PInc-PanTher estimates of Arctic permafrost soil carbon under the GeoMIP G6solar and G6sulfur experiments
- 1College of Geography and Environment, Shandong Normal University, Jinan, 250014, China
- 2College of Global Change and Earth System Science, Beijing Normal University, Beijing, 100875, China
- 3CAS Center for Excellence in Tibetan Plateau Earth Sciences, Beijing, 100101, China
- 4Arctic Centre, University of Lapland, Rovaniemi, 96101, Finland
- 1College of Geography and Environment, Shandong Normal University, Jinan, 250014, China
- 2College of Global Change and Earth System Science, Beijing Normal University, Beijing, 100875, China
- 3CAS Center for Excellence in Tibetan Plateau Earth Sciences, Beijing, 100101, China
- 4Arctic Centre, University of Lapland, Rovaniemi, 96101, Finland
Abstract. Circum-Arctic permafrost represents a tipping element for the Earth's climate system that must be maintained to avoid catastrophic climate change. Solar geoengineering (SG) has the potential to slow Arctic temperature rise by increasing planetary albedo, but could also reduce tundra productivity. Here, we improve the data-constrained PInc-PanTher model of permafrost carbon storage by including estimates of plant productivity and rhizosphere priming on soil carbon. Six earth system models are used to drive the model, running two SG schemes (G6solar and G6sulfur), and scenarios with substantive (SSP2-4.5) and no (SSP5-8.5) mitigation efforts. By 2100, simulations indicate that the permafrost area is expected to decrease by 9.2±0.4 (mean ± standard error), 5.6±0.4, 5.8±0.3, and 6.1±0.4 million km2 and soil carbon loss will be 81±8, 47±6, 37±11, and 43±9 Pg under SSP5-8.5, SSP2-4.5, G6solar and G6sulfur, respectively. Uncertainties in permafrost soil C loss estimates arise mainly from changes in vegetation productivity due to climate warming and CO2 fertilization. The increased input flux from vegetation to soil raises, while the priming effects of root exudates lowers soil C storage conservation, with the net effect mitigating soil C loss. Despite model differences, the protective effects of the G6solar and G6sulfur experiments on permafrost area and soil carbon storage are consistent and significant at the 95 % level for all six ESM. SG mitigates ~1/3 of permafrost area loss and halves carbon loss for SSP5-8.5, averting about $20 trillion in economic losses by 2100 and might provide a sustainable income stream for the Arctic population.
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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.
Journal article(s) based on this preprint
Aobo Liu et al.
Interactive discussion
Status: closed
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RC1: 'Reviewer Comments: PInc-PanTher estimates of Arctic permafrost soil carbon under the GeoMIP G6solar and G6sulfur experiments', Anonymous Referee #1, 04 Oct 2022
The authors use the PInc-PanTher tool to analyze the simulated effects of solar geoengineering (SG) on permafrost carbon. The authors consider six different Earth system models (ESMs) and four different scenarios: moderate emissions (SSP2-4.5), high emissions (SSP5-8.5), high emissions with dimmed sunlight (G6solar) and high emissions with stratospheric aerosol injection, or SAI (G6sulfur). The authors quantify permafrost area, carbon stocks, and economic impacts in each case, and they find that all six ESMs show statistically significant impacts in both SG scenarios.
I thank the authors for the opportunity to review their work. The permafrost-carbon-climate feedback is a critical yet relatively ill-quantified consequence of global warming, and the possible impacts of SG on permafrost carbon are even less well understood. To my knowledge, there have been very few multi-model analyses of the potential effects of SG on permafrost, and this one is well-designed and well-written. My comments are relatively minor, and they largely address word choice, grammar, and clarity. I recommend the manuscript be accepted for publication with minor revisions, and I do not feel it necessary for me to review it again. Specific comments are included in the attached document.
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AC1: 'Reply on RC1', Aobo Liu, 25 Dec 2022
We would like to thank the Anonymous Referee #1 for the appreciation of the main advances of our work. We would also like to thank for all the constructive comments and valuable suggestions, which have helped us to improve the quality of the manuscript. For each question and comment, we gave point-by-point response and made additions and revisions to the manuscript. Please see the attached response.
