ABSTRACT. Individual transferable quotas (ITQs) have become a popular management tool for fisheries. They have been promoted in some quarters and seriously criticized in others because of their social and economic impacts. A more serious problem is that ITQs provide exclusive access to public resources presumably in return for some public benefit, namely conservation; however, in a high percentage of cases they do not conserve fish stocks. In this article, we focus on the reasons that ITQs do not conserve stocks. We point to a number of phenomena identified in the literature as affecting stocks of fish, including problems with total allowable catch (TAC), ecological hierarchy theory, r and K species, the Allee effect, scale and metapopulation structure, the need to have selective gear, and the continuation of roving bandit incentives. Despite their growing popularity with managers, ITQs do not solve any of these problems. We argue there may be better ways to manage. One possibility is what we call parametric management.