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The genus Squamidium, a group of mosses with a tropical to subtropical American-African distribution, consists of two sections and seven species (prior to this study 27 species were recognized): sect. Squamidium (S. leucotrichum, S. livens, S. isocladum, S. nigricans, S. brasiliense) and sect. Macrosquamidium (S. macrocarpum and S. diversicoma). Twenty-four names are treated as syn. nov., three are provisionally excluded pending an examination of their types, and one new combination is made: Orthostichopsis pilotrichelloides (Sehnem) Allen & Crosby. Section Squamidium ist characterized by immersed capsules, stolon leaves with entire margins, and a relatively high basal membrane. Section Macrosquamidium is characterized by exserted capsules, stolon leaves with sharply recurved marginal teeth, and a relatively low basal membrane. The genus is retained in the Meteoriaceae. Within the Meteoriaceae Squamidium, is most closely related to Zelotmeteorium from which it differs only by its lack of squarrose-recurved leaves and its more well-developed alar cells. Squamidium, which in the absence of sporophytes has been confused consistently with Orthostichopsis, is separated from that genus on the basis of its lack of pseudoparaphyllia, weaker costae, lack of a distinct region of reddish cells across the leaf base, and strongly decurrent alar cells.

Crossomitrium is a genus of neotropical, essentially epiphyllous mosses. The genus consists of six species that are distributed in two sections: section Crossomitrium (C. acuminatum, C. patrisiae, and C. scabrisetum) and section Cormophila (C. epiphyllum, C. saprophilum, and C. sintenisii). Section Crossomitrium is characterized by 1. plants nearly always on leaves or twigs, 2. lateral leaves oblongacuminate and widest below the middle, 3. leaves when dry that arch from an erect base downward to the substrate and, 4. the presence of specialized brood branches that are closely adnate to the substrate and have tightly imbricate leaves. Section Cormophila is characterized by 1. plants growing on rocks and tree trunks as well as on leaves, 2. lateral leaves oval to obovate, acute to apiculate and widest above the middle, 3. leaves when dry flattened to the substrate and, 4. the presence of erect, specialized brood branches that have leaves spreading on all sides. Crossomitrium is placed in the Hookeriaceae (sensu Whittemore & Allen, 1989) on the basis of its branched stems, ecostate leaves, straight, unbranched rhizoids that are tightly clustered just posterior to the leaf bases, 2-celled axillary hairs and weakly pigmented stem cortex. Within the Hookeriaceae Crossomitrium is considered close to the genus Lepidopilum by virtue of 1. its peristome which is hydrocastique and has a high basal membrane, 2. the spinose setae of C.acuminatum and C. scabrisetum, 3. the irregular subdivision of its stomatal guard cells (including the presence of stomates at the base of raised pustules), 4. leaves doubly serrulate by the projecting ends of contiguous marginal cells, 6. absence of a stem central strand. It differs from Lepidopilum in its 1. symmetric, ecostate leaves, 2. calyptra fimbriate by downward projecting, multicellular hairs that arise from the margins of the calyptra, 3. collenchymatous exothecial cells, 4. the presence of broodbodies on specialized brood branches as well as in clusters just below the junction of the leaf with the stem.