Thank you for submitting your manuscript to GChron. I would recommend it for acceptance after revision. The deconvolution method the authors suggested is novel, which can be a practical solution to deal with spread of track lengths. The application to separate pre- and post- depositional components is also useful. The authors’ responses to the referee comments were generally satisfying and helpful to clarify the discussion. So, please revise the manuscript by reflecting the two referees’ comments (RC1, 2) and your answers. I am planning to ask another referee to review the revised manuscript in terms of mathematical points.

I have an additional comment on the new title. “Age dating thermal events by de-blurring...” seems to be vague; I am afraid that some readers fail to catch meaning and significance of the contribution. In my opinion, more specific wording can make the title more appealing for fission-trackers. For example, “Dating of individual fission-track by deconvolution of the length distributions and its application to separate pre- and post- depositional components” is suggested.

The manuscript has been reviewed by one more referee to check the mathematical points. The 3rd referee recommended “accepted subject to minor revisions” with suggesting adding more details of deconvolution approach based on Bayes’ theorem. Please consider the referee comments and submit your revised manuscript.

The manuscript has been revised well. I recommend that it be accepted for publication after technical corrections listed below.

Technical corrections:
L194 thevariance-covariance --> the variance-covariance [insert a space]
L277 Eq. (4036) --> Eq. (40)
L323 identifies --> identify
L331 Grain 1 and 2 --> Grains 1 and 2 [correct also L332, 337, and 344]
L332 two time --> two-time
L347 (5156) --> (51)
L348 Eq. (4440) --> Eq. (44)
L564 remove “(1982)”

This paper is accepted for publication pending the technical corrections noted by the associate editor. Please submit a final version including these corrections.

Thank you for submitting your work to Geochronology.

-- greg