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Updated: Dec 21, 2025

Watershed Planning within a Quantitative Scenario Analysis Framework
Published on: July 24, 2016
Applying copulas to predict the multivariate reduction effect of best management practices
Pu Zhang1, Yucong Yang2, Lei Chen2
1State Key Laboratory of Water Environment, School of Environment, Beijing Normal University, Beijing, 100875, PR China; College of Energy and Environmental Engineering, Hebei University of Engineering, Handan, 056038, PR China.
This study introduces a new model combining hydrological analysis and copulas to predict the impact of best management practices (BMPs) on agricultural non-point source (NPS) pollution. The approach accurately forecasts the combined effects of multiple BMPs on various pollutants, considering their inherent variability.
Area of Science:
- Environmental Science
- Hydrology
- Agricultural Engineering
Background:
- Best management practices (BMPs) are crucial for mitigating agricultural non-point source (NPS) pollution in watersheds.
- Existing models often fail to account for the stochastic nature and multivariate effects of BMPs on different pollutants.
Purpose of the Study:
- To develop and demonstrate a novel modeling approach for predicting the multivariate reduction effect of BMPs on NPS pollutants.
- To incorporate the stochastic characteristics and dependence structures of BMP effects into the prediction model.
Main Methods:
- A new approach combining a hydrological model with copula functions was developed.
- The model simulated two levels of reduction effects: single BMPs with multiple indicators and combined effects of multiple BMPs.
- The methodology was applied to the Zhangjiachong watershed in China.
Main Results:
- Copulas effectively simulated the dependence between the univariate effects of individual BMPs.
- The model accurately predicted the probability of achieving reduction targets for multiple pollutants and BMPs.
- The approach offers a stochastic method for evaluating the multivariate impact of BMPs.
Conclusions:
- The proposed modeling approach provides a robust and stochastic framework for predicting the multivariate effectiveness of BMPs.
- This method has significant potential for informing decision-making processes related to BMP implementation in watershed management.
- Accurate prediction of BMP effectiveness is vital for managing NPS pollution in agricultural areas.
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