Fortunately or not, bryophyte species concepts always have been based solely on morphological criteria. To some extent, this has been due to a lack of information regarding the population biology of mosses and liverworts. Gene flow distances, which result from sperm and spore dispersal, are extremely short, suggesting the possibility of genetic divergence between isolated colonies. Electrophoretic analyses bear out these predictions, in most cases showing unexpectedly high levels of genetic variation in these haploid-dominant organisms. Two models of genetic pop- ulation structure of bryophytes may represent ends of a continuum: (1) the Conocephalum conicum model, in which there are low levels of variation within races (which probably represent separate biological species), weak interpopulation differentiation, and no microscale heterogeneity, and (2) the Plagiomnium ciliare model, in which there are high levels of variation, strong interpopulation diferentiation, and microscale heterogeneity. Bryophyte taxonomists must decide how to use in- formation from studies of population biology, being aware of the difficulties posed by such phenom- ena as sibling species, autopolyploid species pairs, and convergent evolution. Fortunately perhaps, bryophyte species concepts always have been based solely on morphological criteria. However, the general consensus regarding how species of bryophytes should be delimited springs out of our profound ignorance of certain aspects of the basic biology of these organisms. There is limited information on reproductive isolation, gene flow, and genetic differentiation. It is, there- fore, largely unknown whether some of the vexing difficulties that have been uncovered in angiosperm taxonomy, such as sibling species, also exist in bryo- phytes. Because reproductively isolated units have been delimited so seldom in studies of bryophytes, it is impossible to state how closely such breeding groups are in accord with morphologically defined species. In this paper I shall concentrate on new ideas regarding species concepts in bryophytes and on some recently collected data. My intent is radical: to stimulate serious thinking about what a bry- ophyte species is, and what it should be, and also to point out the sorts of information we need about the basic population biology of these organisms.