Dear authors,

the paper has significantly improved. It is accepted after technical corrections, including Figure caption 19 and improved Fig.18 & 20.

Congratulations.

Please include the technical corrections listed below.


L5 Omit „first paper“

L 17-20 Replace „at the end of the vortex phase“ by „until the end of the vortex phase“, to make clear that atmospheric turbulence is expected to dominate after the wake vortex phase.

L 47 Cite Gerz et al. (1998)

L 56 -57 As discussed in the reviewer, please replace “descends because of the downward motion induced by the vortices on each other” by “descends because of the downward impulse from the aircraft weight and”

L. 103 Replace “this conclusion has to be taken with caution because it is quite sensitive to the accuracy” by “although the details depend on the accuracy ...”

L 153 Insert “it” before “difficult”

L 259 lke - like

L 344 It is not true that you do not consider the Kelvin effect. You do consider it in Chapter 4.3 Please rephrase.

L 375 and Table 1 There seems to be an inconsistency between Dx x Dy x Dz = 1 x 1 x 4 in Table 1 and the value Dx= 4 m in the text.

L 418 Explain or point to explanation of how you adapt to periodic boundary condition.

Fig. 17 Caption, aircrafy - aircraft

Fig. 18 Please use dN / dlog D in all y axes

L 817 Replace “min sublimation” by “min, a sublimation”

L 818 diamter - diameter

L 820, replace 95 –> 0.95

L 841-42 I do not understand why the smaller coefficient reduces this underestimate.

L 869 insert “surface” before “tension”

Fig. 19 caption: The caption is incomplete. It does not explain the lower panel.

L 880 The last part of the sentence seems to be incomplete; “when ... cirrus”

L 893 proprieties - properties

L 934 Beside the large difference (>30%) in the dissipation range you may mention that the difference is smaller in the vortex phase.

L 937 agin - again

L 951 Again, you state that the Kelvin effect is not considered. This is contradicting section 4.3.

L 959-964 This is a long sentence (with a bracket), hard to digest. Perhaps you can break this up into shorter sentences.

L 1002 says that tau is larger than 5 min. However Table 4 lists values of tau of 8 s. This is contradicting.

L 1003-4 the bracket has to be shifted from behind “1” to behind “valid”.

L 1010 “below” can be skipped

L 1013 What is a “decent factor”, please rephrase.

L 1022 expect - except

Fig. 20 The legend lists 3 lines, only 2 lines are visible. Where is the red line for Re based on molecular viscosity?

In the legend, please replace: abased -> based

L 1082: toplogy -> topology

Please also note that the dissipation rate values deduced by Lindborg et al. depend on the measurement quality of the MOZAIC turbulence data. It may well be that low turbulence values occur frequently over the Oceans. This may not matter to the text.