Articles | Volume 25, issue 18
https://doi.org/10.5194/acp-25-11535-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.Quantifying the decay timescale of volcanic sulfur dioxide in the stratosphere
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- Final revised paper (published on 29 Sep 2025)
- Supplement to the final revised paper
- Preprint (discussion started on 03 Dec 2024)
Interactive discussion
Status: closed
Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor
| : Report abuse
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EC1: 'Preliminary Editor Comment on egusphere-2024-3525', Matthew Toohey, 13 Dec 2024
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AC1: 'Reply on EC1', Paul Nicknish, 29 Dec 2024
- AC5: 'Reply on AC1', Paul Nicknish, 09 Apr 2025
- AC6: 'Reply on AC1', Paul Nicknish, 09 Apr 2025
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AC1: 'Reply on EC1', Paul Nicknish, 29 Dec 2024
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RC1: 'Comment on egusphere-2024-3525', Anonymous Referee #1, 03 Jan 2025
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AC2: 'Reply on RC1', Paul Nicknish, 07 Feb 2025
- AC4: 'Reply on AC2', Paul Nicknish, 09 Apr 2025
- AC7: 'Reply on AC2', Paul Nicknish, 09 Apr 2025
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AC2: 'Reply on RC1', Paul Nicknish, 07 Feb 2025
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RC2: 'Comment on egusphere-2024-3525', Anonymous Referee #2, 05 Jan 2025
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AC3: 'Reply on RC2', Paul Nicknish, 07 Feb 2025
- AC8: 'Reply on AC3', Paul Nicknish, 09 Apr 2025
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AC3: 'Reply on RC2', Paul Nicknish, 07 Feb 2025
Peer review completion
AR: Author's response | RR: Referee report | ED: Editor decision | EF: Editorial file upload
AR by Paul Nicknish on behalf of the Authors (07 Feb 2025)
Author's response
Author's tracked changes
Manuscript
ED: Reconsider after major revisions (19 Feb 2025) by Matthew Toohey

AR by Paul Nicknish on behalf of the Authors (09 Apr 2025)
Author's response
Author's tracked changes
Manuscript
ED: Referee Nomination & Report Request started (23 Apr 2025) by Matthew Toohey
RR by Anonymous Referee #2 (01 May 2025)

RR by Anonymous Referee #1 (06 May 2025)

ED: Publish subject to minor revisions (review by editor) (07 May 2025) by Matthew Toohey

AR by Paul Nicknish on behalf of the Authors (13 Jun 2025)
Author's response
Author's tracked changes
Manuscript
ED: Publish subject to minor revisions (review by editor) (29 Jun 2025) by Matthew Toohey

AR by Paul Nicknish on behalf of the Authors (30 Jun 2025)
Author's response
Author's tracked changes
Manuscript
ED: Publish as is (08 Jul 2025) by Matthew Toohey
AR by Paul Nicknish on behalf of the Authors (10 Jul 2025)
Manuscript
As part of the open discussion, I am posting a brief editor comment which I hope will be useful to the authors, as well as for the referees to consider as they review the manuscript.
The main topic of interest of the study is the persistence of volcanic sulfur dioxide in the stratosphere. The title of the manuscript refers to a “decay rate”, however this term is used sparingly in the rest of the manuscript, instead we see many uses of the terms “lifetime” and “e-folding time”. This seems to imply that these three terms are synonymous. Indeed, in much of the relevant literature, one finds these terms (as well as related terms like “residence time”) used interchangeably. They should not be. These terms refer to measures of persistence that are related, but distinct from each other.
If a conservative tracer is injected into a reservoir at time t=0 and we measure the total amount of tracer in the reservoir as a function of time, our measurement time series might be called a “washout function”. The “e-folding time” is simply the time elapsed from t=0 when the amount of tracer reaches 1/e=0.368 of the injected amount. The “mean lifetime” is the average time that one molecule of tracer spends in the reservoir, which can be computed from the washout function. In both cases, it does not matter what functional form the washout function takes—it could be an exponential decay, a linear decay, or any other form, the e-folding time and mean lifetime can be computed from the washout function. Finally, the “decay timescale” describes the rate of exponential decay of the washout function. If the decay is perfectly exponential in nature, this fitting procedure will produce a single decay timescale value no matter the period over which the fit is performed. If the decay is not purely exponential, the fitting procedure will produce different decay timescale values depending on the period over which the fit is performed. Importantly, the e-folding time and mean lifetime are always single-valued quantities while the decay timescale could be a single value if applied to the full washout function, or could itself a function of time if the fit is performed over a moving window.
Some of these ideas are elaborated on in a manuscript currently in review of which I am an author (Toohey et al, 2024) in the context of analysis of volcanic stratospheric aerosol. The definitions of these quantities are certainly can be found in many sources, but I point out this particular manuscript in hopes that it might be useful to the authors.
To improve the analysis of SO2, I suggest:
1. What is calculated through the analysis presented in the present manuscript (e.g., as shown in Fig. 1) is I think best called a decay timescale, not an e-folding time, and to avoid confusion the authors should in potential future versions of the manuscript adjust all descriptions of their results as a computation of a decay timescale rather than other terms.
2. A main conclusion of the study (translated in terminology) is that since the decay timescale shows a range of values as the fitting window is varied for any individual eruption, the mean lifetime of SO2 in the stratosphere (for each eruption) is uncertain. This conclusion erroneously equates decay timescale with mean lifetime, which would only be true for a perfectly well-mixed reservoir, which is clearly not the case for the stratosphere. I imagine that there is considerable uncertainty in the mean SO2 lifetime, but that its quantification and our understanding of its physical underpinnings could be better described with some adjustments to the analysis, and a more carefully constructed framework in which to interpret variations in decay timescale and its implications.
References
Toohey, M., Jia, Y., Khanal, S., and Tegtmeier, S.: Stratospheric residence time and the lifetime of volcanic stratospheric aerosols, EGUsphere [preprint], https://doi.org/10.5194/egusphere-2024-2400, 2024.