Let $X$ be a strictly $K$-analytic space and $L$ a line bundle on $X$. A piecewise linear metric on $L$ is called semipositive in $x\in X$ if there exists a compact strictly $K$-analytic domain $W$ which is a neighbourhood of $x$ such that there is a formal model $(\mathfrak{W},\mathfrak{L})$ of $\left(W,L\Big|_{W}\right)$ inducing the metric on $W$ and satisfying $\Deg_{\mathfrak{L}}(C)\geq 0$ for every proper closed curve $C$ in the special fibre of $\mathfrak{W}$. The metric on $L$ is called semipositive in a subset $V\subseteq X$ if it is semipositive in every $x\in V$. It is called semipositive if it is semipositive in $X$.