the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
A Colorful look at Climate Sensitivity
Abstract. The radiative response to warming, and to changing concentrations of CO2, is studied in spectral space. If relative humidity does not change with temperature, clear-sky emissions over spectral intervals in which water vapor is optically thick become independent of surface temperature, giving rise to the idea of spectral masking. It is demonstrated that this idea allows one to derive simple, physically informative, and surprisingly accurate, expressions for the clear sky radiative forcing, radiative response to warming and hence climate sensitivity. Extending these concepts to include the effects of clouds, leads to the expectation that (i) clouds damp the clear-sky response to forcing, (ii) that diminutive clouds near the surface, which are often thought to be unimportant, may be particularly effective at enhancing the clear-sky sensitivity over deep moist tropical boundary layers; and (iii) even small changes in high-clouds over deep moist regions in the tropics makes these regions radiatively more responsive to warming that previously believed. The analysis demonstrates that the net effect of clouds on warming is ambiguous, justifying the assertion that the clear-sky (fixed RH) climate sensitivity – which after accounting for clear-sky surface albedo feedbacks, is about 3 K – provides a reasonable prior for Bayesian updates accounting for how clouds are distributed, how they they might change, and for deviations associated with changes in relative humidity with temperature. These effects are best assessed by quantifying the distribution of clouds and water vapor, and how they change, in temperature, rather than geographic space.
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Notice on discussion status
The requested preprint has a corresponding peer-reviewed final revised paper. You are encouraged to refer to the final revised version.
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Preprint
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The requested preprint has a corresponding peer-reviewed final revised paper. You are encouraged to refer to the final revised version.
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Journal article(s) based on this preprint
Interactive discussion
Status: closed
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RC1: 'Comment on egusphere-2022-1460', Anonymous Referee #1, 10 Jan 2023
This paper repeats recent developments in simplified yet still spectrally-resolved models for greenhouse gas radiation, and in particular the modeling of the water vapor feedback and CO2 forcing. It then synthesizes these into an analytical estimate of climate sensitivity, which is only a minor extension of previous work but is still novel. Some of the ideas developed for the H2O feedback are then applied to understand the impacts of clouds on radiative feedbacks, and in particular the role they might play as blackbodies radiating through the H2O window.
The paper is thoughtful, synthetic, and provocative. The section on cloud radiative feedbacks in particular contains some stimulating new ideas. The paper is also, however, quite idiosyncratic. It spends much time covering ground which previous authors have covered, without much obvious payoff to the reiteration. The calculations are also quite idealized on a number of counts, which on its own is fine. But then certain quantitative conclusions are drawn (particularly regarding clouds) which can be demonstrated to be sensitive to the idealizations, and are known to differ in even slightly more comprehensive calculations. I detail these concerns below.
My overall feeling is that while this paper contains some useful syntheses and stimulating new ideas, it doesn't function very well in its current form. It could be shortened into a very nice commentary by compressing the review of recent work, emphasizing the very nice point that clear-sky climate sensitivity is well understood and should form our prior for climate sensitivity, and being more circumspect in the discussion of cloud radiative effects. Or, it could be turned into a more traditional journal article by attempting to flesh out some of the proposed ideas regarding cloud radiative effects, as in the research programme nicely laid out in lines 398-399.
Major comments1. The authors acknowledge at the outset that they are replicating recent work, but argue that their ideas, as developed independently, are foundational for their more novel ideas about clouds. I did not find that to be the case, however. The material on the H2O feedback (sections 3.2-4.1) and CO2 forcing (section 4.2) seem to end up at the same place as previous authors, and I did not see anything new which was key to the later developments. I think readers would be better served by a more compressed review of recent findings, rather than a lengthy re-development. I expand on this in the next few items.
2. Section 3.1 on the water vapor path W seems overwrought. The theory in 3.1.1 seems very close to that of section 2 of the SI of Koll and Cronin, and could just be quoted as such. Also, while the comparison to observations in Fig. 2 is laudable, it feels unnecessary in a conceptual paper such as this. Furthermore, the difference in slopes between theory and obs in Fig. 2 is noticeable and goes entirely unexplained. This difference also results in the authors carrying around two forms of W(T) for the rest of the manuscript, despite the fact that the choice of W(T) doesn't seem to have much bearing on the results.
3. The discussion of Simpsonian physics and its implications in 3.2 and 3.3 is nice, but the main results are virtually identical to those already found in the literature: Eq. 9 is equivalent to Eq. 13 of Jeevanjee et al. 2021a, and Eq. 10 here is actually identical to Eq. 10 of Koll and Cronin 2018. While these papers and others are cited in general in the introduction, they are not mentioned when these specific results are derived, so readers may wonder whether or not these results differ at all from those already in the literature.
