The presence of static heterogeneity leads to the formation of thermally induced circulations that force the development of precipitation on the warmer patch. The subsequent infiltration of precipitation into the soil enhances the soil moisture of the initially warmer patch and leads to an enhancement of the latent heat flux at the expense of the sensible heat flux. This homogenizes the surface flux difference induced by the background static heterogeneity. However, even after two weeks of simulation, the effects of the static heterogeneity are still visible, and the infiltration of precipitation does not manage to introduce new length scales in the system. Moisture and surface energy budget calculations confirm that in the vast majority of possible surface and atmospheric conditions, dynamic heterogeneity cannot compensate for the effect of static heterogeneity. These results are verified against observations.