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Time-binning rates of continuous character
evolution on a phylogeny: the origin of
amniotes, not tetrapods, is characterised by
increased rates
@GraemeTLloyd
Graeme T. Lloyd
@Friedman_Lab
Matt Friedman
Acknowledgements
Chris Organ Graham Slater
Questions
Questions
1. How can we measure rates of evolution in a
continuous character over multiple time bins?
Questions
2. How did the tempo of tetrapod mandible
evolution change over their early evolution?
1. How can we measure rates of evolution in a
continuous character over multiple time bins?
Questions
2. How did the tempo of tetrapod mandible
evolution change over their early evolution?
3. How does phylogenetic time-scale
choice affect patterns of tempo?
1. How can we measure rates of evolution in a
continuous character over multiple time bins?
How fast?
Rate categories
Cloutier 1991; Lloyd et al. 2012; Lloyd submitted
Rate categories
Cloutier 1991; Lloyd et al. 2012; Lloyd submitted
Rate categories
Cloutier 1991; Lloyd et al. 2012; Lloyd submitted
Rate categories
Cloutier 1991; Lloyd et al. 2012; Lloyd submitted
Rate categories
Cloutier 1991; Lloyd et al. 2012; Lloyd submitted
Rate categories
Cloutier 1991; Lloyd et al. 2012; Lloyd submitted
Rate data types
Simpson 1944,1953; Westoll 1949
Rate data types
Simpson 1944,1953; Westoll 1949
Rate data types
Simpson 1944,1953; Westoll 1949
Rate data types
Simpson 1944,1953; Westoll 1949
Discrete data: disparity and tempo
Davis et al. 2012; Lloyd et al. 2012; Lloyd submitted
Discrete data: disparity and tempo
Davis et al. 2012; Lloyd et al. 2012; Lloyd submitted
Discrete data: disparity and tempo
Claddis
Davis et al. 2012; Lloyd et al. 2012; Lloyd submitted
Continuous data: mode dominates
Continuous data: mode dominates
Trait
value
Time
Early Burst
Late Burst
Trait
Time
Continuous data: mode dominates
Rate
Time
Continuous rates
Rate
Time
Continuous rates
Raia et al. 2013
Continuous rates
Harmon et al. 2008
New method: guts
New method: description
New method: description
New method: description
New method: description
S1 S2 S31
New method: description
Anderson et al. 2013
Data
Anderson et al. 2013
Data
Time-scaling trees
Lee et al 2014
Time-scaling trees: simultaneous
Time-scaling trees: a posteriori
paleotree
strap
Time-scaling trees: a posteriori
+
paleotree
strap
Time-scaling trees: a posteriori
+ =
paleotree
strap
Time-scaling trees: a posteriori
Arbitrary
Branch-sharing
Ruta et al 2006; Brusatte et al 2008
Arbitrary addition(s)
Derstler 1982
Minimum branch-length
Laurin 2004
Time-scaling trees: a posteriori
cal3
Bapst 2013
Hedman method
Lloyd and Friedman in prep
Nowak
Nowak et al 2013
Arbitrary Probabilistic
Branch-sharing
Ruta et al 2006; Brusatte et al 2008
Arbitrary addition(s)
Derstler 1982
Minimum branch-length
Laurin 2004
Time-scaling trees: a posteriori
Hedman method
Lloyd and Friedman in prep
Arbitrary Probabilistic
Branch-sharing
Ruta et al 2006; Brusatte et al 2008
τ7
τ8
τ6
τ5
Traditional approach first
Ruta et al. 2006; Brusatte et al. 2008
Branch-sharing (“equal”)
τ7
τ8
τ6
τ5
root age
τ7
τ6
τ5
Traditional approach first
Share time with preceding
(non-zero length) branch
Ruta et al. 2006; Brusatte et al. 2008
τ8
Branch-sharing (“equal”)
τ6
τ5
τ4
τ2
τ1
τ3
Hedman 2010; Lloyd and Friedman in prep
τ0
Probabilistic time-scaling
τ0
τ6
τ5
τ4
τ2
τ1
τ3
Age (Ma)
τ0
Probabilistic time-scaling
Hedman 2010; Lloyd and Friedman in prep
“Equal” time-tree
Probabilistic time-tree
“Equal”
timetree
Results
“Equal”
timetree
Results
“Equal” timetree
Probablistic timetree
Results
Results with error
Results with error
S1 S2
Two-tempo evolution
Slater 2013
BrownianOrnstein-Uhlenbeck
Two-mode evolution
Conclusions
Conclusions
Conclusions
Conclusions
Conclusions

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Time-binning rates of continuous character evolution on a phylogeny: the origin of amniotes, not tetrapods, is characterised by increased rates