the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Global spatial and temporal variations of gravity-wave-induced heat fluxes and heating rates based on SABER's observations
Abstract. Gravity waves (GWs) play an important role in balancing the energy budget of the mesosphere and lower thermosphere (MLT) by heating/cooling the background atmosphere. The global heat fluxes and heating rates generated by non-breaking GWs are derived from SABER observations during 2002–2025. The derived heat fluxes are mainly downward and cool the background atmosphere, with peaks occurring at 80–100 km. Around 35 °N, the monthly mean heat flux and heating rate are ~−0.7 Kms−1 and ~−12 Kday−1, with standard deviations of ~1.1 Kms−1 and ~20 Kday−1, respectively. Global GW-induced heat fluxes and heating rates exhibit stronger annual and weaker semiannual oscillations, with the stronger peak in summer hemisphere. Moreover, these quantities show notable interhemispheric and seasonal asymmetries, with larger summer amplitudes occurring at the northern high latitudes. Such interhemispheric asymmetry agrees with the colder summer mesopause at northern high latitudes. However, the heat fluxes and heating rates derived here are ~0.3−0.5 times the values lidar observations and are ~0.5 times the theoretical values and breaking GWs. These underestimations are induced by the uncertainties of GW propagation directions, observational filter, and limited GW wavelengths observable by SABER.
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RC1: 'Comment on egusphere-2026-5223', Anonymous Referee #1, 17 Sep 2026
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The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2026/egusphere-2026-5223/egusphere-2026-5223-RC1-supplement.pdfReplyCitation: https://doi.org/
10.5194/egusphere-2026-5223-RC1 -
RC2: 'Comment on egusphere-2026-5223', Anonymous Referee #2, 25 Sep 2026
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The manuscript develops a method for estimating gravity-wave-induced heat fluxes and heating rates from SABER temperature observations and examines their global and seasonal distributions over 2002–2025. Extending these diagnostics beyond individual lidar sites provides useful information on the thermal effects of non-breaking gravity waves in the MLT.
I find the scientific motivation and overall approach convincing and recommend minor revision. The discussion of directional uncertainty is useful and could be extended to consider whether statistical correction is feasible; the remaining comments concern equations, figure labels, references and language.The directional-bias analysis in Section 3.2 is useful, and a brief discussion of possible correction approaches would make it more valuable to other researchers. Could assumptions about wave-direction distributions, or constraints from complementary observations and models, support a statistical correction of the climatological estimates? A fully implemented correction is not expected here; outlining possible approaches and their main assumptions and limitations would already offer useful guidance for future applications of this method.
Lines 587–588: The simple cos α scaling for heating rate requires α to be independent of altitude, as discussed in Section 3.2, but this qualification is missing from the conclusion. egusphere-2026-5223 egusphere-2026-5223
Lines 292–293 and 446–451, and Figure 5: The text and caption refer to P90, whereas the colour bars identify the stronger negative values as P10; please reconcile the labels and clarify whether percentiles are calculated from signed values or absolute magnitudes. egusphere-2026-5223 egusphere-2026-5223
Equation 6b does not clearly express the extraction of the phase angle from the complex cross-wavelet coefficient, and Equation 10 lacks the normalization needed for a period average. Please check these expressions against the calculations actually used. egusphere-2026-5223 egusphere-2026-5223
Equation 15 has inconsistent density factors in the derivative expansion and does not follow the density-weighted flux-divergence form of Equation 13; please check the expression and its accompanying explanation. egusphere-2026-5223 egusphere-2026-5223
Several cross-references and indices need checking: “Figure 2(b)” in line 193 appears to refer to Figure 1(b), “Equation (4)” in line 336 refers to Equations 14a–b, and Equation 12 mixes summation indices j and k. egusphere-2026-5223 egusphere-2026-5223 egusphere-2026-5223
Lines 265–269 interpret the amplitude decrease above 100 km physically, whereas lines 520–521 exclude this region because of wavelet edge effects; please clarify the altitude range used for the interpretation. egusphere-2026-5223 egusphere-2026-5223
The Figure 4 caption misidentifies the rows showing vertical velocity, and the first row of Figure 7 shows month–altitude rather than month–latitude distributions. egusphere-2026-5223 egusphere-2026-5223
Please make the terminology for negative heating rates consistent: Figure 2 uses both CR and HR, while “enhanced heating rates” in lines 532–536 refers to stronger cooling. egusphere-2026-5223 egusphere-2026-5223
Line 88 places ALO at 30.3°N, whereas the later description gives 30.3°S; the hemisphere designation at 55°S in line 441 also needs checking against the months and patterns discussed. egusphere-2026-5223 egusphere-2026-5223
The contour labels and colour-bar text in Figures 3–7 are rather small and would benefit from enlargement. egusphere-2026-5223 egusphere-2026-5223
Liu et al. (2022), cited in line 265, appears to be missing from the reference list; the Malavart et al. (2025) proceedings entry and the author formatting in Russell et al. (1999) also need attention. egusphere-2026-5223 egusphere-2026-5223 egusphere-2026-5223
Several phrases or sentences remain incomplete, particularly the comparison in Abstract lines 36–37, “The mean values of in December” in lines 244–245, and the sentence beginning “A general conclusion is that” in lines 540–542. Other examples include “statistic stability,” “Theorical,” “summum maxima,” “is originates,” and the repeated unit notation “K/day⁻¹.”
Citation: https://doi.org/10.5194/egusphere-2026-5223-RC2
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