It is widely attested, cross-linguistically, for both words and prosodic morphemes to be required to be minimally bimoraic or disyllabic. Work since McCarthy and Prince (1986) argues that these minimality effects fall out from the Prosodic Hierarchy. Requiring the relevant morpheme to be a Prosodic Word and dominate a stress Foot automatically also imposes a two mora or two syllable minimality requirement. In this paper I show, based on a reanalysis of reduplication in Axininca Campa, that this Prosodic Hierarchy-based theory of minimality is inadequate. I argue instead that morphological minimality conditions are better explained as a form of Head-Dependent Asymmetry (Dresher and van der Hulst 1998). Head morphemes are enhanced by requiring more complex prosodic structure, mirroring their more complex morphological structure. This alternative approach not only provides a uniform account of minimality effects holding for Axininca Campa reduplication, it also solves the problems raised by McCarthy and Prince's (1993, 1995) analysis of the data.Key words: compounds, head-dependent asymmetry, minimal word, minimality, onset, Optimality Theory, positional prominence, prosodic hierarchy, prosodic word, reduplication, stem; Axininca Campa, Diyari.* I would like to thank an anonymous reviewer, the editors of this volume as well as audiences at NYU, SUNY-Stony Brook, the 12 th Manchester Phonology Meeting, OCP2 in Tromsø, and the University of Barcelona for thought-provoking comments and questions on earlier versions of this work. Both the presentation and content of the analyses have been improved as a result of responding to these comments. Any errors of fact or interpretation are, of course, my responsibility.