Final presentation of my summer work at IIASA

1. The Evolutionary Seesaw:
Origins of Biodiversity?
Carl Boettiger
UC Davis
August 26, 2009
Carl Boettiger, UC Davis The Evolutionary Seesaw 1/22

2. [ speciation ]
Carl Boettiger, UC Davis The Evolutionary Seesaw 2/22

3. [ biodiversity ]
Carl Boettiger, UC Davis The Evolutionary Seesaw 3/22

4. [ insects ]
Carl Boettiger, UC Davis The Evolutionary Seesaw 4/22

5. Carl Boettiger, UC Davis The Evolutionary Seesaw 5/22

6. Carl Boettiger, UC Davis The Evolutionary Seesaw 6/22

7. Carl Boettiger, UC Davis The Evolutionary Seesaw 7/22

8. The Evolutionary Seesaw
Carl Boettiger, UC Davis The Evolutionary Seesaw 8/22

9. 1.0
0.8
0.6
exp(-x^2)
frequency 0.4
0.2
0.0
-2 seed size
-1 0 1 2
Carl Boettiger, UC Davis The Evolutionary Seesaw 9/22

10. Carl Boettiger, UC Davis The Evolutionary Seesaw 10/22

11. Carl Boettiger, UC Davis The Evolutionary Seesaw 11/22

12. Carl Boettiger, UC Davis The Evolutionary Seesaw 12/22

13. Carl Boettiger, UC Davis The Evolutionary Seesaw 13/22

14. Carl Boettiger, UC Davis The Evolutionary Seesaw 14/22

15. Carl Boettiger, UC Davis The Evolutionary Seesaw 15/22

16. preference
1.0
0.8
0.6
exp(-x^2)
frequency 0.4
0.2
0.0
-2 seed size
-1 0 1 2
Carl Boettiger, UC Davis The Evolutionary Seesaw 16/22

17. Pairwise Invasibility Plot
1.0
his position
0.5
1 * x
0.0
-0.5
-1.0
my position
-1.0 -0.5 0.0 0.5 1.0
x
Carl Boettiger, UC Davis The Evolutionary Seesaw 17/22

18. Adding coexistence times
0.2
1.0
his position
0.5
0.1
1 * x
0.0
0.0
-0.5
-0.1
-1.0
my position
-0.1 0.0 0.1 0.2
-1.0 -0.5 0.0 0.5 1.0
x
Carl Boettiger, UC Davis The Evolutionary Seesaw 18/22

19. Puzzles of biodiversity, or, why so many beetles?
Understanding the control nobs of biodiversity
Population size
Mutation rate
Competition strength
Carl Boettiger, UC Davis The Evolutionary Seesaw 19/22

20. Thanks!
IIASA
Ulf Dieckmann
NAS
Rupert Mazzucco
UCD
EEP Team
CSGF, DoE
Carl Boettiger, UC Davis The Evolutionary Seesaw 20/22

21. Calculating coexistence times
„ » –«
z R 2A(x)
R exp a dx B(x)
Z x dy b dz
y B(z)
T (x) = 2 “R h i” (1)
a y 2A(x)
exp a dx B(x)
"Energy"
All A All B
Carl Boettiger, UC Davis The Evolutionary Seesaw 21/22

22. Adding numerical data
0.1
y trait
0.0
-0.1
-0.2
-0.15 -0.10 -0.05 0.00 0.05 0.10 0.15
x trait
Carl Boettiger, UC Davis The Evolutionary Seesaw 22/22