic - Temperate broadleaf and mixed forests

NA5    Nearctic - Temperate coniferous forests

NA6    Nearctic - Boreal forests

NA7    Nearctic - Tropical and subtropical grasslands, savannas, and shrublands

NA8    Nearctic - Temperate grasslands, savannas, and shrublands

NA11   Nearctic - Tundra

NA12   Nearctic - Mediterranean forests, woodlands, and scrub or Sclerophyll forests

NA13   Nearctic - Deserts and xeric shrublands

NT1    Neotropics - Tropical and subtropical moist broadleaf forests

NT2    Neotropics - Tropical and subtropical dry broadleaf forests

NT3    Neotropics - Tropical and subtropical coniferous forests

NT4    Neotropics - Temperate broadleaf and mixed forests

NT7    Neotropics - Tropical and subtropical grasslands, savannas, and shrublands

NT8    Neotropics - Temperate grasslands, savannas, and shrublands

NT9    Neotropics - Flooded grasslands, savannas

NT10   Neotropics - Montane grasslands and shrublands

NT12   Neotropics - Mediterranean forests, woodlands, and scrub or Sclerophyll
       forests

NT13   Neotropics - Deserts and xeric shrublands

NT14   Neotropics - Mangrove

OC1    Oceania - Tropical and subtropical moist broadleaf forests

OC2    Oceania - Tropical and subtropical dry broadleaf forests

OC7    Oceania - Tropical and subtropical grasslands, savannas, and shrublands

PA1    Palearctic - Tropical and subtropical moist broadleaf forests

PA4    Palearctic - Temperate broadleaf and mixed forests


                                            10
PA5    Palearctic - Temperate coniferous forests

PA6    Palearctic - Boreal forests

PA8    Palearctic - Temperate grasslands, savannas, and shrublands

PA9    Palearctic - Flooded grasslands, savannas

PA10   Palearctic - Montane grasslands and shrublands

PA11   Palearctic - Tundra

PA12   Palearctic - Mediterranean forests, woodlands, and scrub or Sclerophyll forests

PA13   Palearctic - Deserts and xeric shrublands




                                            11
Supplementary Table S4. Candidate GLMs used to identify the predictors of the proportion of
undescribed species. Predictor terms are human footprint index (HFI) and a binary classifier where a
realm-biome is either a tropical forest or not (TropFor).

Response variable                    Predictor            Hypothesized relationship
                                     variables

                                     HFI                  A decrease in HFI increases the proportion of
                                                          undescribed species within biomes

                                     TropFor              A tropical forest realm-biome increases the
Response = logit (p),
                                                          proportion of undescribed species within
where                                                     biomes

Yi ~ Bin(ni, pi),                    HFI + TropFor        A decrease in HFI and being a tropical forest
                                                          increases the proportion of undescribed
Yi is the estimated number of
                                                          species within biomes simultaneously.
undescribed species in realm-
biome i,                             HFI + TropFor +      A decrease in HFI and being a tropical forest
                                     HFI*TropFor          increases the proportion of undescribed
ni is the total number of species
                                                          species within biomes simultaneously.
in realm-biome I,
                                                          Also an additional interaction effect where
pi is the probability of a species
                                                          being a tropical forest increases the slope of
being an undescribed species in
                                                          the human footprint term.
realm-biome i
                                     Null                 The proportion of undescribed species within
                                                          biomes is stochastic and cannot be predicted
                                                          by either HFI or TropFor.




                                                     12
Supplementary Table S5. The estimated number and proportion of undescribed species globally and in each realm-biome. Realm-biome units ranked in
order of the estimated proportion ofundescribed amphibian species in each realm-biome. Ndesc = number of described species currently known to science;
Ntot = estimated total number of species; Nundesc = estimated number of undescribed species; % = proportion of undescribed species in each realm-biome,
expressed as a percentage; Outliers = the time-periods that were identified as outliers and removed from the analysis, a dash represents realm-biomes
where outliers are absent; IQR = the interquartile range for the estimated parameters; TropFor is a binary classifier where 1 represents a tropical forest
biome and 0 represents a non-tropical forest biome. HFI refers to the mean human footprint index of each realm-biome unit. DNC is used to represent
realm-biomes where we were unable to obtain estimates due to a lack of convergence.


