“…In Frost et al (2015), the authors stated the following challenges: (1) modeling of more complex evolutionary processes such as recombination, selection, within-host evolution, population structure, and stochastic population dynamics; (2) modeling of more complex sampling scenarios, (3) joint modeling of phenotypic and genetic data, and (4) computation. We have subsequently seen advances in solving some of these challenges, such as modeling of recombination (Müller, Kistler and Bedford, 2021) and stochastic population dynamics Volz and Siveroni, 2018), incorporation of more complex sampling scenarios (Karcher et al, 2016(Karcher et al, , 2020Parag, du Plessis and Pybus, 2020;Cappello and Palacios, 2021), and joint modeling of epidemiological and genetic data (Li, Grassly and Fraser, 2017;Tang et al, 2019;Zarebski et al, 2021;Featherstone et al, 2021). However, even in the simplest evolutionary model, inference involves integration over the high dimensional space of phylogenies.…”