Thanks for the work you have done in responding to the review comments. Please submit a revised version, which will be further reviewed at least by the most critical Reviewer #2 who suggested some major changes.

Two of the original reviewers who examined the paper found it improved and recommend its publication. One of them suggests a few technical corrections. I have also a couple of technical corrections to add.

- Some more attention is required on the use of SI (for example all units should be typeset using upright (Roman) fonts, not Italic); see more details in:

http://iahs.info/Publications-News/Other-publications/Guidelines-for-the-use-of-units-symbols-and-equations-in-hydrology.do

- I would propose changing “non-stationary” and “stationary” to “conditional” and “unconditional”, respectively, throughout the text. I put it as a technical correction as it is very easy to implement; however, it may be more essential. In order to have a non-stationary model some of the statistics of the processes should be explicit deterministic functions of time (and not only the processes per se, which are always functions of time). It is like in non-autonomous dynamical systems, in which the time enters explicitly, as an independent variable, in the system dynamics. If I understood well the paper, the statistical properties of the processes involved are not explicit and deterministic functions of time; hence all model variants are stationary. See more details in:

D. Koutsoyiannis, and A. Montanari, Negligent killing of scientific concepts: the stationarity case, Hydrological Sciences Journal, 60 (7-8), 1174–1183, doi:10.1080/02626667.2014.959959, 2015.

Congratulations!

Demetris Koutsoyiannis