Review Reports - Enhancing Precision in Magnetic Map Interpolation for Regions with Sparse Data

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The paper entitled "An Improved Geomagnetic Map Interpolation Method for Sparse Data" by Haibin Li , Qi Zhang * , Mengchun Pan , Dixiang Chen , Ziqiang Yu , Yujing Xu , Zengquan Ding , Xu Liu , Ke Wan , Weiji Dai deals with the challenges in creating high-precision geomagnetic anomaly reference maps, crucial for tasks such as geomagnetic navigation and magnetic target detection. Conventional methods struggle in areas with sharp geomagnetic anomaly gradients and sparse survey lines. The proposed solution introduces an improved variogram of the Kriging interpolation method. This method utilizes a spherical variogram model, adjusting the lag distance to the third power to capture geomagnetic anomaly trends. To address under-fitting near the origin, the second power of lag distance is introduced, and a hyperparameter compensates for unbalance. Simulation and measured data results indicate an improvement in interpolation accuracy compared to traditional models, particularly in regions with abrupt geomagnetic anomaly changes. This approach offers an effective way to generate high-precision magnetic maps in areas with limited survey data.

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The manuscript is well-organized and well-written in English. However, I would like to point out two aspects with which I disagree. Firstly, regarding the title, the term "Geomagnetic" is typically used in the context of observatory magnetic measurements and related issues. I suggest modifying the title to something like "Enhancing Precision in Magnetic Map Interpolation for Regions with Sparse Data." This is just an example. Also, along the body of the entire manuscript the term geomagnetic should be well contextualized, preferring the term "magnetic".

Another important aspect concerns the exclusive citation of works by almost all Chinese authors. While this is not a limitation per se, I encountered difficulties in finding referenced papers online. Additionally, some works appear in the original language, disadvantaging non-Chinese speaking readers. Moreover some of the cited papers seems reports or conference material. I strongly recommend diversifying the citations by including references to more widely recognized international works. The manuscript's topic is not new, and many authors have published numerous works over the years.

Minor remarks:

line 11: --> ... in areas where (geo)magnetic ...

line 12: --> ...is sparse. For solving the problem, an improved....

line 29: --> ... of the Earth, which...

line 30: --> ...in the context of autonomous navigation and magnetic target detection, just to mention a few.

line 39: [Geomagnetic data are generally obtained by aeromagnetic surveying. THAT IS NOT COMPLETELY TRUE: IT DEPENDS ON THE SCOPE OF THE SURVEY] AUTHORS ARE INVITED TO BETTER EXPLAIN AND CONTESTUALIZE THIS STATEMENT

line 46: ...The literature [9] compared... [I PERSONALLY DO NOT LIKE SUCH WAY TO RECALL A REFERENCED WORK; IT'D BE MORE ELEGANT TO WRITE, IN THIS CASE, Wang Ze et al [9] compared.... THIS SHOULD BE APPLIED TO ALL THE CASES]

line 54: ... close attention for multi-point space measurements. Therefore, ....

line 91: [FIRST USE OF ACRONYM BP must be spelled out in full]

line 123 to 126 are the same as 128 to 131

line 248: ...represents the declination angle...

line 283: [PLEASE, CHECK THE WARNING NOTE OF REFERENCE NOT FOUND]

