The quoted dispersion is the standard deviation of the distribution of the measured parameter along each filament. In the case of  ⟨    FWHM_dec ⟩  (Col. 6), this dispersion (Col. 7) is higher than the error bar plotted in Fig. 7, which corresponds to the standard deviation of the mean deconvolved FWHM width.

p and R_flat correspond to the best-fit model of the form expressed by Eq. (1) to the mean column density profile of each filament. The fit was weighted by 1/σ(r)² where σ(r) is the standard deviation of the radial profile at projected radius r, estimated from the measured (1σ) dispersion along the filament. The same bounds (shown as vertical dashed lines in Figs. 4a, 4c, 5 for filaments 6 and 14) were used to fit the profiles and to calculate the mass per unit length by integrating over the radial profile.

Column 12 gives the projected mass per unit length obtained by integrating over the observed column density profile of each filament. The thermally supercritical filaments with M_line > M_line,crit are indicated in boldface, where /pc (for a gas temperature T ~ 12 K, corresponding to the median central dust temperature measured here, ignoring the temperatures of the filaments located in the PDR region).

Filaments 14, 23, and 26 have asymmetric radial profiles. A separate fit was thus performed on either side of each of these three filaments. The values of p and R_flat reported in Cols. 10 and 11 correspond to the best-fit values on either side of these filaments.

Filaments 16, 17, 18, and 19 are located in the PDR region called the Cocoon Nebula (see Figs. 3a and 1), and their derived dust temperatures may be overestimated.

Filaments 22 and 27 have unresolved widths and are shown as upper limits corresponding to 75% of the HPBW resolution in Fig. 7.