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We review the analytical prescriptions in the literature to model the 21-cm(emission line surveys/intensity mapping experiments) and Damped Lyman-Alpha(DLA) observations of neutral hydrogen (HI) in the post-reionization universe.While these two sets of prescriptions have typically been applied separatelyfor the two probes, we attempt to connect these approaches to explore theconsequences for the distribution and evolution of HI across redshifts. We findthat a physically motivated, 21-cm based prescription, extended to account forthe DLA observables provides a good fit to the majority of the available data,but cannot accommodate the recent measurement of the clustering of DLAs at $z\sim 2.3$. This highlights a tension between the DLA bias and the 21-cmmeasurements, unless there is a very significant change in the nature ofHI-bearing systems across redshifts 0-3. We discuss the implications of ourfindings for the characteristic host halo masses of the DLAs and the powerspectrum of 21-cm intensity fluctuations.

Modelling the cosmic neutral hydrogen from DLAs and 21 cm observations