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Long-term disequilibrium and short-term 
equilibrium dynamics in West Indian biogeography 
Liliana M. Dávalos 
Ecology and Evolution, SUNY at Stony Brook 
Amy L. Russell 
Biology, Grand Valley State University
Equilibrium 
vs. 
disequilibrium 
M&W 
1963 
Evolu.on 
Cracra2 
1983 
Syst. 
Biol.
Dynamic 
equilibrium 
ETIB 
Preston 
1962 
Ecology
Disequilibrium 
Iturralde 
Vinent 
& 
MacPhee 
1999 
Bull. 
Amer. 
Mus. 
Nat 
Hist.
How 
to 
test 
disequilibrium? 
• ETIB 
lineage 
accumulaKon 
as 
a 
funcKon 
of 
Kme 
– FiNed 
line 
• Species 
= 
f(S 
arriving 
+ 
speciaKon 
– 
exKncKon) 
• Lineages 
= 
f(S 
arriving) 
Ricklefs 
& 
Bermingham 
2001 
Science
Equilibrium 
and 
disequilibrium 
in 
colonizaKon 
cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again.
Dumont, 
Dávalos 
2012 
PRS-­‐B 
Also: 
Stadelmann 
et 
al. 
2007 
Dávalos 
2010
Very 
long-­‐term 
disequilibrium 
10 
8 
6 
4 
2 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
10 20 30 40 50 
Time in millions of years 
Number of lineages 
Natalidae colonization event 
Colonization rates 
Single rate model 
Two-rate slow 
Two-rate fast
Changes 
more 
recently 
Dávalos 
& 
Turvey 
2012 
Bones, 
Clones 
& 
Biomes
Buckets 
of 
Caribbean 
fossils
Why 
they 
went 
exKnct 
• CompeKKon 
by 
other 
invasive 
bats 
– 
Koopman 
& 
Williams 
1951 
• Cave 
flooding 
– 
Morgan 
2001 
• Interglacial 
floods 
– 
McFarlane 
& 
Lundberg 
2004 
• Anthropogenic 
habitat 
destrucKon 
– 
Gannon 
et 
al. 
2005
Can 
area 
change 
explain 
species 
loss? 
Dávalos 
& 
Russell 
2012 
Ecology 
& 
Evolu.on
Change 
in 
area 
explains 
most 
change 
in 
species 
richness 
R2 
= 
0.83 
R2 
= 
0.85 
Log of present/LGM area in the Greater Antilles 
 
í 
í 
í 
í 
í 
í 
! 
! 
! 
! 
! 
! 
! 
! 
! ! 
! 
! ! 
! 
! 
! 
! 
! 
! 
! 
í í í í í í í 
 ! ! 
! ! 
! 
! 
Log of present/LGM area in the Bahamas 
Log of present/LGM species 
í 
í 
í 
í 
í 
í 
! 
! 
! 
! 
! 
! 
! ! ! 
! 
! 
! 
! 
! 
! !! 
í í í í
Room 
for 
addiKonal 
work 
! ! 
Observed species richness Greater Antilles 
16 
6.3 
2.5 
1 
1 1.6 2.5 4.0 6.3 10 16 25 
25 
10 
4.0 
1.6 
Perfect 
prediction 
Figure 4 
Observed species richness Bahamas 
Predicted richness 
4.0 
2.5 
1.6 
1 
1 1.6 2.5 4.0 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! ! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! ! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! 
! ! 
! 
! 
6.4
How 
to 
answer 
the 
right 
quesKon 
• Equilibrium 
null 
model 
• StaKsKcal 
framework 
for 
tesKng 
long-­‐term 
paNerns 
– Requires 
mulKple 
colonizaKon/exKncKon 
events 
– Floor 
on 
biodiversity 
required 
to 
apply 
widely 
– ExKncKon? 
Drawing 
by 
A. 
Tejedor

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Long-term disequilibrium and short-term equilibrium dynamics in West Indian biogeography

  • 1. Long-term disequilibrium and short-term equilibrium dynamics in West Indian biogeography Liliana M. Dávalos Ecology and Evolution, SUNY at Stony Brook Amy L. Russell Biology, Grand Valley State University
  • 2. Equilibrium vs. disequilibrium M&W 1963 Evolu.on Cracra2 1983 Syst. Biol.
  • 3. Dynamic equilibrium ETIB Preston 1962 Ecology
  • 4. Disequilibrium Iturralde Vinent & MacPhee 1999 Bull. Amer. Mus. Nat Hist.
  • 5. How to test disequilibrium? • ETIB lineage accumulaKon as a funcKon of Kme – FiNed line • Species = f(S arriving + speciaKon – exKncKon) • Lineages = f(S arriving) Ricklefs & Bermingham 2001 Science
  • 6. Equilibrium and disequilibrium in colonizaKon cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again.
  • 7. Dumont, Dávalos 2012 PRS-­‐B Also: Stadelmann et al. 2007 Dávalos 2010
  • 8. Very long-­‐term disequilibrium 10 8 6 4 2 ! ! ! ! ! ! ! ! ! ! ! 10 20 30 40 50 Time in millions of years Number of lineages Natalidae colonization event Colonization rates Single rate model Two-rate slow Two-rate fast
  • 9. Changes more recently Dávalos & Turvey 2012 Bones, Clones & Biomes
  • 11. Why they went exKnct • CompeKKon by other invasive bats – Koopman & Williams 1951 • Cave flooding – Morgan 2001 • Interglacial floods – McFarlane & Lundberg 2004 • Anthropogenic habitat destrucKon – Gannon et al. 2005
  • 12. Can area change explain species loss? Dávalos & Russell 2012 Ecology & Evolu.on
  • 13. Change in area explains most change in species richness R2 = 0.83 R2 = 0.85 Log of present/LGM area in the Greater Antilles í í í í í í ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! í í í í í í í ! ! ! ! ! ! Log of present/LGM area in the Bahamas Log of present/LGM species í í í í í í ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! í í í í
  • 14. Room for addiKonal work ! ! Observed species richness Greater Antilles 16 6.3 2.5 1 1 1.6 2.5 4.0 6.3 10 16 25 25 10 4.0 1.6 Perfect prediction Figure 4 Observed species richness Bahamas Predicted richness 4.0 2.5 1.6 1 1 1.6 2.5 4.0 ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! 6.4
  • 15. How to answer the right quesKon • Equilibrium null model • StaKsKcal framework for tesKng long-­‐term paNerns – Requires mulKple colonizaKon/exKncKon events – Floor on biodiversity required to apply widely – ExKncKon? Drawing by A. Tejedor