Table 1.

Model comparison for independent and dependent diet diversification, including models with hidden traits or with equal rates of transition

Model type	Hidden trait (A/B)	Equal transition rates (Q)	Speciation rates (λi)	Extinction rates (μi)	Transition rates (Qi)	Sum of params	LogLik	AICc
Diet independent speciation and extinction rates	No	Yes	1	1	1	3	− 675.3	1356.7
	No	No	1	1	6	8	− 659.5	1335.9
	Yes	Yes	1	1	1	3	− 701.2	1408.6
	Yes	No	1	1	18	20	− 701.2	1447.6
Diet-dependent speciation and independent extinction rate	No	Yes	3	1	1	5	− 675.1	1360.5
	No	No	3	1	6	10	− 655.5	1332.2
	Yes	Yes	6	1	1	8	− 857.8	1732.4
	Yes	No	6	1	18	25	− 788.0	1634.2
Independent speciation and diet-dependent extinction rates	No	Yes	1	3	1	5	− 670.5	1351.2
	No	No	1	3	6	10	− 656.8	1335.0
	Yes	Yes	1	6	1	8	− 794.2	1598.7
	Yes	No	1	6	18	25	− 795.2	1648.5
Diet-dependent speciation and extinction rates	No	Yes	3	3	1	7	− 663.9	1342.5
	No	No	3	3	6	12	− 659.5	1344.8
	Yes	Yes	6	6	1	13	− 839.1	1706.4
	Yes	No	6	6	18	30	− 805.6	1683.4

Values in bold indicate the best model

Number of inferred rates for speciation (λ), extinction (μ) and transition (Q) are specified in each case, and LogLik and AICc values are shown