Penalised complexity priors for the reconstruction of past population size from phylogenies

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2021-12

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Carvalho, Luiz Max Fagundes de

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This work seeks to understand the influence of prior distributions on inferences about population dynamics obtained from phylogenies. More specifically, considering the posterior results obtained from the Skyride model (Minin et al., 2008). The Skyride model assumes that the effective population size has a smooth trajectory and assigns a Gaussian Markov Random Fields (GMRF) prior to the logarithm of the effective population size. This model has an unknown precision parameter τ , associated with the smoothness of the curve. We propose an analysis investigating the choice of the prior for the τ parameter. In particular, we study the penalised complexity priors in comparison with the default choice of the Gamma distribution. A review of the literature was conducted, considering previous studies on the estimation of effective population size using phylogenies. Then, we conducted simulation studies to estimate the effective population size from phylogenetic trees. We run the experiments for phylogenies generated with the phylodyn package. We looked at populations with constant, exponential, cyclic, and bottleneck effect trajectories, and then performed experiments analyzing a real dataset of influenza A/H3N2. Finally, through the performance evaluation metrics, it was possible to show that a PC prior leads to more accurate results, regardless of the number of leaves in the phylogenetic tree.

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