Correlations of velocity width to H₂ column density along the filament spine directions for the north-west (top left) north-east (top right), north (bottom left) and south-east (bottom right) filaments, excluding the portion of the spines that intersect the central hub regions (identified as where the filament can no longer be distinguished from the hub). Filled circles denote the spinal pixel position of the identified cores along the filaments. A mean error is plotted in the bottom right of each panel, equal to ±20% on the mean H₂ column density, and ± 0.05 km s⁻¹ on Δ V.