## 5 Conclusions  
1. The stability evaluation method for the rock slope anchoring system proposed in this paper considers the interaction between the anchoring structure and the rock slope and accurately reflects the displacement, deformation, and stress distribution of the rock mass slope anchoring system.
2. The stability evaluation method for the rock slope anchoring system is based on the discrete element method, which can fully account for large displacements in discontinuous rock masses and phenomena such as contact surface slip and separation and can more accurately reflect the internal deformation and stress distribution of structural surfaces and jointed rock masses. Simultaneously, a genetic algorithm is introduced to optimize the parameters of the numerical model, effectively improving the evaluation efficiency. Furthermore, the most representative numerical analysis model for the engineering conditions is obtained, combining the practical engineering situation with the numerical model, thereby improving the accuracy of the stability evaluation.
3. This evaluation method clearly presents the stability evolution process of the rock slope anchoring system, providing intuitive evaluation results.  
P.X.: Conceptualization, Funding acquisition, Methodology, Project administration, Writing--original draft, Writing--review and editing, Supervision, Resources. B.Z.: Formalanalysis, Data curation, Investigation, Software, Visualization, Writing--original draft. Y.P.: Formal analysis, Data curation, Resources, Validation, Writing--review and editing. All authors have read and agreed to the published version of the manuscript.  
This research was funded by The National Natural Science Foundation of China grant number 42407225, Fujian Provincial Education Department Foundation grant number JAT231047, Xiamen Science and Technology Subsidy Project grant number 2024 CXY0319, Research Start-up Fundation of Jimei University grant number ZQ2023019 and the APC was funded by the National Natural Science Foundation of China (No. 42407225).  
Not applicable.  
The datasets generated during and/or analyzed during the current study are available from the corresponding author upon reasonable request.  
The authors would like to extend sincere gratitude to [PERSON] from the Xinjiang Uygur Autonomous Regional Bureau of Geology's Center for Geophysical and Geochemical Exploration for his dedicated efforts in experimental data collection, processing, and formal analysis of the manuscript. His meticulous work substantially enhanced the technical validity of this study. We also acknowledge [PERSON] of Xinjiang Science and Industry Geological Exploration Co., Ltd. for providing critical experimental materials and performing rigorous validation of research outcomes, which ensured the reproducibility of our conclusions. Their domain-specific expertise and collaborative engagement were pivotal to the successful completion of this project.  
Author [PERSON] was employed by the company \"Xinjiang Transportation Science Research Institute Co., Ltd., Urumqi\". The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.