Variational Bayesian Neural Network for Ensemble Flood Forecasting

Disastrous floods are destructive and likely to cause widespread economic losses. An understanding of flood forecasting and its potential forecast uncertainty is essential for water resource managers. Reliable forecasting may provide future streamflow information to assist in an assessment of the be...

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Main Authors: Xiaoyan Zhan, Hui Qin, Yongqi Liu, Liqiang Yao, Wei Xie, Guanjun Liu, Jianzhong Zhou
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/12/10/2740
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author Xiaoyan Zhan
Hui Qin
Yongqi Liu
Liqiang Yao
Wei Xie
Guanjun Liu
Jianzhong Zhou
author_facet Xiaoyan Zhan
Hui Qin
Yongqi Liu
Liqiang Yao
Wei Xie
Guanjun Liu
Jianzhong Zhou
author_sort Xiaoyan Zhan
collection DOAJ
description Disastrous floods are destructive and likely to cause widespread economic losses. An understanding of flood forecasting and its potential forecast uncertainty is essential for water resource managers. Reliable forecasting may provide future streamflow information to assist in an assessment of the benefits of reservoirs and the risk of flood disasters. However, deterministic forecasting models are not able to provide forecast uncertainty information. To quantify the forecast uncertainty, a variational Bayesian neural network (VBNN) model for ensemble flood forecasting is proposed in this study. In VBNN, the posterior distribution is approximated by the variational distribution, which can avoid the heavy computational costs in the traditional Bayesian neural network. To transform the model parameters’ uncertainty into the model output uncertainty, a Monte Carlo sample is applied to give ensemble forecast results. The proposed method is verified by a flood forecasting case study on the upper Yangtze River. A point forecasting model neural network and two probabilistic forecasting models, including hidden Markov Model and Gaussian process regression, are also applied to compare with the proposed model. The experimental results show that the VBNN performs better than other comparable models in terms of both accuracy and reliability. Finally, the result of uncertainty estimation shows that the VBNN can effectively handle heteroscedastic flood streamflow data.
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spelling doaj.art-8e4793cfa9d6486a9942f19af2c7ed022023-11-20T15:41:09ZengMDPI AGWater2073-44412020-09-011210274010.3390/w12102740Variational Bayesian Neural Network for Ensemble Flood ForecastingXiaoyan Zhan0Hui Qin1Yongqi Liu2Liqiang Yao3Wei Xie4Guanjun Liu5Jianzhong Zhou6China Southern Power Grid Power Generation Company, Guangzhou 510663, ChinaSchool of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaChangjiang River Scientific Research Institute of Changjiang Water Resources Commission, Wuhan 430074, ChinaSchool of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaDisastrous floods are destructive and likely to cause widespread economic losses. An understanding of flood forecasting and its potential forecast uncertainty is essential for water resource managers. Reliable forecasting may provide future streamflow information to assist in an assessment of the benefits of reservoirs and the risk of flood disasters. However, deterministic forecasting models are not able to provide forecast uncertainty information. To quantify the forecast uncertainty, a variational Bayesian neural network (VBNN) model for ensemble flood forecasting is proposed in this study. In VBNN, the posterior distribution is approximated by the variational distribution, which can avoid the heavy computational costs in the traditional Bayesian neural network. To transform the model parameters’ uncertainty into the model output uncertainty, a Monte Carlo sample is applied to give ensemble forecast results. The proposed method is verified by a flood forecasting case study on the upper Yangtze River. A point forecasting model neural network and two probabilistic forecasting models, including hidden Markov Model and Gaussian process regression, are also applied to compare with the proposed model. The experimental results show that the VBNN performs better than other comparable models in terms of both accuracy and reliability. Finally, the result of uncertainty estimation shows that the VBNN can effectively handle heteroscedastic flood streamflow data.https://www.mdpi.com/2073-4441/12/10/2740Bayesian neural networksflood forecastvariational inferenceforecast uncertainty
spellingShingle Xiaoyan Zhan
Hui Qin
Yongqi Liu
Liqiang Yao
Wei Xie
Guanjun Liu
Jianzhong Zhou
Variational Bayesian Neural Network for Ensemble Flood Forecasting
Water
Bayesian neural networks
flood forecast
variational inference
forecast uncertainty
title Variational Bayesian Neural Network for Ensemble Flood Forecasting
title_full Variational Bayesian Neural Network for Ensemble Flood Forecasting
title_fullStr Variational Bayesian Neural Network for Ensemble Flood Forecasting
title_full_unstemmed Variational Bayesian Neural Network for Ensemble Flood Forecasting
title_short Variational Bayesian Neural Network for Ensemble Flood Forecasting
title_sort variational bayesian neural network for ensemble flood forecasting
topic Bayesian neural networks
flood forecast
variational inference
forecast uncertainty
url https://www.mdpi.com/2073-4441/12/10/2740
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AT yongqiliu variationalbayesianneuralnetworkforensemblefloodforecasting
AT liqiangyao variationalbayesianneuralnetworkforensemblefloodforecasting
AT weixie variationalbayesianneuralnetworkforensemblefloodforecasting
AT guanjunliu variationalbayesianneuralnetworkforensemblefloodforecasting
AT jianzhongzhou variationalbayesianneuralnetworkforensemblefloodforecasting