Later lichenologists, such as Wallroth[410], looked on the podetia as advanced stages of the thallus, or as forming a supplementary thallus. Tulasne[411] described them as branching upright processes from the horizontal form, and Koerber[412] considered them as the true thallus, the primary squamule being merely a protothallus. By them and by succeeding students of lichens the twofold character of the thallus was accepted until Wainio and Krabbe by their more exact researches discovered the endogenous origin of the podetium, which they considered was conclusive evidence of its apothecial character: they claimed that the primordium of the podetium was homologous with the primordium of the apothecium. Reinke[413] and Wainio are in accord with Krabbe as to the probable morphological significance of the podetium, but they both insist on its modified thalline character. Wainio sums up that: “the podetium is an apothecial stalk, that is to say an elongation of the conceptacle most frequently transformed by metamorphosis to a vertical thallus, though visibly retaining its stalk character.” Sättler[414], one of the most recent students of _Cladonia_, regards the podetium as evolved with reference to spore-dissemination, and therefore of apothecial character. His views are described and discussed in the chapter on phylogeny. Reinke and others sought for a solution of the problem in _Baeomyces_, one of the more primitive genera of the Cladoniaceae. The thallus, except in a few mostly exotic species, scarcely advances beyond the crustaceous condition; the podetia are short and so varied in character that species have been assigned by systematists to several different genera. In one of them, _Baeomyces roseus_, the podetium or stalk originates according to Nienburg[415] deep down in the medulla of a fertile granule as a specialized weft of tissue; there is no carpogonium nor trichogyne formed; the hyphae that grow upward and form the podetium are generative filaments and give rise to asci and paraphyses. In a second species, _B. rufus_ (_Sphyridium_), the gonidial zone and outer cortex of a thalline granule swell out to form a thalline protuberance; the carpogonium arises close to the apex, and from it branch the generative filaments. Nienburg regards the stalk of _B. roseus_ as apothecial and as representing an extension of the proper margin[416] (_excipulum proprium_), that of _B. rufus_ as a typical vegetative podetium.