4. I found Eq. 15 and its interpretation below Eq. 16 confusing. How would one derive this? As far as I can tell, it is an exact expression for the TOA flux for an isothermal stratosphere at temperature T_cp overlying a surface with temperature T_sfc. I did not see a value-add to this section relative to existing treatments of simplified formulas for CO2 forcing (Wilson and Gea-Banacloche 2012, Jeevanjee et al. 2021b, Romps 2022 J. Clim.)
5. I found section 5.1 to be the most provocative and stimulating of the paper. I appreciate this alternative approach to thinking about how clouds interact with climate feedbacks, as well as the underappreciated point that warming clouds will radiate through the window just as the surface does. But, the idea that the ratio of cloud radiation increase to surface radiation increase (denoted \eta) might differ significantly from 1 hinges on the exact shape of \Lambda(T) in Fig. 5, which was derived under a variety of strong assumptions (no CO2, no pressure broadening, etc.). Furthermore, somewhat more comprehensive calculations, such as in McKim 2021 and Koll and Cronin 2018, show a reduced sensitivity of \Lambda to temperature, with values plateauing near 2 W/m^2/K over a large range of T_sfc. Indeed, the point of Koll and Cronin 2018 was to understand *why* \Lambda varied so little with T_sfc.
Minor comments1. I appreciated the discussion around line 210 that \lambda_cs is a quantity we understand.
2. I appreciated the argument around line 390 for a null hypothesis that the change in LWCRE with warming should be zero. This seems consistent with the fact that simulated changes in LWCRE are more or less symmetric about zero, e.g. Table 1 of Andrews, Gregory, and Webb 2015.
3. Eq. 24 for climate sensitivity is very nice, and a nice synthesis of recent developments.
4. line 323, \lambda_cs -> 0 : This does not occur in the presence of CO2 (Seeley and Jeevanjee 2021, Kluft et al. 2021)
5. How should Eq. 28 be interpreted? Also, note that the canonical forcing estimate of 3.7 W/m^2 includes not only cloud masking but stratospheric adjustment, the latter being a roughly 30% effect.
6. Line 310, "From Fig. 5, clouds with tops at 288 K will radiate twice as much energy per degree of warming than would the surface at 305 K." Again, the results of McKim 2021 and Koll and Cronin suggest this effect is more like a 40% increase (at an RH of 50%), not a doubling.
Citation: https://doi.org/10.5194/egusphere-2022-1460-RC1 -
RC2: 'Comment on egusphere-2022-1460', Anonymous Referee #2, 06 Feb 2023
This is a thought provoking paper and a good read. The most novel and interesting part is Section 5. The ealier sections essentially repeat earlier work by Jeevanjee and Romps (2018) etc. and Koll and Cronin (2018) etc.. I think it would make a really useful paper if it is rewritten to bridge better to past literature and focus on what is really new. My comments are below
1. Their spectral blocking apporach is new phrasing. However, such approaches have a long history in the radiative transfer literature, e.g. corrleated K codes and narrowband codes all split the spectrum into weak absorbing and strong absrobing spectral intervals - the tricky parts being those spectral intervals in between: which are often the same intervals that contribute most to forcing and feedback. I think the paper needs to say up front that we have radiative transfer models and radiative convective models that can solve things properly (at least the radaitive transfer parts can be solved), and what the paper is developing a simple concepts to help understand models and observational results?
2. I found the radiative forcing section quite weak. It seems to be a less complete vesion of work by Jeevanjee , Huang and others - it also missed important concepts such as stratospheric and other adjustments which significantly alter the forcing. I think it would be better just to cite other work when building your climate sensitivivty arguments.
3. I'm not sure how much spectral blocking is really needed for the aguments. A paper that should be cited and contrasted with is Hartmann et al. (2022) https://doi.org/10.1175/JCLI-D-21-0861.1. They develop very simiilar argument using a more general specrtal sensitivity concept.
4. I wanted to learn from the cloud feeback section how concepts such a the increase in height on avil coulds fair within the ideas presented - the same goes for decreases in stratocumulus decks. I feltthat it would be useful to spell these ou more explicitly.
5. I felt Section 5.3 on climate sensitivity was quite specultative and handwavy. It might be better to explore what would be neeeded to make the cloud feedback large and positive - or negative? Also I was not persuaded by the overlap with albedo feedback. The albedo feedback is mostly contintental , whereas the SW cloud feedback is mostly over the oceans....
