This manuscript is a reworking of a previous manuscript (https://www.hydrol-earth-syst-sci-discuss.net/hess-2016-249/) which was reviewed but not published.
Two reviews of the current manuscript have been provided, and the authors have provided responses to both. Overall I judge that the manuscript has improved considerably.

Based on the authors' responses (which respond well to the review comments), I invite the authors to submit a revised manuscript, for further review by me.

The review comments of both reviewers are markedly more positive than for the previous submission (https://www.hydrol-earth-syst-sci-discuss.net/hess-2016-249/). I am satisfied with the authors' revisions in response to the review comments.

Occasional minor editing of the English is needed. A few examples are given below, but the full manuscript needs to be read carefully.
P1 L17 ill-posed has a hyphen
P2 L5 "Time-integrated sensitivity measures (van Griensven et al., 2006; Sudheer et al., 2011; Nossent and Bauwens, 2012) alone merely allow more than rough estimates about the overall importance of parameters. " Improve grammar. Perhaps replace by "allow little more than rough estimates"
P2L26 "Sensitivity analysis has not just recently deemed helpful" Awkward wording