  We study the dynamics of template iterations, consisting of arbitrary
compositions of functions chosen from a finite set of polynomials. In
particular, we focus on templates using complex unicritical maps in the family
$\{ z^d + c, c \in \mathbb{C}, d \ge 2 \}$. We examine the dependence on
parameters of the connectedness locus for a fixed template and show that, for
most templates, the connectedness locus moves upper semicontiuously. On the
other hand, one does not in general have lower semicontinuous dependence, and
we show this by means of a counterexample.
