关键词: 赣江流域, 重金属, 机器学习, 模型比较, 质量浓度预测, 主控因子

Abstract:

Ganjiang River is the largest water system of the Poyang Lake, which plays a vital role in ecological balance and economic development. However, mining activities have posed significant challenges to water quality and ecological environment in this area, with heavy metal contamination emerging as a particularly acute issue that demands urgent resolution. Although the detrimental impacts of heavy metal pollution on ecosystems are well documented, a comprehensive evaluation covering multiple heavy metals across the Ganjiang River is lacking, leaving significant research gaps. Hence, accurate prediction of heavy metal concentrations and identification of the key factors are essential for pollution management. In this study, 1000 sets of heavy metal concentrations and environmental factor data were systematically collected by literature review and laboratory analysis. Eight environmental factors and fifteen heavy metal concentrations were selected as model input variables, including pH, oxidation-reduction potential (ORP), dissolved oxygen (DO), total organic carbon (TOC), electrical conductivity (EC), total nitrogen (TN), total phosphorus (TP), and potassium ions (K⁺), as well as fifteen metal elements such as Al, Cr, Co, Ni, Mn, Fe, Cu, and Zn. The predictive performance for the concentrations of Cd, As and Pb were compared across five advanced machine learning models (LR (Linear Regression), DT (Decision Tree), RF (Random Forest), XGBoost (Extreme Gradient Boosting), SVM (Support Vector Machine)). The data were randomly divided into a training set (80%) and a test set (20%) for training the models. All the models were optimized using 5-fold cross-validation to obtain the optimal hyperparameters. The coefficient of determination (R²), mean absolute error (σ_MAE), and root mean square error (σ_RMSE) were employed to evaluate the regression performance. For the model with the best performance, SHapley Additive exPlanations (SHAP) and permutation feature importance analysis methods were employed to rank the importance of the input parameters and identify the most significant factors related to heavy metal concentration. The results showed that 1) the variations in concentrations of the heavy metal ions and environmental factors in Ganjiang River were substantial. The pH value ranged from 1.95 to 9.64, with an average pH of 5.91, slightly lower than natural waters. This might be due to the discharge of the acid mine drainage in mining area. Besides that, particular attention should be paid to TN and TP. In some sampling sites, the concentrations of TN and TP reached as high as 7.918 mg·L⁻¹ and 0.98 mg·L⁻¹, respectively. Similarly, when compared to the Class Ⅳ criteria for surface water (GB 3838—2002), the contents of Cd, As, Pb, Cr, Fe, Mn and Hg were significantly higher than the standard limits. Moreover, the calculated coefficients of variation (CV) of Cd, As, and Pb were 130%, 78%, and 111%, respectively. These results indicated that heavy metal contents in the Ganjiang River are strongly influenced by anthropogenic activities and pose potential ecological risks. 2) Linear and nonlinear models differ substantially in their predictive performance for heavy metal concentrations. Linear regression models cannot capture the complex nonlinear relationships between indicators and heavy metal concentration. Significant discrepancies were observed between the predicted and measured values for some samples. Nonlinear models have some advantages in mining data information as well as identifying and modeling nonlinear relationships. For predicting Cd concentrations, RF and SVM performed similarly, with SVM showing slightly higher accuracy (R², 0.981; σ_RMSE, 0.163; σ_MAE, 0.0983), followed by XGBoost and DT, while the LR model exhibited the lowest accuracy. Similarly, for Pb concentrations predictions, SVM achieved the highest accuracy, and the values of R², σ_RMSE, σ_MAE were 0.971, 0.163, and 0.0983, respectively. SVM is a small-sample machine learning method suited for solving nonlinear regression problems. It can effectively address classification and regression tasks with high-dimensional features by relying on support vectors instead of the entire dataset, thus allowing for strong performance even with limited samples. By contrast, RF achieved high accuracy for predicting As concentrations, with R² values of 0.963, σ_RMSE values of 0.244, σ_MAE values of 0.126. RF avoids the risks of overfitting issues associated with a single decision tree and enhances model robustness through random features and samples selection during the training process. Integrating the evaluation metrics of R², σ_RMSE, and σ_MAE, the optimal prediction models for Cd and Pb concentrations were identified as SVM, while RF excelled for predicting As concentration. LR showed poorer performance across all prediction models for heavy metal concentration. 3) Based on the variable importance assessment from the aforementioned model, it was found that TOC, pH, and metal content significantly affect the heavy metal concentration in the Ganjiang river basin. TOC was identified as the primary governing factor for Cd pollution, with which it exhibited a significant positive correlation. In contrast, Mg was identified as the principal influencer of As, despite the absence of a statistically significant correlation between them. Furthermore, the concentration of Pb was predominantly regulated by pH, demonstrating a positive correlation with it. 4) In the future, with the advancement of computer science and technology, multi-model integration frameworks are gradually coming into the spotlight. Techniques such as multi-model stacking and mixing can fully leverage the strengths of various machine learning models to produce more powerful predictive models. Additionally, combining physics-based models with data-driven approaches can enhance the understanding and prediction capabilities of the models while also lowering the barrier to their use. Integrating ecological assessments with pollution studies will provide a more holistic understanding of the impacts of heavy metal contamination on the long-term sustainability of the Ganjiang river basin. Identifying effective mitigation strategies and regulations to reduce heavy metal pollution in the Ganjiang river basin is crucial. Future research should involve multidisciplinary approaches and include local communities in conservation efforts, raising awareness of the importance of the Ganjiang river basin. Collaboration among scientists, policymakers, and local stakeholders is key to successful conservation initiatives. 5) In conclusion, while the current study offers valuable insights into heavy metal contamination, recognizing its limitations is essential. This research develops a machine learning framework to ascertain the heavy metal concentration and assesses the performance of five sophisticated machine learning algorithms in predicting these concentrations. The findings indicate that machine learning models, notably SVM and RF, demonstrate high precision and robustness in determining heavy metal concentration. This study offers a novel approach and perspective for future determinations of heavy metal concentrations.

Key words: Ganjiang River Basin, heavy metals ions, machine learning, model comparison, concentration prediction, dominant factors