|
|
Probabilistic forecasting based on ensemble forecasts and EMOS method for TGR inflow |
Yixuan ZHONG1,2, Shenglian GUO1(), Feng XIONG1, Dedi LIU1, Huanhuan BA1, Xushu WU1 |
1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China 2. China Water Resources Pearl River Planning Surveying & Designing Co, Ltd., Guangzhou 510610, China |
|
|
Abstract Probabilistic inflow forecasts can quantify the uncertainty involved in the forecasting process and provide useful risk information for reservoir management. This study proposed a probabilistic inflow forecasting scheme for the Three Gorges Reservoir (TGR) at 1–3 d lead times. The post-processing method Ensemble Model Output Statistics (EMOS) is used to derive probabilistic inflow forecasts from ensemble inflow forecasts. Considering the inherent skew feature of the inflow series, lognormal and gamma distributions are used as EMOS predictive distributions in addition to conventional normal distribution. Results show that TGR’s ensemble inflow forecasts at 1–3 d lead times perform well with high model efficiency and small mean absolute error. Underestimation of forecasting uncertainty is observed for the raw ensemble inflow forecasts with biased probability integral transform (PIT) histograms. The three EMOS probabilistic forecasts outperform the raw ensemble forecasts in terms of both deterministic and probabilistic performance at 1–3 d lead times. The EMOS results are more reliable with much flatter PIT histograms, coverage rates approximate to the nominal coverage 89.47% and satisfactory sharpness. Results also show that EMOS with gamma distribution is superior to normal and lognormal distributions. This research can provide reliable probabilistic inflow forecasts without much variation of TGR’s operational inflow forecasting procedure.
|
Keywords
ensemble forecast
probabilistic forecast
numeric weather prediction
EMOS
Three Gorges Reservoir
|
Corresponding Author(s):
Shenglian GUO
|
Online First Date: 27 December 2019
Issue Date: 24 March 2020
|
|
1 |
L Arnal, M H Ramos, E C de Perez, H L Cloke, E Stephens, F Wetterhall, S J van Andel, F Pappenberger (2016). Willingness-to-pay for a probabilistic flood forecast: a risk-based decision-making game. Hydrol Earth Syst Sci, 20(8): 3109–3128
https://doi.org/10.5194/hess-20-3109-2016
|
2 |
S Baran, S Lerch (2015). Lognormal distribution based EMOS models for probabilistic wind speed forecasting. Q J R Meteorol Soc, 141(691) 2289–2299
https://doi.org/10.1002/qj.2521
|
3 |
S Baran, D Nemoda (2016). Censored and shifted gamma distribution based EMOS model for probabilistic quantitative precipitation forecasting. Environmetrics, 27(5): 280–292
https://doi.org/10.1002/env.2391
|
4 |
D R Bourdin, T N Nipen, R B Stull (2014). Reliable probabilistic forecasts from an ensemble reservoir inflow forecasting system. Water Resour Res, 50(4): 3108–3130
https://doi.org/10.1002/2014WR015462
|
5 |
J Bröcker, L A Smith (2007). Increasing the reliability of reliability diagrams. Weather Forecast, 22(3): 651–661
https://doi.org/10.1175/WAF993.1
|
6 |
L Chen, V P Singh, S Guo, J Zhou, J Zhang (2015). Copula-based method for multisite monthly and daily streamflow simulation. J Hydrol (Amst), 528: 369–384
https://doi.org/10.1016/j.jhydrol.2015.05.018
|
7 |
H L Cloke, F Pappenberger (2009). Ensemble flood forecasting: a review. J Hydrol (Amst), 375(3–4): 613–626
