Review of “Constraining the time of emergence of anthropogenic signal in the global land carbon sink” by Na Li et al

This paper considers the time of emergence of 3 key variables in the global land carbon sink and shows how dynamical adjustment can be used to shorten the detection time. While the paper is interesting and provides a important study in the literature I have a few major concerns around the methodology and lack of observational evidence. As such, I recommend major revisions.

Major comments

1. The most major issue with the paper is the methods, which use linear trends to calculate ToE. This is not the typical method found in other studies such as: https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2019GB006453 for large ensembles and https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2011gl050087 for the standard method.

It clear from the Figure timeseries that a linear fit is not appropriate for this data.

Additionally presenting ToE of 800 years, when the timeseries is only 100-years is confusing and extrapolation. If the signal has not emerged by the end of the timeseries I suggest presenting this as not emerged rather than extrapolating.

2. This method is used typically to understand when we might expect to observe changes outside the noise. However, the paper has no observational evidence in it. I suggest comparing to any observations we have.

3. The % reductions from the dynamical adjustment might be good to include as years as well as % as this is easier to understand. For the dynamical adjustment it is unclear whether this method could be applied to observations to reduce the TOE or just models. I suggest adding this information in the text.

4. I am confused abut use of 2020-2050 for N and 2020-2070 for S what make this choice? This seems very arbitrary

5. Figures

Figure 1: You could easily include all NBP, GPP and TER on one figure – I would recommend this rather than push some to the supplementary. I also suggest adding a multi-ensemble mean panel. The ensemble sizes seem rather arbitrary. For example ACCESS has 40 members and CESM2 100 members – so why are they only 38 and 90? Additionally CESM2 biomass burning runs have been shown to be different to the cmip6 runs have you checked these differences?

Figure 2:

Suggest adding a multi-ensemble mean to each panel – this suggestion is for all Figures. For this figure is it showing TOE = years post 1960? can this be clear in the caption please. Additionally what does ‘the spatial domains are slightly changed’ mean?

Figure 3 – Is this really resolution? i.e. is it the same area regridded to a different resolution or is it a different spatial domain?

Figure 5: there seem to be missing bars where only the light or shaded box is there? What happened to the other box?

A lot of content discussed is in the appendix figures – I wonder if more should be in the main text

6.

Paper is missing a discussion section

7. Section 3.1 – the noise could be easily quantified rather than discussed qualitatively

Minor comments

Title should be ‘the anthropogenic signal’

Intro

Line 1 ‘the’ atmospheric CO2

Line 2 – this is not driven by climate change, more likely it is driven by processes related to climate change please be specific here

line 6 replace by with from

Line 13 – it is odd to have a 1 sentence paragraph – this sentence is also unclear can you please rephrase

Line 16 – remove ‘allows to’ replace shorten with ‘shortens’

Line 18 – replace on with ‘of’

Line 30 – should be ‘temperature, and precipitation’

Line 33 – replace by with ‘on’

Line 33 – the paragraph starting on this line is hard to parse, I suggest rewriting

Line 47 – can differ substantially from what? Please be specific

Line 50 – a good example of this is found in this paper: https://egusphere.copernicus.org/preprints/2024/egusphere-2024-3684/

Line 53 – I would end this sentence with ‘orividing a challenge because …’

Line 65 – this section is missing two key references: https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2019GB006453, https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2011gl050087

Line 73 – odd use of the word ‘need’

Methods

Line 81 – in this section please add the number of ensemble members from each model

Line 82 – CESM2 is part of CMIP6

Line 84 – this is the correct citation for MPI-ESM1-2-LR large ensemble: https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2023MS003790

Line 125 – this is for CESM2 what about the other models?

Line 133 – what about the SSPs

Line 134 – how do you calculate N do you pool the data? Do you take the STD of each member and average? Please provide this detail

Line 137 – please add what 2N/S means in terms of significance of the emergence

Line 147 – would 500mb geopotential height be a better proxy for circulation than SLP?

Line 168 – you interchange ‘ToE’ and ‘time to detect’ this is confusing please stick to one terminology

Results:

Line 213 – similar patters to what? Each other?

Line 230 – grammer please fix ‘takes shorter’

Line 232 – please like with ‘such as’

Line 233/234/236 – please reference the figures that you are discussing in this section

Line 233 – remove ‘is apparently’

Line 240 – is this statement true – I do not make the same conclusion from the Figure

Conclusions:

Line 293 – you should be able to quantify if this is due to larger noise or not from your results not just speculate

Line 315 – can be detected how? There are no observations in the paper

General Comments

The manuscript examines the Time of Emergence (ToE) in both historical and future simulations derived from Earth System Models (ESMs), analyzing their spatial patterns and applying a dynamic adjustment approach to reduce the influence of circulation variability and thereby shorten detection time. The study addresses an important topic with potential implications for early climate change detection. However, the manuscript would benefit from a clearer explanation of the methods section and the addition of a dedicated discussion section. Several figures could also be improved to enhance clarity and interpretability. So I suggest a minor revision before the publication.

Specific comments

Title:

The use of the word “constraining” in the title may be somewhat misleading, as the manuscript primarily focuses on examining the Time of Emergence (ToE) and detection approaches, rather than directly constraining ToE. Consider revising the title to better reflect the core content and objectives of the study.

Methods: 

Line 140: The meaning of "dynamic" in this context could be clarified. Is it related to dynamically adjusting the time window of the time series? Additionally, the connection between ridge regression and dynamic adjustment is unclear—does ridge regression serve as a method of dynamic adjustment here?

Line 235: This paragraph appears to overlap in content with the one beginning at line 219. Consider merging or clarifying to avoid redundancy.

Section 2.4: The calculation of signal (S) and noise (N) would be clearer if accompanied by explicit equations and provided why linear regression is suitable for this purpose. Is S calculated as the slope of the regression of annual mean NBP versus year? And is N the standard deviation across all years (e.g., 1930–1959), or computed year-by-year? The definition of the time window in this section also seems inconsistent with the earlier discussion in Section 2.1.3. Further clarification would be helpful.

Line 178: Are the reported values global means? It would be useful to clarify whether the reduction in detection time applies across all pixels in the study area or only a subset. Additionally, do the same regions show a reduction after adjustment compared to before?

Line 182: Please confirm whether V₀ refers to the original ToE value or some other values. If it is the ToE value, the sentence could be rephrased for improved clarity:

“VR is the residual after the circulation-induced variability estimated by the ridge regression model is removed.”

→ “VR is the ToE estimated from the residual time series after removing circulation-induced variability using the ridge regression model.”

Results: 

Section 3.3: It might be more effective to show the future ToE results (currently in supplementary) as the main figure for this section, given that Section 3.3 primarily discusses ToE. Including such a figure could better support the narrative and conclusions.

Figure Clarifications

Figure 3: It would be helpful to include a legend or figure caption clarification for the lines shown. Indicating the meaning of the lines, units used for ToE, and spatial resolution would enhance the figure’s interpretability.

Figure 5: The legend and color scheme are somewhat difficult to interpret. Consider using a more intuitive design—e.g., solid boxes for the original time series and hatched or patterned boxes for the residuals.

Grammar/typo errors

Line 142: “circulation” → “Circulation”

Lines 152–157: Please revise for grammar. 

Lines 168–169 and 174: These sentences contain grammatical issues and should be revised for clarity.

Line 102: “10distinct” → “10 distinct”