  We construct a correspondence between Mori dream regions arising from small
modifications of normal projective varieties and $\mathbb{C}^*$-actions on
polarized pairs which are bordisms. Moreover, we show that the Mori dream
regions constructed in this way admit a chamber decomposition on which the
models are the geometric quotients of the $\mathbb{C}^*$-action. In addition we
construct, from a given $\mathbb{C}^*$-action on a polarized pair for which
there exist at least two admissible geometric quotients, a
$\mathbb{C}^*$-equivariantly birational $\mathbb{C}^*$-variety, whose induced
action is a bordism, called the pruning of the variety.
