“…These lichenforming fungi (also referred to as mycobionts) are typically highly specialized on one or very few cyanobacterial phylogroup partners (also referred to as cyanobionts) that commonly associate with multiple Peltigera species (asymmetric specificity). The evolution of specialization has fuelled a large body of literature in ecology and evolution (Fisher, 1930;Levins, 1968;MacArthur, 1955;May, 1974) and one question that might be asked when looking at current patterns of specialization is whether selection towards such patterns was directional or stabilizing: in other words, is there a directional evolution towards specialization (Jaenike, 1990) or generalization (Waser, Chittka, Price, Williams, & Ollerton, 1996) or a combination of both, that is, specialization of Peltigera and generalization of Nostoc, which could be advantageous especially when symbionts are transmitted mostly horizontally (Chagnon et al, 2018;Lu et al, 2018;Lutzoni & Miadlikowska, 2009;Magain, Miadlikowska, Goffinet, Sérusiaux, & Lutzoni, 2017a)? Alternatively, has the specialization level of a guild been stable for a long time due to selection against higher, or lower, levels of specialization (i.e., stabilizing selection)?…”