Comments on Weiss et al.: “Modeling Indian Ocean circulation to study marine debris dispersion: insights into high-resolution and wave forcing effects with Symphonie 3.6.6” (first revised version)
I have carefully re-read the authors revisions and responses to the first round of comments a few times. While most minor issues and my previous General Comment 2 were thoroughly addressed, and reformulations helped to account for my previous General Comment 3, I still have concerns regarding the implementation and presentation of wave effects in relation to my previous General Comment 1.
Although the authors included formulas and adjusted their wording, the mathematical expressions and terminology remain imprecise, hindering a clear understanding of how wave effects were incorporated (General Comment 1). Moreover, these formulations appear inconsistent with the written response, from which I understood that the only wave effect included in the dispersal simulations is the modification of Eulerian currents via Stokes-Coriolis forcing. If that is indeed the practice the authors adopted, it deviates from established approaches in the peer-reviewed literature, and is not convincingly motivated (General Comment 2). Hence, I unfortunately still cannot complete my assessment nor recommend publication at this stage.
General Comments:
1. Imprecise mathematical formulations and terminology still hinder understanding of the incorporation of wave effects
Equations (1)-(3) contain inaccuracies and partially contradict each other as well as the supporting text. As written, they do not allow the reader to understand how exactly Stokes drift enters the momentum and tracer equations. Please ensure the equations and descriptions are consistent, specify all terms affected by Stokes drift, and consider simplifying diffusion terms. Specifically:
- Eq.1: L. 158: Please use standard terminology, i.e., the Lagrangian velocity u (not the “total current”) equals the Eulerian current velocity plus Stokes drift (not “Stokes velocity”). This distinction is important, as it helps to recognize the Eulerian velocity as a prognostic variable and to not misinterpret Stokes drift as a current.
- Eq. 2: The terms d/dt appear to be material derivatives and should be capitalized. For the purpose of the paper, I strongly suggest to write out the material derivatives to clarify which velocities enter the advection terms. In l. 165, it reads that d/dt includes the advection terms by the “total current”, and that “Lagrangian particles as well as Eulerian tracers are displaced consistently by the sum of the Eulerian current and the Stokes drift”. This would largely agree with established approaches discussed below. However, the response to my previous comments and the text explaining equation 3 suggest that Stokes drift was not explicitely included for the particle advection (see comments below). This direct contradiction could be resolved by accurately writing out the respective equations.
- Explanation Eq 3, L. 186-188: “Lagrangian particles are advected by the Eulerian current fields dynamically modified online by wave forcing through the Stokes-Coriolis term, but without any explicit addition of Stokes drift in the Lagrangian advection scheme”. This statement seems to be in direct contrast to the explanations added to equation 2. Please revise to ensure consistency.
Furthermore, in response to my previous comments, nearly all occurrences of the term “Stokes drift” were replaced by alternative phrases. Please note that I never intended to argue for removing the term Stokes drift entirely, but just to differentiate clearly where it appears (i) directly as drift, versus (ii) indirectly via changes in the Eulerian fields through wave-current interactions in form of Stokes-Coriolis forcing. Please reinstate the term Stokes drift where appropriate, use the term “Stokes-Coriolis forcing” for impacts on Eulerian current fields, and consider using “wave impact” when discussing particle results that are influenced by both.
2. The apparent inclusion of only Stokes-Coriolis forcing, without Stokes drift in advection terms, contrasts with established approaches and is not convincingly motivated
In the reply to my previous comments it reads “As the reviewer suggested, we only considered the wave effect on Lagrangian transport indirectly – i.e. […] through wave-induced modification of Eulerian currents, including anti-Stokes forces such as the Stokes-Coriolis force. In our simulations, the Stokes drift is not explicitly added to the Lagrangian advection scheme.”
If Stokes drift is indeed omitted from the Lagrangian advection, this is at odds with established practices regarding the incorporation of wave effects in hydrodynamic models and dispersal simulations. In my review of the initial submission, I already referenced recent Lagrangian dispersal studies that highlight the relevance of including both, wave-impact on Eulerian currents (including Stokes-Coriolis forcing) and Stokes drift, for dispersal simulations. Regarding the general theory for the incorporation of wave effects in hydrodynamic models, Couvelard et al. (2020) note that “[b]ecause of geostrophy, it is obvious that the addition of the Stokes–Coriolis force requires the effect of the Stokes drift on the mass and tracer advection to be taken into account”. Suzuki and Fox-Kemper (2016) outline how Lagrangian advection (including Stokes drift) and Stokes-Coriolis forcing act together (e.g., their equation 5, 6, and 7). Hence, the response to my previous comments that “the addition of Stokes drift in the Lagrangian module could have led to redundancy in the consideration of this effect” remains unconvincing. Are there publications or internal results supporting this statement?
