“…Since the front absorbing layer is probably subthermally excited, we assumed a conservative value for the excitation front layer of T f = 3 K. The continuum temperature, T c , was chosen such that the continuum radiation temperature, J c (T c ), matches the peak continuum flux in the image. The continuum source beam filling fraction, Φ, which is not well constrained, was set to 0.3 to use the same value as Di Francesco et al (2001), who modeled interferometric observations with a similar angular resolution as we did; this value is consistent with the line modeling results of coarse angular resolution Herschel data Kristensen et al (2012). Although the value of Φ used here is arbitrary, we have also performed line profile fits with higher values of Φ and the obtained infall velocity and velocity dispersion are unchanged, while the values for T r and τ 0 are increased and decreased, respectively.Similarly, if a higher value of T c is used, T r and τ 0 are increased and decreased, respectively, while we obtain the same results for V in and σ v .…”