To the authors,

You have thoroughly addressed the comments of the reviewers, who were quite positive about publication. Therefore I kindly ask you to submit a revised manuscript for minor revisions before publication.

Best regards,
Alex

To the authors,

You have thoroughly responded to the comments of the reviewers, who were largely positive about publication. I believe the current submission is near ready for publication, after addressing the following minor points.

Best regards,
Alex

General comments:

- I note that you refer to the different heat flow maps numerous times in the text. Perhaps this justifies defining a set of abbreviations (Colgan et al. (2022) map = > C22 map; Shapiro and Ritzwoller (2004) map => SR04 map; etc.). This is not a mandatory change, but it may improve readability.

Specific Comments:

L132: year.. => year.

L134: "geothermal heat flux" ⇐ is ghf prescribed at the ice base or is it prescribed further down in the lithospheric column? Also, until now this has been referred to as "geothermal heat flow", which is the consesus term.

L166: basal ice temperatures => basal ice temperature

L184: "surface mass balance forcing at transient equilibrium" ⇐ This phrase is unclear to me. Could you rephrase slightly. What is "transient equilibrium"?

Figure 1: It is a little bit strange to have the colors and range for the ensemble mean different from the individual maps. I suppose this is to show more clearly some of the features in the ensemble mean. However, this makes it difficult to compare an individual map to the ensemble mean. Furthermore, the features of the ensemble mean are not discussed particularly in the text. I would suggest using the same colors and range for the ensemble mean too. Perhaps add some more colors or shading to be able to see more details over the entire range of ghf values.

Figure 2, Figure 9, Figure 10, Figure 11: same comment here. Give ensemble mean the same colorbar as for individual panels.

To the authors,

The manuscript is in great shape. I only note now that you are using labels for each dataset (e.g., C2022, etc.), this should also be reflected in the Tables and figures:

- For Table 1, I would recommend you rename the column "Model" as "Reference". Then I would add an additional first column named "Model" or "Name", where the abbreviated name is given.
- For Table 2, make sure the column "Model" has the same name as in Table 1, and populate with abbreviated names.
- For all figures, use abbreviated names throughout as panel labels and legends.
- For Fig. 5, consider now putting the abbreviated name above each panel (a)-(g), to avoid needing the extra legend. Also, I note that it appears your lower x-limit could be reduced from -20 deg to -15 deg, to better see the scatterplots.
- Fig. 5, please add a panel label to the Greenland plot as well, and note it in the caption.

Best regards,
Alex