Dear Editor, Dear Reviewers,

Thank you very much for reviewing our manuscript and providing such professional and detailed comments. We greatly appreciate the time and effort devoted to evaluating our work and offering valuable suggestions, which have significantly helped us improve the quality of our manuscript.

We acknowledge and adhere to the journal's current submission protocol, which requires the initial submission of our responses to the reviewers' comments prior to the upload of the revised manuscript. Accordingly, we have provided our detailed, point-by-point responses below. We will promptly upload the revised manuscript upon receiving confirmation that we may proceed, or as otherwise instructed by the journal's guidelines.

Sincerely,

Yi Wang

Dear Editor, Dear Reviewers,

Thank you very much for reviewing our manuscript and providing such professional and detailed comments. We greatly appreciate the time and effort devoted to evaluating our work and offering valuable suggestions, which have significantly helped us improve the quality of our manuscript.

We acknowledge and adhere to the journal's current submission protocol, which requires the initial submission of our responses to the reviewers' comments prior to the upload of the revised manuscript. Accordingly, we have provided our detailed, point-by-point responses below. We will promptly upload the revised manuscript upon receiving confirmation that we may proceed, or as otherwise instructed by the journal's guidelines.

Sincerely,

Yi Wang

In this version, we slightly modified the expression for f(Bz) in equation (5) to further enhance the model’s robustness, while the final results remain roughly unchanged (RMSE = 0.768 → 0.774). 

This modification is documented in the archived model code on Zenodo: https://doi.org/10.5281/zenodo.14189153.

Since this was not explicitly mentioned in our response to the reviewers, we are highlighting it here.