Integrating Adaptive Mesh Refinement (AMR) into climate models is problematic partly because several components have difficulty in accommodating adaptive grids. However, on coarse resolutions, errors from each component of climate models contribute to the overall errors of the model output. Using AMR in single components could reduce one source of model error. Use of AMR in existing climate models could significantly reduced development time compared to designing a new model equipped with AMR. We integrate AMR into the tracer transport module of the atmospheric model, ECHAM6, and test our implementation in several idealized scenarios on spherical geometries as well as in a realistic application scenario (dust transport). In order to achieve this goal, we modified the Flux-Form Semi-Lagrangian (FFSL) transport scheme in ECHAM6 such that we can use the same scheme on adaptive meshes while retaining all important properties such as mass conservation of the original FFSL scheme. Our proposed AMR scheme is dimensionally split and ensures that high-resolution information is always transported on (locally) high-resolution meshes. We also introduce a data structure that can accommodate an adaptive Gaussian grid. We demonstrate that our AMR scheme improves both accuracy and efficiency compared to the original FFSL scheme. More importantly, our approach improves the representation of transport processes in ECHAM6 for coarse resolution simulations although more assessments of the overall improvement of model accuracy are needed. The results of this thesis suggest that we can overcome the overhead of developing a fully adaptive earth system model by integrating AMR into single components while leaving data structures of the dynamical core untouched. This enables researchers to retain well-tested and complex legacy code of existing models while still reducing model errors. ; Die Integration adaptiver Gitterverfeinerungsstrategien (AMR) in bestehende Klimamodelle ist teilweise problematisch, da mehrere Komponenten ...