General comments

The authors present a new approach to estimate air specific humidity (q_a) over convective oceanic regions by exploiting the physical connection between cloud base height and near-surface relative humidity in oceanic regions where optically-thick clouds do not prevent lidar sampling.

In my view the manuscript is well structured and detailed. Overall, the authors introduced the need for a specific humidity estimate from cloud base height observations, they described their methodology and results in detail. They addressed the benefits and limitations of the method they introduced in a satisfactory manner.

If I would add something to the discussion it would be the relation to wind speed and how it affects in-situ and satellite retrievals directly or indirectly, given that the wind speed is an essential meteorological parameter for estimating latent heat flux.

Specific comments

Lines 30-41 The authors most likely refer to the COARE3.5 bulk algorithm which is one (though widely used) of many bulk algorithms to estimate latent heat flux. I think it should be noted here that the variations in the definition of the exchange coefficient can lead to latent heat flux estimates that differ by more than 2Wm^-2 especially at very low (<2m/s) and at high wind speeds (>17m/s). Also, the atmospheric stability is very important which is introduced into the stability functions in the form of z/L (where z is the measurement height and L is the Monin-Obukhov length) and is affected by the humidity estimate. The z/L could be used in a similar manner as the Buoyancy flux in Figure 1.

Lines 249-251 the consideration of the cool skin effect is essential in estimating specific humidity and latent heat flux. Just for reference, the developers of COARE just released a new treatment of the cool skin (https://doi.org/10.1029/2025JC023539). Omitting adjusting for the cool skin can lead to mean changes higher than 6Wm^-2 (Cronin et al. 2019, doi: 10.3389/fmars.2019.00430), provided that the bulk formula applied “expects” the skin temperature as input. In this case the authors consider a representative value, but for the operational product I think that a computational approach should be considered (cool skin, warm layer adjustments to the bulk sea surface temperature).

Line 293 “Because the air–sea temperature difference varies only modestly across most of the global ocean, it can be estimated statistically.” Though the statement can be true on monthly mean and basin-scale it has significant limitations e.g. in western boundary currents, upwelling zones and frontal regions where the variability is large to name one. In addition statistical methods complement rather than replace direct measurements if we want to achieve target accuracies (2-5Wm^-2 on daily/annual time scales) for surface turbulent fluxes. Note also that the accuracy for relative humidity would be 0.5-1% under common conditions, with critical challenges at very low wind speeds (up to 3% for u<3ms^-1).

Line 301-306 the authors claim that one of the goals for the method application is to establish large scale latent heat flux climatologies. What I am missing from this outlook is the relation to the exchange coefficient (discussed in the introduction briefly) and thus the wind speed. Especially, the estimation of latent heat flux is challenging at very low and high wind speeds. At very low wind speeds many bulk formulae including COARE include a convective gustiness term in order to allow for convergence. My suggestion would be to add some discussion about the limitations (or not) of the introduced method at low wind speeds.

Technical corrections

Line 51. “Gentemann et al. (2020) detail approaches to this problem” should be something like “Gentemann et al. (2020) provides detailed approaches to this problem”?

Line 171, add a comma after “Similarly, …”

Figure 4 caption add comma after first parenthesis: “…cloud base height, h (using the first, major peak of the distribution), from R/V Meteor (n=171, dark blue), and BCO (n=118, medium blue) measurements…”

General comments

The authors present a novel and original approach to estimating near-surface humidity from cloud-base height information using atmospheric thermodynamics. The manuscript is clearly written, and the uncertainties in the approach are well addressed. I have a few minor suggestions for improvement.

Suggestions.

Figure 1: This is a nice figure. As a suggestion, would it be possible to more clearly distinguish between regions that have a frequency of days with positive B0 < 0.5, for example by using a color table with blue and red colors for values <0.5 and >0.5, respectively? 

Theory section 4: There is some widely used earlier work that relate near-surface thermodynamic properties to the LCL. Could you briefly compare your analytical relations with those from, for example,  Romps (2017) and Lawrence (2005)?

- Romps, Exact Expression for the Lifting Condensation Level, jas, 2017

- Lawrence, M. G., 2005: The relationship between relative humidity and the dewpoint temperature in moist air: A simple conversion and applications. BAMS.

Eq. (3). It would be helpful if you could give some more elaboration explanation about how to arrive at Eq. (3)? 

line 129: maybe you could already mention the effect of precipitation at this point (elaborated later in the manuscript)?

line 155: could you explain the factor 0.13?

Figure 2: I think that 'x' is indicating the vertical coordinate in this figure, but in the text 'z' is used?

Figure 3: the lines appear a bit thin, thicker lines would perhaps make the figure more clear 

General question about surface instability, e.g. line 299: "the near-surface air temperature is cooler than the surface, so that the layer above is convectively driven." Near-surface instability is defined by the vertical gradient of the virtual potential temperature, which depends on the temperature and the humidity. In theory surface-driven convection can be driven by a vertical moisture gradient, even if the near-surface vertical potential temperature gradient is slightly positive. Could the authors clarify whether such conditions may occur in the situations considered here?

line 317: Define GEDI right after it is mentioned (Global Ecosystem Dynamics Investigation).