Slices through the simulation box, obtained by averaging two contiguous slices 1.95 h⁻¹ Mpc thick parallel to the (x, z) plane, displaying redshift space distortions along the z axis. The plot displays a Lyα forest transmitted flux F/F_c slice through the reference cosmological hydrodynamic simulation (top left), and through the predicted Lyα forest boxes obtained through the standard FGPA (bottom right), a FGPA with a velocity and threshold bias (bottom left), and our final nonlocal cosmic-web-dependent FGPA and stochasticity (top right). The maps are color-coded from red to blue for values ranging in the interval [0.1], where red indicates underdense regions and blue overdense ones. All the slices share the same color scale and the same extrema.