A computationally tractable birth-death model that combines phylogenetic and epidemiological data
Fig 3
Log-likelihood evaluation time comparison.
The time required to evaluate our approximation, TimTam, scales better with the dataset size than the existing ODE approximation. The scatter plots indicates the average number of seconds required to evaluate the log-likelihood function for each dataset size. The left panel contains the results using our approximation, which has times growing approximately linearly with the dataset size. The right panel contains the results using the ODE approximation, which has times growing approximately quadratically with the dataset size. Solid lines show least squares fits. Note that the y-axes are on different scales. The overall scaling factor (but not the exponent of the fitted model) may be implementation dependent.