Dear authors,

through E-mail conversation I had with one of the reviewers, there is still couple of issues, which need to be addressed:
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The new text still gives no hints how to come from the radiative transfer equation to essentially different Jacobians. This is what I would like to see. Simply repeating text from earlier papers of co-authors does not help.
Meanwhile I found a paper
Chen, Y., Y. Han, P. Van Delst, and F. Weng (2010), On water vapor Jacobian in fast radiative transfer model, J. Geophys. Res., 115, D12303, doi:10.1029/2009JD013379 from where I could get an impression of how the Jacobians come up out of the radiative transfer equation. Something like this should at least be quoted for the interested reader. Probably the authors know even more basic derivations. These papers or books could and should be cited.

Unfortunately my question regarding the sentence “The estimated total uncertainty is the square root of the sum of the three variances and in this case is around 16–19% at one sigma” in section 5 has not been understood. I simply want to know to which quantity this sigma refers. This should be added (“... where sigma is the standard deviation of the prababilitiy density function of xxx”).
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Best regards
Radovan Krejci