Table 4. Branch transducer (conditionally-normalized Pair SCFG) of the TKF Structure Tree model.
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The state types for this model are shown in Table 3. The branch transducer evolves a sequence and structure along a branch of the phylogenetic tree. States 
and 
are the 
states for a sub-model corresponding to an insertion of a new stem in the descendant sequences; the sub-model (not shown) is identical in structure to the singlet transducer shown in Table 2. 
and 
are the equilibrium distributions of, respectively, descendant unpaired nucleotide 
and descendant paired nucleotides 
; 
and 
are the conditional distributions (i.e., match probabilities) of a descendant unpaired nucleotide 
given an ancestral unpaired nucleotide 
and descendant paired nucleotides 
given ancestral nucleotides 
. The functions 
, 
and 
are parametrized by the insertion and deletion rates of the TKFST model and are defined in “A simple model of RNA structural evolution”.