Comparison between the outputs of a vertically static Gaussian distribution (left column) and a model after solving self-consistently for the vertical material distribution (right column). Each row shows the 2D distribution of key parameters, displayed using the same colorbar. From top to bottom, the volumetric gas density, gas temperature, and CO abundance (relative to H₂) are shown. In the bottom row, the solid line traces the ¹²CO τ = 1 surface and the dashed line the ¹³CO τ = 1 surface. These outputs are from our fiducial T Tauri star model with a 10⁻² M_⊙ disk.