  We compute the resultant measures for iterations $P^j$, $j\ge 1$, of a
polynomial $P$ of degree $>1$ on the $n$-th level Trucco's trees $\Gamma_n$,
$n\ge 0$, in the Berkovich projective line over a non-archimedean field and
also determine their barycenters. As applications, we study the asymptotic of
those barycenters as $n\to\infty$, and establish a uniform stationarity of
Rumely's minimal resultant loci of $P^j$ or equivalently that of the potential
semistable reduction loci of $P^j$ as $j\to\infty$. We also establish several
equidistribution results for the resultant measures themselves as $n\to\infty$.
