Dear Dr. Chen,

thank you for submitting your manuscript "BD-IES Observation of Multi-Period Electron Flux Modulation Caused by Localized Ultra-Low Frequency Waves" to Annales Geophysicae. As you may have seen from the reviews published in the interactive discussion, both referees are positive about your work's significance and originality, despite a long list of comments they had. I very much appreciate your efforts to provide detailed replies to all referee comments. My own reviewing of the interactive discussion shows that a revision of your manuscript is indeed feasible and your manuscript has the potential to become a significant contribution to the field. I do, however, have to rely on a subsequent evaluation by Reviewer #1 who provided a long list of detailed comments, before I can reach to a final decision.

I therefore invite you to revise your manuscript along the lines of your replies, providing your formal replies to both reviewer comments and a version of the revised manuscript that marks-up the respective changes. Regarding the derivation of your equations, I recommend that you include them in a supplement, otherwise they will only be accessible through the interactive discussion, for interested readers who need to know to look for into that.

I would also like to apologize for the long time it took to obtain the referee reports - that was only due to the difficulty in finding reviewers: 16 reviewers were asked in order to obtain the final reports. I expect the follow-up stages of peer-review would proceed faster.

Kind regards,

Elias Roussos