Open Access
Translator Disclaimer
2013 Uncertainty Analysis of Multiple Hydrologic Models Using the Bayesian Model Averaging Method
Leihua Dong, Lihua Xiong, Kun-xia Yu
J. Appl. Math. 2013(SI20): 1-11 (2013). DOI: 10.1155/2013/346045


Since Bayesian Model Averaging (BMA) method can combine the forecasts of different models together to generate a new one which is expected to be better than any individual model’s forecast, it has been widely used in hydrology for ensemble hydrologic prediction. Previous studies of the BMA mostly focused on the comparison of the BMA mean prediction with each individual model’s prediction. As BMA has the ability to provide a statistical distribution of the quantity to be forecasted, the research focus in this study is shifted onto the comparison of the prediction uncertainty interval generated by BMA with that of each individual model under two different BMA combination schemes. In the first BMA scheme, three models under the same Nash-Sutcliffe efficiency objective function are, respectively, calibrated, thus providing three-member predictions ensemble for the BMA combination. In the second BMA scheme, all three models are, respectively, calibrated under three different objective functions other than Nash-Sutcliffe efficiency to obtain nine-member predictions ensemble. Finally, the model efficiency and the uncertainty intervals of each individual model and two BMA combination schemes are assessed and compared.


Download Citation

Leihua Dong. Lihua Xiong. Kun-xia Yu. "Uncertainty Analysis of Multiple Hydrologic Models Using the Bayesian Model Averaging Method." J. Appl. Math. 2013 (SI20) 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

Digital Object Identifier: 10.1155/2013/346045

Rights: Copyright © 2013 Hindawi


Vol.2013 • No. SI20 • 2013
Back to Top