  In this short paper, we establish a closer relation between the Berwald
scalar curvature and the $S$-curvature. In fact, we prove that a Finsler metric
has isotropic Berwald scalar curvature if and only if it has weakly isotropic
$S$-curvature. For Finsler metrics of scalar flag curvature and of weakly
isotropic $S$-curvature, they have almost isotropic $S$-curvature if and only
if the flag curvature is weakly isotropic.
