Table 1 Bayes factors (BF) tests to distinguish different modes of diversification.

Simulation settings     Bayes Factors (TDI)
no. of tips (ρ) λ μ BD PB PB2 PB3 PB4
50 0.5 0.05 0 -0.71 0.17
100 0.5 0.05 0 -2.40 -1.77
50 0.5 0.25 0 2.59 1.51
100 0.5 0.25 0 3.66 -0.21
50 0.5 0.45 0 24.98 3.57
100 0.5 0.45 0 36.68 5.06
50 0.5 0 1.05 0 1.18
100 0.5 0 2.92 0 0.69
100 (25%) 1 0 2.21 0
200 (50%) 1 0 4.10 0
300 (75%) 1 0 5.33 0
400 1 0 6.37 0
100 (25%) 1 0.9 0 36.65
200 (50%) 1 0.9 0 68.30
300 (75%) 1 0.9 0 98.18
400 1 0.9 0 131.57
50 0.1, 0.2 0 -0.59 1.74 0 1.76
100 0.1, 0.2 0 0.44 6.78 0 0.88
50 0.05, 0.25 0 4.64 23.73 0 1.22
100 0.05, 0.25 0 5.79   0 0.73
50 0.02, 0.16 0 13.94 40.60 0 0.69
100 0.02, 0.16 0 29.53 90.60 0 0.93
50 0.2, 0.1 0 4.02 0.54 0 1.47
100 0.2, 0.1 0 11.57 5.57 0 1.53
50 0.5, 0.1 0 23.22 18.52 0 1.49
100 0.5, 0.1 0 58.15 51.49 0 0.81
50 0.16, 0.02 0 23.92 19.51 0 0.85
100 0.16, 0.02 0 56.32 49.53 0 0.60
50 0.1, 0.2, 0.1 0 -0.55 -2.26 -1.28 0 2.04
100 0.1, 0.2, 0.1 0 4.81 0.35 0.69 0 1.52
50 0.1, 0.5, 0.1 0 12.93 12.56 8.26 0 0.67
100 0.1, 0.5, 0.1 0 45.38 40.22 21.47 0 -0.10
50 0.02, 0.16, 0.02 0 22.34 21.49 18.18 0 -1.11
100 0.02, 0.16, 0.02 0 63.95 64.01 54.67 0 -1.31
1. Bayes factors are calculated under birth-death (BD), pure-birth (PB), and pure-birth with rate shifts (PB2-PB4) based on thermodynamic integration. The BF values are calculated between the model applied in the simulation and the alternative models: Positive values support the true model.