Recently, Cooke
et al
. (Cooke
et al
. 2022
R. Soc. Open Sci.
9
, 211165. (
doi:10.1098/rsos.211165
)) used a three-dimensional coupled chemistry-climate model (WACCM6) to calculate ozone column depths at varied atmospheric O
2
levels. They argued that previous one-dimensional (1-D) photochemical model studies, e.g. Segura
et al
. (Segura
et al
. 2003
Astrobiology
3
, 689–708. (
doi:10.1089/153110703322736024
)), may have overestimated the ozone column depth at low pO
2
, and hence also overestimated the lifetime of methane. We have compared new simulations from an updated version of the Segura
et al
. model with those from WACCM6, together with some results from a second three-dimensional model. The discrepancy in ozone column depths is probably due to multiple interacting parameters, including H
2
O in the upper troposphere, lower boundary conditions, vertical and meridional transport rates, and different chemical mechanisms, especially the treatment of O
2
photolysis in the Schumann–Runge (SR) bands (175–205 nm). The discrepancy in tropospheric OH concentrations and methane lifetime between WACCM6 and the 1-D model at low pO
2
is reduced when absorption from CO
2
and H
2
O in this wavelength region is included in WACCM6. Including scattering in the SR bands may further reduce this difference. Resolving these issues can be accomplished by developing an accurate parametrization for O
2
photolysis in the SR bands and then repeating these calculations in the various models.