Theoretical average fragmentation rate $\overline{{\varphi }_{3D_{model}}}$ integrated between R_a = 1.4 kAU and R_b = 26 kAU as a function of the injected mass rate ξ. The red horizontal line and grey uncertainty band corresponds to the fragmentation rate $\overline{{\varphi }_{3D}}=0.77\pm 0.20$ measured in NGC 2264. The arrows indicate the ξ boundaries between which our model is compatible with the measurement for different cloud initial densities ρ₀.