Radial dependence of B at log τ = 0 (panel a)) and (ΔB/ Δlog τ)_0.0,−2.3 (panel b)) from the MHD simulation. Black curves are estimated directly from the MHD simulation and blue curves are the results of inversions of synthesized Stokes profiles from the MHD simulation at native resolution. Red curves are from inversions of synthesized Stokes profiles from the MHD simulation degraded to a spatial resolution of . Shaded areas represent standard deviation. The dotted vertical lines in both panels indicate the umbra-penumbra boundary and the outer boundary of the sunspot.