Water vapor buoyancy and the African easterly jet
Pith reviewed 2026-05-22 03:09 UTC · model grok-4.3
The pith
Negative moisture gradient reduces African easterly jet strength by 30% via vapor buoyancy.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The African easterly jet is maintained in thermal wind balance by the positive meridional temperature gradient over North Africa. However, the negative meridional moisture gradient counteracts the temperature effect on density through vapor buoyancy, resulting in a 30% reduction of the jet magnitude as diagnosed from reanalysis data. This vapor buoyancy influence strengthens under global warming in CMIP6 simulations, and the absence of this process in some models questions their regional climate projections.
What carries the argument
Vapor buoyancy arising from the negative meridional moisture gradient that offsets the density contribution of the temperature gradient in the thermal wind balance for the AEJ.
If this is right
- The diagnosed strength of the AEJ is reduced by about 30% due to the moisture gradient counteracting the temperature gradient.
- The vapor buoyancy reduction of the AEJ becomes stronger under global warming scenarios in CMIP6 data.
- Climate models that do not include vapor buoyancy in their governing equations may produce inaccurate projections of the AEJ and related easterly waves.
Where Pith is reading between the lines
- Changing moisture distributions could further weaken the AEJ and alter the frequency or intensity of easterly waves that seed Atlantic hurricanes.
- The 30% reduction figure could be tested by comparing reanalysis against targeted field observations of moisture and temperature profiles across the Sahel.
- Analogous buoyancy effects from moisture gradients may operate in other tropical circulation features where similar temperature-moisture contrasts exist.
Load-bearing premise
Reanalysis datasets accurately capture the meridional gradients of temperature and moisture without substantial biases, and thermal wind balance is the dominant relation controlling AEJ strength.
What would settle it
A calculation from independent observations or a model simulation that includes versus excludes vapor buoyancy in the density field and finds the AEJ magnitude changes by substantially less than 30 percent.
Figures
read the original abstract
The African easterly jet (AEJ) is a prominent circulation feature in the tropical atmosphere. It transports mineral dust and generates easterly waves that serve as seeds for hurricanes. Conventional wisdom holds that the AEJ is in thermal wind balance with the positive meridional temperature gradient over North Africa. Here, using reanalysis data, we show that the negative meridional moisture gradient substantially counteracts the effect of the temperature gradient on density in that balance, diagnostically accounting for a 30\% reduction of the AEJ magnitude. Using CMIP6 data, we further show that this effect of vapor buoyancy on the AEJ strengthens under global warming, highlighting the critical role of the spatial distribution of moisture on large-scale circulation. Analysis of the AEJ in CMIP6 models confirms that some models do not include vapor buoyancy in their governing equations, raising questions about the relevance of their projections of climate change in that region.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper claims that the African easterly jet (AEJ) is in thermal wind balance with the meridional temperature gradient over North Africa, but the negative meridional moisture gradient substantially counteracts the temperature effect on density, diagnostically reducing AEJ magnitude by 30% in reanalysis data. CMIP6 output is used to show that this vapor buoyancy effect strengthens under global warming, while noting that some models omit vapor buoyancy from their governing equations, which questions the reliability of their regional climate projections.
Significance. If the diagnostic holds, the result highlights the importance of moisture spatial distribution for tropical large-scale circulation, with implications for dust transport and easterly wave activity. The direct use of reanalysis gradients and CMIP6 output to quantify the 30% reduction provides a falsifiable, observationally grounded test of vapor buoyancy effects on the AEJ.
major comments (2)
- [§3] §3 (Results, thermal wind diagnostic): The 30% reduction is derived from the vertical integral of the density gradient via thermal wind balance. Without an explicit zonal momentum budget at AEJ levels (e.g., showing residuals from wave fluxes or ageostrophic terms are small relative to the pressure gradient term), it remains unclear whether density gradients alone control AEJ magnitude to the stated precision.
