Please wait a minute...
Frontiers of Earth Science

ISSN 2095-0195

ISSN 2095-0209(Online)

CN 11-5982/P

Postal Subscription Code 80-963

2018 Impact Factor: 1.205

Front. Earth Sci.    2020, Vol. 14 Issue (1) : 188-200    https://doi.org/10.1007/s11707-019-0773-9
RESEARCH ARTICLE
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
 Download: PDF(966 KB)   HTML
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
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
 Cite this article:   
Yixuan ZHONG,Shenglian GUO,Feng XIONG, et al. Probabilistic forecasting based on ensemble forecasts and EMOS method for TGR inflow[J]. Front. Earth Sci., 2020, 14(1): 188-200.
 URL:  
https://academic.hep.com.cn/fesci/EN/10.1007/s11707-019-0773-9
https://academic.hep.com.cn/fesci/EN/Y2020/V14/I1/188
Fig.1  Sketch map of the TGR interval basin.
Fig.2  Flowchart of probabilistic inflow forecasting scheme based on ensemble NWP and EMOS method.
Fig.3  Schematic of the TGR ensemble inflow forecasting scheme
Fig.4  Illustration of sliding window method for adaptive parameter optimization.
Hydrologic model XAJ GR4J
Optimization function RMSE RMEST MELT RMSE RMEST MELT
Evaluation metrics RMSE
RMEST
MELT
NSE
935.6
3.00×106
0.0046
0.9909
944.4
1.31×106
0.0048
0.9907
945.0
3.56×106
0.0045
0.9907
888.2
4.53×106
0.0049
0.9918
893.8
3.00×106
0.0049
0.9917
937.4
4.63×106
0.0046
0.9909
Tab.1  Performances of the inflow forecasting schemes during calibration period
Fig.5  Box-whisker plots for the evaluation metrics of TGR ensemble inflow forecasts at 1–3 d lead time.
Fig.6  CRPS values with different window length nw for 1–3 d EMOS probabilistic inflow forecasts.
Method Lead time Deterministic metrics Probabilistic metrics
MAE (m3/s) NSE CRPS (m3/s) BD (m3/s) CR*(%)
Raw ensemble 1d 675 0.98 675 837 34.44
2d 1126 0.94 1126 1002 27.59
3d 1597 0.89 1597 1105 26.77
NOR-EMOS 1d 628 0.98 511 3423 86.58
2d 1036 0.96 834 4858 85.20
3d 1407 0.90 1174 6368 83.83
GM-EMOS 1d 628 0.99 469 3064 89.68
2d 1048 0.96 776 4276 86.96
3d 1399 0.91 1065 5160 86.68
LN-EMOS 1d 624 0.99 465 3341 90.56
2d 1034 0.95 783 4879 88.64
3d 1388 0.91 1063 6908 89.61
Tab.2  Comparison of raw ensemble and EMOS probabilistic forecasts at 1–3 d lead time in terms of deterministic and probabilistic performance
Fig.7  Calibration evaluation using Verification Ranked Histogram for (a) raw ensemble forecasts and PIT histograms for (b) NOR-EMOS, (c) LN-EMOS and (d) GM-EMOS probabilistic forecasts at 1–3 d lead times. The horizontal line indicates the ideal uniform distribution. The corresponding CD values are displayed in the legends.
Fig.8  Probabilistic PDFs issued at 1–3 d lead time for daily inflow on 2012, July, 25th. The vertical solid lines indicate the inflow observation (64700 m3/s).
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
[1] Hong LI, Jingyao LUO, Mengting XU. Ensemble data assimilation and prediction of typhoon and associated hazards using TEDAPS: evaluation for 2015–2018 seasons[J]. Front. Earth Sci., 2019, 13(4): 733-743.
[2] Jieqiong LUO, Tinggang ZHOU, Peijun DU, Zhigang XU. Spatial-temporal variations of natural suitability of human settlement environment in the Three Gorges Reservoir Area—A case study in Fengjie County, China[J]. Front. Earth Sci., 2019, 13(1): 1-17.
[3] Songzhe LI, Yunping YANG, Mingjin ZHANG, Zhaohua SUN, Lingling ZHU, Xingying YOU, Kanyu LI. Coarse and fine sediment transportation patterns and causes downstream of the Three Gorges Dam[J]. Front. Earth Sci., 2018, 12(4): 750-764.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed