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A novel method for time-binning
rates of continuous character
evolution on a phylogeny
Graeme T. Lloyd and Matt Friedman
Coming soon…
Fossilworks Intensive Workshop in Analytical
Paleobiology
June-July 2014
University of Macquarie, Sydney
fossilworks.org
Acknowledgements

Chris
Organ

Graham
Slater
Phylogeny in macroevolution
Variable-rate models

Trait

Early Burst

Late Burst

Time
Rate

Continuous rates

Time
Rate

Continuous rates

Time
Continuous rates

Raia et al. 2013
Guts

Harmon et al. 2008
Method
Method
Method
Method
Method

S1

S2

1

S3
Data

Anderson et al. 2013
Data

Anderson et al. 2013
“Equal” time-scaling

Share time with preceding
(non-zero length) branch

Traditional approach first

τ8

τ8

τ7

τ7

τ6

τ6

τ5

τ5

root age

Ruta et al. 2006; Brusatte et al. 2008
Probabilistic time-scaling
τ6
τ5
τ4
τ3

τ2
τ1
τ0

Hedman 2010
Probabilistic time-scaling
τ6
τ5
τ4
τ3

τ2
τ1
τ0

Age (Ma)

τ0
Hedman 2010
“Equal” time-tree
Probabilistic time-tree
Rates
“Equal” timetree
Rates
“Equal”
timetree
Rates
“Equal” timetree
Probablistic timetree
“Equal” rates with error
Probabilistic rates with error
Model complexity

S1

S2
Change in mode

Ornstein-Uhlenbeck

Brownian

Slater 2013
Conclusions
Conclusions
Conclusions
Conclusions

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A novel method for time-binning rates of continuous character evolution on a phylogeny