                                                                 Amphibians                                         Land mammals
Code     Realm-biomes                             TropFor HFI    Ndesc   Ntot (IQR)   Nundesc    %        Outliers Ndesc    Ntot (IQR) Nundesc    %          Outliers
                                                                                      (IQR)                                            (IQR)
         Global amphibians                                       6296    9347         3051       32.64
                                                                         (9276-       (2980-
                                                                         9511)        3215)


         Global land mammals                                                                              1762      5398    5561       163 (159- 2.93        1762
                                                                                                                            (5557-     173)
                                                                                                                            5571)

AA1      Australasia - Tropical and subtropical   1        15    415     949 (929-    534 (514- 56.27     NA        471     517 (516- 46 (45-47) 8.90        NA
         moist broadleaf forests                                         1068)        653)                                  518)
AA10     Australasia - Montane grasslands and     0        11.4 71       133 (125-    62 (54-81) 46.62    NA        62      62 (62-62) 0 (0-0)   0.00        NA
         shrublands                                                      152)
NT1      Neotropics - Tropical and subtropical    1        15.1 2673     4454         1781       39.99    NA        1173    1253      80 (76-85) 6.38        1762,
         moist broadleaf forests                                         (4443-       (1770-                                (1249-                           1902
                                                                         4646)        1973)                                 1258)
PA5      Palearctic - Temperate coniferous        0        19.3 141      229 (226-    88 (85-92) 38.43    1762      309     335 (334- 26 (25-27) 7.76        1762,
         forests                                                         233)                                               336)                             1872,
                                                                                                                                                             1912

                                                                            13
NT10   Neotropics - Montane grasslands and      0   15.8 270   394 (379-    124 (109- 31.47     NA      240   240 (240- 0 (0-0)    0.00      NA
       shrublands                                              397)         127)                              240)
AT13   Afrotropics - Deserts and xeric          0   12.9 80    115 (114-    35 (34-38) 30.43    NA      272   274 (274- 2 (2-3)    0.73      1762
       shrublands                                              118)                                           275)
IM1    Indomalaya - Tropical and subtropical    1   28.5 936   1340         404 (391-   30.15   NA      888   906 (905- 18 (17-19) 1.99      1762
       moist broadleaf forests                                 (1327-       417)                              907)
                                                               1353)
AT12   Afrotropics - Mediterranean forests,     0   21.4 42    59 (58-59)   17 (16-17) 28.81    NA      37    37 (37-37) 0 (0-0)     0.00    NA
       woodlands, and scrub or Sclerophyll
       forests
PA12   Palearctic - Mediterranean forests,      0   34.3 92    127 (125- 35 (33-36) 27.56       NA      161   183 (181- 22 (20-22) 12.02 1762
       woodlands, and scrub or Sclerophyll                     128)                                           183)
       forests
PA1    Paleartic - Tropical and subtropical     1   28.7 98    125 (125- 27 (27-29) 21.60       NA      136   136 (136- 0 (0-0)      0.00    1872
       moist broadleaf forests                                 127)                                           136)
NA4    Nearctic - Temperate broadleaf and       0   31.6 155   190 (190- 35 (35-36) 18.42       1822,   111   111 (111- 0 (0-0)      0.00    NA
       mixed forests                                           191)                             1832,         111)
                                                                                                1867
NA3    Nearctic - Tropical and subtropical      1   20.2 57    69 (68-70) 12 (11-13) 17.39      NA      117   121 (121-    4 (4-5)   3.31    NA
       coniferous forests                                                                                     122)
NT7    Neotropics - Tropical and subtropical    0   19.6 430   516 (513-    86 (83-88) 16.67    NA      560   580 (580-    20 (20-21) 3.45   1762
       grasslands, savannas, and shrublands                    518)                                           581)
NT13   Neotropics - Deserts and xeric           0   25.9 197   227 (226-    30 (29-31) 13.22    NA      291   293 (293-    2 (2-2)   0.68    1762
       shrublands                                              228)                                           293)
AA7    Australasia - Tropical and subtropical   0   5.57 116   133 (131-    17 (15-18) 12.78    NA      177   182 (181-    5 (4-5)   2.75    1827
       grasslands, savannas, and shrublands                    134)                                           182)
AT1    Afrotropics - Tropical and subtropical   1   21.4 751   846 (844-    95 (93-    11.23    NA      821   879 (879-    58 (58-61) 6.60   1762
       moist broadleaf forests                                 853)         102)                              882)
PA4    Palearctic - Temperate broadleaf and     0   35.2 206   231 (230-    25 (24-27) 10.82    1762,   437   454 (453-    17 (16-18) 3.74   1762
       mixed forests                                           233)                             1772          455)
AA4    Australasia - Temperate broadleaf and    0   21.3 93    102 (101-    9 (8-9)     8.82    NA      95    95 (95-95)   0 (0-0)   0.00    NA
       mixed forests                                           102)
AT9    Afrotropics - Flooded grasslands,        0   21   40    43 (42-43)   3 (2-3)     6.98    NA      53    53 (53-53) 0 (0-0)     0.00    NA

