The author thanks the referee for our article’s detailed and comprehensive feedback. We appreciate the reviewer’s time and effort in reviewing our work. The author’s responses to each referee’s comment are in the attached file.

Dear Song;

Thank you for your thorough and constructive feedback on our manuscript. The author appreciates the insightful suggestions to improve the clarity and depth of our work. 

Abstract Clarity: The abstract will be revised carefully to ensure that the distinctive features of our research are communicated. It will be aimed to make the necessary improvements to enhance the clarity and impact of our work.

Computational Complexity and Method Details: If unclear computational steps or equations are specified to eliminate computational complexity, actions can be taken for more concrete correction. The calculation section in the manuscript presents the step-by-step method and a flow chart. If the parts that are not understood at these stages or need to be detailed are specified, it will be possible to add the necessary explanations. Please access the input data of the leveling networks worked on in the manuscript, such as coefficients, measurement, weight matrices, and so on, from the assets and dataset section under the preprint. References are given about how the data is generated. Any detailed questions regarding this section will be answered, and necessary corrections will be made to the requests with the editor's approval.

Experimental Setup: Different types of errors have been considered for the geodetic networks presented in this manuscript. Calculations were made by examining the occurrence of these outliers in different scenarios (influential outlier, gross error, small and large outliers) and their behavior in 3 different networks. If there is a missing error type or scenario example, please specify more clearly. Missing parts can be added to the revision with the editor's approval.

Simulation Scenarios: Simulation studies were carried out similarly to actual measurements. The random errors added to the measurements are similar to those occurring if the observations were made on the land. Since the study focuses on the concept of reliability, simulation is a necessity. The approaches in the study can also be applied to actual values.

Discussion: The importance of providing a more comprehensive discussion about the contributions and limitations of the study was acknowledged, particularly emphasizing its statistical significance and impact on the field. Considering the suggestion, necessary corrections will be made in the discussion section to improve these issues. The revised discussion section aims to provide a more detailed analysis of the statistical significance of the study and articulate the broader impact of our research in the field.

Dear Editor;

The current code version is available from the project website: "https://doi.org/10.5281/zenodo.10417506" under the "MIT license." The exact version of the model used to produce the results used in this paper is archived on Zenodo (Utkan Mustafa, D. (2023). Godesist/OutlierDetectionForGeodeticLevelingNetwork: Initial Release (0.1.0). Zenodo. https://doi.org /10.5281/zenodo.10417506), as are input data and scripts to run the model and produce the plots for all the simulations presented in this manuscript.

The DOI of the code has been added to the 'Code and Data Availability' section in a potentially revised version.

  doi = {10.5281/zenodo.10417506},

  url = {https://doi.org/10.5281/zenodo.10417506}

The author greatly appreciates the Referee's thorough review and constructive comments on our paper.

We recognize the importance of addressing this challenge to enhance the practicality of our approach. Thank Referee for drawing attention to the strategies proposed by Neitzel (2004) and Ebeling (2014) in the context of the Maximum Subsample Method (MSS). Indeed, the MSS presents a promising avenue for reducing the number of combinations in outlier detection procedures. As Ebeling demonstrated for deformation monitoring, the MSS could be a valuable tool to streamline our method's applicability, especially in more extensive geodetic networks.

In light of the Referee's suggestion, the author will mention the potential benefits of incorporating the MSS to mitigate the computational challenges of many combinations in the potential revised manuscript. This acknowledgment adds a valuable dimension to our research, and we appreciate the Referee's insightful input.