An R Package for Nonparametric Inference on Dynamic Populations with Infinitely Many Types

• DOI: 10.1089/cmb.2024.0600
• Publication Date: 2024-10-22T09:00:03Z
• Authors: Filippo Ascolani; Stefano Damato; Matteo Ruggiero
• Keywords: R package

Fleming–Viot diffusions are widely used stochastic models for population dynamics that extend the celebrated Wright–Fisher diffusions. They describe temporal evolution of relative frequencies allelic types in an ideally infinite panmictic population, whose individuals undergo random genetic drift and at birth can mutate to a new type drawn from possibly potential pool, independently their parent. Recently, Bayesian nonparametric inference has been considered this model when finite sample is several discrete time points. Previous works have fully described relevant estimators problem, but current software available only finite-dimensional case. Here, we provide general case, overcoming some nontrivial computational challenges posed by setting. The R package FVDDPpkg efficiently approximates filtering smoothing distribution diffusions, given samples collected different times. A suitable Monte Carlo approximation also introduced order reduce cost.