Rain attenuation is the main cause of unavailability in fixed terrestrial radio systems operating at frequency of above 10 GHz in tropical areas. Propagation impairments are expected to be quite severe in these regions. Due to these adverse propagation conditions, Fade Mitigating Techniques (FMT) are often needed. To design and optimize FMT, the knowledge of the cumulative distribution of rain attenuation and of the dynamic behavior of the propagation channel, as provided by fade durations and fade slope statistics, is required. This need can be fulfilled by the introduction of time series of propagation impairments in system simulation. If real data collected from propagation experiments are not available, typical fading time-series may be generated making use of climatologic characteristics as well as geometrical and radiowave parameters of the link. Three models for long-term rain attenuation time series synthesizers are presented and tested in this work using data measured in five terrestrial radio links operating at 15 GHz. The first one was originally developed for satellite systems in temperate climates whereas the second one is a modified version proposed in this work for terrestrial links in tropical areas. A third model is proposed in this work and is based on a different approach using the Gamma distribution. Time series were synthesized by the three models and stationary and dynamic statistics between synthesized and experimental data were compared. The first two models provide good results in some cases but the third model provides significantly better results for cumulative distributions of attenuation and fade-slope.