gromov witten theory - Do the virtual fundamental classes satisfy functorial properties?

In Gromov–Witten theory, if the symplectic virtual fundamental classes constructed by B.Siebert satisfy functorial properties, i.e., if $fcolon Xto Y$ is an appropriate map between symplectic manifolds $X$ and $Y$, then $f_*colon [X]^{rm vir}=[Y]^{rm vir}$? In his paper constructing symplectic GW invariant, I didn't see he mentions this, so does anyone knows anything about this? Thanks!