Dear R-sig-phylo list,


I am fitting hidden-rate discrete trait models using corHMM (v2.8) across a 
posterior tree sample (200 trees of the same set of species), and I would 
appreciate guidance on how to interpret frequent boundary-hitting ML estimates.



In particular, I observe two patterns:

Lower-bound hits (rates �� 0):
Some transition rates repeatedly hit the lower bound across many trees. In a 
hidden-state setting, this can effectively shut off transitions or simplify the 
state graph. Is it reasonable to treat such fits as degenerate or unreliable 
for process-level interpretation, and to exclude models that frequently exhibit 
this behavior?

Upper-bound hits (rates �� large):
Other rates��primarily within the fast regime��often hit the upper bound. 
Increasing the bound (e.g. 20 �� 30 �� 100) typically causes the same or 
another within-regime rate to peg the new limit, while regime decoding and 
downstream summaries remain stable. Is it reasonable to interpret this as weak 
estimability of rate magnitude (i.e. ��very fast�� but not precisely 
estimable), and to focus inference on derived quantities rather than the rate 
values themselves?

More generally, is boundary behavior across tree uncertainty a reasonable 
criterion for model reliability, alongside likelihood or AIC, when choosing 
among hidden-state models?

Any advice or relevant references would be greatly appreciated. I am happy to 
provide a minimal example if useful.

Best regards,

Emma
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