Author Response

Response to Reviewer 1 Comments
1. Summary
Thank you very much for taking the time to review this manuscript. Please find the detailed responses below and the corresponding revisions/corrections highlighted/in track changes in the re-submitted files.
2. Questions for General Evaluation	Reviewer’s Evaluation	Response and Revisions
Does the introduction provide sufficient background and include all relevant references?	Yes
Are all the cited references relevant to the research?	Must be improved	The references were reorganized and more foreign literatures was added
Is the research design appropriate?	Can be improved	Improved in accordance with your comments
Are the methods adequately described?	Yes
Are the results clearly presented?	Yes
Are the conclusions supported by the results?	Yes
3. Point-by-point response to Comments and Suggestions for Authors
Comments 1: Firstly, regarding the title, the term "Geomagnetic" is typically used in the context of observatory magnetic measurements and related issues. I suggest modifying the title to something like "Enhancing Precision in Magnetic Map Interpolation for Regions with Sparse Data." This is just an example. Also, along the body of the entire manuscript the term geomagnetic should be well contextualized, preferring the term "magnetic".
Response 1: Thank you for pointing this out. I agree with this comment. Therefore, I have modifying the title to "Enhancing Precision in Magnetic Map Interpolation for Regions with Sparse Data.", and the same time, I use the term "magnetic" instead of the “geomagnetic”
Comments 2: Another important aspect concerns the exclusive citation of works by almost all Chinese authors. While this is not a limitation perse, I encountered difficulties in finding referenced papers online. Additionally, some works appear in the original language, disadvantaging non-Chinese speaking readers. Moreover some of the cited papers seems reports or conference material. I strongly recommend diversifying the citations by including references to more widely recognized international works. The manuscript's topic is not new, and many authors have published numerous works over the years.
Response 2: Thank you for pointing this out. I agree with this comment. Agree. On the one hand, the relevant English literatures were added, and on the other hand, the Chinese documents were marked (in Chinese). At the same time, in order to ensure that the documents could be consulted, I put the relevant documents on the Baidu Web disk and shared them. The Link: https://pan.baidu.com/s/1rFJA29jAbsNk-OIRnpbj4A?pwd=8akd ; the Extraction code :8akd
Comments 3: line 11: --> ... in areas where (geo)magnetic ... line 12: --> ...is sparse. For solving the problem, an improved.... line 29: --> ... of the Earth, which... line 30: --> ...in the context of autonomous navigation and magnetic target detection, just to mention a few. line 39: [Geomagnetic data are generally obtained by aeromagnetic surveying. THAT IS NOT COMPLETELY TRUE: IT DEPENDS ON THE SCOPE OF THE SURVEY] AUTHORS ARE INVITED TO BETTER EXPLAIN AND CONTESTUALIZE THIS STATEMENT line 46: ...The literature [9] compared... [I PERSONALLY DO NOT LIKE SUCH WAY TO RECALL A REFERENCED WORK; IT'D BE MORE ELEGANT TO WRITE, IN THIS CASE, Wang Ze et al [9] compared.... THIS SHOULD BE APPLIED TO ALL THE CASES] line 54: ... close attention for multi-point space measurements. Therefore, .... line 91: [FIRST USE OF ACRONYM BP must be spelled out in full] line 123 to 126 are the same as 128 to 131 line 248: ...represents the declination angle... line 283: [PLEASE, CHECK THE WARNING NOTE OF REFERENCE NOT FOUND]
Response 3: Thank you for pointing this out. I agree with this comment. Therefore, I have modifying them: line 11: …in the area where magnetic... --> ... in areas where magnetic ... line 12: …is sparse. In order to solve the problem that this region cannot be interpolated effectively, an improved…--> ...is sparse. For solving the problem, an improved.... line 29: …of the earth, which… --> ... of the Earth, which... line 30: …in the fields of autonomous navigation, magnetic target detection and so on. --> ...in the context of autonomous navigation and magnetic target detection, just to mention a few. line 39: Geomagnetic data are generally obtained by aeromagnetic surveying. -> Aeromagnetic measurement is a means to obtain magnetic data. line 46: [I PERSONALLY DO NOT LIKE SUCH WAY TO RECALL A REFERENCED WORK; IT'D BE MORE ELEGANT TO WRITE, IN THIS CASE, Wang Ze et al [9] compared.... THIS SHOULD BE APPLIED TO ALL THE CASES]: Literature [9] ...->Wang et al. [9] ; Literature [10] ...-> Chang et al. [10] ; Literature [11] ...-> Anton et al. [11] ; Literature [13] ...-> Hao et al. [13] ; Literature [14] ...-> Yang et al. [14]; Literature [15] ...-> Cai et al.[15] ; Literature [18] ...-> Liu et al. [18]; Literature [19] ...-> Zhao et al. [19] ; Literature [20] ...-> Li et al. [20]; line 54:…close attention to by researchers of multi-point space measurement. Therefore,…-->... close attention for multi-point space measurements. Therefore, .... line 91: [FIRST USE OF ACRONYM BP must be spelled out in full]-->…Back propagation neural network. line 123 to 126 are the same as 128 to 131-> delete line 128 to 131, it did repeat! line 248: ... represents the deflection angle …->…represents the declination angle... line 283: [PLEASE, CHECK THE WARNING NOTE OF REFERENCE NOT FOUND] On the one hand, the relevant English literatures were added, and on the other hand, the Chinese documents were marked (in Chinese). At the same time, in order to ensure that the documents could be consulted, I put the relevant documents on the Baidu Web disk and shared them. The Link: https://pan.baidu.com/s/1rFJA29jAbsNk-OIRnpbj4A?pwd=8akd ; the Extraction code :8akd
4. Response to Comments on the Quality of English Language
Point 1: English language fine. No issues detected.
No.
5. Additional clarifications
No.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

