  The general form of soft supersymmetry breaking terms at one loop for
effective supergravity models based on the weakly-coupled heterotic string are
presented, with special emphasis on those terms arising from the superconformal
anomaly. The standard "anomaly-mediated" soft terms are observed to be a
special case of a more general class of models. Some phenomenological
consequences are considered and a comparison is made with scenarios involving
universal soft terms.
