International Journal of Engineering
Trends and Technology

Research Article | Open Access | Download PDF
Volume 74 | Issue 6 | Year 2026 | Article Id. IJETT-V74I6P106 | DOI : https://doi.org/10.14445/22315381/IJETT-V74I6P106

Hybrid Models and Techniques of Flood Forecasting: Steering NARX and Taguchi Method; An Iceberg Overview


Siti Hajar Binti Arbain, Rozaida binti Ghazali, Sani Inusa Milala, Mohamed Hafiz Bin Kamaluddin

Received Revised Accepted Published
22 May 2025 05 Mar 2026 20 Apr 2026 27 Jun 2026

Citation :

Siti Hajar Binti Arbain, Rozaida binti Ghazali, Sani Inusa Milala, Mohamed Hafiz Bin Kamaluddin, "Hybrid Models and Techniques of Flood Forecasting: Steering NARX and Taguchi Method; An Iceberg Overview," International Journal of Engineering Trends and Technology (IJETT), vol. 74, no. 6, pp. 75-103, 2026. Crossref, https://doi.org/10.14445/22315381/IJETT-V74I6P106

Abstract

Floods are still one of the most serious natural disasters, which are a major threat to human lives, infrastructure, and ecosystems. Existing approaches (hybrid modeling, machine learning methods such as data-driven models) can present a number of issues, such as computational inefficiency, susceptibility to sudden changes in environmental conditions, and dependency on extensive datasets; though developments in flood prediction have come, many are still struggling to build predictive analysis. To overcome these limitations, we propose an innovative hybrid framework that combines the Nonlinear Autoregressive with Exogenous Input (NARX) model and the Taguchi optimization technique. This method is intended to enhance prediction accuracy, improve computational efficiency, and optimize model parameters, thereby yielding an efficient platform that enhances generalizability across time-to-time outcomes. This technique enhances prediction precision, computational efficiency, and model parameterization, leading to significant advancements in hydrological modelling. A comprehensive survey of flood forecasting techniques was undertaken, seeking to find results from Elsevier (62% of works), MDPI (12%), IEEE (8%), and Wiley Online Library (4%), with results spanning the last quarter century. This review indicates that the flood forecasting literature is robust to date, as 53% of this area has been evaluated between 2021 and 2025, highlighting the need to propose novel alternative practices to cope with the growing flood risk, particularly given the more recent years of literature over 25 years. Using a comprehensive methodology that includes studying the most suitable methods in the available state of the art methods, as well as performing a multi-context analysis using the proposed model of a NARX-Taguchi hybrid model from our work. The methods outlined above provide considerable improvements in prediction reliability, climate adaptability, and computational efficiency compared with traditional flood prediction methods. Finally, through this hybrid framework, we shall also create a new gold standard to benchmark flood forecasting systems against, and thus, more effective disaster planning mechanisms in the age of increased climate hazards.

Keywords

Flood, Techniques of Flood Forecasting, NARX Model, Taguchi Method, Flood Risk Management, and Predictive Modeling.

References

[1] Yanlai Zhou et al., “Improving the Reliability of Probabilistic Multi-Step-Ahead Flood Forecasting by using Unscented Kalman Filter with Recurrent Neural Network,” Water, vol. 12, no. 2, pp. 1-15, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[2] Huseyin Cagan Kilinc, and Adem Yurtsever, “Short-Term Streamflow Forecasting using Hybrid Deep Learning Model based on Grey Wolf Algorithm for Hydrological Time Series,” Sustainability, vol. 14, no. 6, pp. 1-20, 2022.
[CrossRef] [Google Scholar] [Publisher Link]

[3] Eleni-Ioanna Koutsovili et al., “Early Flood Monitoring and Forecasting System using a Hybrid Machine Learning-based Approach,” ISPRS International Journal of Geo-Information, vol. 12, no. 11, pp. 1-33, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[4] You-Da Jhong et al., “Physical Hybrid Neural Network Model to Forecast Typhoon Floods,” Water, vol. 10, no. 5, pp. 1-17, 2018.
[CrossRef] [Google Scholar] [Publisher Link]

