Review of the manuscript “Warm conveyor belt activity over the Pacific: Modulation by the Madden-Julian Oscillation and impact on tropical-extratropical teleconnections” by Quinting et al.

The authors investigate the sensitivity of the warm conveyor belts activity in the North Pacific to the different Madden-Julian Oscillation phases and El Niño Southern Oscillation, how the tropics-extratropics teleconnection associated withe MJO is modulated by the WCB activity, and if an idealised general circulation model can reproduce the teleconnection and its modulations. Overall, the manuscript is interesting and well written, the methods used appropriate, and the topic fits the scopes of the journal. My main remark concerns the idealised simulations, which would greatly benefit from a better description. I would recommend publication after minor revisions associated with my comments listed here after, following the order of the manuscript.

Line 42: Could the following more recent references also be appropriate here?

Jiang et al. (2016): The relationship between the Madden–Julian Oscillation and the North Atlantic Oscillation https://doi.org/10.1002/qj.2917

Fromang and Rivière (2020): The Effect of the Madden–Julian Oscillation on the North Atlantic Oscillation Using Idealized Numerical Experiments https://doi.org/10.1175/JAS-D-19-0178.1

Lines 60-61: “Warm conveyor belts (WCBs) are rapidly, mostly poleward ascending airstreams in the storm track regions…” As written in the next sentence, WCBs originate in the warm sector of the cyclones. Therefore, I suggest to replace “in the storm track regions” with something like “within mid-latitudes cyclones” or “within mid-latitudes cyclonic systems”.

Lines 106-107: Could the authors provide an explanation about the “matching” between WCBs (or the trajectories) and the cyclones mask? What is performed at this stage is no clear. Does it select all ascending trajectories starting within the cyclone mask? Is there also a warm sector mask? Is it assumed that all ascending trajectories overlapping a cyclone mask will start in the warm sector?

Section 2.4: It is not clear how the MJO days/events are treated. Are the authors detecting events with the first day of the event being day 1 of pentad 0 (or lag 0)? Are the authors using all days with RMM index greater than 1 as first days of pentads (or lag0)? Please clarify.

In addition, no indication is given on the number of events or days considered in each composite, especially Fig. 1. Please provide these numbers.

Section 2.8: I find that the description of the idealised simulations could be improved:

- It seems that the imposed heating in the tropics or extratropics covers all longitudes and not only the specific range of longitudes associated with the MJO phases. Is it true? If yes, the authors should explain why they did that and how this is a “realistic heating”.

- The latitudinal range of the heating anomalies should be provided.

- Line 195: In several places, I found the use of “diabatic heating” confusing as the authors use a dry atmospheric model. Here, I would replace “The diabatic heating is derived from ERA-Interim precipitation anomalies” with “The imposed heating mimics the diabatic heating derived from ERA-Interim precipitation anomalies”.

- Line 201: same comment as above for “anomalous diabatic heating imposed”. The authors impose a heating, not a diabatic heating.

- How long are the simulations? 10 days to get two pentads?

Line 223: “into upper-tropospheric ridges”: The ridge does not seem well pronounced especially for phase 3 and there is no positive anomaly of Z300 (contrary to what is seen for phase 7 in Fig. 1l). Please check your sentence.

Lines 223-224: It is not clear what the authors mean with this sentence, especially as there is no notion of velocity in Fig. 1, and how to relate what it says to Fig. 1.

Line 225: Figs. 1g-k -> Fig. 1g,h,j,k

Line 263: Here, I would refer to Fig. 2 instead of Fig. 1 as the authors are now using the CNN-based data.

Line 275: I would add that in addition to being weaker, the anomalies are also less persistent for phases 2 and 3 especially.

Longitude/latitude values (lines 321, 333, 336): these locations are a bit difficult to identify on the figures as there are no lon/lat labels on the figures. Please consider adding some or add in the captions what the grid lines refer to.

Line 330: “enhance the ascent of WCBs” -> “enhance the ascent frequency of WCBs”.

Line 354: “anomalous ridge” I do not see a ridge. Do the authors mean a positive anomaly? 

Line 361: “of the Azores high,” Please add a reference to Fig. 7a,c and Fig. 7d for the high WCB activity.

Line 362: Add reference to Fig. 7b.

Line 399: “diabatic” In line with a previous comment above, I find the use of “diabatic heating” here confusing. 

Line 400: “The diabatic heating”. It is not clear here to which data the authors refer to. I suspect they write about the reanalyses (and not the idealised simulations). If so, change the start of the sentence to “In ERA-Interim, the diabatic heating ….”. Otherwise, clarify.

Lines 407-408: It is not clear to me what the authors mean here. Do they add heating in all areas with anomalous precipitation in ERA-Interim or at all longitudes regardless of the precipitations anomalies? In the first case, what threshold in precipitation anomalies is used (>0)? Please clarify here and in the methods section.