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AC1: 'Reply on RC1', Aobo Liu, 25 Dec 2022
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RC2: 'Comment on esd-2022-44', Anonymous Referee #2, 15 Nov 2022
Overall this is a good contribution, and most of my comments are with regards to the clarity of presentation (including the current version leaving out a few details that are important). Some of this is simply that as written it implicitly is stating the results of this study as if they were statements about solar geoengineering more generally, vs statements about this particular strategy (tropical injection) in this particular scenario (cooling back down only to SSP2-4.5 levels, so that the global mean temperature continues to increase, just more slowly). Relevant to that it might be useful to try and make some statements in the conclusions about what one might expect to see in other cases, e.g., if SRM were used to hold global mean temperature constant, what would happen; if injection was done at higher latitudes… obviously you can’t actually say that without having looked at those simulations, but you could potentially comment at least enough to make it clear that the answers will ultimately depend on the implementation.
- L11, SG could slow, could also stop it if one wanted, could even reverse it if one wanted. Why implicitly exclude these other options? (This is written as a generic statement, not a statement about the specific simulations you conducted.)
- L14-15, I know what you mean but someone unfamiliar with G6 might not realize that the SG is *only* applied for the SSP585. Nor might it be clear to a reader that in these scenarios, SG is used not to stop warming but only to reduce it to SSP2-4.5 levels – this is important context for the conclusions! (Given that G6 appears to roughly restore permafrost conditions to SSP2-4.5 levels also, one might reasonably infer that had more SG been used, one could prevent any further permafrost loss should one choose to.) Nor would a non-SG reader know that G6solar is a solar reduction and G6sulfur is stratospheric sulfate aerosols. (The abstract should be interpretable by people who are not already intimately familiar with GeoMIP scenarios.)
- L15-18, I don’t think these numbers are useful to anyone who doesn’t already know what G6 scenarios are (per above comment). Might be more useful to say that sufficient SG to yield global mean temperatures consistent with the SSP2-4.5 pathway under SSP2-8.5 CO2 concentrations also leads to permafrost area and soil carbon not statistically significantly different from those under SSP2-4.5, either under solar dimming or stratospheric aerosols.
- L21-23, (i) The first part of this conclusion is not correct as written, because it is written as if it is a generically true statement about SG rather than a statement about this particular scenario. A reader might reasonably infer that SG actually couldn’t do more than this, because that is what the sentence as written (making it a generic statement) implicitly says. I would assume from your results that SG could mitigate all the area loss and carbon loss if we wanted. (ii) the last part of the sentence about an income stream for the Arctic population doesn’t seem like a scientific statement but a guess. This isn’t an economics or IR paper. (Personally I don’t have a problem speculating on this in the conclusions, but highlighting that level of speculation in the abstract of what is otherwise a scientific paper feels a bridge too far.)
- L29, missing close quotation. (Plus, there’s been fair criticism of continuing to call 5-85 as BAU given the existence of policy changes and pledges; labeling it BAU is inconsistent with the first line of the intro.)
- L48 is written as if these are alternatives; the point about speed is appropriate but wording could be improved to avoid framing as an either/or. Ditto L51.
- L55… I think it would be worth defining GeoMIP somewhere in the definition of G4. I guess you do in the next paragraph…
- L63… was the target of G6 the radiative forcing, or global mean temperature? (I honestly forget, and I’m on an airplane and not bothering to pay for wifi, so can’t look it up.)
- L64, repeated “more”. But more to the point, this would be a great opportunity to comment on the obvious scenario dependence (including not just the amount of cooling, but things like latitudes of injection). Ultimately (future paper of course) would be good to look at some of the more recent simulations still…
- L110, should define TSL, NPP, and GPP. (Even if I know what they are… other readers might not)
- Figures 1-3, when I can’t see the G6solar line, is it under G6sulfur?
- L170, why is 2015-19 in equilibrium?
