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Bias in extinction predictions
from species-area relationships

Corey J. A. Bradshaw
The Environment Institute, The University of Adelaide
• > 4 million protists

• 16600 protozoa

• 75000-300000 helminth parasites

• 1.5 million fungi

• 320000 plants

• 4-6 million arthropods

• > 6500 amphibians

• > 30000 fishes

• 10000 birds

• > 5000 mammals
Loarie et al. 2009 Geophys Res Lett 36:L14810   Bradshaw et al. 2009 Front Ecol Environ 7:79-87




Hansen et al. 2010 PNAS 107:8650-8655




                                                Bradshaw et al. 2009 Trends Ecol Evol 24:541-548
Bradshaw 2012 J Plant Ecol 5:109-120
N Stork
                                 X Giam                                 D Fordham
                                            B Brook     C Sekerçioglu
                                                                                              S Gregory




                                               LP Koh
                                                                   C Bradshaw         FL He




                               L Gibson

                                             C Bradshaw
S Gregory            N Stork        D Fordham         S Williams




            LP Koh   X Giam
                                              B Brook
S = cAz




Giam et al. 2011 J Biogeogr 38: 55–68
Koh & Ghazoul 2010 Conserv Biol 24: 994–1001
Koh et al. 2010 J Appl Ecol 47: 1063–1070
500
                                       300
                                       500 0 100
                                       300
                                       500 0 100
                                       300
He & Hubbell 2011 Nature 473 368–371




                                       500 0 100




                                                                                      Black(most aggregated):        zSAR=0.194 (0.00822)
                                       300




                                                                                      Blue (2nd most aggregated):    zSAR=1.791 (0.00657)
                                                                                      Green (3rd most aggregated):   zSAR=1.548 (0.00530)
                                       0 100




                                                                                      Red (least aggregated):        zSAR=1.398 (0.00531)

                                                   0   200   400   600   800   1000
                                                                                      Note: The values in parenthesis are std error
SIMULATED SPECIES DATA
                                                                              1.0
                                   1.0    random                                                                       1.0
                                          aggregated
                                                                              0.8
      Proportion species extinct




                                   0.8                                                                                 0.8


                                                                              0.6
                                   0.6                                                                                 0.6


                                   0.4
                                                                              0.4                                      0.4


                                   0.2                                        0.2                                      0.2


                                   0.0                                        0.0                                      0.0




                                                                                      1




                                                                                                   5




                                                                                                                   9




                                                                                                                                1




                                                                                                                                              5




                                                                                                                                                              9
                                           1




                                                          5




                                                                          9




                                                                                    0.




                                                                                                 0.




                                                                                                                 0.




                                                                                                                             0.




                                                                                                                                           0.




                                                                                                                                                           0.
                                         0.




                                                        0.




                                                                        0.




                                                 Proportional harvest                     Proportional harvest                      Proportional harvest




BARRO COLORADO ISLAND PLANTS
                                                                              1.0
                                   1.0    random                                                                       1.0
                                          aggregated          MVPp = 0                       MVPp = 0.05                              MVPp = 0.20
                                                                              0.8
  Proportion species extinct




                                   0.8                                                                                 0.8


                                                                              0.6
                                   0.6                                                                                 0.6


                                   0.4
                                                                              0.4                                      0.4


                                   0.2                                        0.2                                      0.2


                                   0.0                                        0.0                                      0.0
                                                                                      1




                                                                                                   5




                                                                                                                   9




                                                                                                                                1




                                                                                                                                              5




                                                                                                                                                              9
                                           1




                                                          5




                                                                          9




                                                                                    0.




                                                                                                 0.




                                                                                                                 0.




                                                                                                                             0.




                                                                                                                                           0.




                                                                                                                                                           0.
                                         0.




                                                        0.




                                                                        0.




                                                 Proportional harvest                     Proportional harvest                      Proportional harvest
log series
aggregated
log series
aggregated
log relative frequency                                                                                   log relative frequency

                                                                        -3.5            -3.0           -2.5           -2.0           -1.5         -1.0                         -3.5            -3.0              -2.5           -2.0             -1.5




                                                             0
                                                                                                                                                                    0
                                                                                                                                                                    200




                                                             50
                                                                                                                                                                    400




                                                   species
                                                                                                                                                          species




                                                             100
                                                                                                                                                                    600




      0.0000
               0.0500
                        0.1000
                                 0.1500
                                          0.2000
                                                                                                                                                                    800




-10
                                                             150
                                                                                                  log relative frequency                                                                                   log relative frequency

                                                                   -3.5               -3.0           -2.5         -2.0              -1.5          -1.0                                -5              -4                -3               -2                  -1




-8
                                                             0
                                                                                                                                                                    0




                                                             10




-6
                                                                                                                                                                    50




                                                             20




-4
                                                   species
                                                                                                                                                          species




                                                             30
                                                                                                                                                                    100




-2
                                                             40
                                                                                                                                                                    150




0
                                                                                                  log relative frequency                                                                                   log relative frequency

                                                                          -3.5          -3.0         -2.5      -2.0          -1.5          -1.0    -0.5                   -5                  -4                  -3                -2                  -1
                                                             0
                                                                                                                                                                    0




2
                                                             20




4
                                                                                                                                                                    50




                                                             40
                                                             60

                                                   species
                                                                                                                                                          species




6
                                                                                                                                                                    100




                                                             80
                                                             100




8
                                                                                                                                                                    150




                                                             120




                                                                                                  log relative frequency                                                                                   log relative frequency
10




                                                                   -8            -7          -6        -5       -4           -3        -2         -1                                   -3.5            -3.0              -2.5             -2.0                -1.5
                                                             0
                                                                                                                                                                    0




