The Evolutionary Seesaw: Origins of Biodiversity? Carl Boettiger UC Davis August 26, 2009 Carl Boettiger, UC Davis The Evolutionary Seesaw 1/22
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The Evolutionary Seesaw:Origins of Biodiversity?
Carl Boettiger
UC Davis
August 26, 2009
Carl Boettiger, UC Davis The Evolutionary Seesaw 1/22
[ speciation ]
Carl Boettiger, UC Davis The Evolutionary Seesaw 2/22
[ biodiversity ]
Carl Boettiger, UC Davis The Evolutionary Seesaw 3/22
[ insects ]
Carl Boettiger, UC Davis The Evolutionary Seesaw 4/22
Carl Boettiger, UC Davis The Evolutionary Seesaw 5/22
Carl Boettiger, UC Davis The Evolutionary Seesaw 6/22
Carl Boettiger, UC Davis The Evolutionary Seesaw 7/22
The Evolutionary Seesaw
Carl Boettiger, UC Davis The Evolutionary Seesaw 8/22
-2 -1 0 1 2
0.0
0.2
0.4
0.6
0.8
1.0
x
exp(-
x^2)
seed size
frequency
Carl Boettiger, UC Davis The Evolutionary Seesaw 9/22
Carl Boettiger, UC Davis The Evolutionary Seesaw 10/22
Carl Boettiger, UC Davis The Evolutionary Seesaw 11/22
Carl Boettiger, UC Davis The Evolutionary Seesaw 12/22
Carl Boettiger, UC Davis The Evolutionary Seesaw 13/22
Carl Boettiger, UC Davis The Evolutionary Seesaw 14/22
Carl Boettiger, UC Davis The Evolutionary Seesaw 15/22
-2 -1 0 1 2
0.0
0.2
0.4
0.6
0.8
1.0
x
exp(-
x^2)
seed size
frequency
preference
Carl Boettiger, UC Davis The Evolutionary Seesaw 16/22
Pairwise Invasibility Plot
-1.0 -0.5 0.0 0.5 1.0
-1.0
-0.5
0.0
0.5
1.0
x
1 *
x
-1.0 -0.5 0.0 0.5 1.0
-1.0
-0.5
0.0
0.5
1.0
my position
his
posi
tion
Carl Boettiger, UC Davis The Evolutionary Seesaw 17/22
Adding coexistence times
-1.0 -0.5 0.0 0.5 1.0
x
-1.0 -0.5 0.0 0.5 1.0-0.1 0.0 0.1 0.2
-0.1
0.0
0.1
0.2
my position
-1.0
-0.5
0.0
0.5
1.0
1 *
x
-1.0
-0.5
0.0
0.5
1.0
his
posi
tion
Carl Boettiger, UC Davis The Evolutionary Seesaw 18/22
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
Thanks!
Ulf Dieckmann
Rupert Mazzucco
EEP Team
IIASA
NAS
UCD
CSGF, DoE
Carl Boettiger, UC Davis The Evolutionary Seesaw 20/22
Calculating coexistence times
T (x) = 2
Z x
a
dyR by
exp
„R za dx
»2A(x)B(x)
–«B(z)
dz
exp“R y
a dxh
2A(x)B(x)
i” (1)
All A
"Energ
y"
All BCarl Boettiger, UC Davis The Evolutionary Seesaw 21/22
Adding numerical data
-0.15 -0.10 -0.05 0.00 0.05 0.10 0.15
-0.2
-0.1
0.0
0.1
x trait
y tr
ait
Carl Boettiger, UC Davis The Evolutionary Seesaw 22/22
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