Probability distribution function (PDF) of the 1-NNS distributions observed in Taurus (solid blue histogram: within the limited window W_in, that is, the three main filaments; dashed blue histogram: the entire Taurus region) and predicted for a random distribution (black histogram: for a Monte Carlo sampling within the window W_in; red curve: unlimited theoretical random 1-NNS distribution, see Eq. (3)). Both random populations are drawn using the same mean surface density ρ_w = 5deg². Increasing the mean density by a factor of two leads to a shift towards the left whose amplitude is represented by the green arrow. The Monte Carlo sampling in a finite window and the unlimited theoretical random 1-NNS do not significantly differ. The 1-NNS distributions computed either in the whole Taurus or within W_in do not significantly differ either. However, the Taurus and random 1-NNS distributions are statistically highly inconsistent, with a p-value of ~10^-16 for the KS test. The spatial distribution in Taurus is clearly far from being random.