Specific Comments:
- L.17: Stokes velocity -> Stokes-Coriolis forcing
- Lns. 65-67: Maybe not the one-way vs two-way coupling is the important point here, but rather the complexity and number of wave processes included? Rühs et al. (2025) do not perform a two-way, but one-way coupling.
- L. 151, L. 155: Stokes velocity -> Stokes drift
- L. 153 ff: “In practice, the effect of Stokes drift is considered through the transport calculations in the model’s Eulerian equations.” This could be interpreted as if Stokes drift enters the advection terms in the momentum and/or tracer equations. But the reply to my previous comments reads as if that is not the case. If Stokes drift is not added to the advection terms, please clarify or delete this sentence.
- L. 154: I do not understand what is meant with “in parallel” here. It sounds as if the practice described in this sentence is performed in addition to the implementation described in the last sentence. But I thought you are just adding Stoke-Coriolis forcing?
- L. 171: “including Stokes velocity forcing to integrate the effect of surface waves on Eulerian currents via the Stokes-Coriolis term in the momentum equations” -> including the effect of waves on Eulerian currents via the Stokes-Coriolis term in the momentum equations
- L. 402, L. 404, L. 595: Stokes velocity forcing -> Stokes-Coriolis forcing
- L. 629, L. 653: Stokes velocity -> Stokes drift
- L. 643, L. 652, L. 669: Stokes velocity forcing -> waves (potentially includes changes in Eulerian currents plus Stokes drift?) |
Comments on Weiss et al.: “Modeling Indian Ocean circulation to study marine debris dispersion: insights into high-resolution and Stokes drift effects with Symphonie 3.6.6”
The manuscript addresses an outstanding issue in the field of marine (pollution) transport modelling: providing coherent ocean velocity output from the coast to the open ocean that resolves the dominant transport processes from the submesoscale to the basin scale. It does so by introducing a new ocean model configuration for the Indian Ocean with grid refinement towards key coastal regions, inclusion of wave forcing, and a more realistic representation of river discharge. While the grid refinement and inclusion of wave forcing are not based on novel concepts, their combination in this context yields a potentially valuable new tool for marine pollution modelling that may support both sensitivity studies and improved estimates of pollution patterns compared to standard approaches.
The overall structure and presentation of the results is clear, including useful visualizations. However, the writing includes imprecise terminology, and several methodological concepts are insufficiently or inaccurately described. This limits a thorough assessment of the approach and specifically concerns the description and implementation of wave effects (see General Comment 1) and model-observation comparisons (General Comment 2). Additionally, the stated goal of addressing land-sea transfers is not clearly supported by the Lagrangian analyses presented (General Comment 3).
To conclude, while I see the potential of the manuscript to become a relevant addition to the field, I recommend major revisions to clarify key concepts, improve the terminology, and better align overall content and objectives.
General Comments:
1. Representation of wave effects
The description of wave-related processes is vague, and terminology is inconsistently used. In theory, waves affect Lagrangian transport both (i) directly via Stokes drift and (ii) indirectly through wave-induced modifications of Eulerian currents, including (anti-)Stokes forces such as the Stokes–Coriolis force. After rereading the methods, I was left with the impression that:
If this is correct, the implementation is basic and not fully aligned with the current state of the art (e.g., Couvelard et al., 2020). It also contrasts with recent findings suggesting that both Stokes drift and wave-induced modifications of Eulerian currents are important for Lagrangian transport (e.g., Röhrs et al., 2022; Cunningham et al., 2022; Rühs et al., 2025). I recommend that the authors:
2. Model-observation comparisons
The approach to model validation needs clarification:
Further detail on the nudging (location, depth, timescale) is needed as well, see also specific comment below.
3. Land-sea transfers
The abstract sets the goal to address land–sea transfers, but no direct analysis of this is presented. Lagrangian experiments are based on offshore releases, and sensitivity tests focus on grid resolution and wave forcing. The influence of more realistic river discharge, while implemented, is not tested. This feels like a missed opportunity. For example, exploring how coastal retention changes with the new configuration could strengthen the manuscript’s relevance considerably. If the authors choose not to pursue additional analyses, I suggest reformulating the manuscript’s goals to avoid overstating its scope.
Specific comments:
Technical corrections:
References: