Thankyou for your submission of the revised manuscript, which I'm happy to accept subject to some technical corrections of spelling and grammar as follows. The line numbers refer to those in the marked-up manuscript, named gmd-2016-7-author_response-version2.pdf.

Line 78: Replace “shallow ice flow line” with “shallow-ice flowline”
Line 168: Change “standard test” to “standard tests”
Line 235: Change “is design to” to “is designed to”
Line 278: rms is not defined as an acronym – add this to line 266.
Line 313: Change “allows to reach a rms misfit of” to “allow a rms misfit of … to be reached”
Line 340: Change “has been experienced” to “has been investigated”
Line 341: Change “Experiences” to “Results”
Line 347: Remove the word “consisting”
Line 349: Change “Additionally” to “In addition to”
Line 349: Correct spelling of “regularisation”
Line 361: Change “in term of cost functions” to “in terms of the cost functions”
Line 379: Change “instead of adjoint method” to “instead of the adjoint method”
Line 379: Change “region” to “regions”
Line 380: Change “significantly departures from” to “significantly departs from”
Line 408: Underestimation is all one word
Line 408: Change “last” to “latter”
Line 454: Change “show that ATP algorithm” to “show that the ATP algorithm”
Line 454: A comma is needed after basal shear stresses? Please check this sentence structure.