Table S2.
Model | θ | ηD* (0.001–1.0) | ηG* (1–100) | T* (0.01–5.0) | Log likelihood | AIC |
Static | 396.183 | — | — | — | −27.336 | 54.67 |
NegG | 396.188 | 0.999 | — | 0.308 | −27.337 | 58.67 |
PosG-Epoch | 297.831 | — | 1.515 | 1.262 | −24.747 | 53.49 |
PosG-Exp | 240.479 | — | 1.943 | 4.998 | −24.736 | 53.47 |
BG | 272.881 | 0.999 | 1.714 | 3.457 | −24.737 | 55.47 |
Log-likelihoods and AIC were determined for the following five models as seen in Fig. 4: constant population size (Static), population decline (NegG), two-epoch increase (PosG-Epoch), exponential increase (PosG-Exp), and bottleneck with subsequent exponential growth (BG). Models were fit to the P. falciparum central (i.e., ancestral) population, because it comprises a single population for comparison with P. vivax scenarios. Output variables determined included (i) θ, the ancestral mutation rate which is a proxy for the Neff; (ii) ηD, the factor of population contraction; (iii) ηG, the factor of population expansion; and (iv) T, the time in the past of change in population. Best-fit (i.e., lowest AIC) parameter sets were selected from 100 model-fit replicates. AIC aids in scenario selection by penalizing highly parameterized models while seeking to minimize information loss. The extent of information loss between the best-fit and other models is described by , where AICmin is AIC for the best-fit model (i.e., lowest AIC), and AICi represents AIC for the ith model.
Ranges explored for optimization are provided for optimizable parameters.