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Table 1 Performance of the 7-day ahead forecasts using the LSTM, MLP, Linear and Baseline models on the test set over different forecasting horizons (1‒7 days) using different evaluation metrics: MAE, RMSE, R2 correlation, and WI

From: Water level prediction using long short-term memory neural network model for a lowland river: a case study on the Tisza River, Central Europe

Day

MAE (cm)

RMSE (cm)

LSTM

MLP

Linear

Baseline

LSTM

MLP

Linear

Baseline

First

4.2

9.9

7.7

9.7

6.0

13.7

10.3

15.2

Second

7.6

12.3

11.4

18.4

11.4

16.6

15.5

29.0

Third

11.3

14.9

16.0

26.4

17.6

20.6

22.3

41.4

Fourth

16.3

19.6

21.6

33.5

26.2

28.1

30.5

52.4

Fifth

22.4

25.6

28.6

40.0

36.3

37.5

40.2

62.2

Sixth

28.7

32.2

36.1

45.8

46.3

47.1

50.5

70.9

Seventh

34.7

38.4

41.4

51.1

55.5

55.8

58.4

78.7

Day

R2 (−)

WI (−)

LSTM

MLP

Linear

Baseline

LSTM

MLP

Linear

Baseline

First

0.9987

0.9935

0.9963

0.9920

0.9988

0.9937

0.9964

0.9920

Second

0.9955

0.9906

0.9918

0.9709

0.9956

0.9907

0.9919

0.9711

Third

0.9893

0.9854

0.9829

0.9408

0.9894

0.9854

0.9828

0.9410

Fourth

0.9763

0.9728

0.9680

0.9051

0.9765

0.9725

0.9676

0.9056

Fifth

0.9545

0.9516

0.9443

0.8666

0.9543

0.9496

0.9419

0.8672

Sixth

0.9260

0.9233

0.9122

0.8268

0.9243

0.9172

0.9061

0.8276

Seventh

0.8937

0.8925

0.8824

0.7865

0.8889

0.8790

0.8693

0.7874