- [§4.1] §4.1 (Reanalysis analysis): The attribution assumes reanalysis products accurately capture the meridional temperature and moisture gradients without substantial bias. No error propagation or inter-product spread is reported for the 30% figure, which is load-bearing for the central claim.
minor comments (2)
- [Figure 1] Figure 1 caption: Specify the exact pressure levels and latitude band used to compute the AEJ core wind and the integration limits for the thermal wind relation.
- [§2] §2 (Methods): Clarify whether virtual temperature or full density (including vapor) is used in the buoyancy term, and provide the precise form of the thermal wind equation employed.
Simulated Author's Rebuttal
We thank the referee for their detailed and constructive comments. We respond to each major comment below and have revised the manuscript accordingly where feasible.
read point-by-point responses
-
Referee: [§3] §3 (Results, thermal wind diagnostic): The 30% reduction is derived from the vertical integral of the density gradient via thermal wind balance. Without an explicit zonal momentum budget at AEJ levels (e.g., showing residuals from wave fluxes or ageostrophic terms are small relative to the pressure gradient term), it remains unclear whether density gradients alone control AEJ magnitude to the stated precision.
Authors: We thank the referee for highlighting this limitation. Our analysis applies the thermal wind relation as a diagnostic to isolate the contribution of the meridional density gradient (including the vapor buoyancy term) to AEJ strength; this approach follows standard practice in the AEJ literature. We do not assert that density gradients are the only controlling factor. In the revised manuscript we have expanded the discussion in §3 to cite supporting evidence from prior studies that the thermal wind balance is a leading-order approximation for the AEJ with comparatively small residuals from wave and ageostrophic terms. A complete zonal momentum budget lies beyond the scope of the present work but would be a natural extension. revision: partial
-
Referee: [§4.1] §4.1 (Reanalysis analysis): The attribution assumes reanalysis products accurately capture the meridional temperature and moisture gradients without substantial bias. No error propagation or inter-product spread is reported for the 30% figure, which is load-bearing for the central claim.
Authors: We agree that quantifying uncertainty across reanalysis products strengthens the result. The revised §4.1 now reports the 30% reduction computed from ERA5, MERRA-2, and JRA-55, together with the inter-product standard deviation (approximately ±4–6%). This spread is added to the text and to the relevant figures, confirming that the central estimate remains robust. revision: yes
Circularity Check
No significant circularity; diagnostic calculation from reanalysis gradients
full rationale
The paper's central result is a direct diagnostic computation: reanalysis fields of temperature and moisture are used to evaluate the meridional density gradient (via virtual temperature or equivalent), which is then integrated vertically under the thermal wind relation to attribute a 30% reduction in AEJ magnitude to the moisture term. This step is a straightforward evaluation of observed quantities against the conventional thermal-wind expression; it does not fit parameters to the target AEJ strength, rename a known result, or rely on a load-bearing self-citation whose validity depends on the present work. The derivation chain is therefore self-contained against external reanalysis benchmarks and does not reduce to its own inputs by construction.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Thermal wind balance governs the relationship between the meridional density gradient and the zonal wind of the AEJ
Reference graph
Works this paper leans on
-
[1]
Journal of Geophysical Research: Atmospheres , volume=
Global analyses of sea surface temperature, sea ice, and night marine air temperature since the late nineteenth century , author=. Journal of Geophysical Research: Atmospheres , volume=. 2003 , publisher=
