  We prove that once one has the ingredients of a ``single-energy multiscale
analysis (MSA) result'' on the $\mathbb{Z}^d$ lattice, several spectral and
dynamical localization results can be derived, the most prominent being strong
dynamical localization (SDL). In particular, given the recent progress at the
bottom of the spectrum for the $\mathbb{Z}^2$ and $\mathbb{Z}^3$ cases with
Bernoulli single site probability distribution, our results imply SDL in these
regimes.
