Abstract:Climate change and high?intensity human activities have significantly increased the uncertainty of hydrological and water usage processes, posing risks to water resource regulation in irrigation districts. In response to the uncertainties caused by the combination of different frequency precipitation, runoff, and water demand, a research framework of “joint probability analysis of supply and demand?optimal scheduling of reservoirs?identification of water supply risks” was proposed. Considering the nonlinear interdependence among precipitation, water demand, and river source inflow in the irrigation district, a Vine Copula joint probability distribution model was proposed to analyze the probability of the combination of water supply and demand under different wet and dry conditions. A multi?objective reservoir group optimal scheduling model was constructed to balance fairness and efficiency, as well as the competition between agricultural and ecological water use, and to extract reservoir scheduling schemes under different supply and demand wet and dry conditions. A multi?attribute decision?making cloud model and a reservoir group water supply risk assessment index system were coupled to analyze the water supply risks of different scheduling schemes. The proposed research framework was applied to the reservoir scheduling of the Baojixia Irrigation Area. The results showed that Vine Copula can effectively represent the joint uncertainty of the three variables of precipitation, runoff, and water demand with different frequencies. Among them, the joint probability of scenario dry precipitation, dry runoff, and abundant water demand (DDW) was the highest (13.56%), which was close to the actual encounter probability (13.33%). The multi?objective reservoir scheduling model can effectively balance the competition between fairness and efficiency, as well as agricultural and ecological water use. The Gini coefficient of different scheduling schemes was all below 0.4, the irrigation water shortage rate was less than 42.0%, the economic benefit was 761 million~812 million yuan, and the ecological water shortage was less than 1.17×10^8 m3. The scheduling scheme C4 corresponding to scenario dry precipitation, dry runoff, and abundant water demand (DDW) had the highest water supply risk, which was 49.02%, and the comprehensive risk level was grade Ⅲ. The research can provide a scientific basis for the water supply risk of reservoir groups under the joint uncertainty of water supply and demand in irrigation districts.