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Integrating Hydrological–Hydraulic–AI (LSTM) Models for Improved Water Level Forecasting: Red River - Thai Binh Basin Cover

Integrating Hydrological–Hydraulic–AI (LSTM) Models for Improved Water Level Forecasting: Red River - Thai Binh Basin

Open Access
|Mar 2026

Figures & Tables

Figure 1:

Study area map

Figure 2:

A flowchart of the study structure

Figure 3:

Sub-catchment delineation map for the MIKE NAM model

Figure 4:

Hydraulic network of the Red - Thai Binh River

Figure 5:

Results of model calibration in 2023: (a) Yen Bai station, (b) Ham Yen station, (c) Gia Bay station, (d) Thanh Son station, (e) Chu station

Figure 6:

Results of model validation in 2024: (a) Yen Bai station, (b) Ham Yen station, (c) Gia Bay station, (d) Thanh Son station, (e) Chu station

Figure 7:

Results of hydraulic model calibration in 2023: (a) Quang Cu station, (b) Son Tay station, (c) Ha Noi station, (d) Thuong Cat station, (e) Nam Dinh station, (f) Truc Phuong station, (g) Cat Khe station, (h) Quyet Chien station, (i) Trieu Duong station, (j) Cua Cam station

Figure 8:

Results of hydraulic model validation in 2024: (a) Quang Cu station, (b) Son Tay station, (c) Ha Noi station, (d) Thuong Cat station, (e) Nam Dinh station, (f) Truc Phuong station, (g) Cat Khe station, (h) Quyet Chien station, (i) Trieu Duong station, (j) Cua Cam station

Figure 9:

Training process of the LSTM artificial intelligence model

Figure 10:

Results of artificial intelligence model testing in 2024

Figure 11:

Water level forecasting toolkit interface

Figure 12:

Configuration interface of the toolkit

Figure 13:

Toolkit information

Evaluation of errors in the MIKE NAM model

StationNashR2RMSE
202420242024
Yen Bai0.920.94793.34
Ham Yen0.960.98288.86
Gia Bay0.980.9993.72
Thanh Son0.90.93117.43
Chu0.940.95213.4

Evaluation of the forecasting results of the toolkit for Typhoon Wipha (07/2025)

No.StationObserved (cm)Forecasting (cm)Error (%)
t+6t+12t+18t+24t+6t+12t+18t+24t+6t+12t+18t+24
1Quang Cu273827422734273527362737274327380.10.20.30.1
2Hoa Binh120212051210121212031204121112150.10.10.10.2
3Lam Son211320972089207720942087207920670.90.50.50.5
4Son Tay5605886106155465816096112.41.10.20.7
5Ha Noi4204524844904104354734852.33.72.30.9
6Thuong Cat3583924324343473844384473.02.11.33.0
7Gia Bay222122152205220322162215220322030.20.00.10.0
8Chu3943713703443833693533452.80.54.50.2
9Binh Lieu778177667758775177787761775577460.00.10.00.1
HmaxHminHmaxHminHmaxHmin
10Nam Dinh2831992812030.72.0
11Truc Phuong2671352611402.23.7
12Ben Binh2401292371321.32.3
13Cat Khe2431552351573.31.3
14Ba Nha22842223412.22.4
15Quyet Chien2872022742014.50.5
16Trieu Duong3152293032383.83.9
17Ba Lat23010234111.710.0
18Cua Cam197−48192−462.5−4.2
19Trung Trang22922225211.74.5

Comparative evaluation of model errors

No.StationNashR2RMSE
1Quang Cu0.9940.9946.7
2Son Tay0.980.98841.4
3Ha Noi0.9950.99718.1
4Thuong Cat0.9140.98474.2
5Nam Dinh0.9910.99211.3
6Truc Phuong0.9870.9898.8
7Cat Khe0.9930.99612.8
8Quyet Chien0.9960.9968.2
9Trieu Duong0.990.99315.6
10Cua Cam0.8740.87623.4

Evaluation of the forecasting results of the toolkit for Typhoon Kajiki (08/2025)

No.StationObserved (cm)Forecasting (cm)Error (%)
t+6t+12t+18t+24t+6t+12t+18t+24t+6t+12t+18t+24
1Quang Cu281128492828279828082810282228270.11.40.21.0
2Hoa Binh964104394193393910059629232.63.72.31.0
3Lam Son212321062097209120982097209320891.20.40.20.1
4Son Tay6737017106986516986926913.20.42.51.0
5Ha Noi5215555745805075335635782.64.01.90.3
6Thuong Cat4684985185264464815075164.73.32.11.8
7Gia Bay231323322332230123252327232923050.50.20.10.2
8Chu8209388306998249498226740.51.11.03.6
9Binh Lieu775677497743773877517744774077340.10.10.00.1
HmaxHminHmaxHminHmaxHmin
10Nam Dinh2942342902351.40.4
11Truc Phuong2111532151571.92.6
12Ben Binh2692252692240.10.4
13Cat Khe3192703132781.93.0
14Ba Nha1571291561260.62.3
15Quyet Chien3002402932402.30.1
16Trieu Duong3442843482781.22.1
17Ba Lat14583141792.84.8
18Cua Cam792674286.37.7
19Trung Trang13789139891.50.1

Evaluation of errors in the MIKE 11 hydraulic model

No.StationNashR2
2023202420232024
1Quang Cu0.760.800.770.85
2Son Tay0.840.860.870.88
3Ha Noi0.880.890.890.90
4Thuong Cat0.890.870.890.90
5Nam Dinh0.910.910.940.92
6Truc Phuong0.910.880.950.90
7Cat Khe0.900.840.940.86
8Quyet Chien0.940.920.950.92
9Trieu Duong0.830.860.870.89
10Cua Cam0.900.780.920.80
DOI: https://doi.org/10.2478/cee-2026-0042 | Journal eISSN: 2199-6512 | Journal ISSN: 1336-5835
Language: English
Page range: 387 - 412
Submitted on: Sep 8, 2025
Accepted on: Sep 24, 2025
Published on: Mar 24, 2026
Published by: University of Žilina
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2026 Tri Doan Quang, Nhat Nguyen Van, Tuyet Quach Thi Thanh, published by University of Žilina
This work is licensed under the Creative Commons Attribution 4.0 License.