Now we consider a model function $f$ on ${X^{{\mathrm{an}}}}$. Using the setting of Proposition 3.5 and (b), we see that $f=F\circ\tau$ for a piecewise linear function $F$ on $S(\mathscr{X})$ such that $mF$ is integral $\Gamma$-affine for some non-zero $m\in\mathbb{N}$. We also assume that $\theta$ is a closed $(1,1)$-form on ${X^{{\mathrm{an}}}}$ which is determined on our given strictly semistable model $\mathscr{X}$.