Let $X$ be a proper scheme over $K$, $L$ a line bundle on $X$ and $({\mathscr{X}},{\mathscr{L}})$ a model of $(X,L)$ with $\|\ \|\coloneqq\|\ \|_{\mathscr{L}}$. Let $(X_{i})_{i\in I}$ be the irreducible components of $X$ equipped with their reduced structures. Then $\|\ \|$ is semipositive if and only if for all $i$, $\|\ \|_{|X_{i}}$ is semipositive.