https://doi.org/10.1016/j.jhydrol.2009.06.005
|
8 |
J A Cunge (1969). On the subject of a flood propagation computation method (Muskingum method). J Hydraul Res, 7(2): 205–230
https://doi.org/10.1080/00221686909500264
|
9 |
Q Duan, N K Ajami, X Gao, S Sorooshian (2007). Multi-model ensemble hydrologic prediction using Bayesian model averaging. Adv Water Resour, 30(5): 1371–1386
https://doi.org/10.1016/j.advwatres.2006.11.014
|
10 |
T Dunne (1978). Field studies of hillslope flow processes. Hillslope hydrology, 227: 227–293
|
11 |
Emam A R, M Kappas, S Fassnacht, N H K Linh (2018). Uncertainty analysis of hydrological modeling in a tropical area using different algorithms. Front Earth Sci, 12(4): 661–671
https://doi.org/10.1007/s11707-018-0695-y
|
12 |
B Fernandez, J D Salas (1986). Periodic gamma autoregressive processes for operational hydrology. Water Resour Res, 22(10): 1385–1396
https://doi.org/10.1029/WR022i010p01385
|
13 |
T Gneiting, F Balabdaoui, A E Raftery (2007). Probabilistic forecasts, calibration and sharpness. J R Stat Soc, 69(2): 243–268
https://doi.org/10.1111/j.1467-9868.2007.00587.x
|
14 |
T Gneiting, A E Raftery (2005). Weather forecasting with ensemble methods. Science, 310(5746): 248–249
https://doi.org/10.1126/science.1115255
pmid: 16224011
|
15 |
T Gneiting, M Katzfuss (2014). Probabilistic forecasting. J R Stat Soc, 1(1): 125–151
|
16 |
D E Goldberg (1989). Genetic algorithm in search, optimization, and machine learning. Addison Wesley: 2104–2116
|
17 |
T M Hamill (2001). Interpretation of rank histograms for verifying ensemble forecasts. Mon Weather Rev, 129(3): 550–560
https://doi.org/10.1175/1520-0493(2001)129<0550:IORHFV>2.0.CO;2
|
18 |
J Hardy, J J Gourley, P E Kirstetter, Y Hong, F Kong, Z L Flamig (2016). A method for probabilistic flash flood forecasting. J Hydrol (Amst), 541: 480–494
https://doi.org/10.1016/j.jhydrol.2016.04.007
|
19 |
S Hemri, D Lisniak, B Klein (2015). Multivariate postprocessing techniques for probabilistic hydrological forecasting. Water Resour Res, 51(9): 7436–7451
https://doi.org/10.1002/2014WR016473
|
20 |
K D Huang, L Ye, L Chen, Q Wang, L Dai, J Zhou, V P Singh, M Huang, J Zhang (2018). Risk analysis of flood control reservoir operation considering multiple uncertainties. J Hydrol (Amst), 565: 672–684
https://doi.org/10.1016/j.jhydrol.2018.08.040
|
21 |
C H Hu, S L Guo, L H Xiong, D Peng (2005). A modified Xinanjiang model and its application in Northern China. Hydrol Res, 36(2): 175–192
https://doi.org/10.2166/nh.2005.0013
|
22 |
S Jiang, L Ren, Y Hong, X Yang, M Ma, Y Zhang, F Yuan (2014). Improvement of multi-satellite real-time precipitation products for ensemble streamflow simulation in a middle latitude basin in south China. Water Resour Manage, 28(8): 2259–2278
https://doi.org/10.1007/s11269-014-0612-4
|
23 |
M X Jie, H Chen, C Y Xu, Q Zeng, J Chen, J S Kim, S Guo, F Q Guo (2018). Transferability of conceptual hydrological models across temporal resolutions: approach and application. Water Resour Manage, 32(4): 1367–1381
https://doi.org/10.1007/s11269-017-1874-4
|
24 |
L Kang, L Zhou, S Zhang (2017). Parameter estimation of two improved nonlinear Muskingum models considering the lateral flow using a hybrid Algorithm. Water Resour Manage, 31(14): 4449–4467
https://doi.org/10.1007/s11269-017-1758-7
|
25 |