[5] Li Li, and Kyung Soo Jun, “A Hybrid Approach to Improve Flood Forecasting by Combining a Hydrodynamic Flow Model and Artificial Neural Networks,” Water, vol. 14, no. 9, pp. 1-22, 2022.
[CrossRef] [Google Scholar] [Publisher Link]

[6]  Jian Wu et al., “Flash Flood Forecasting using Support Vector Regression Model in a Small Mountainous Catchment,” Water, vol. 11, no. 7, pp. 1-16, 2019.
[CrossRef] [Google Scholar] [Publisher Link]

[7] Binh Thai Pham et al., “GIS based Hybrid Computational Approaches for Flash Flood Susceptibility Assessment,” Water, vol. 12, no. 3, pp. 1-30, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[8] Jianjin Wang et al., “Application of BP Neural Network Algorithm in Traditional Hydrological Model for Flood Forecasting,” Water, vol. 9, no. 1, pp. 1-16, 2017.
[CrossRef] [Google Scholar] [Publisher Link]

[9] Yue Zhang et al., “Flood Forecasting using Hybrid LSTM and GRU Models with Lag Time Preprocessing,” Water, vol. 15, no. 22, pp. 1-18, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[10] Dieu Tien Bui et al., “New Hybrids of ANFIS with Several Optimization Algorithms for Flood Susceptibility Modeling,” Water, vol. 10, no. 9, pp. 1-28, 2018.
[CrossRef] [Google Scholar] [Publisher Link]

[11] Yupa Chidthong, Hitoshi Tanaka, and Seree Supharatid, “Developing a Hybrid Multi‐Model for Peak Flood Forecasting,” Hydrological Processes: An International Journal, vol. 23, no. 12, pp. 1725-1738, 2009.
[CrossRef] [Google Scholar] [Publisher Link]

[12] Qiying Yub et al., “Research on a Hybrid Model for Flood Probability Prediction based on Time Convolutional Network and Particle Swarm Optimization Algorithm,” Scientific Reports, vol. 15, no. 1, pp. 1-13, 2025.
[CrossRef] [Google Scholar] [Publisher Link]

[13 ]Phuoc Sinh Nguyen, Truong Huy (Felix) Nguyen, and The Hung Nguyen, “A Real‐Time Flood Forecasting Hybrid Machine Learning Hydrological Model for Krong H'nang Hydropower Reservoir,” River, vol. 3, no. 1, pp. 107-117, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[14] Wenyan Wu et al., “Ensemble Flood Forecasting: Current Status and Future Opportunities,” Wiley Interdisciplinary Reviews: Water, vol. 7, no. 3, pp. 1-51, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[15] Hyeontae Moon, Sunkwon Yoon, and Youngil Moon, “Urban Flood Forecasting using a Hybrid Modeling Approach based on a Deep Learning Technique,” Journal of Hydroinformatics, vol. 25, no. 2, pp. 593-610, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[16] Tao Yang et al., “Evaluation and Machine Learning Improvement of Global Hydrological Model-based Flood Simulations,” Environmental Research Letters, vol. 14, no. 11, pp. 1-10, 2019.
[CrossRef] [Google Scholar] [Publisher Link]

[17] Chenmin Ni, Pei Shan Fam, and Muhammad Fadhil Marsani, “A Data‐Driven Method and Hybrid Deep Learning Model for Flood Risk Prediction,” International Journal of Intelligent Systems, vol. 2024, no. 1, pp. 1-20, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[18] Yves Abou Rjeily et al., “Flood Forecasting within Urban Drainage Systems using NARX Neural Network,” Water Science and Technology, vol. 76, no. 9, pp. 2401-2412, 2017.
[CrossRef] [Google Scholar] [Publisher Link]

