Precision of the four criteria corresponding to 24 simulated models. Categories along the x-axis represent the 24 simulated models. For the sake of clarity, only seven models are labelled, and each one is followed by three similar ones (e.g., JC is followed by JC + I, JC + Γ, and JC + I + Γ). The y-axis represents the means and standard deviations of precision values for each simulated model across the 14 simulations, which are different statistical results from those in Additional file 2. The markers denote the means, while lengths of error bars denote the standard deviation values.