Results of measurements performed to test the reliability of Plummer fits to the radial column density profiles of Plummer-shaped synthetic filaments with fixed input central column density contrast C⁰ = 1, inner diameter D_flat = 0.1 pc, and power-law index p = 2. The input D_flat and p values are marked by vertical dashed lines on the plots. The synthetic filaments are the same as those used in Fig. B.4. Two sets of results are provided for D_flat in panel a, depending on whether the power-law index p of the Plummer model profile was fixed to p = 2 [(1), yellow histogram] or left as a free parameter [(2), blue histogram]. The blue histogram of fitted p values in panel b corresponds to the blue distribution of D_flat(2) values in panel a. The median values of the derived parameters as well as their equivalent standard deviations (scaled from the measured IQRs) are provided at the top right of the panels.