12
                                                             50
                                                                                                                                                                    100




                                                             100
                                                                                                                                                                    200




                                                   species
                                                                                                                                                          species




                                                             150
                                                                                                                                                                    300




                                                             200
                                                                                                                                                                    400
• habitat destruction pattern little influence on SAR
  predictions

• species aggregation also small influence

• species abundance distribution (SAD) large effect

• degree of lag as indicated by MVPp most important
  modifier of SAR predictions

• potential to predict z partially (and extinction risk)
  based on SAD

• matrix sensitivity next step
• Barry W. Brook, The University of Adelaide
• Damien A. Fordham, The University of Adelaide
• Stephen D. Gregory, The University of Adelaide
• Lian Pin Koh, ETH Switzerland
• Xingli Giam, Princeton University
• Nigel E. Stork, Griffith University                         Corey Bradshaw
• Luke Gibson, National University of Singapore               corey.bradshaw@adelaide.edu.au
                                                              ConservationBytes.com
• Cagan Sekerçioglu, University of Utah
• Stephen E. Williams, James Cook University
• Fangliang He, University of Alberta; Sun-yat Sen University

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Corey Bradshaw_Assessing bias in extinction predictions from species-area relationships using simulation experiments

  • 1. Bias in extinction predictions from species-area relationships Corey J. A. Bradshaw The Environment Institute, The University of Adelaide
  • 2. • > 4 million protists • 16600 protozoa • 75000-300000 helminth parasites • 1.5 million fungi • 320000 plants • 4-6 million arthropods • > 6500 amphibians • > 30000 fishes • 10000 birds • > 5000 mammals
  • 3. Loarie et al. 2009 Geophys Res Lett 36:L14810 Bradshaw et al. 2009 Front Ecol Environ 7:79-87 Hansen et al. 2010 PNAS 107:8650-8655 Bradshaw et al. 2009 Trends Ecol Evol 24:541-548
  • 4. Bradshaw 2012 J Plant Ecol 5:109-120
  • 5. N Stork X Giam D Fordham B Brook C Sekerçioglu S Gregory LP Koh C Bradshaw FL He L Gibson C Bradshaw S Gregory N Stork D Fordham S Williams LP Koh X Giam B Brook
  • 6. S = cAz Giam et al. 2011 J Biogeogr 38: 55–68
  • 7. Koh & Ghazoul 2010 Conserv Biol 24: 994–1001 Koh et al. 2010 J Appl Ecol 47: 1063–1070
  • 8. 500 300 500 0 100 300 500 0 100 300 He & Hubbell 2011 Nature 473 368–371 500 0 100 Black(most aggregated): zSAR=0.194 (0.00822) 300 Blue (2nd most aggregated): zSAR=1.791 (0.00657) Green (3rd most aggregated): zSAR=1.548 (0.00530) 0 100 Red (least aggregated): zSAR=1.398 (0.00531) 0 200 400 600 800 1000 Note: The values in parenthesis are std error
  • 9.
  • 10.
  • 11. SIMULATED SPECIES DATA 1.0 1.0 random 1.0 aggregated 0.8 Proportion species extinct 0.8 0.8 0.6 0.6 0.6 0.4 0.4 0.4 0.2 0.2 0.2 0.0 0.0 0.0 1 5 9 1 5 9 1 5 9 0. 0. 0. 0. 0. 0. 0. 0. 0. Proportional harvest Proportional harvest Proportional harvest BARRO COLORADO ISLAND PLANTS 1.0 1.0 random 1.0 aggregated MVPp = 0 MVPp = 0.05 MVPp = 0.20 0.8 Proportion species extinct 0.8 0.8 0.6 0.6 0.6 0.4 0.4 0.4 0.2 0.2 0.2 0.0 0.0 0.0 1 5 9 1 5 9 1 5 9 0. 0. 0. 0. 0. 0. 0. 0. 0. Proportional harvest Proportional harvest Proportional harvest
  • 14.
  • 15. log relative frequency log relative frequency -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -3.5 -3.0 -2.5 -2.0 -1.5 0 0 200 50 400 species species 100 600 0.0000 0.0500 0.1000 0.1500 0.2000 800 -10 150 log relative frequency log relative frequency -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -5 -4 -3 -2 -1 -8 0 0 10 -6 50 20 -4 species species 30 100 -2 40 150 0 log relative frequency log relative frequency -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 -5 -4 -3 -2 -1 0 0 2 20 4 50 40 60 species species 6 100 80 100 8 150 120 log relative frequency log relative frequency 10 -8 -7 -6 -5 -4 -3 -2 -1 -3.5 -3.0 -2.5 -2.0 -1.5 0 0 12 50 100 100 200 species species 150 300 200 400
  • 16. • habitat destruction pattern little influence on SAR predictions • species aggregation also small influence • species abundance distribution (SAD) large effect • degree of lag as indicated by MVPp most important modifier of SAR predictions • potential to predict z partially (and extinction risk) based on SAD • matrix sensitivity next step
  • 17. • Barry W. Brook, The University of Adelaide • Damien A. Fordham, The University of Adelaide • Stephen D. Gregory, The University of Adelaide • Lian Pin Koh, ETH Switzerland • Xingli Giam, Princeton University • Nigel E. Stork, Griffith University Corey Bradshaw • Luke Gibson, National University of Singapore corey.bradshaw@adelaide.edu.au ConservationBytes.com • Cagan Sekerçioglu, University of Utah • Stephen E. Williams, James Cook University • Fangliang He, University of Alberta; Sun-yat Sen University