Table S1. Models of diversification used in this study with descriptions of parameters.
Speciation
Extinction
Reference
Morlon Coalescent Model 1
Constant, saturated diversity
Constant
Moran 1951; Hey 1992; Nee 2001;
Morlon et al. 2010
Morlon Coalescent Model 2
Variable, saturated diversity
Varianble
Rabosky 2009, Morlon et al. 2010
Morlon Coalescent Model 3
Constant
Constant
Morlon et al. 2010
Morlon Coalescent Model 4a
Variable (decreasing)
Constant
Morlon et al. 2010
Morlon Coalescent Model 4b
Constant
Variable (increasing)
Morlon et al. 2010
Morlon Coalescent Model 4c
Variable (decreasing)
Variable (decreasing)
Morlon et al. 2010
Morlon Coalescent Model 4d
Variable (decreasing)
Variable (increasing)
Morlon et al. 2010
Morlon Coalescent Model 5
Constant
NA
Morlon et al. 2010
Morlon Coalescent Model 6
Variable (decreasing)
NA
Morlon et al. 2010
Yule
Constant
NA
Yule 1924
Yule-incomplete sampling
Constant with incomplete sampling
NA
Nee et al. 1994
Birth Death
Constant speciation
Constant
Kendall 1948
Birth Death-incomplete sampling
Constant speciation with incomplete
sampling
Constant
Nee et al. 1994
Yule 2
Variable (changes at fixed times)
NA
Barraclough and Vogler 2002, Raboskty
2006
Monotonic Decay
Variable (decreases monotonically)
NA
Rabosky and Lovette 2008a
Hyperbolic Decay
Variable (hyperbolic decay of high
initial speciation rate)
Constant
Strathmann and Slatkin 1983
Diversity Dependent Linear
Variable (changes linearly given
carrying capacity)
NA
Nee et al. 1992; Nee and Harvey 1994;
Rabosky and Lovette 2008a
Diversity Dependent Exponential
Variable (changes exponentially given
carrying capacity)
NA
Nee et al. 1992; Nee and Harvey 1994;
Rabosky and Lovette 2008a
Variable Speciation
Variable
Constant
Nee et al. 1994; Rabosky and Lovette
2008b
Variable Extinction
Constant
Variable
Nee et al. 1994; Rabosky and Lovette
2008b
Variable Speciation and Extinction
Variable
Variable
Nee et al. 1994; Rabosky and Lovette
2008b
Diversity Dependence with missing data and
extinction
Variable (changes given K)
Variable
Etienne et al. 2011
Model
Coalescent Models
Standard Likelihood Models
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Hey, J. 1992. Using Phylogenetic Trees to Study Speciation and Extinction. Evolution 46:627-640.
Kendall, DG. 1948. On the Generalized "Birth-and-Death" Process. The Annals of Mathematical
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Moran, PAP. 1951. Estimation Methods for Evolutive Processes. Journal of the Royal Statistical
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Nee, S, RM May, PH Harvey. 1994. The Reconstructed Evolutionary Process. Philosophical
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Nee, S, AO Mooers, PH Harvey. 1992. Tempo and Mode of Evolution Revealed from Molecular
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