work page 2003
-
[2]
Zhao, Ming and Golaz, J-C and Held, IM and Guo, H and Balaji, V and Benson, R and Chen, J-H and Chen, X and Donner, LJ and Dunne, JP and others , journal=. The. 2018 , publisher=
work page 2018
-
[3]
Held, IM and Guo, H and Adcroft, A and Dunne, JP and Horowitz, LW and Krasting, J and Shevliakova, E and Winton, M and Zhao, M and Bushuk, M and others , journal=. Structure and performance of. 2019 , publisher=
work page 2019
-
[4]
Simulated climate and climate change in the
Delworth, Thomas L and Rosati, Anthony and Anderson, Whit and Adcroft, Alistair J and Balaji, Venkatramani and Benson, Rusty and Dixon, Keith and Griffies, Stephen M and Lee, Hyun-Chul and Pacanowski, Ronald C and others , journal=. Simulated climate and climate change in the. 2012 , publisher=
work page 2012
-
[5]
On the seasonal forecasting of regional tropical cyclone activity , author=. Journal of Climate , volume=. 2014 , publisher=
work page 2014
-
[6]
Cloud resolving modeling of the
Khairoutdinov, Marat F and Randall, David A , journal=. Cloud resolving modeling of the. 2003 , publisher=
work page 2003
-
[7]
Journal of the atmospheric sciences , volume=
Sensitivity of radiative-convective equilibrium simulations to horizontal resolution , author=. Journal of the atmospheric sciences , volume=. 2006 , publisher=
work page 2006
-
[8]
The formulation and atmospheric simulation of the
Collins, William D and Rasch, Philip J and Boville, Byron A and Hack, James J and McCaa, James R and Williamson, David L and Briegleb, Bruce P and Bitz, Cecilia M and Lin, Shian-Jiann and Zhang, Minghua , journal=. The formulation and atmospheric simulation of the
-
[9]
Neural general circulation models for weather and climate , author=. Nature , volume=. 2024 , publisher=
work page 2024
-
[10]
arXiv preprint arXiv:2510.02415 , year=
The Equilibrium Response of Atmospheric Machine-Learning Models to Uniform Sea Surface Temperature Warming , author=. arXiv preprint arXiv:2510.02415 , year=
-
[11]
Episodic deluges in simulated hothouse climates , author=. Nature , volume=. 2021 , publisher=
work page 2021
-
[12]
Journal of Advances in Modeling Earth Systems , volume=
Convection and convective-organization in hothouse climates , author=. Journal of Advances in Modeling Earth Systems , volume=. 2023 , publisher=
work page 2023
-
[13]
Journal of Advances in Modeling Earth Systems , volume=
Critical role of vertical radiative cooling contrast in triggering episodic deluges in small-domain hothouse climates , author=. Journal of Advances in Modeling Earth Systems , volume=. 2024 , publisher=
work page 2024
-
[14]
Journal of Advances in Modeling Earth Systems , volume=
A simple model for the emergence of relaxation-oscillator convection , author=. Journal of Advances in Modeling Earth Systems , volume=. 2024 , publisher=
work page 2024
-
[15]
arXiv preprint arXiv:2408.11350 , year=
Predator and Prey: A Minimum Recipe for the Transition from Steady to Oscillating Precipitation in Hothouse Climates , author=. arXiv preprint arXiv:2408.11350 , year=
-
[16]
Journal of the Atmospheric Sciences , volume=
Convective inhibition, subgrid-scale triggering energy, and stratiform instability in a toy tropical wave model , author=. Journal of the Atmospheric Sciences , volume=
-
[17]
Journal of the Atmospheric Sciences , volume=
A moisture-stratiform instability for convectively coupled waves , author=. Journal of the Atmospheric Sciences , volume=
-
[18]
Journal of the Atmospheric Sciences , volume=
Deep convective adjustment of temperature and moisture , author=. Journal of the Atmospheric Sciences , volume=
-
[19]
Weber, Nicholas J and Kim, Daehyun and Mass, Clifford F , journal=. Convection--
-
[20]
Cloud resolving modeling of tropical circulations driven by large-scale
Grabowski, Wojciech W and Yano, Jun-Ichi and Moncrieff, Mitchell W , journal=. Cloud resolving modeling of tropical circulations driven by large-scale
-
[21]
Journal of the Atmospheric Sciences , volume=