- Section 2.3 more generally… there are certainly some assumptions that go into this model; it might be useful somewhere to give some indication for which ones importantly affect results and which don’t, and how significantly they affect things. (E.g., if the 2.5-fold increase for 10C change was 2.0, or 3.0, would that radically change conclusions? Is that sort of uncertainty likely?)
- Section 2.4, there will be some rather critical assumptions in here too, which aren’t even stated. Like ratio of C emitted as CO2 vs CH4. Or the discount rate. Again, it’s ok to refer to published literature, but giving some context (to save us from looking things up) would be useful, and to the extent possible worth acknowledging degree of uncertainty.
- L205-6, minor quibble, but could you put the RCP8.5 and 4.5 in the same order as in the previous sentence?
- L211-214, not sure the G6solar vs sulfur results are even statistically significant, but worth saying more here. When people ran the simulations to achieve SSP2-4.5 temperatures (or RF), were the global mean values for G6solar the same as G6sulfur? (That is, some effect could simply be how well they executed the G6 protocol.) Or, if the modelers perfectly balanced RF in each case, did that also manage temperature equally well in both cases? Second, for same global mean temperature under the two, is the typical overcooling of tropics / undercooling of high latitudes the same for the solar and sulfur simulations? (Given that AOD is likely higher in the tropics for the specific G6 protocol, I might expect more tropical overcooling than for G6solar, leading to a physical reason why G6sulfur as specified might be worse than G6solar for permafrost, but that would be a result of the G6 specification, not a feature inherent to SAI vs solar reduction, indeed SAI would presumably give more flexibility to alter latitudinal dependence.) Or, is any difference between G6solar and G6sulfur due to something associated with the aerosols themselves somehow? (E.g., assumptions in the land model and how it handles direct to diffuse light.) I think it would be both easy and important to check the first two possible sources of difference. It would also be worth pointing out somewhere that G6sulfur assumes tropical injection, which tends to undercool high latitudes relative to low, and that that is a choice; that other choices for injection latitude might do relatively more cooling at higher latitudes.
- L273-274, is that RPE statement for all cases? (It follows a sentence about G6; unclear whether it is intended to be specific to that)
- L281… the changed direct and diffuse ratio is only present in G6sulfur yet the sentence talks about both. (Also, relevant to that, do you know how the land models in the various models handles direct to diffuse ratio for driving vegetation?)
- And Figure 9… wow, that’s remarkable! I suppose not really that relevant here, but noting that CESM G6sulfur does show the “over” cooling in summer as suggested by Jiang et al.
- L319, are the conclusions very sensitive to this highly-uncertain numbr?
- L326, whoa… I think you need to say more than just “various”. What parameters did you change, and why, and for what range? Are you coming up with a range of carbon emissions (in which case, shouldn’t it be in the previous section)? Or just a range of economic damages for a given carbon? (in which case, are you missing the dominant uncertainties?)
- L356, again, the statement here is worded as a generic thing (as if “implementation of SG” was a binary choice, rather than something that one could do more or less of, as well as depending on latitude of injection)
- L358, but now, for costs, you specify G6 and then say it depends on scenario? This is not well worded… (that is, the “G6 scheme” I think means specifically following G6, i.e., for SSP5-8.5 emissions, with a target of 2-4.5 levels, using tropical injection. If you meant SAI more generally, you should say that).
- L360… considerable economic benefits even if only the permafrost carbon is included in the calculation!
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AC3: 'Reply on RC2', Aobo Liu, 25 Dec 2022
We would like to thank the Anonymous Referee #2 for all the constructive comments and valuable suggestions on the previous version of the manuscript, which have helped us to improve the quality of the manuscript. We have brought in more discussion on the more polar-targeted injection schemes that have bene published and emphasized the difference with the G6 tropical injections. For each question and comment, we gave point-by-point response and made additions and revisions to the manuscript. Please see the attached response.
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RC3: 'Comment on esd-2022-44', Anonymous Referee #3, 16 Nov 2022
This is a really interesting study. The authors have done a careful job and obtained some interesting results. I think that most of this is well done, but I am recommending some revisions.
