Before revision:  We show using Markov chain Monte Carlo methods that within a simulation estimation framework, a model fitted to sequential infection data accurately captures the timing and extent of cross-protection , and attributes such cross-protection to the correct broad immune components . In addition, sequential infection data enables recovery of the timing and role of each immune component in controlling a primary infection .
After revision:  We show using Markov chain Monte Carlo methods that within a simulation estimation framework, a model fitted to sequential infection data accurately captures the timing and extent of cross-protection , and attributes such cross-protection to the correct broad immune components responsible for such cross-protection can be determined. Such data can also be used to infer the timing and role of each immune component in controlling a primary infection .