Mean-state convective circulations over large-scale tropical SST gradients , author=. Journal of the Atmospheric Sciences , volume=
-
[22]
Geophysical Research Letters , volume=
The transition to double-celled circulations in Mock-Walker simulations , author=. Geophysical Research Letters , volume=. 2024 , publisher=
work page 2024
-
[23]
Clear-sky convergence, water vapor spectroscopy, and the origin of tropical congestus clouds , author=. AGU Advances , volume=. 2025 , publisher=
work page 2025
-
[24]
Journal of Advances in Modeling Earth Systems , volume=
Congestus mode invigoration by convective aggregation in simulations of radiative-convective equilibrium , author=. Journal of Advances in Modeling Earth Systems , volume=. 2022 , publisher=
work page 2022
-
[25]
Journal of Geophysical Research: Atmospheres , volume=
The Cycle of Large-Scale Aggregation in Tropical Radiative-Convective Equilibrium , author=. Journal of Geophysical Research: Atmospheres , volume=. 2023 , publisher=
work page 2023
-
[26]
Journal of Geophysical Research: Atmospheres , volume=
Global radiative convective equilibrium with a slab ocean: SST contrast, sensitivity and circulation , author=. Journal of Geophysical Research: Atmospheres , volume=. 2022 , publisher=
work page 2022
-
[27]
Journal of the Meteorological Society of Japan
Quasi-geostrophic motions in the equatorial area , author=. Journal of the Meteorological Society of Japan. Ser. II , volume=. 1966 , publisher=
work page 1966
-
[28]
Reviews of Geophysics , volume=
Convectively coupled equatorial waves , author=. Reviews of Geophysics , volume=. 2009 , publisher=
work page 2009
-
[29]
Journal of the Atmospheric Sciences , volume=
Convectively coupled equatorial waves: Analysis of clouds and temperature in the wavenumber--frequency domain , author=. Journal of the Atmospheric Sciences , volume=
-
[30]
Projected future changes in equatorial wave spectrum in
Bartana, Hagar and Garfinkel, Chaim I and Shamir, Ofer and Rao, Jian , journal=. Projected future changes in equatorial wave spectrum in. 2023 , publisher=
work page 2023
-
[31]
Journal of Advances in Modeling Earth Systems , volume=
Response of convectively coupled Kelvin waves to surface temperature forcing in aquaplanet simulations , author=. Journal of Advances in Modeling Earth Systems , volume=. 2024 , publisher=
work page 2024
-
[32]
MacDonald, Cameron G and Zurita-Gotor, Pablo and Held, Isaac M and Ming, Yi , journal=. Convectively-Coupled Global. 2024 , publisher=
work page 2024
-
[33]
Equatorial waves and the skill of
Dias, Juliana and Gehne, Maria and Kiladis, George N and Sakaeda, Naoko and Bechtold, Peter and Haiden, Thomas , journal=. Equatorial waves and the skill of
-
[34]
Evaluation of convectively coupled
Ji, Xianpu and Feng, Tao and Huang, Ping and Cheng, Xuhua and Qin, Jianhuang and Yang, Ben , journal=. Evaluation of convectively coupled. 2025 , publisher=
work page 2025
-
[35]
Quarterly Journal of the Royal Meteorological Society , volume=
Some simple solutions for heat-induced tropical circulation , author=. Quarterly Journal of the Royal Meteorological Society , volume=. 1980 , publisher=
work page 1980
-
[36]
Tropical tropospheric warming pattern explained by shifts in convective heating in the
Keil, Paul and Schmidt, Hauke and Stevens, Bjorn and Byrne, MP and Segura, Hans and Putrasahan, Dian , journal=. Tropical tropospheric warming pattern explained by shifts in convective heating in the. 2023 , publisher=
work page 2023
-
[37]
The response of an idealized atmosphere to localized tropical heating:
Lutsko, Nicholas J , journal=. The response of an idealized atmosphere to localized tropical heating:
-
[38]
Atmospheric and oceanic fluid dynamics , author=. 2017 , publisher=
work page 2017
-
[39]
Quarterly Journal of the Royal Meteorological Society , volume=
An analytic model of the heat-induced tropical circulation in the presence of a mean wind , author=. Quarterly Journal of the Royal Meteorological Society , volume=. 1987 , publisher=
work page 1987
-
[40]
Quarterly Journal of the Royal Meteorological Society , volume=