My main issue is the econometrics section where you’re computing socioeconomic benefits. I’m fine with what you’ve done, but I think you need to be more careful in your descriptions. There may be socioeconomic harms (or other unforeseen benefits) that you’re not discussing because those are not captured in your model. Statements in your abstract like “averting about $20 trillion in economic losses” does not communicate this uncertainty and conveys way too much confidence. There are other examples in the paper that need similar attention.
Relatedly, your 90% confidence intervals for economic benefits are approximately $0-70 trillion. Does that mean there is no possibility of harm (negative values)? That requires justification.
Figures 1-3: It’s hard to see differences between the top and bottom rows. Can you add a third row showing the differences?
Lines 360-361: Stating that Indigenous people should consider geoengineering “with urgency” when they’re not the ones capable of deploying geoengineering smacks of colonialism.
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AC2: 'Reply on RC3', Aobo Liu, 25 Dec 2022
We would like to thank the Anonymous Referee #3 for the appreciation of the main advances of our work. For each question and comment, we gave point-by-point response and made additions and revisions to the manuscript. Please see the attached response.
-
AC2: 'Reply on RC3', Aobo Liu, 25 Dec 2022
Peer review completion


Interactive discussion
Status: closed
-
RC1: 'Reviewer Comments: PInc-PanTher estimates of Arctic permafrost soil carbon under the GeoMIP G6solar and G6sulfur experiments', Anonymous Referee #1, 04 Oct 2022
The authors use the PInc-PanTher tool to analyze the simulated effects of solar geoengineering (SG) on permafrost carbon. The authors consider six different Earth system models (ESMs) and four different scenarios: moderate emissions (SSP2-4.5), high emissions (SSP5-8.5), high emissions with dimmed sunlight (G6solar) and high emissions with stratospheric aerosol injection, or SAI (G6sulfur). The authors quantify permafrost area, carbon stocks, and economic impacts in each case, and they find that all six ESMs show statistically significant impacts in both SG scenarios.
I thank the authors for the opportunity to review their work. The permafrost-carbon-climate feedback is a critical yet relatively ill-quantified consequence of global warming, and the possible impacts of SG on permafrost carbon are even less well understood. To my knowledge, there have been very few multi-model analyses of the potential effects of SG on permafrost, and this one is well-designed and well-written. My comments are relatively minor, and they largely address word choice, grammar, and clarity. I recommend the manuscript be accepted for publication with minor revisions, and I do not feel it necessary for me to review it again. Specific comments are included in the attached document.
-
AC1: 'Reply on RC1', Aobo Liu, 25 Dec 2022
We would like to thank the Anonymous Referee #1 for the appreciation of the main advances of our work. We would also like to thank for all the constructive comments and valuable suggestions, which have helped us to improve the quality of the manuscript. For each question and comment, we gave point-by-point response and made additions and revisions to the manuscript. Please see the attached response.
-
AC1: 'Reply on RC1', Aobo Liu, 25 Dec 2022
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RC2: 'Comment on esd-2022-44', Anonymous Referee #2, 15 Nov 2022
Overall this is a good contribution, and most of my comments are with regards to the clarity of presentation (including the current version leaving out a few details that are important). Some of this is simply that as written it implicitly is stating the results of this study as if they were statements about solar geoengineering more generally, vs statements about this particular strategy (tropical injection) in this particular scenario (cooling back down only to SSP2-4.5 levels, so that the global mean temperature continues to increase, just more slowly). Relevant to that it might be useful to try and make some statements in the conclusions about what one might expect to see in other cases, e.g., if SRM were used to hold global mean temperature constant, what would happen; if injection was done at higher latitudes… obviously you can’t actually say that without having looked at those simulations, but you could potentially comment at least enough to make it clear that the answers will ultimately depend on the implementation.
- L11, SG could slow, could also stop it if one wanted, could even reverse it if one wanted. Why implicitly exclude these other options? (This is written as a generic statement, not a statement about the specific simulations you conducted.)
