The Budyko functions under non-steady-state conditions

Moussa, Roger; Lhomme, Jean-Paul

doi:https://doi.org/10.5194/hess-20-4867-2016

Articles | Volume 20, issue 12

https://doi.org/10.5194/hess-20-4867-2016

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/hess-20-4867-2016

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 20, issue 12

Research article

|

12 Dec 2016

Research article |

| 12 Dec 2016

The Budyko functions under non-steady-state conditions

Roger Moussa and Jean-Paul Lhomme

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Final revised paper (published on 12 Dec 2016)
Supplement to the final revised paper
Preprint (discussion started on 26 Jul 2016)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'Interesting extension of the Budyko framework', Lukas Gudmundsson, 03 Aug 2016
RC2: 'Revision R0 Moussa & Lhomme', Fernando Jaramillo, 06 Aug 2016
AC1: 'Author Comment : Roger Moussa and Jean-Paul Lhomme', Roger Moussa, 14 Sep 2016

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

ED: Publish subject to minor revisions (Editor review) (22 Sep 2016) by Miriam Coenders-Gerrits

AR by Roger Moussa on behalf of the Authors (12 Oct 2016) Author's response Manuscript

ED: Publish subject to revisions (further review by Editor and Referees) (19 Oct 2016) by Miriam Coenders-Gerrits

AR by Roger Moussa on behalf of the Authors (19 Oct 2016) Author's response Manuscript

ED: Referee Nomination & Report Request started (20 Oct 2016) by Miriam Coenders-Gerrits

RR by Fernando Jaramillo (23 Oct 2016)

RR by Lukas Gudmundsson (11 Nov 2016)

Suggestions for revision or reasons for rejection

I appreciate the authors revisions including the additional analysis which have been conducted based on suggestions made by the other reviewer. Overall it is still my evaluation that the authors do present an interesting and good trough thought analysis, which is now also presented more clearly. Admittedly, I did not have the time to check all the mathematical details, but I have carefully followed the logic of sections 2.1 and 2.2 as these form the basis of the analysis. As these sections appear to be valid, I am confident that this is also the case for the remaining sections.

Apart from a few very minor suggestions listed below, I would fully support the publication of the presented paper in HESS.

Minor comments:
General: The jumps between the Turc and the Budyko space makes the article sometimes difficult to read. Therefore I would suggest to indicate which of the two options are used on a regular basis and at least once in each paragraph.

Abstract, line 10: DeltaS is referred to as change in soil water storage. Would it not be more correct to speak of changes in terrestrial water storage (which includes soils, groundwater, lakes, water stored in plants, snow, etc…)?

Page 3, Line 7: On first reading it would be helpful if you include one sentence, stating that you focus on the Turc space as this is (in your evaluation) easier to grasp.

Page 5, lines 2-5: For me it still took a while to understand how you got to the three equations that specify the multipliers \alpha, \beta, \gamma. I would appreciate if you could walk through the three respective limits and explain each equation step by step.

Page 5, line 4: The notation “\alpha . 0” is somewhat confusing. I assume you would like to indicate “alpha times zero”. Maybe substituting the “.” with a cross (x) may help?

Page 5, lines 15 – 18: See the two comments above, the same applies for this section.

Page 6, line 15: change to “…the ML formulation in the Budyko space (Eqs 14a,b) …” (see also first comment)

Page 8, lines 1 – 6: The reasons for the differences obtained for the He and Hp scaling are not 100% clear to me and I have difficulties to understand why one would be superior over the other. Could you please expand?

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ED: Publish subject to technical corrections (16 Nov 2016) by Miriam Coenders-Gerrits

AR by Roger Moussa on behalf of the Authors (22 Nov 2016) Author's response Manuscript

Short summary

A new physically based formulation is proposed to extend the Budyko framework under non-steady-state conditions, taking into account the change in water storage. The new formulation, which introduces an additional parameter, represents a generic framework applicable to any Budyko function at various time steps. It is compared to other formulations from the literature and the analytical solution of Greve et al. (2016) appears to be a particular case.