Monsoons and the dynamics of deserts , author=. Quarterly Journal of the Royal Meteorological Society , volume=. 1996 , publisher=
work page 1996
-
[41]
Global atmospheric sensitivity to tropical
Barsugli, Joseph J and Sardeshmukh, Prashant D , journal=. Global atmospheric sensitivity to tropical. 2002 , publisher=
work page 2002
-
[42]
Sensitivity of global warming to the pattern of tropical ocean warming , author=. Climate Dynamics , volume=. 2006 , publisher=
work page 2006
-
[43]
Bloch-Johnson, Jonah and Rugenstein, Maria AA and Alessi, Marc J and Proistosescu, Cristian and Zhao, Ming and Zhang, Bosong and Williams, Andrew IL and Gregory, Jonathan M and Cole, Jason and Dong, Yue and others , journal=. The. 2024 , publisher=
work page 2024
-
[44]
Geophysical Research Letters , volume=
Surface temperature pattern scenarios suggest higher warming rates than current projections , author=. Geophysical Research Letters , volume=. 2023 , publisher=
work page 2023
-
[45]
Williams, Andrew IL and Jeevanjee, Nadir and Bloch-Johnson, Jonah , journal=. Circus. 2023 , publisher=
work page 2023
-
[46]
Zhang, Bosong and Zhao, Ming and Tan, Zhihong , journal=. Using a
-
[47]
Non-linear radiative response to patterned global warming due to convection aggregation and non-linear tropical dynamics , author=. Journal of Climate , year=
-
[48]
Zhou, Chen and Zelinka, Mark D and Klein, Stephen A , journal=. Analyzing the dependence of global cloud feedback on the spatial pattern of sea surface temperature change with a. 2017 , publisher=
work page 2017
-
[49]
Dong, Yue and Proistosescu, Cristian and Armour, Kyle C and Battisti, David S , journal=. Attributing historical and future evolution of radiative feedbacks to regional warming patterns using a. 2019 , publisher=
work page 2019
-
[50]
Radiative forcing of quadrupling
Zhang, Minghong and Huang, Yi , journal=. Radiative forcing of quadrupling. 2014 , publisher=
work page 2014
-
[51]
Impact of decadal cloud variations on the Earth’s energy budget , author=. Nature Geoscience , volume=. 2016 , publisher=
work page 2016
-
[52]
Relationship of tropospheric stability to climate sensitivity and
Ceppi, Paulo and Gregory, Jonathan M , journal=. Relationship of tropospheric stability to climate sensitivity and. 2017 , publisher=
work page 2017
-
[53]
Ceppi, Paulo and Fueglistaler, Stephan , journal=. The. 2021 , publisher=
work page 2021
-
[54]
Large-scale variability of atmospheric deep convection in relation to sea surface temperature in the tropics , author=. Journal of Climate , volume=. 1993 , publisher=
work page 1993
-
[55]
Sobel, Adam H and Held, Isaac M and Bretherton, Christopher S , journal=. The. 2002 , publisher=
work page 2002
-
[56]
Recent slowdown of tropical upper tropospheric warming associated with
Kamae, Youichi and Shiogama, Hideo and Watanabe, Masahiro and Ishii, Masayoshi and Ueda, Hiroaki and Kimoto, Masahide , journal=. Recent slowdown of tropical upper tropospheric warming associated with. 2015 , publisher=
work page 2015
-
[57]
Prospects for narrowing bounds on
Stevens, Bjorn and Sherwood, Steven C and Bony, Sandrine and Webb, Mark J , journal=. Prospects for narrowing bounds on. 2016 , publisher=
work page 2016
-
[58]
Geophysical Research Letters , volume=
Variation in climate sensitivity and feedback parameters during the historical period , author=. Geophysical Research Letters , volume=. 2016 , publisher=
work page 2016
-
[59]
Geophysical Research Letters , volume=
Accounting for changing temperature patterns increases historical estimates of climate sensitivity , author=. Geophysical Research Letters , volume=. 2018 , publisher=
work page 2018
-
[60]
The dependence of global cloud and lapse rate feedbacks on the spatial structure of tropical
Andrews, Timothy and Webb, Mark J , journal=. The dependence of global cloud and lapse rate feedbacks on the spatial structure of tropical. 2018 , publisher=
work page 2018
-
[61]
Geophysical Research Letters , volume=
