Comparison between models with different coherence lengths and the ARCTOMO data. The two plots show the p-values of the KS test between model and data as a function of the coherence length adopted in the model. The black curve shows the median value of the 1000 realizations created for each C_length value (see Sect. 4.1), with the gray band showing the 32nd and 68th percentiles. The horizontal dotted line depicts p_value = 0.05, meaning that models with a probability higher than this threshold can be considered in agreement with the data. Top: comparison of the scatter in the EW–R′ relation. Bottom: comparison of the EW fractional differences for spaxel separations smaller than 5 kpc. This figure shows that models with 1.5 ≲ C_length/kpc ≲ 7 are consistent with the data.