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Fig 1.

Flow chart of this study.

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Fig 2.

Framework of the game theory-based comprehensive weighting strategy.

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Fig 3.

Flow chart of the Improved Kepler Orbital Algorithm (IKOA).

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Table 1.

Benchmark function information.

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Fig 4.

The convergence curve of each optimization algorithm under the test function.

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Fig 5.

Architectural framework of the integrated IKOA-CNN-BiGRU-Attention model.

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Fig 6.

Geographical distribution of the study area.

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Table 2.

Hazard causation systems and their selection criteria.

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Fig 7.

VIF analysis results for hazard-causing factors.

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Fig 8.

Results of Comprehensive weighting.

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Table 3.

The prediction error of each model.

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Fig 9.

Predictive performance of the training and test sets.

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Table 4.

Results for model hyperparameter values.

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Fig 10.

SHAP analysis of feature importance and threshold effects in debris flow formation.

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Fig 11.

SHAP interactions between key geomorphological and meteorological variables.

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Fig 12.

Threshold identification for debris flows through SHAP response analysis.

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Fig 13.

Three-dimensional risk surface with critical threshold planes.

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Fig 14.

Comparative efficiency of source energy versus rainfall control interventions.

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Fig 15.

Site-specific risk factor compositions in contrasting debris flow scenarios.

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Table 5.

Stability analysis of each model.

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Table 6.

Robustness Analysis of each model.

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Table 7.

Applicability analysis of the IKOA-CNN-BiGRU-Attention model.

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