"Applied sciences" in the title and in the text. I know this was a suggestion from one of the reviewer, but "applied sciences" sounds too broad. Maybe change to "atmospheric and climate sciences".

It is now compulsory in GMD to number model versions in the title. Here I can only encourage you to number the version of your aerosol reanalysis, eg v1.0.

In the abstract, "applied applications" is redundant. Please amend.

Equation 1: Kz appears twice, I think this is a mistake. Please define the vertical coordinate sigma beyond saying it goes from 1 to 0. I don't think x and y are longitude and latitude, or you're missing some corrective factors to account for the sphericity of the Earth and the fact that a unit longitude is not the same at every latitude.

I think Hanel is Hänel (with a umlaut) throughout the manuscript.

Equation 5: it should be noted that Gamma is a function of sigma. Also the integral should be from 0 to 1, or strictly speaking tau is a negative number...

Equation 6: Gamma (capital gamma) is already used, maybe gamma (small gamma) is more indicated for this exponent.

I prefer "550 nm" to "550nm" throughout the manuscript.

Equation 10: "scavenging" rather than "scavening"

Equation 12: can you say for which size range this corresponds to?

Please change "6-hrly" to "6-hourly", no need for an abreviation.

Line 455: change AOD to AOT for consistency with the rest of the manuscript.

Line 464: change "grids" to "grid locations". Use italics for m and n in text.

Line 477 and elsewhere: remove comma before year of reference.

Line 237: change "optical depth" to "optical thickness" for consistency