M M Khan, A Y Shamseldin, B W Melville, M Shoaib (2015). Stratification of NWP forecasts for medium-range ensemble streamflow forecasting. J Hydrol Eng, 20(7): 04014076
https://doi.org/10.1061/(ASCE)HE.1943-5584.0001075
|
26 |
P Laiolo, S Gabellani, N Rebora, R Rudari, L Ferraris, S Ratto, H Stevenin, M Cauduro (2014). Validation of the flood-proofs probabilistic forecasting system. Hydrol Processes, 28(9): 3466–3481
https://doi.org/10.1002/hyp.9888
|
27 |
S Lerch, T L Thorarinsdottir (2013). Comparison of non-homogeneous regression models for probabilistic wind speed forecasting. Tellus, 65(10): 98–110
|
28 |
D Lewis, M J Singer, R A Dahlgren, K W Tate (2000). Hydrology in a California oak woodland watershed: a 17-year study. J Hydrol (Amst), 240(1–2): 106–117
https://doi.org/10.1016/S0022-1694(00)00337-1
|
29 |
T Lan, K Lin, Z Liu, Y H He, C Y Xu, H B Zhang, X H Chen (2018). A clustering preprocessing framework for the subannual calibration of a hydrological model considering climate-land surface variations. Water Resour Res, 54
https://doi.org/10.1029/2018WR023160
|
30 |
K Lin, F Lv, L Chen, V P Singh, Q Zhang, X Chen (2014). Xinanjiang model combined with Curve Number to simulate the effect of land use change on environmental flow. J Hydrol (Amst), 519: 3142–3152
https://doi.org/10.1016/j.jhydrol.2014.10.049
|
31 |
J Liu, Z Xie (2014). BMA probabilistic quantitative precipitation forecasting over the Huaihe Basin using TIGGE multi-model ensemble forecasts. Mon Weather Rev, 142(4): 1542–1555
https://doi.org/10.1175/MWR-D-13-00031.1
|
32 |
Z Liu, S Guo, H Zhang, D Liu, G Yang (2016). Comparative study of three updating procedures for real-time flood forecasting. Water Resour Manage, 30(7): 2111–2126
https://doi.org/10.1007/s11269-016-1275-0
|
33 |
Z Liu, S Guo, L Xiong, C Y Xu (2018). Hydrologic uncertainty processor based on copula function. Hydrol Sci J, 63(1): 74–86
https://doi.org/10.1080/02626667.2017.1410278
|
34 |
G Mascaro, E R Vivoni, R Deidda (2011). Impact of basin scale and initial condition on ensemble streamflow forecast uncertainty. In: The 25th Conference on Hydrology, American Meteorological Society
|
35 |
M R Najafi, H Moradkhani (2016). Towards ensemble combination of seasonal streamflow forecasts. J Hydrol Eng, 21(1): 04015043
https://doi.org/10.1061/(ASCE)HE.1943-5584.0001250
|
36 |
J E Nash, J V Sutcliffe (1970). River flow forecasting through conceptual models: part 1: a discussion of principles. J Hydrol (Amst), 10(3): 282–290
https://doi.org/10.1016/0022-1694(70)90255-6
|
37 |
L Oudin, V Andréassian, T Mathevet, C Perrin, C Michel (2006). Dynamic averaging of rainfall-runoff model simulations from complementary model parameterizations. Water Resour Res, 42(7): 887–896
https://doi.org/10.1029/2005WR004636
|
38 |
K Parasuraman, A Elshorbagy (2007). Cluster-based hydrologic prediction using Genetic Algorithm-trained Neural Networks. J Hydrol Eng, 12(1): 52–62
https://doi.org/10.1061/(ASCE)1084-0699(2007)12:1(52)
|
39 |
C Perrin, C Michel, V Andréassian (2001). Does a large number of parameters enhance model performance? Comparative assessment of common catchment model structures on 429 catchments. J Hydrol (Amst), 242(3–4): 275–301
https://doi.org/10.1016/S0022-1694(00)00393-0
|
40 |
C Perrin, C Michel, V Andréassian (2003). Improvement of a parsimonious model for streamflow simulation. J Hydrol (Amst), 279(1–4): 275–289
