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Description
In the review process, one of the requests was for a freshwater budget to see the effects of salinity restoring, sea ice formation and freshwater advection on the shelf salinity. While we cannot do that without fully rerunning simulations, we can still gather the effect of restoring and sea ice by just analyzing the surface freshwater fluxes over the shelf.
Below is the total freshwater fluxes on the shelf for the simulations (+ = water into ocean). The fluxes below are integrated over the continental shelf, and averaged over the first 6 months of each simulation (which is the timescale where salinity changes over the shelf)
These fluxes confirm that salinity restoring is just too small to matter.
A reviewer might be caught up in the difference of sea ice fluxes between the 5m and 1m (differ by ~ 4% in sea ice ratio, and 11% in total FW ratio). I guess we can also point for the results of figure 4 (and the new quantification we did for the effect of sea ice on the text) as a second proof that the change in sea ice fluxes has a low effect on DSW formation.

Bias warning: I didn't have specific outputs for P-E+R for MOM6, or FWF specifically from sea ice. But since the forcing is the same, I just used the P-E+R from MOM5, and calculate the sea ice fluxes in MOM6 as the residual