“…The divergence history of the host has already been inferred (Martin et al, 2016(Martin et al, , 2017Van Rossum et al, 2018). To increase our power to distinguish between different evolutionary scenarios, we performed model choice and parameter estimation by comparing scenarios or groups of scenarios in sequential rounds, each round testing a particular type of evolutionary event, either divergence time, order of divergence or presence of gene flow (Estoup, Raynal, Verdu, & Marin, 2018;Liu et al, 2019) (Table 1; Table S5). We built scenarios based on the genetic clusters obtained using microsatellite markers and on previous analyses of divergence of anther-smut fungi and their host species (Badouin et al, 2017;Gladieux et al, 2013;Martin et al, 2016Martin et al, , 2017Van Rossum et al, 2018).…”