Physical properties of the simulated and observed cores. We report the core mass and volume density (left column), as well as the virial parameter and Mach number (centre), calculated from the formulae reported in Appendix A. In the right column, we also report the fractional abundances of the two tracers in logarithmic scale, x(o-D₂H⁺) and x(o-H₂D⁺). Observed cores are reported as circles, while the green shaded area represents the range of values obtained for the simulated cores identified in our filaments (properties reported in Table 4).