[19] Dimitri P. Solomatine, and Roland K. Price, “Innovative Approaches to Flood Forecasting using Data Driven and Hybrid Modelling,” Hydroinformatics, pp. 1639-1646, 2004.
[CrossRef] [Google Scholar] [Publisher Link]

[20] Zhen Cui et al., “A Novel Hybrid XAJ-LSTM Model for Multi-Step-Ahead Flood Forecasting,” Hydrology Research, vol. 52, no. 6, pp. 1436-1454, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[21] Guangyuan Kan et al., “Hybrid Machine Learning Hydrological Model for Flood Forecast Purpose,” Open Geosciences, vol. 12, no. 1, pp. 813-820, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[22] Chongli Di, Xiaohua Yang, and Xiaochao Wang, “A Four-Stage Hybrid Model for Hydrological Time Series Forecasting,” PLOS one, vol. 9, no. 8, pp. 1-18, 2014.
[CrossRef] [Google Scholar] [Publisher Link]

[23] Jun Li et al., “Optimizing Flood Predictions by Integrating LSTM and Physical-based Models with Mixed Historical and Simulated Data,” Heliyon, vol. 10, no. 13, pp. 1-20, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[24] Baheerah Shada, N.R. Chithra, and Santosh G. Thampi, “Hourly Flood Forecasting using Hybrid Wavelet-SVM,” Journal of Soft Computing in Civil Engineering, vol. 6, no. 2, pp. 1-20, 2022.
[CrossRef] [Google Scholar] [Publisher Link]

[25] Tiantian Tang et al., “Research on Flood Forecasting based on Flood Hydrograph Generalization and Random Forest in Qiushui River Basin, China,” Journal of Hydroinformatics, vol. 22, no. 6, pp. 1588-1602, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[26] Haider Malik et al., “Improving Flood Forecasting using Time-Distributed CNN-LSTM Model: A Time-Distributed Spatiotemporal Method,” Earth Science Informatics, vol. 17, no. 4, pp. 3455-3474, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[27] Mohammed Moishin et al., “Designing Deep-based Learning Flood Forecast Model with ConvLSTM Hybrid Algorithm,” IEEE Access, vol. 9, pp. 50982-50993, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[28] Dillip Kumar Ghose et al., “Performance Evaluation of Hybrid ANFIS Model for Flood Prediction,” 2022 8th International Conference on Advanced Computing and Communication Systems (ICACCS), Coimbatore, India, pp. 772-777, 2022.
[CrossRef] [Google Scholar] [Publisher Link]

[29] Fazlina Ahmat Ruslan et a., “Flood Water Level Modeling and Prediction using NARX Neural Network: Case Study at Kelang River,” 2014 IEEE 10th International Colloquium on Signal Processing and its Applications, Kuala Lumpur, Malaysia, pp. 204-207, 2014.
[CrossRef] [Google Scholar] [Publisher Link]

[30] Ramli Adnan et al., “New Artificial Neural Network and Extended Kalman Filter Hybrid Model of Flood Prediction System,” 2013 IEEE 9th International Colloquium on Signal Processing and its Applications, Kuala Lumpur, Malaysia, pp. 252-257, 2013.
[CrossRef] [Google Scholar] [Publisher Link]

[31] Cicily Kurian et al., “Effective Flood Forecasting at Higher Lead Times Through Hybrid Modelling Framework,” Journal of Hydrology, vol. 587, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[32] Siti Maisarah Zainorzuli et al., “Comparative Study of Elman Neural Network (ENN) and Neural Network Autoregressive with Exogenous Input (NARX) for Flood Forecasting,” 2019 IEEE 9th Symposium on Computer Applications and Industrial Electronics (ISCAIE), Malaysia, pp. 11-15, 2019.
[CrossRef] [Google Scholar] [Publisher Link]

[33] Jinghan Dong et al., “A Novel Runoff Prediction Model based on Support Vector Machine and Gate Recurrent Unit with Secondary Mode Decomposition,” Water Resources Management, vol. 38, no. 5, pp. 1655-1674, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[34] Xinxin He et al., “Daily Runoff Forecasting using a Hybrid Model based on Variational mode Decomposition and Deep Neural Networks,” Water Resources Management, vol. 33, no. 4, pp. 1571-1590, 2019.
[CrossRef] [Google Scholar] [Publisher Link]