                                                                  14
       savannas
PA10   Palearctic - Montane grasslands and       0   14   68    73 (72-74) 5 (4-6)      6.85   NA      268   273 (272- 5 (4-5)      1.83   NA
       shrublands                                                                                            273)
NT2    Neotropics - Tropical and subtropical     1   28.4 458   491 (489- 33 (31-36) 6.72      NA      522   522 (522- 0 (0-0)      0.00   1902
       dry broadleaf forests                                    494)                                         522)
IM3    Indomalaya - Tropical and subtropical     1   31.7 43    46 (46-46) 3 (3-3)   6.52      NA      52    52 (52-52) 0 (0-0)     0.00   NA
       coniferous forests
NA5    Nearctic - Temperate coniferous forests   0   16.3 149   158 (158-    9 (9-9)    5.70   NA      230   231 (231-    1 (1-1)   0.43   1762
                                                                158)                                         231)
NA13   Nearctic - Deserts and xeric shrublands 0     15.7 99    104 (104-    5 (5-5)    4.81   NA      282   290 (289-    8 (7-8)   2.76   NA
                                                                104)                                         290)
NT3    Neotropics - Tropical and subtropical     1   33.9 373   390 (389-    17 (16-17) 4.36   NA      232   232 (232-    0 (0-0)   0.00   1897,
       coniferous forests                                       390)                                         232)                          1902
AT10   Afrotropics - Montane grasslands and 0        29.7 161   168 (168-    7 (7-8)    4.17   NA      257   262 (262-    5 (5-5)   1.91   1762
       shrublands                                               169)                                         262)
NT8    Neotropics - Temperate grasslands,        0   18.9 50    52 (52-53)   2 (2-3)    3.85   NA      104   104 (104-    0 (0-0)   0.00   NA
       savannas, and shrublands                                                                              104)
NT9    Neotropics - Flooded grasslands,          0   16.2 70    72 (72-73) 2 (2-3)      2.78   1862    54    55 (55-55)   1 (1-1)   1.82   NA
       savannas
IM4    Indomalaya - Temperate broadleaf and 0        23.7 55    56 (56-56) 1 (1-1)      1.79   NA      67    67 (67-67) 0 (0-0)     0.00   NA
       mixed forests
IM2    Indomalaya - Tropical and subtropical 1       34.9 135   136 (136- 1 (1-1)       0.74   NA      257   257 (257- 0 (0-1)    0.00 NA
       dry broadleaf forests                                    136)                                         258)
AT7    Afrotropics - Tropical and subtropical    0   20   432   434 (434- 2 (2-2)       0.46   NA      791   807 (807- 16 (16-17) 1.98 1762,
       grasslands, savannas, and shrublands                     434)                                         808)                       1912
PA13   Palearctic - Deserts and xeric shrublands 0   10   34    34 (34-34) 0 (0-0)      0.00   NA      329   372 (370- 43 (41-44) 11.56 1762,
                                                                                                             373)                       1787,
                                                                                                                                        1797,
                                                                                                                                        1852,
                                                                                                                                        2002
PA8    Palearctic - Temperate grasslands,        0   27.1 30    30 (30-30) 0 (0-0)      0.00   1762;   254   277 (275- 23 (21-25) 8.30 1762
       savannas, and shrublands                                                                1772          279)
IM5    Indomalaya - Temperate coniferous         0   25.7 25    25 (25-25) 0 (0-0)      0.00   NA      35    37 (37-37) 2 (2-2)   5.41 NA

