Table 1.

Reconstruction of trait evolution using a maximum likelihood approach

	State		Models
Trait			1-rate	2-rate	- log-likelihood- 1-rate	- log-likelihood- 2-rate
Sexual system	Dioicous (0)	Monoicous (1)	62.08	98.38, 56.25	53.34	52.28
Spore size	Small (0)	Large (>35 μm) (1)	49.32	118.42, 53.92	50.84	49.30
Antheridium number	1-9 per chamber (0)	More than 10 (1)	7.66	5.83, 13.59	19.17	18.64

Log-likelihoods associated with the reconstruction of trait evolution for two competing explicit evolutionary models (see text for details) in hornworts. The two models (a single rate vs. a 2-rate model) were not significant different using a likelihood ratio test. The 2-rate values are given for a forward transition from state 0 to 1, followed by the backward rate (1 to 0).