Supplementary Materials for: Dynamic Reliability Assessment of Wind Farms in Complex Karst Environments

Appendix A: Mathematical derivations for conjugate Bayesian updating, multi-rate hybrid state filtering, and variational inference. Appendix B: Pseudocode for core algorithms, including cavity belief updating, multi-rate data assimilation, and maintenance optimization under environmental constraints. Appendix C: Comprehensive nomenclature of all symbols, abbreviations, and technical terms. Appendix D: Supporting data including geohazard spatial distribution maps, ecological redline shapefile attribute tables, and OpenFAST simulation results for load coefficients under rime icing conditions.