                                                                   15
       forests
AA13   Australasia - Deserts and xeric          0   3.57 32   32 (32-32) 0 (0-0)   0.00   NA   84    87 (87-87) 3 (3-3)   3.45   NA
       shrublands
AA12   Australasia - Mediterranean forests,     0   15.6 45   45 (45-45) 0 (0-0)   0.00   NA   58    58 (58-58) 0 (0-0)   0.00   NA
       woodlands, and scrub or Sclerophyll
       forests
AA8    Australasia - Temperate grasslands,      0   12.2 27   27 (27-27) 0 (0-0)   0.00   NA   47    47 (47-47) 0 (0-0)   0.00   NA
       savannas, and shrublands
IM13   Indomalaya - Deserts and xeric           0   35.7 30   30 (30-30) 0 (0-0)   0.00   NA   83    83 (83-83) 0 (0-0)   0.00   NA
       shrublands
NA12   Nearctic - Mediterranean forests,        0   29.2 34   34 (34-34) 0 (0-0)   0.00   NA   43    43 (43-43) 0 (0-0)   0.00   NA
       woodlands, and scrub or Sclerophyll
       forests
NA8    Nearctic - Temperate grasslands,         0   25.1 82   82 (82-82) 0 (0-0)   0.00   NA   168   168 (168- 0 (0-0)    0.00   NA
       savannas, and shrublands                                                                      168)
IM10   Indomalaya - Montane grasslands and      0   26.9 40   40 (40-40) 0 (0-0)   0.00   NA   19    Low
       shrublands                                                                                    sample
                                                                                                     size
AA2    Australasia - Tropical and subtropical   1   24.8 11   Low                              41    44 (43-44) 3 (2-3)   6.82   NA
       dry broadleaf forests                                  sample
                                                              size
AA14   Australasia - Mangrove                   0   10.8 3    Low                              63    63 (63-63) 0 (0-0)   0.00   NA
                                                              sample
                                                              size
AT14   Afrotropics - Mangrove                   0   30   1    Low                              34    34 (34-34) 0 (0-0)   0.00   NA
                                                              sample
                                                              size
IM14   Indomalaya - Mangrove                    0   35.8 7    Low                              111   111 (111- 0 (0-0)    0.00   NA
                                                              sample                                 111)
                                                              size
NA11   Nearctic - Tundra                        0   2.97 1    Low                              60    60 (60-60) 0 (0-0)   0.00   1762,
                                                              sample                                                             1967,
                                                              size                                                               1997

                                                                 16
NA6    Nearctic - Boreal forests                0   3.36 14   Low          79    79 (79-79) 0 (0-0)   0.00   1762,
                                                              sample                                         1967,
                                                              size                                           1997
NT12   Neotropics - Mediterranean forests,      0   26.3 10   Low          28    28 (28-28) 0 (0-0)   0.00   1762,
       woodlands, and scrub or Sclerophyll                    sample                                         1837,
       forests                                                size                                           1897,
                                                                                                             1947
NT14   Neotropics - Mangrove                    0   30.7 8    Low          30    30 (30-30) 0 (0-0)   0.00   1762,
                                                              sample                                         1792
                                                              size
NT4    Neotropics - Temperate broadleaf and     0   14   46   Decreasing   57    57 (57-57) 0 (0-0)   0.00   1782
       mixed forests                                          efficiency
                                                              (excluded)
PA11   Palearctic - Tundra                      0   3.94 3    Low          47    47 (47-47) 0 (0-0)   0.00   1762,
                                                              sample                                         1972
                                                              size
PA6    Palearctic - Boreal forests              0   8.53 11   Low          115   115 (115- 0 (0-0)    0.00   1762,
                                                              sample             115)                        1997
                                                              size
PA9    Palearctic - Flooded grasslands,         0   28.5 6    Low          22    22 (22-22) 0 (0-0)   0.00   NA
       savannas                                               sample
                                                              size
AA11   Australasia - Tundra                     0   -    0    Low          11    Low
                                                              sample             sample
                                                              size               size
AT2    Afrotropics - Tropical and subtropical   1   19.3 39   DNC          87    DNC
       dry broadleaf forests
AT8    Afrotropics - Temperate grasslands,      0   23.6 2    Low          4     Low
       savannas, and shrublands                               sample             sample
                                                              size               size
IM7    Indomalaya - Tropical and subtropical    0   38   10   Low          12    Low
       grasslands, savannas, and shrublands                   sample             sample
                                                              size               size

