Wave Height Forecasting in the Bay of Bengal Using Multivariate Hybrid Deep Learning Models

The development in coastal engineering and maritime transport demands accurate wave height prediction. In this study, hybrid deep learning models, including CNN-LSTM, CNN-BiLSTM, CNN-GRU, and CNN-BiGRU, are employed to develop regional multivariate wave prediction models that incorporate multiple fe...

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Published in:Journal of Marine Science and Engineering
Main Authors: Phyusin Thet, Aifeng Tao, Tao Lv, Jinhai Zheng
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Subjects:
Online Access:https://www.mdpi.com/2077-1312/13/8/1412
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author Phyusin Thet
Aifeng Tao
Tao Lv
Jinhai Zheng
author_facet Phyusin Thet
Aifeng Tao
Tao Lv
Jinhai Zheng
author_sort Phyusin Thet
collection DOAJ
container_title Journal of Marine Science and Engineering
description The development in coastal engineering and maritime transport demands accurate wave height prediction. In this study, hybrid deep learning models, including CNN-LSTM, CNN-BiLSTM, CNN-GRU, and CNN-BiGRU, are employed to develop regional multivariate wave prediction models that incorporate multiple features, such as wave height, wind stress, water depth, pressure, and sea surface temperature (SST), for the entire Bay of Bengal area. Sensitivity analysis is performed to evaluate the accuracy using statistical metrics, such as the correlation coefficient, RMSE, and MAE. The findings demonstrate that regional multivariate models offer satisfactory results for the entire Bay of Bengal region. The multivariate model performs better compared to the univariate model as the forecast horizon increases. Performance assessment of each environmental factor, employing the integrated gradient method, reveals that sea surface temperature has the most significant influence, while wind stress is the least dominant factor in the wave prediction model. Among the tested models, the CNN-BiGRU has superior performance with a correlation of 0.9872, an RMSE of 0.1547, and an MAE of 0.1005 for the 3 h prediction and is proposed as the optimal model. This study contributes to assessing the contribution of each environmental feature and improving the accuracy of regional wave prediction.
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spelling doaj-art-e97fbf2171df4faeac0e512e75389a2d2025-08-27T14:36:17ZengMDPI AGJournal of Marine Science and Engineering2077-13122025-07-01138141210.3390/jmse13081412Wave Height Forecasting in the Bay of Bengal Using Multivariate Hybrid Deep Learning ModelsPhyusin Thet0Aifeng Tao1Tao Lv2Jinhai Zheng3Key Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University, Nanjing 210024, ChinaKey Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University, Nanjing 210024, ChinaKey Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University, Nanjing 210024, ChinaKey Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University, Nanjing 210024, ChinaThe development in coastal engineering and maritime transport demands accurate wave height prediction. In this study, hybrid deep learning models, including CNN-LSTM, CNN-BiLSTM, CNN-GRU, and CNN-BiGRU, are employed to develop regional multivariate wave prediction models that incorporate multiple features, such as wave height, wind stress, water depth, pressure, and sea surface temperature (SST), for the entire Bay of Bengal area. Sensitivity analysis is performed to evaluate the accuracy using statistical metrics, such as the correlation coefficient, RMSE, and MAE. The findings demonstrate that regional multivariate models offer satisfactory results for the entire Bay of Bengal region. The multivariate model performs better compared to the univariate model as the forecast horizon increases. Performance assessment of each environmental factor, employing the integrated gradient method, reveals that sea surface temperature has the most significant influence, while wind stress is the least dominant factor in the wave prediction model. Among the tested models, the CNN-BiGRU has superior performance with a correlation of 0.9872, an RMSE of 0.1547, and an MAE of 0.1005 for the 3 h prediction and is proposed as the optimal model. This study contributes to assessing the contribution of each environmental feature and improving the accuracy of regional wave prediction.https://www.mdpi.com/2077-1312/13/8/1412CNN-LSTMCNN-BiLSTMCNN-GRUCNN-BiGRUunivariatemultivariate
spellingShingle Phyusin Thet
Aifeng Tao
Tao Lv
Jinhai Zheng
Wave Height Forecasting in the Bay of Bengal Using Multivariate Hybrid Deep Learning Models
CNN-LSTM
CNN-BiLSTM
CNN-GRU
CNN-BiGRU
univariate
multivariate
title Wave Height Forecasting in the Bay of Bengal Using Multivariate Hybrid Deep Learning Models
title_full Wave Height Forecasting in the Bay of Bengal Using Multivariate Hybrid Deep Learning Models
title_fullStr Wave Height Forecasting in the Bay of Bengal Using Multivariate Hybrid Deep Learning Models
title_full_unstemmed Wave Height Forecasting in the Bay of Bengal Using Multivariate Hybrid Deep Learning Models
title_short Wave Height Forecasting in the Bay of Bengal Using Multivariate Hybrid Deep Learning Models
title_sort wave height forecasting in the bay of bengal using multivariate hybrid deep learning models
topic CNN-LSTM
CNN-BiLSTM
CNN-GRU
CNN-BiGRU
univariate
multivariate
url https://www.mdpi.com/2077-1312/13/8/1412
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AT aifengtao waveheightforecastinginthebayofbengalusingmultivariatehybriddeeplearningmodels
AT taolv waveheightforecastinginthebayofbengalusingmultivariatehybriddeeplearningmodels
AT jinhaizheng waveheightforecastinginthebayofbengalusingmultivariatehybriddeeplearningmodels