Marginalised probability distribution of the disfavoured models’ IGM parameters at z ∼ 10 for the allUL and A_r = 0 scenario. The red and blue curves refer to the Single-z and Joint-z cases, respectively. The solid curves represent results when we consider LOFAR upper limits only, while the dotted curves refer to cases where we have used all available upper limit results from different radio interferometric observations.