                                                                 17
IM9   Indomalaya - Flooded grasslands,          0   15.9 0    Low      3    Low
      savannas                                                sample        sample
                                                              size          size
NA2   Nearctic - Tropical and subtropical dry   1   22.9 8    Low      19   Low
      broadleaf forests                                       sample        sample
                                                              size          size
NA7   Nearctic - Tropical and subtropical       0   34.4 14   Low      5    Low
      grasslands, savannas, and shrublands                    sample        sample
                                                              size          size
OC1   Oceania - Tropical and subtropical moist 1    25.9 3    Low      11   Low
      broadleaf forests                                       sample        sample
                                                              size          size
OC2   Oceania - Tropical and subtropical dry    1   33.3 1    Low      6    Low
      broadleaf forests                                       sample        sample
                                                              size          size
OC7   Oceania - Tropical and subtropical        0   23.2 0    Low      0    Low
      grasslands, savannas, and shrublands                    sample        sample
                                                              size          size




                                                                18
Supplementary Table S6. Generalised linear mixed models (GLMMs) investigating the relationship
between year of description and probability of endangerment for amphibians (a) and mammals (b)
after removing species listed as threatened because of a limited range and/or population size . The
models are ranked by Akaike’s Information Criterion corrected for small sample size (AICc). Predictor
terms shown are Year = year of description. Also shown are the number of parameters (k), log
likelihood (LL), the difference in AICc of each model from the highest ranked model (∆AICc), AICc
weights representing the probability of each model being the best (wAICc), and the percent deviance
explained by each model (%DE).

(a) Amphibians (n = 3075, 312 threatened)
Rank Model                        k LL                 AICc        ∆AICc       wAICc      %DE
1      ~Year                      3 –978.73            1963.47     0.00        ≈1         3.05
2      Null                       2 –1009.48           2022.97     59.50       ≈0
(b) Mammals (n = 3905, 487 threatened)
Rank Model                         k LL                AICc        ∆AICc       wAICc      %DE
1      ~Year                      4 –1124.55           2257.12     0.00        ≈1         2.07
2      Null                       2 –1148.34           2300.68     43.56       ≈0




                                                 19
Supplementary Figure S1. The relationship between extinction proneness and year of description
after removing range and population restricted species for amphibians (a) and mammals (b) (see
table S6 for multimodel inference statistics). Black lines represent population level fitted values. The
fitted relationship between year of description and proportion of species threatened within each
phylogenetic (order) group are represented by colored, dotted lines. Mammal order abbreviations
— Afr: Afroscoricida, Car: Carnivora, Cet: Cetartiodactyla, Chr: Chiroptera, Cin: Cingulata, Das:
Dasyuromorphia, Der: Dermoptera, Did: Didelphimorphia, Dip: Diprotodontia, Eul: Eulipotyphla, Hyr:
Hyracoidea, Lag: Lagomorpha, Mac: Macroscelidea, Mic: Microbiotheria, Mon: Monotremata, Pau:
Paucituberculata, Pera: Peramelemorphia, Per: Perissodactyla, Pho: Pholidota, Pil: Pilosa, Pri:
Primates, Pro: Proboscidea, Rod: Rodentia, Sca: Scandentia, Tub: Tubulidentata.




                                                  20
Appendix 1.

Identifying outlying time periods

In our analysis, outliers were identified by comparing the fitted versus observed values of
the number of species observed in each time period ( and , respectively) as well as the
efficiency variable ( and , respectively). We adapted an approach proposed by Motulsky
and Brown [1] to identify and remove outliers in our data. We briefly summarise the
method here. For more detailed information, readers can refer to the original paper by
Motulsky and Brown [1].

