the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
The Moisture Mode-to-Gravity Wave Spectrum as a Framework to Define Tropical Weather Systems
Abstract. While mid-latitude weather is commonly described in terms of discrete "weather systems", such as cyclones and fronts, an equivalent framework is less established in the tropics due to the wide range of relevant scales. Instead, tropical weather is often analysed either in Lagrangian terms, through the tracking of mesoscale convective systems, or via spectral decomposition into planetary-scale wave-like disturbances. Here, we use both spectral analysis and Lagrangian object tracking to develop a novel framework for analysing tropical weather systems. We apply recent theoretical advances to classify convectively coupled tropical motions into three types based on their zonal phase speed: moisture modes, inertio-gravity waves, and mixed systems. We show that, consistent with theory, the observed ratio of low-level temperature to moisture anomalies increases with the system's phase speed, although moisture variations may not be negligible for inertio-gravity waves. Moisture modes and mixed systems show distinct dynamical structures near and off the equator, while inertio-gravity waves are less clearly differentiated. These characteristics are broadly consistent across the tropics, with some regional variations. We find that moisture modes account for up to 75% of extreme rainfall events along climatological moist margins, whereas mixed systems dominate in the intertropical convergence zone. Our new tropical weather systems framework offers a new way to link large-scale tropical dynamics with precipitation.
Competing interests: At least one of the (co-)authors is a member of the editorial board of Weather and Climate Dynamics.
Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.- Preprint
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Status: final response (author comments only)
- RC1: 'Comment on egusphere-2026-1981', Anonymous Referee #1, 08 May 2026
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RC2: 'Comment on egusphere-2026-1981', Kuniaki Inoue, 23 May 2026
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2026/egusphere-2026-1981/egusphere-2026-1981-RC2-supplement.pdf
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RC3: 'Comment on egusphere-2026-1981', Suqin Duan, 24 May 2026
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2026/egusphere-2026-1981/egusphere-2026-1981-RC3-supplement.pdf
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AC1: 'Summarised Responses to Referees' Comments', Muhamad Reyhan Respati, 15 Jul 2026
We thank all the referees for their constructive comments and valuable feedback. We appreciate the positive appraisals and the recommendation to revise our submitted manuscript. Below are our short responses to the major comments of each reviewer, outlining how we intend to address them in our revised manuscript. The revised manuscript, along with a detailed response to both major and minor comments of each reviewer, will be uploaded at a later date.
Referee #1
- We will present a clearer motivation for associating extreme rainfall with the three tropical weather system categories rather than with the equatorial waves or the MJO. Our main goal is to define a set of synoptic weather systems in the tropics in a similar manner to those in the extratropics, that is, on a scale between the planetary-scale "background waves" and the smaller mesoscale thunderstorms. We believe our method provides a useful decomposition of extreme rainfall, complementary to those based on the wave spectrum.
- We will make the sentence clearer in stating the fact that certain moisture modes like the MJO do not appear in any dry atmosphere models, while others like moist ER waves are just a modification of the dry version.
- While the reviewer is correct that we only use zonal propagation in our filtering, meridionally propagating signals will nevertheless be included at a phase speed close to zero. However, this is also true of traditional equatorial wave analysis. Including meridional propagation in our framework would involve the development of a fundamentally new methodology, which we postpone to future work. However, we will further discuss the limitations of using only zonal propagation in our revised manuscript.
- We will show that the displacement of the convective region towards the poleward flow of the cyclonic vortex is one of the "general" characteristics of the off-equatorial moisture modes, although it may not be universally true for ER waves, because our moisture modes are not only driven by the ER waves, but also other slowly-propagating waves and the interaction among them. We will also show a decomposition of our Eq. (4) to determine which term contributes the most to the deviation from nonlinear balance evident in the faster-propagating systems.
- We will show that this wave-like appearance is related to how we filter the OLR anomaly signals into moisture modes, mixed systems, and IG waves.
Referee #2
- We will address the referee's concerns by revising Eq. (2) to include its original form that includes both the Burger and the Froude numbers and by adding more discussion about why our off-equatorial moisture modes may be "contaminated" by systems with larger Nmode values.
- As suggested by the reviewer, we will perform our analysis separately for eastward and westward propagating moisture modes.
Referee #3
- We will add further discussion to describe how our identified systems relate to more tangible raw object-tracked systems like MCSs and TCs. To help with the interpretation of our detected objects, we will elaborate more on our main goal to define a set of synoptic weather systems in the tropics in a similar manner to those in the extratropics, that is, on a scale between the planetary-scale "background waves" and the smaller mesoscale thunderstorms. We will also show that, if not removed prior to the spectral filtering, TC signals will be misinterpreted as moisture modes due to their similar propagating speed.
- We will expand the discussion about the thermodynamics to explain why moisture perturbation amplitude increases with the system's phase speed. We will also change our use of the word "buoyancy" to avoid misunderstanding.
Citation: https://doi.org/10.5194/egusphere-2026-1981-AC1
Model code and software
trop-wx-sys-characs Muhamad Reyhan Respati https://github.com/m-reyhan-respati/trop-wx-sys-characs
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