Explicit formulae for the Extrinsic incubation period
The EIP of each parasite, in the Briere parametrization, requires three
parameters to be specified. The distributions of these parameters must
be obtained using prior knowledge and the available data, together with
statistical methods. We obtained parameter values describing the EIP
using the Bayesian methods described above, for P. relictum,
Haemoproteus and Leucocytozoon. The parameter values obtained
together with the appropriate confidence interval are shown in Table
1. We display our results in Figure. 3, together with those
derived earlier for P. falciparum and P. vivax by Catoret al . (2013).
For P. falciparum and P. vivax, we rederived the forms
obtained by Cator et al . (2013) through these Bayesian methods.
The work of Cator et al . (2013) used an alternative method
involving simple curve-fitting using SPSS (IBM SPSS v20). We find exact
consistency with these earlier results, demonstrating the validity of
our numerical methods. Our results extrapolate from the limited data
available, together with non-informative estimates of the relevant
priors, to obtain what appear to be reasonable fits to the data,
together with uncertainty bounds.