|The revised paper addresses my previous comments satisfactorily. I recommend to publish it after a few minor things (not needing another round of reviews) are addressed.|
Fig. 7: I think this should read:
"The minimum effective pressure becomes negative inside the region delineated by the red curve. Note that this region extends a bit beyond the right margin of the grey-marked unstable region: this small strip is the region where stable limit cycles coexist with steady state solution, as e.g. seen in the inset of figure 5b."
Are the findings reported here related to the pressure-waves that Dow et al. (2016 & 2018, https://doi.org/10.5194/tc-10-1381-2016 & https://doi.org/10.1002/2017JF004409) finds? Fig9--11 look similar the their plots. Could be mentioned in the Intro or Conclusions (P29L8-13(.
Figure 5: the vertical dotted line indicates transition between cavity-like and R-channel like. I would expect that instability sets in right at that transition, but for panels c--e it does not. Why is that? Can that be explained in the text?
In the discussion on P26, you describe how moulins work fine on short glaciers. This begs the question about moulins in Greenland, i.e. with L large. Can you say something about those?
Note that I did not read the supplementary material. But I am grateful that it is provided in such detail and that the code is open sourced.
Line by line
P2, L4: "same" -> "some"
P2, L32: "behaviour typical of"
P3,L2: "It is unclear if ..."
P3, L17: "rises such" and delete one of "alternative" "different"
P4, L1: "from Schoof et al."
P5, L10: "(Werder, 2016)", I'd also add "Röthlisberger, 1972"
P6, L4-5: this is repeated, delete
P6, L10: "drains"
P7, L8: if "dN/dx" is negligible, why does it then feature in Eq.2d? State more accurately.
P7, L20: full stop missing.
P10, L3-10: nice!
P10, L28: "N in units of m"
Fig 2: the asymptote for the red line looks like it's not going to meet the line (it's slope is too shallow). Is that correct?
P16, L12: "will change" -> "would change" as the presented model does not model floation.
P18, L2: "drops"
P19, L1: describe where this region is located in Fig 7 (as you do for the other asymptotic solution)
P19,L21: "effect of incipient"
Fig 7: second line of caption: delete extraneous ")"
Fig8: the reference at the end of the caption should point to figure 5.
P24, L25: "based" -> "inspired" as for the Hewitt&al model, one needs to treat S and Sw differently. I don't think this happens in the Eq16 model. Maybe briefly mention this discrepancy.
P26, L8: "and L."
P26, L10: wrong reference, I think Sec4 is right.
P27, L27: don't cite the same paper twice in one sentence.
P28, L24: "remains open during"
References: please add DOIs