Citation: https://doi.org/10.5194/egusphere-2022-1460-RC2 -
AC1: 'Comment on egusphere-2022-1460', Bjorn Stevens, 25 Mar 2023
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2023/egusphere-2022-1460/egusphere-2022-1460-AC1-supplement.pdf
Interactive discussion
Status: closed
-
RC1: 'Comment on egusphere-2022-1460', Anonymous Referee #1, 10 Jan 2023
This paper repeats recent developments in simplified yet still spectrally-resolved models for greenhouse gas radiation, and in particular the modeling of the water vapor feedback and CO2 forcing. It then synthesizes these into an analytical estimate of climate sensitivity, which is only a minor extension of previous work but is still novel. Some of the ideas developed for the H2O feedback are then applied to understand the impacts of clouds on radiative feedbacks, and in particular the role they might play as blackbodies radiating through the H2O window.
The paper is thoughtful, synthetic, and provocative. The section on cloud radiative feedbacks in particular contains some stimulating new ideas. The paper is also, however, quite idiosyncratic. It spends much time covering ground which previous authors have covered, without much obvious payoff to the reiteration. The calculations are also quite idealized on a number of counts, which on its own is fine. But then certain quantitative conclusions are drawn (particularly regarding clouds) which can be demonstrated to be sensitive to the idealizations, and are known to differ in even slightly more comprehensive calculations. I detail these concerns below.
My overall feeling is that while this paper contains some useful syntheses and stimulating new ideas, it doesn't function very well in its current form. It could be shortened into a very nice commentary by compressing the review of recent work, emphasizing the very nice point that clear-sky climate sensitivity is well understood and should form our prior for climate sensitivity, and being more circumspect in the discussion of cloud radiative effects. Or, it could be turned into a more traditional journal article by attempting to flesh out some of the proposed ideas regarding cloud radiative effects, as in the research programme nicely laid out in lines 398-399.
Major comments1. The authors acknowledge at the outset that they are replicating recent work, but argue that their ideas, as developed independently, are foundational for their more novel ideas about clouds. I did not find that to be the case, however. The material on the H2O feedback (sections 3.2-4.1) and CO2 forcing (section 4.2) seem to end up at the same place as previous authors, and I did not see anything new which was key to the later developments. I think readers would be better served by a more compressed review of recent findings, rather than a lengthy re-development. I expand on this in the next few items.
2. Section 3.1 on the water vapor path W seems overwrought. The theory in 3.1.1 seems very close to that of section 2 of the SI of Koll and Cronin, and could just be quoted as such. Also, while the comparison to observations in Fig. 2 is laudable, it feels unnecessary in a conceptual paper such as this. Furthermore, the difference in slopes between theory and obs in Fig. 2 is noticeable and goes entirely unexplained. This difference also results in the authors carrying around two forms of W(T) for the rest of the manuscript, despite the fact that the choice of W(T) doesn't seem to have much bearing on the results.
3. The discussion of Simpsonian physics and its implications in 3.2 and 3.3 is nice, but the main results are virtually identical to those already found in the literature: Eq. 9 is equivalent to Eq. 13 of Jeevanjee et al. 2021a, and Eq. 10 here is actually identical to Eq. 10 of Koll and Cronin 2018. While these papers and others are cited in general in the introduction, they are not mentioned when these specific results are derived, so readers may wonder whether or not these results differ at all from those already in the literature.
4. I found Eq. 15 and its interpretation below Eq. 16 confusing. How would one derive this? As far as I can tell, it is an exact expression for the TOA flux for an isothermal stratosphere at temperature T_cp overlying a surface with temperature T_sfc. I did not see a value-add to this section relative to existing treatments of simplified formulas for CO2 forcing (Wilson and Gea-Banacloche 2012, Jeevanjee et al. 2021b, Romps 2022 J. Clim.)
5. I found section 5.1 to be the most provocative and stimulating of the paper. I appreciate this alternative approach to thinking about how clouds interact with climate feedbacks, as well as the underappreciated point that warming clouds will radiate through the window just as the surface does. But, the idea that the ratio of cloud radiation increase to surface radiation increase (denoted \eta) might differ significantly from 1 hinges on the exact shape of \Lambda(T) in Fig. 5, which was derived under a variety of strong assumptions (no CO2, no pressure broadening, etc.). Furthermore, somewhat more comprehensive calculations, such as in McKim 2021 and Koll and Cronin 2018, show a reduced sensitivity of \Lambda to temperature, with values plateauing near 2 W/m^2/K over a large range of T_sfc. Indeed, the point of Koll and Cronin 2018 was to understand *why* \Lambda varied so little with T_sfc.
