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Reconstructing missing BOD5 data from COD and its implications for water quality index assessment in a large
Diep Thi Thu Thuy1, Thi-Thu-Hong Phan2, Bui Quoc Lap3
1Ha Long University, 258 Bach Dang, Vang Danh, Uong Bi, Quang Ninh, Vietnam. diepthithuthuy@daihochalong.edu.vn.
Environmental Monitoring and Assessment
|May 22, 2026
Summary
This study reconstructs missing biochemical oxygen demand (BOD5) data using chemical oxygen demand (COD) and linear regression. The method effectively restores water quality index (WQI) data for irrigation systems, even with significant missing values.
Area of Science:
- Environmental Science
- Water Resource Management
- Data Science
Background:
- Long-term water quality monitoring in large irrigation systems is hindered by incomplete biochemical oxygen demand (BOD5) records due to costly lab analyses.
- Approximately 42.9% of BOD5 data was missing in a 20-year dataset from the Bac Hung Hai Irrigation System, Vietnam.
Purpose of the Study:
- To develop a chemical oxygen demand (COD)-based linear regression model to reconstruct missing BOD5 data.
- To evaluate the impact of reconstructed BOD5 data on the Water Quality Index (WQI) assessment.
- To provide a practical solution for water quality monitoring in data-limited environments.
Main Methods:
- A linear regression model was developed using a 20-year dataset (2004-2024) with 3014 observations.
- Model performance was assessed using train-test split and tenfold cross-validation.
- The reconstructed data's impact on WQI was compared to original data, including uncertainty analysis.
Main Results:
- A strong, stable linear relationship was found between BOD5 and COD (R² = 0.953).
- The model accurately reconstructed missing BOD5 values with low prediction errors (RMSE = 2.94 mg L⁻¹, MAE = 1.82 mg L⁻¹).
- Reconstructed WQI showed statistically insignificant practical differences, maintaining original classification outcomes.
Conclusions:
- A simple COD-based linear regression effectively reconstructs missing BOD5 data.
- This approach preserves data distribution and relationships, offering a reliable method for water quality assessment.
- The technique provides a valuable tool for enhancing long-term water quality monitoring in irrigation systems with data gaps.
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