  We present a method for calculating the dynamical degree of a mapping with
unconfined singularities. It is based on a method introduced by Halburd for the
computation of the growth of the iterates of a rational mapping with confined
singularities. In particular, we show through several examples how simple
calculations, based on the singularity patterns of the mapping, allow one to
obtain the exact value of the dynamical degree for nonintegrable mappings that
do not possess the singularity confinement property. We also study linearisable
mappings with unconfined singularities to show that in this case our method
indeed yields zero algebraic entropy.
