the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Global shifts in mountain wave turbulence within high resolution climate models
Abstract. Using a multi-model approach, this paper quantified global changes in moderate or greater mountain wave turbulence (MWT) within a high-end warming scenario. Initial results found model resolution dependency apparent, therefore three high resolution global climate modelled datasets were used within the analysis; HadGEM3-GC3.1-HM (25 km), EC-Earth-3P-HR (36 km) and MPI-ESM1.2-XR (34 km). Regional dependencies developed around each model and index, with seasonal components an important contributor to results. A sub-continental approach was developed, focusing on all regions in which MWT arose. On average, the North American continent projected an increase in MWT, but a decrease over the Rocky Mountain range. This decrease was apparent in all seasons but northern hemisphere (NH) winter, with an increase of +60.6 % over the 101 year investigation period. NH summer, spring and autumn dropped by -58.3 %, -41.2 % and -30.9 %. Over several mountain ranges an increase was evident, particularly over Greenland and regions in Asia. However, a drop in MWT also arose over the Alps, Atlas and northern and central Andes. Southern Andes and the Himalayas had seasonal differences resulting in a mix of projected outcomes. A final aim arose around the connection to low-level, surface wind flow and MWT production. This paper found links between MWT trends and the shift in projected median surface wind flow. The aviation sector should be aware of the future projections in MWT, particularly for those were large increase over the 101 year period were evident, such as Asia, Greenland and the Antarctic.
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Status: final response (author comments only)
- RC1: 'Comment on egusphere-2025-2378', Anonymous Referee #1, 18 Aug 2025
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RC2: 'Comment on egusphere-2025-2378', Anonymous Referee #2, 19 Oct 2025
Overall comments:
This study investigates global changes in the occurrence of strong-intensity mountain wave turbulence (MWT) using high-resolution GCM data. The use of relatively fine-resolution datasets to project future changes in MWT is interesting, and the focus on resolution dependence as well as regional and seasonal variations offers potential scientific value.
However, several methodological aspects are insufficiently explained, and the figures showing the main results are difficult to interpret. Moreover, the discussion section does not clearly state the key findings and their broader implications for this topic. In its current form, the paper suffers from methodological uncertainty and a somewhat disorganized logical structure and thus requires substantial revision before it can be considered for publication. Detailed comments are provided below.
Major comments:
1) Clarity of data: The description of the datasets and method is not sufficiently clear. It would be helpful to specify the vertical resolution of each dataset, particularly the number of vertical levels used in calculating the turbulence indices. The readability of the model data are also quite limited. Additionally, please provide proper citations for each model dataset used. In addition, the period of the data used should be described in the “Data and Methods” section rather than in the “Results” section.
2) Methods: Before comparing the MWT results among the models, the authors should clearly explain how the MWT-prone regions were defined in a comparable manner. Regarding the criterion of “ds” (specifically, whether ds is nonzero or zero), the choice of threshold should account for model resolution to ensure that known mountainous regions can be adequately represented. Therefore, it may be necessary to adjust the ds threshold depending on the spatial resolution.
For example, Kim et al. (2023) mentioned that the ds threshold was tuned to adequately capture typical MWT-prone regions such as the Rocky Mountains, Andes, and Himalayas. In addition, the Methods section in Kim et al. 92023) actually indicates the use of low-level wind speed rather than vertical velocity. The corresponding sentence in the manuscript should be revised to avoid any potential misunderstanding.
3) Following the previous comment, Figure 1 shows that, for example, only parts of the western US mountain ranges are identified, while most of the expected mountainous regions appear to have no MWT computed. Can the authors provide evidence, such as case studies or other previous observational studies, that supports the reasonableness of the predefined MWT-prone regions used in this manuscript? Without such justification, it is difficult to assess whether the spatial filtering applied here appropriately captures areas that are susceptible to MWT.
4) Figure quality: The overall figure quality is too low, and the font sizes are too small. It is quite difficult to match the figures with the corresponding descriptions in the main text. Figures should allow readers to grasp the key results even without reading the full text, but in their current form, this is severely limited. Please improve the figure quality, increase font readability, and ensure that figure annotations are clearly written.
