  A proper vertex coloring of a graph $G$ is equitable if the sizes of color
classes differ by at most one. The equitable chromatic threshold
$\chi_{eq}^*(G)$ of $G$ is the smallest integer $m$ such that $G$ is equitably
$n$-colorable for all $n\ge m$. We show that for planar graphs $G$ with minimum
degree at least two, $\chi_{eq}^*(G)\le 4$ if the girth of $G$ is at least
$10$, and $\chi_{eq}^*(G)\le 3$ if the girth of $G$ is at least $14$.