https://doi.org/10.1016/S0022-1694(03)00225-7
|
41 |
A E Raftery, T Gneiting, F Balabdaoui, M Polakowski (2005). Using Bayesian model averaging to calibrate forecast ensembles. Mon Weather Rev, 133(5): 1155–1174
https://doi.org/10.1175/MWR2906.1
|
42 |
S Steinschneider, C Brown (2011). Influences of North Atlantic climate variability on low-flows in the Connecticut River Basin. J Hydrol (Amst), 409(1–2): 212–224
https://doi.org/10.1016/j.jhydrol.2011.08.038
|
43 |
J M Sloughter, A E Raftery, T Gneiting, C Fraley (2007). Probabilistic quantitative precipitation forecasting using Bayesian model averaging. Mon Weather Rev, 135(9): 3209–3220
https://doi.org/10.1175/MWR3441.1
|
44 |
T L Thorarinsdottir, T Gneiting (2010). Probabilistic forecasts of wind speed: ensemble model output statistics by using heteroscedastic censored regression. J R Stat Soc (Ser A), 173(2): 371–388
https://doi.org/10.1111/j.1467-985X.2009.00616.x
|
45 |
Y Tian, Y P Xu, X J Zhang (2013). Assessment of climate change impacts on river high flows through comparative use of GR4J, HBV and Xinanjiang models. Water Resour Manage, 27(8): 2871–2888
https://doi.org/10.1007/s11269-013-0321-4
|
46 |
E Todini (2017). Flood forecasting and decision making in the new millennium: where are we? Water Resour Manage, 31(8): 1–19
|
47 |
D S Wilks, T M Hamill (2007). Comparison of ensemble-MOS methods using GFS reforecasts. Mon Weather Rev, 135(6): 2379–2390
https://doi.org/10.1175/MWR3402.1
|
48 |
WMO (2005) First Workshop on the THORPEX Interactive Grand Global Ensemble (TIGGE), Final Report
|
49 |
WMO (2010) Workshop on the Strategy and Action Plan of the WMO Flood Forecasting Initiative, Final Report
|
50 |
C L Wu, K W Chau (2006). A flood forecasting neural network model with genetic algorithm. Int J Environ Pollut, 28(3–4): 261–273
https://doi.org/10.1504/IJEP.2006.011211
|
51 |
Z Wu, J Wu, G Lu (2016). A one-way coupled atmospheric-hydrological modeling system with combination of high-resolution and ensemble precipitation forecasting. Front Earth Sci, 10(3): 432–443
https://doi.org/10.1007/s11707-015-0535-2
|
52 |
F Xiong, S Guo, L Chen, J Yin, P Liu (2018). Flood frequency analysis using Halphen distribution and maximum entropy. J Hydrol Eng, 23(5): 04018012
https://doi.org/10.1061/(ASCE)HE.1943-5584.0001637
|
53 |
S Yue, T B M J Ouarda, B Bobée (2001). A review of bivariate gamma distributions for hydrological application. J Hydrol (Amst), 246(1–4): 1–18
https://doi.org/10.1016/S0022-1694(01)00374-2
|
54 |
L Zhao, Dan Qi, F Tian, H, D, J Wu, Z Wang, A Li (2012). Probabilistic flood prediction in the upper Huaihe catchment using TIGGE data. J Meteorol Res, 26(1): 62–71
https://doi.org/10.1007/s13351-012-0106-3
|
55 |
R Zhao (1992). The Xinanjiang model applied in China. J Hydrol (Amst), 135(1–4): 371–381
|
56 |
Y Zhong, S Guo, H Ba, F Xiong, F J Chang, K Lin (2018a). Evaluation of the BMA probabilistic inflow forecasts using TIGGE numeric precipitation predictions based on artificial neural network. Hydrol Res, 49(5): 1417–1433
https://doi.org/10.2166/nh.2018.177
|
57 |
Y Zhong, S Guo, Z Liu, Y Wang, J Yin (2018b). Quantifying differences between reservoir inflows and dam site floods using frequency and risk analysis methods. Stoch Environ Res Risk Assess, (6):1–15
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|