        Motulsky and Brown [1] suggested a three-step method in identifying and removing
outliers in nonlinear regression problems where the goal is to minimize the sum of squares
of residuals. First, the model is to be fitted to the data using robust nonlinear regression.
Robust nonlinear regression fit is used as a ‘baseline’ from which outliers are detected. The
robust method is useful here because it gives progressively less weight to data points that
are far away from the fitted curve, therefore, ‘real’ outliers will be farther from the fitted
line and more likely to be identified as outliers in the second step of the method.

        Second, after the curve is fitted, we need to decide if each point is far enough from
the fitted curve to be declared an outlier. Moltulsky and Brown [1] adapted the concept of
the False Discovery Rate (FDR) [2,3] to identify outliers in the data. First, we calculate the
ratio of each residual to the robust standard deviation of the residuals (RSDR). The RSDR is
quantified by calculating the 68.27th percentile of the absolute values of the residuals with a
small-sample size correction (equation 1),

                                                                                      (1)

where n = sample size, and k = number of parameters in the model. The ratio of each
residual to RSDR approximately follows a t distribution. We calculate a t-statistic and its
corresponding two-tailed P-value for each data point with n-k degrees of freedom.
Following that, we need to decide on a value of Q, which represents the maximum number
of statistically-significant data points that are false-positives. For example, if Q is set to 1%,
we can expect less than 1% of the statistically significant findings to be false positives, while
more than 99% are real outliers. Motulsky and Brown suggested Q to be set at 1% after
testing the method with simulated data. They found that setting Q to 10% removes outliers
too liberally, and conversely, setting Q to 0.1% makes outlier removal too conservative.
Following the recommendations of Motulsky and Brown, we calculate an alpha for each
data-point which accounts for multiple-comparisions (equation 2),

                                                .                                      (2)

We then test if the P-value is lower than the corresponding α for each data point. If it is
lower, than this data point , together with all data points with a higher absolute residual, are


                                                21
considered as outliers. Finally, after identifying the outlying data points, we delete them and
run least-squares nonlinear regression on the remaining points.

In our analysis of outliers, the robust nonlinear regression models (implemented in R v.
2.12 [4], nlrob function in robustbase package) for many of the realm-biomes failed to
converge. Therefore, we used the regular least-squares fit instead of the robust fit to
establish the baseline fit. Taking into account that the regular least-squares fit reduces the
size of the residuals for potential outlying points, we set Q to 5% so that we are able to
capture outliers more efficiently. We feel that this is the fairest way to identify outliers as
the same model fit is applied to both amphibians and mammals in all realm-biomes. Using
this method across all realm-biomes also ensures that the results are comparable across
regions and taxa.

References

1.    Motulsky H. J., Brown R. E. 2006 Detecting outliers when fitting data with nonlinear
      regression – a new method based on robust nonlinear regression and the false
      discovery rate. BMC Bioinformatics 7, 1–20.
2.    Benjamini Y., Hochberg Y. 1995 Controlling the false discovery rate: A practical and
      powerful approach to multiple testing. J. Roy. Stat. Soc. B. 57, 290–300
3.    Benjamini Y., Yekutieli D. 2001 The control of the false discovery rate in multiple
      testing under dependency. Ann. Stat. 29,1165–1188
4.    R Development Core Team. 2009 R: A language and environment for statistical
      computing. Vienna: R Foundation for Statistical Computing.




                                              22
Appendix 2. Plots of observed versus fitted number of amphibian species (left panel) and fitted versus
observed value of efficiency (right panel) for each realm-biome and the global dataset. Left panel: Observed
number of species described in each five year period (dots), number of taxonomists (dashed line), expected
number of species as fitted by the model (bold line). Right panel: Observed value for efficiency E (=
            (dots), fitted value of E (   ) (line).




                                                      23
24
25
26
Appendix 3. Plots of observed versus fitted number of land mammal species (left panel) and fitted versus
observed value of efficiency (right panel) for each realm-biome and the global dataset. Figure legends follow
Appendix 2.




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