Roguing and replanting is a widely accepted control strategy of infectious diseases with limited reproduction capacity in orchards. Little is known about the effects of this type of management on the dynamics of the infectious disease. In this paper we analyze a model for the dynamics of a S-I-R type epidemic under roguing and replanting. The model is structured with respect to the number of infections on a tree. Trees are assumed to be rogued, and replaced by uninfected trees, when the number of infections on the tree reaches a threshold value, Lmax. It is shown that increasing Lmax can lead to large amplitude periodic fluctuations in the infectious disease and the number of trees rogued per year. We compare the Lmax which leads to periodic solutions, with the final value, L∞, theorem of the classical Kermak and McKendrick model. It is shown that the non-trivial steady state is stable if Lmax<L∞. Periodic solutions can only arise when Lmax>L∞. A biological interpretation of this result is given.