In this paper a summary is given of the basic approaches for the modeling and parameterization of turbulence in the atmospheric boundary layer. The treated approaches are in current use in regional and global-scale models for the forecasting and study of weather, climate and air quality. Here we have shown the results of such approaches by using single column models in comparison with field data and fine-scale model results.We have also studied the impact of the surface temperature condition on the variability of results by an atmospheric boundary-layer model. From the coupled model results we achieve that surface feedback can compensate for some of the variety introduced by changing model parameters. Generally much work needs still to be d...