  Computing the excess as a method of measuring the redundancy of frames was
recently introduced to address certain issues in frame theory. In this paper,
the concept of excess for the fusion frame setting is studied. Initially, a
local approach is presented to determine exactly which part of each subspace
should be considered as redundancy. Then, several explicit methods are provided
to compute the excess of fusion frames and their $Q$-duals. In particular, some
upper bounds for the excess of $Q$-dual fusion frames are established. It turns
out that each fusion frame and its $Q$-dual may not necessarily have the same
excess. Along the way, unlike ordinary frames, it follows that for every $n \in
\Bbb{N}$, we can provide a fusion frame together an its $Q$-dual such that the
difference of their excess is $n$. Furthermore, the connection between the
excess of fusion frames and their orthogonal complement fusion frames are
completely characterized. Finally, several examples are exhibited to confirm
the obtained results.
