  We define a notion of residue field domination for valued fields which
generalizes stable domination in algebraically closed valued fields. We prove
that a real closed valued field is dominated by the sorts internal to the
residue field, over the value group, both in the pure field sort and in the
geometric sorts. These results characterize forking and \th-forking in real
closed valued fields (and also algebraically closed valued fields). We lay some
groundwork for extending these results to a power-bounded $T$-convex theory.