5) Figure presentation: The figures present the results from each model or region in a purely enumerative manner. Instead of displaying all results, it may be more effective to summarize the results in a more integrated and comparative format. The current figures are highly repetitive, and the small size makes it difficult to discern the key patterns. Please consider reorganizing the figures to highlight model similarities and/or differences more clearly.
Minor comments:
1) There is inconsistency in the spacing between numbers and units throughout the manuscript. Please ensure consistent formatting.
2) Line 4: A space is missing between “EC-Earth-3P-HR” and “(36 km)”. Please correct this.
3) Line 8: Instead of simply writing “101 years”, please specify the exact period. This will help readers clearly understand the time span of the current analysis.
4) Line 10: The expression “regions in Asia” is vague. Please clarify which specific regions are included.
5) Line 18: The phrase “vertical and horizontal atmospheric waves” is awkward. It seems that the authors intended to refer to vertically and horizontally propagating atmospheric (internal) gravity waves. Please revise the wording accordingly for scientific accuracy and clarity.
6) Line 20: Please clarify what “this boundary” refers to. The current wording is ambiguous.
7) Line 20: The phrase “typically lower at the tropopause” may not always be true, as it depends on the background wind conditions. If critical-level filtering by background wind does not occur, GWs can propagate to higher altitudes. Please revise this sentence.
8) Line 22: “lane et.al” should be corrected to “Lane et al. (2009)”. In addition, there are multiple typographical errors in in-text citations throughout the manuscript. Please carefully check and correct them.
9) Line 22: Instead of simply saying “this height”, it would be more informative to include an example altitude range.
10) Line 28: Please clarify what is meant by “substantial shift in airspeed”. Does “airspeed” refer to true airspeed? It is unclear how airspeed changes as a result of turbulence encounters.
11) Line 30: Convectively induced turbulence (CIT) includes not only turbulence within convective clouds but also near-cloud or out-of-cloud CIT occurring in cloud-free air.
12) Line 31: Out-of-cloud CIT can also be undetectable by onboard radar. It can occur in cloud-free air due to convectively induced background enhancement or vertically and horizontally propagating convective GWs. Please revise the original statement to avoid any confusion.
13) Line 52: Please provide the full name of “PIREPs” when first introduced (e.g., pilot’s verbal reports (PIREPs)).
14) Line 54: Please add citations to support the statement “Many previous studies”.
15) Line 53: I could not find “Gill (2018)” in the reference list. Also, Sharman et al. (2014) compared PIREPs with automated aircraft data and discussed timing and location discrepancies of PIREPs. I’d suggest including this reference.
16) Line 65: Please clarify whether the model data were analyzed on native vertical levels or isobaric levels.
17) Lines 82-83: According to Kim et al. (2023), low-level wind within a specific vertical range was used for the ds calculation. Please verify and clarify this point.
18) Lines 83-86: Please clarify how the consideration of terrain gradient is connected to linear theory. As linear wave theory is not limited to mountain waves, so the current statement may require modifications.
19) Lines 83-84: The phrase “the wave of a gravity wave amplitude” is unclear. Please rewrite it for clarity. Moreover, Wolff and Sharman (2008) may not be the most appropriate reference for this statement.
20) Lines 92-93: In Sharman and Pearson (2017), the values of 0.989 and 0.991 correspond to PODN, not AUC. The verification table does not show AUC values this high. Please correct this misinterpretation.
21) Lines 97-98: Please clarify what the “median” and “maximum” values are calculated relative to (e.g., temporal, model, spatial distributions).
22) Line 110: Please add a reference to support the statement about previous PIREP analyses.
23) Section 3: The figures are very difficult to read. Please increase the font size and consider summarizing key results in a few representative figures, moving the rest to an Appendix.
24) Before analyzing MWT results by model resolution and model difference, please ensure that the predetermined mountainous regions defined for each model are comparable. The analysis should ideally be conducted over similar regions for a fair comparison.
25) Line 124: Please clarify the phrase “In order of most turbulent”.
26) Lines 130-131: The statement “time has no linear effect on MWT” is unclear. Please explain what is meant by “no linear effect”.
27) Line 136: It seems this should refer to “Figures 2 and 3” rather than “Figures 2 to 5”, since Figures 4 and 5 correspond to South America and Europe. Please clarify.