- L14-15, I know what you mean but someone unfamiliar with G6 might not realize that the SG is *only* applied for the SSP585. Nor might it be clear to a reader that in these scenarios, SG is used not to stop warming but only to reduce it to SSP2-4.5 levels – this is important context for the conclusions! (Given that G6 appears to roughly restore permafrost conditions to SSP2-4.5 levels also, one might reasonably infer that had more SG been used, one could prevent any further permafrost loss should one choose to.) Nor would a non-SG reader know that G6solar is a solar reduction and G6sulfur is stratospheric sulfate aerosols. (The abstract should be interpretable by people who are not already intimately familiar with GeoMIP scenarios.)
- L15-18, I don’t think these numbers are useful to anyone who doesn’t already know what G6 scenarios are (per above comment). Might be more useful to say that sufficient SG to yield global mean temperatures consistent with the SSP2-4.5 pathway under SSP2-8.5 CO2 concentrations also leads to permafrost area and soil carbon not statistically significantly different from those under SSP2-4.5, either under solar dimming or stratospheric aerosols.
- L21-23, (i) The first part of this conclusion is not correct as written, because it is written as if it is a generically true statement about SG rather than a statement about this particular scenario. A reader might reasonably infer that SG actually couldn’t do more than this, because that is what the sentence as written (making it a generic statement) implicitly says. I would assume from your results that SG could mitigate all the area loss and carbon loss if we wanted. (ii) the last part of the sentence about an income stream for the Arctic population doesn’t seem like a scientific statement but a guess. This isn’t an economics or IR paper. (Personally I don’t have a problem speculating on this in the conclusions, but highlighting that level of speculation in the abstract of what is otherwise a scientific paper feels a bridge too far.)
- L29, missing close quotation. (Plus, there’s been fair criticism of continuing to call 5-85 as BAU given the existence of policy changes and pledges; labeling it BAU is inconsistent with the first line of the intro.)
- L48 is written as if these are alternatives; the point about speed is appropriate but wording could be improved to avoid framing as an either/or. Ditto L51.
- L55… I think it would be worth defining GeoMIP somewhere in the definition of G4. I guess you do in the next paragraph…
- L63… was the target of G6 the radiative forcing, or global mean temperature? (I honestly forget, and I’m on an airplane and not bothering to pay for wifi, so can’t look it up.)
- L64, repeated “more”. But more to the point, this would be a great opportunity to comment on the obvious scenario dependence (including not just the amount of cooling, but things like latitudes of injection). Ultimately (future paper of course) would be good to look at some of the more recent simulations still…
- L110, should define TSL, NPP, and GPP. (Even if I know what they are… other readers might not)
- Figures 1-3, when I can’t see the G6solar line, is it under G6sulfur?
- L170, why is 2015-19 in equilibrium?
- Section 2.3 more generally… there are certainly some assumptions that go into this model; it might be useful somewhere to give some indication for which ones importantly affect results and which don’t, and how significantly they affect things. (E.g., if the 2.5-fold increase for 10C change was 2.0, or 3.0, would that radically change conclusions? Is that sort of uncertainty likely?)
- Section 2.4, there will be some rather critical assumptions in here too, which aren’t even stated. Like ratio of C emitted as CO2 vs CH4. Or the discount rate. Again, it’s ok to refer to published literature, but giving some context (to save us from looking things up) would be useful, and to the extent possible worth acknowledging degree of uncertainty.
- L205-6, minor quibble, but could you put the RCP8.5 and 4.5 in the same order as in the previous sentence?
