  In this paper we introduce the notion of scale pressure and measure theoretic
scale pressure for amenable group actions. A variational principle for amenable
group actions is presented. We also describe these quantities by pseudo-orbits.
Moreover, we prove that if $G$ is a finitely generated countable discrete
amenable group, then the scale pressure of $G$ coincides with the scale
pressure of $G$ with respect to pseudo-orbits.