Lines 428-429 and 436-438: the authors attribute the differences between ERA-Interim and the idealised simulations to the different state of the atmosphere at the initial time between the simulation and the reanalysis. Could not the different Z300 anomalies be also linked to the atmospheric internal variability, ERA-Interim being just one possible realisation? Have you found an ensemble member giving the same result as ERA-Interim (here Fig. 7f but applies to all composites shown in Fig. 7)?

Line 494: “diabatic heating”: again the model is forced by an anomalous heating somewhere and not by diabatic heating because diabatic heating does not exist in a dry model, does it? Please rephrase.

Figures 3 and 4: I suggest to merge Figs. 3 and 4 to make the comparison between them easier. If they are not displayed on the same page, one cannot look at them at the same time and the comparison is difficult.

This study investigates the role of warm conveyor belts in modulating the teleconnection patterns associated with the MJO. A key result is that the link between the MJO and the NAO is substantially moderated by the frequency of occurrence of WCBs. Overall I find the manuscript well-concieved, clearly written, and scientifically sound. I recommend publication with minor revisions. Comments below.

Main comments:

- The focus on limited MJO phases was useful but why not group them (phase 2-3, phase 6-7) for simplicity of presentation? It seems unnecesary to focus on each phase individually. 

- The use of idealised experiments is really interesting, and should be insightful but I struggled to understand the patterns described. The results of fig 7 and fig 9 were quite distinct. A little more text elaborating the differences may be helpful. 

- While it seems clear that there is a  forward lag relationship between MJO and large-scale extratropical states modulated by WCB activity you only look forwards, which implicitly suggests a causal relationship. Are there no backward lag relationships?

- The substantial intra-MJO phase variability of WCB activity is not explained. Is this unavoidable weather noise, or is it also predicted by large-scale states of the atmosphere? e.g. the modes you considered.

Specific comments:

L8: It's not clear to me what aspect of La Nina enhances poleward moisture fluxes. Is it dynamic or thermodynamic? The Rossby gyres associated with MJO should exist regardless?

L149: detrended ONI?

Section 2.7: I don't think you have mentioned in the text anywhere the sample sizes. Can you put that detail here? especially when subsetting beyond MJO phase.

L202: Can you show somewhere the pattern of anomalous heating applied? Since you derived these using composites of MJO phase, wouldn't these heating anomalies derived from ERA-Interim also implicitly contain a signature of the resulting WCB and other teleconnection associated convection?

L211: can you remind us how many events?

L247: But the signal over north Atlantic is quite a bit stronger in the CNN approach. Why? Is there an obvious reason why the col 3 in Fig 1 is not shown for CNN method in Fig 2?

L257: is it an illusion, or do the WCB freq anomalies appear to propagate against the MJO phases? Diagonal structure in Fig 3 and 4. And do the outflow freq show the same structure?

L287: not sure you've justified the use of the word "linearly" here... are you basing this on qualtitative comparisons of fig 3 and 4, or quantitative comparison e.g. is 4c minus 4a very similar 4d minus 4b?

L306: what fraction of WCBs are ARs? or are WCBs a subset of ARs?

Section 3.5: Are WCBs quanitatively and qualitatively comparable in the idealised GCM and the real world?

L400: Perhaps worth reminding us at this point what the main approximations are in this idealised GCM?

L404: "not shown" I think you base statements on this point in the conclusions. If its so important then why not show it?

L453: Are they really separable like this? If you take identified ARs and WCBs do WCBs start where ARs end? Or are they just focusing on different parts of the same feature (poleward advection) of extratropical cyclones?

L488: Here and elsewhere in the conclusion section, can you repeat the questions for the reader? The repetition may seem redundant to you as its your content, but for readers it is useful and clarifies the utility of the results described.

L492: In this paragraph can you elaborate on the causal connection between latent heat release and ridging/upper level divergence?

L495: Am I confused here - I don't think you showed this for the idealised GCM experiments?

L500: I don't really understand this point. Differences between "experiments forced with tropical heating only" and what? Please be more explicit here, and perhaps consider breaking it into two or more sentences? I'm looking for a clear description of the evidence of the causal links between latent heating in WCBs and MJO teleconnection pattern.

L502: In this paragraph I see the big picture conclusions - the amount of WCB activity in association with MJO phase is a good predictor of ensuing climate regime. Is the link causal, or are they correlated for other reasons? And what can be done to predict WCB activity (and then by proxy, the climate regime)? 

Fig 4: could you show EN minus LN? and label the rows and columns (ENP, WNP, LN, EN)

Fig 7: can you add high minus low column, as you have in fig 9?

Fig 9: why not show the 300hPa gz mean state in a,b,d,e as you do in Fig 7?