Let $L$ be a line bundle on $X$. A residually metrized model of $L$ is a pair ${\mathcal{L}}^{\#}=({\mathcal{L}},\psi_{0})$ where ${\mathcal{L}}$ is a model of $L$, determined on a proper dlt model ${\mathcal{X}}$ of $X$, and $\psi_{0}$ is a continuous Hermitian metric on ${\mathcal{L}}_{0}:={\mathcal{L}}|_{{\mathcal{X}}_{0}}$, viewed as a holomorphic line bundle over the complex space ${\mathcal{X}}_{0}$. A residually metrized model metric $\psi^{\#}$ on $L$ is an equivalence class of such pairs, modulo pull-back to a higher model.