28) Line 145: Instead of stating “meteorological NH’s winter”, it would be clearer to specify the exact period (e.g., DJF).
29) Line 155: Please discuss the physical meaning of why MWT_HTG shows a significant decline while other indices exhibit increases. What mechanism could explain this discrepancy?
Citation: https://doi.org/10.5194/egusphere-2025-2378-RC2
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- 1
This manuscript explores regional trends in mountain wave turbulence (MWT), linked to climate change, in high-resolution global climate models. They use a suite of indices and models to explore these trends and also link them to changes in low-level winds. This is an important topic, and the manuscript adds useful information. The results demonstrate significant dependence on the model, region, and index used, highlighting significant uncertainty in any conclusions about future trends. Only a few locations consistently demonstrate statistically significant trends (some negative, some positive), which itself is an important result. My main concerns with the manuscript are that it is missing important detail on the methods use, and the discussion could be expanded on and improved in some areas, with limitations further explored.
Major comments:
1 – What thresholds are used to diagnose MWT for each index to create Figure 1 (and are then used for the remainder of the manuscript)? This is not included anywhere and expanded detail on the methods are necessary for this work to be reproducible and complete. What do the frequency distributions of these indices look like? I suggest that the methods section needs to be expanded to include this detail.
2 – There should be some additional discussion about the appropriateness of using these indices in climate models as the majority of cited work (except Kim et al. 2023) apply the indices to higher resolution NWP models. Does the very smooth topography of climate models pose a significant impediment to doing this properly (even for the highest resolution grids)? I assume that for the indices you are using the native model topography to define the terrain gradient (though this is not stated anywhere and should be). What would the results look like if you used the model fields to define the CAT index, but a higher resolution topography dataset to define the terrain slope (i.e., the same terrain slope for every model)? Would that change the results? My concern is that smooth topography doesn’t identify the complexity of the terrain, reducing the overall area of identified MWT locations (Greenland is a good example, where MWT is only identified in near-coastal regions, whereas previous studies, e.g., Doyle et al. 2005 J. Atmos. Sci., have observed MWT closer to the centre of the continent, i.e., not only along the steepest slopes).
3 – What statistical technique is being used to determine statistical significance of the trend lines? As far as I can tell, significance is determined if the range of slopes (determined by error bars) are entirely positive or negative. But what is used to determine the error bars? It is also worth commenting more clearly about the fact that most of the linear fits appear as significant (i.e., strong correlation, which would probably pass statistical tests), and the ‘significance’ testing referred to is with regards to the gradient of these fitted lines being significantly different from zero.
4 – I had difficulty ascertaining exactly where there were actual significant trends (either positive or negative) and suggest that Figure 11 could be modified to make this clearer. Perhaps a 4th column for the overall results (combining from the three models) which identify the mean trend (whether it be positive, negative, or close to zero) and the reliability or significance of this trend. Once this is done, I suspect there will be few locations with a significant trend – if this is true, this ‘null’ result still has a lot of value.
Other minor comments.
Line 35. Suggest you cite Clark et al. (2000, J. Atmos. Sci., 1105-1131) here.
Line 37. Suggest you cite Foudad et a. (2024, J. Geophys. Res., https://doi.org/10.1029/2023JD040261 here, noting the uncertainty in future trends due to model variations etc.
Line 65-68. Unclear of purpose of these sentences. Could be removed or re-written.
Line 110-115. Are these differences purely related to topography resolution or are they impacted by impact of model resolution on flow features
Line 142 and numerous occurrences elsewhere. The word ‘propagate’ seems like the wrong word to use here to talk about trends.
Line 177-182. Could be rewritten to be clearer. The two conditions could be described earlier in the methods section.
Line 274. Suggest cite Doyle et al. 2005 here
Line 290. ‘previously touched’ – unclear, suggest rewrite
Line 335. ‘if applicable’ – unclear, suggest rewrite
Line 347. ‘tug of war…’ - unclear, suggest rewrite
Line 510. It would be useful to describe a more detailed comparison between your results and those published by Kim et al. How are trends different etc.
Figure quality. Many of the figures were difficult to interpret as the axes ranges were often too large. For example, if the y-range of Fig. 8 was changed to -100 to -50, the data and trends would be easier to interpret.
End of review