Relationship between SIR model and genetic data
- The SIR model + sampling process generates an epidemic trajectory $C$
including sampling events.
- The generates a sampled transmission tree $T$.
- Influenza genes evolve down this tree to produce an alignment $A$.
\[ P(T,C|A) \propto P(A|T) P(T|C) P(C|\theta) P(\theta) \]
How do we sample the $(T,C)$ state space?