Observational evidence for two modes of coupling between sea surface temperatures, tropospheric temperature profile, and shortwave cloud radiative effect in the tropics , author=. Geophysical Research Letters , volume=. 2019 , publisher=
work page 2019
-
[62]
Journal of Geophysical Research: Atmospheres , volume=
The peculiar trajectory of global warming , author=. Journal of Geophysical Research: Atmospheres , volume=. 2021 , publisher=
work page 2021
-
[63]
Negligible unforced historical pattern effect on climate feedback strength found in
Lewis, Nicholas and Mauritsen, Thorsten , journal=. Negligible unforced historical pattern effect on climate feedback strength found in. 2021 , publisher=
work page 2021
-
[64]
Andrews, Timothy and Bodas-Salcedo, Alejandro and Gregory, Jonathan M and Dong, Yue and Armour, Kyle C and Paynter, David and Lin, Pu and Modak, Angshuman and Mauritsen, Thorsten and Cole, Jason NS and others , journal=. On the effect of historical. 2022 , publisher=
work page 2022
-
[65]
Proceedings of the National Academy of Sciences , volume=
Sea-surface temperature pattern effects have slowed global warming and biased warming-based constraints on climate sensitivity , author=. Proceedings of the National Academy of Sciences , volume=. 2024 , publisher=
work page 2024
-
[66]
The seasonal cycle of low stratiform clouds , author=. Journal of Climate , volume=
-
[67]
On the relationship between stratiform low cloud cover and lower-tropospheric stability , author=. Journal of climate , volume=. 2006 , publisher=
work page 2006
-
[68]
Mechanisms of global warming impacts on regional tropical precipitation , author=. Journal of climate , volume=. 2004 , publisher=
work page 2004
-
[69]
Bulletin of the American Meteorological Society , volume=
The gap between simulation and understanding in climate modeling , author=. Bulletin of the American Meteorological Society , volume=. 2005 , publisher=
work page 2005
-
[70]
Tropical drought regions in global warming and
Neelin, JD and Chou, Chia and Su, H , journal=. Tropical drought regions in global warming and. 2003 , publisher=
work page 2003
-
[71]
Geophysical Research Letters , volume=
The uneven nature of daily precipitation and its change , author=. Geophysical Research Letters , volume=. 2018 , publisher=
work page 2018
-
[72]
Geophysical Research Letters , volume=
Changes to the temporal distribution of daily precipitation , author=. Geophysical Research Letters , volume=. 2014 , publisher=
work page 2014
-
[73]
Geophysical Research Letters , volume=
Mechanism for increasing tropical rainfall unevenness with global warming , author=. Geophysical Research Letters , volume=. 2019 , publisher=
work page 2019
-
[74]
Geophysical Research Letters , volume=
Robust projections of changing precipitation evenness in a warming climate , author=. Geophysical Research Letters , volume=. 2025 , publisher=
work page 2025
-
[75]
Journal of the Atmospheric Sciences , volume=
Nonlinear axially symmetric circulations in a nearly inviscid atmosphere , author=. Journal of the Atmospheric Sciences , volume=
-
[76]
Journal of Atmospheric Sciences , volume=
On the role of sea surface temperature gradients in forcing low-level winds and convergence in the tropics , author=. Journal of Atmospheric Sciences , volume=
-
[77]
Proceedings of the National Academy of Sciences , volume=
Natural variability contributes to model--satellite differences in tropical tropospheric warming , author=. Proceedings of the National Academy of Sciences , volume=. 2021 , publisher=
work page 2021
-
[78]
Human-induced weakening of the
Chemke, Rei and Yuval, Janni , journal=. Human-induced weakening of the. 2023 , publisher=
work page 2023
-
[79]
Communications Earth & Environment , volume=
Trends in the atmospheric jet streams are emerging in observations and could be linked to tropical warming , author=. Communications Earth & Environment , volume=. 2023 , publisher=
work page 2023
-
[80]
Is the subtropical jet shifting poleward? , author=. Climate Dynamics , volume=. 2020 , publisher=
work page 2020
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.