- L211-214, not sure the G6solar vs sulfur results are even statistically significant, but worth saying more here. When people ran the simulations to achieve SSP2-4.5 temperatures (or RF), were the global mean values for G6solar the same as G6sulfur? (That is, some effect could simply be how well they executed the G6 protocol.) Or, if the modelers perfectly balanced RF in each case, did that also manage temperature equally well in both cases? Second, for same global mean temperature under the two, is the typical overcooling of tropics / undercooling of high latitudes the same for the solar and sulfur simulations? (Given that AOD is likely higher in the tropics for the specific G6 protocol, I might expect more tropical overcooling than for G6solar, leading to a physical reason why G6sulfur as specified might be worse than G6solar for permafrost, but that would be a result of the G6 specification, not a feature inherent to SAI vs solar reduction, indeed SAI would presumably give more flexibility to alter latitudinal dependence.) Or, is any difference between G6solar and G6sulfur due to something associated with the aerosols themselves somehow? (E.g., assumptions in the land model and how it handles direct to diffuse light.) I think it would be both easy and important to check the first two possible sources of difference. It would also be worth pointing out somewhere that G6sulfur assumes tropical injection, which tends to undercool high latitudes relative to low, and that that is a choice; that other choices for injection latitude might do relatively more cooling at higher latitudes.
- L273-274, is that RPE statement for all cases? (It follows a sentence about G6; unclear whether it is intended to be specific to that)
- L281… the changed direct and diffuse ratio is only present in G6sulfur yet the sentence talks about both. (Also, relevant to that, do you know how the land models in the various models handles direct to diffuse ratio for driving vegetation?)
- And Figure 9… wow, that’s remarkable! I suppose not really that relevant here, but noting that CESM G6sulfur does show the “over” cooling in summer as suggested by Jiang et al.
- L319, are the conclusions very sensitive to this highly-uncertain numbr?
- L326, whoa… I think you need to say more than just “various”. What parameters did you change, and why, and for what range? Are you coming up with a range of carbon emissions (in which case, shouldn’t it be in the previous section)? Or just a range of economic damages for a given carbon? (in which case, are you missing the dominant uncertainties?)
- L356, again, the statement here is worded as a generic thing (as if “implementation of SG” was a binary choice, rather than something that one could do more or less of, as well as depending on latitude of injection)
- L358, but now, for costs, you specify G6 and then say it depends on scenario? This is not well worded… (that is, the “G6 scheme” I think means specifically following G6, i.e., for SSP5-8.5 emissions, with a target of 2-4.5 levels, using tropical injection. If you meant SAI more generally, you should say that).
- L360… considerable economic benefits even if only the permafrost carbon is included in the calculation!
-
AC3: 'Reply on RC2', Aobo Liu, 25 Dec 2022
We would like to thank the Anonymous Referee #2 for all the constructive comments and valuable suggestions on the previous version of the manuscript, which have helped us to improve the quality of the manuscript. We have brought in more discussion on the more polar-targeted injection schemes that have bene published and emphasized the difference with the G6 tropical injections. For each question and comment, we gave point-by-point response and made additions and revisions to the manuscript. Please see the attached response.
-
RC3: 'Comment on esd-2022-44', Anonymous Referee #3, 16 Nov 2022
This is a really interesting study. The authors have done a careful job and obtained some interesting results. I think that most of this is well done, but I am recommending some revisions.
My main issue is the econometrics section where you’re computing socioeconomic benefits. I’m fine with what you’ve done, but I think you need to be more careful in your descriptions. There may be socioeconomic harms (or other unforeseen benefits) that you’re not discussing because those are not captured in your model. Statements in your abstract like “averting about $20 trillion in economic losses” does not communicate this uncertainty and conveys way too much confidence. There are other examples in the paper that need similar attention.
Relatedly, your 90% confidence intervals for economic benefits are approximately $0-70 trillion. Does that mean there is no possibility of harm (negative values)? That requires justification.
Figures 1-3: It’s hard to see differences between the top and bottom rows. Can you add a third row showing the differences?
Lines 360-361: Stating that Indigenous people should consider geoengineering “with urgency” when they’re not the ones capable of deploying geoengineering smacks of colonialism.
-
AC2: 'Reply on RC3', Aobo Liu, 25 Dec 2022
We would like to thank the Anonymous Referee #3 for the appreciation of the main advances of our work. For each question and comment, we gave point-by-point response and made additions and revisions to the manuscript. Please see the attached response.
-
AC2: 'Reply on RC3', Aobo Liu, 25 Dec 2022
Peer review completion


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Aobo Liu et al.
Aobo Liu et al.
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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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