In the manuscript "An Improved Geomagnetic Map Interpolation Method for Sparse Data" by Haibin Li et al., an interpolation processing method for
sparse data with improved variogram, has been proposed and used to
construct high-precision geomagnetic maps of simulation and measured data.
The principal shortcoming of this paper is English, so that some sentences
and constructions is difficult to understand. If this would be corrected
the results deserve publication and may be useful.

Here is the list of remarks:

LL 116-118: Compared with the geomagnetic maps constructed by common variograms such as Gaussian, spherical, and exponential models.
This sentence is not complete

LL 123-126 and LL133-136: This is the repetition of the same text

LL 152-153: This sentence should be reformulated

L 160: vectorl --> vector l

LL 157-160:This sentence should be reformulated

L 191: l . --> l.

L 269: simulated the geomagnetic --> the simulated geomagnetic

L 283: What means here : Error! Reference source not found

Comments on the Quality of English Language

English should be improved

Author Response

Response to Reviewer 2 Comments
1. Summary
Thank you very much for taking the time to review this manuscript. Please find the detailed responses below and the corresponding revisions/corrections highlighted/in track changes in the re-submitted files.
2. Questions for General Evaluation	Reviewer’s Evaluation	Response and Revisions
Does the introduction provide sufficient background and include all relevant references?	Yes
Are all the cited references relevant to the research?	Yes
Is the research design appropriate?	Yes
Are the methods adequately described?	Yes
Are the results clearly presented?	Must be improved	update the graphs and results of the algorithm in this paper.
Are the conclusions supported by the results?	Yes
3. Point-by-point response to Comments and Suggestions for Authors
Comments 1: The principal shortcoming of this paper is English, so that some sentences and constructions is difficult to understand. If this would be corrected the results deserve publication and may be useful.
Response 1: Thank you for pointing this out. I agree with this comment. Therefore, I revised my paper again and polished the sentences that were difficult to understand.
Comments 2: LL 116-118: Compared with the geomagnetic maps constructed by common variograms such as Gaussian, spherical, and exponential models. This sentence is not complete LL 123-126 and LL133-136: This is the repetition of the same text LL 152-153: This sentence should be reformulated L 160: vectorl --> vector l LL 157-160:This sentence should be reformulated L 191: l . --> l. L 269: simulated the geomagnetic --> the simulated geomagnetic L 283: What means here : Error! Reference source not found
Response 2: Thank you for pointing this out. I agree with this comment. Therefore, I have modifying them: LL 116-118: Compared with the geomagnetic maps constructed by common variograms such as Gaussian, spherical, and exponential models. This sentence is not complete--> “The results show that the interpolation accuracy of this method is better than that of Gaussian, spherical and exponential variogram models, and the maximum absolute error, mean absolute error and root-mean-square error are greatly reduced.” LL 123-126 and LL133-136: This is the repetition of the same text-> delete line 128 to 131, it did repeat! LL 152-153: This sentence should be reformulated-> ” There are more variogram models, among which exponential variogram, Gaussian variogram and spherical variogram are more commonly used, and their general forms are in order:” L 160: vectorl --> vector LL 157-160:This sentence should be reformulated -->” The experimental variogram is an estimate of the variogram constructed from the measured data. With the second order stationary hypothesis, the increment of depends only on the lag between the two points, and not on the position . The formula is as follows” L 191: l . --> . L 269: simulated the geomagnetic --> the simulated geomagnetic L 283: What means here : Error! Reference source not found-> This may be a problem with the word software, I changed it to ” their formulas are as follows:”
4. Response to Comments on the Quality of English Language
Point 1: English should be improved.
Response 1: I revised my paper again and polished the sentences that were difficult to understand.
5. Additional clarifications
No.

Author Response File: Author Response.pdf