Minor comments1. I appreciated the discussion around line 210 that \lambda_cs is a quantity we understand.
2. I appreciated the argument around line 390 for a null hypothesis that the change in LWCRE with warming should be zero. This seems consistent with the fact that simulated changes in LWCRE are more or less symmetric about zero, e.g. Table 1 of Andrews, Gregory, and Webb 2015.
3. Eq. 24 for climate sensitivity is very nice, and a nice synthesis of recent developments.
4. line 323, \lambda_cs -> 0 : This does not occur in the presence of CO2 (Seeley and Jeevanjee 2021, Kluft et al. 2021)
5. How should Eq. 28 be interpreted? Also, note that the canonical forcing estimate of 3.7 W/m^2 includes not only cloud masking but stratospheric adjustment, the latter being a roughly 30% effect.
6. Line 310, "From Fig. 5, clouds with tops at 288 K will radiate twice as much energy per degree of warming than would the surface at 305 K." Again, the results of McKim 2021 and Koll and Cronin suggest this effect is more like a 40% increase (at an RH of 50%), not a doubling.
Citation: https://doi.org/10.5194/egusphere-2022-1460-RC1 -
RC2: 'Comment on egusphere-2022-1460', Anonymous Referee #2, 06 Feb 2023
This is a thought provoking paper and a good read. The most novel and interesting part is Section 5. The ealier sections essentially repeat earlier work by Jeevanjee and Romps (2018) etc. and Koll and Cronin (2018) etc.. I think it would make a really useful paper if it is rewritten to bridge better to past literature and focus on what is really new. My comments are below
1. Their spectral blocking apporach is new phrasing. However, such approaches have a long history in the radiative transfer literature, e.g. corrleated K codes and narrowband codes all split the spectrum into weak absorbing and strong absrobing spectral intervals - the tricky parts being those spectral intervals in between: which are often the same intervals that contribute most to forcing and feedback. I think the paper needs to say up front that we have radiative transfer models and radiative convective models that can solve things properly (at least the radaitive transfer parts can be solved), and what the paper is developing a simple concepts to help understand models and observational results?
2. I found the radiative forcing section quite weak. It seems to be a less complete vesion of work by Jeevanjee , Huang and others - it also missed important concepts such as stratospheric and other adjustments which significantly alter the forcing. I think it would be better just to cite other work when building your climate sensitivivty arguments.
3. I'm not sure how much spectral blocking is really needed for the aguments. A paper that should be cited and contrasted with is Hartmann et al. (2022) https://doi.org/10.1175/JCLI-D-21-0861.1. They develop very simiilar argument using a more general specrtal sensitivity concept.
4. I wanted to learn from the cloud feeback section how concepts such a the increase in height on avil coulds fair within the ideas presented - the same goes for decreases in stratocumulus decks. I feltthat it would be useful to spell these ou more explicitly.
5. I felt Section 5.3 on climate sensitivity was quite specultative and handwavy. It might be better to explore what would be neeeded to make the cloud feedback large and positive - or negative? Also I was not persuaded by the overlap with albedo feedback. The albedo feedback is mostly contintental , whereas the SW cloud feedback is mostly over the oceans....
Citation: https://doi.org/10.5194/egusphere-2022-1460-RC2 -
AC1: 'Comment on egusphere-2022-1460', Bjorn Stevens, 25 Mar 2023
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2023/egusphere-2022-1460/egusphere-2022-1460-AC1-supplement.pdf
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Cited
5 citations as recorded by crossref.
- Opinion: Tropical cirrus – from micro-scale processes to climate-scale impacts B. Gasparini et al. 10.5194/acp-23-15413-2023
- Climate Change Response of Tropical Atlantic Clouds in a Kilometer‐Resolution Model C. Heim & C. Schär 10.1029/2023JD038947
- Ground- and ship-based microwave radiometer measurements during EUREC4A S. Schnitt et al. 10.5194/essd-16-681-2024
- Fermi Resonance and the Quantum Mechanical Basis of Global Warming R. Wordsworth et al. 10.3847/PSJ/ad226d
- A colorful look at climate sensitivity B. Stevens & L. Kluft 10.5194/acp-23-14673-2023
Bjorn Stevens
Lukas Kluft
The requested preprint has a corresponding peer-reviewed final revised paper. You are encouraged to refer to the final revised version.
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