Dines compensation applies especially in mesoscale circulations (i.e. supercells) and in macroscale and mesoscale tropical circulations. For instance, it is not uncommon to see anti-cyclonic cirrus outflow from a hurricane in visible satellite imagery.
Dines compensation applies differently in the mid-latitudes, as upper-level highs are not necessarily associated with surface lows. Jet streaks and other upper level features, however, can contribute or support lower level convergence/divergence.