The distributions, with respect to habitat structure, of nine species of eastern-Australian cicadas have been shown to be non-random. The most striking consequence of this non-randomness is a marked inverse relationship between habitat breadth and habitat position (terms defined in text). Eight basic models and 12 derived models were used in conjunction with a canonical space to try to account for the ways in which the species of cicadas were distributed with respect to habitat. Several models produced results that were in reasonable agreement with the observed data. The most parsimonious of these corresponds to analytical results of other workers, such as Diamond's (1975) incidence curves, occurrence sequences (Schoener and Schoener 1983), and probability functions (Adler and Wilson 1985). The distributions of cicadas can be modelled by assuming that the species occupy sites independently of one another. These species of cicadas are unlikely to engage in interspecific competition, which is consistent with independence of distributions.