[35] Abinash Sahoo, Sandeep Samantaray, and Dillip K. Ghose, “Prediction of Flood in Barak River using Hybrid Machine Learning Approaches: A Case Study,” Journal of the Geological Society of India, vol. 97, no. 2, pp. 186-198, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[36] Nguyen Thi Thuy Linh et al., “Flood Prediction based on Climatic Signals using Wavelet Neural Network,” Acta Geophysica, vol. 69, no. 4, pp. 1413-1426, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[37] Hamid Darabi et al., “Development of a Novel Hybrid Multi-Boosting Neural Network Model for Spatial Prediction of Urban Flood,” Geocarto International, vol. 37, no. 19, pp. 5716-5741, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[38] Amir Mosavi, Pinar Ozturk, and Kwok-wing Chau, “Flood Prediction using Machine Learning Models: Literature Review,” Water, vol. 10, no. 11, pp. 1-40, 2018.
[CrossRef] [Google Scholar] [Publisher Link]

[39] Chengshuai Liu et al., “Research on Machine Learning Hybrid Framework by Coupling Grid-based Runoff Generation Model and Runoff Process Vectorization for Flood Forecasting,” Journal of Environmental Management, vol. 364, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[40] Yihong Zhou et al., “Adaptive Selection and Optimal Combination Scheme of Candidate Models for Real-Time Integrated Prediction of Urban Flood,” Journal of Hydrology, vol. 626, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[41] Zaki Abda, Mohamed Chettih, and Bilel Zerouali, “Efficiency of a Neuro-Fuzzy Model based on the Hilbert-Huang Transform for Flood Prediction,” Advances in Sustainable and Environmental Hydrology, Hydrogeology, Hydrochemistry and Water Resources: Proceedings of the 1st Springer Conference of the Arabian Journal of Geosciences (CAJG-1), Tunisia, pp. 401-404, 2019.
[CrossRef] [Google Scholar] [Publisher Link]

[42] Abbas Parsaie et al., “Novel Hybrid Intelligence Predictive Model based on Successive Variational Mode Decomposition Algorithm for Monthly Runoff Series,” Journal of Hydrology, vol. 634, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[43] Supriya Kamoji, and Mukesh Kalla, “Effective Flood Prediction Model based on Twitter Text and Image Analysis using BMLP and SDAE-HHNN,” Engineering Applications of Artificial Intelligence, vol. 123, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[44] Abinash Sahoo, and Dillip Kumar Ghose, “Flood Forecasting using Hybrid SVM‑GOA Model: A Case Study,” Intelligent Systems: Proceedings of ICMIB, Springer, Singapore, vol. 431, pp. 407-416, 2022.
[CrossRef] [Google Scholar] [Publisher Link]

[45] Lishu Xu, and Liang Gao, “A Hybrid Surrogate Model for Real-Time Coastal Urban Flood Prediction: An Application to Macao,” Journal of Hydrology, vol. 642, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[46] Wenzhong Li et al., “An Interpretable Hybrid Deep Learning Model for Flood Forecasting based on Transformer and LSTM,” Journal of Hydrology: Regional Studies, vol. 54, pp. 1-17, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[47] Ming Zhong et al., “A Hybrid Model Combining the Cama-Flood Model and Deep Learning Methods for Streamflow Prediction,” Water Resources Management, vol. 37, no. 12, pp. 4841-4859, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[48] Weijun Dai, and Zhiming Cai, “Predicting Coastal Urban Floods using Artificial Neural Network: The Case Study of Macau, China,” Applied Water Science, vol. 11, no. 10, pp. 1-11, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[49] Binata Roy et al., “Forecasting Multi-Step-Ahead Street-Scale Nuisance Flooding using seq2seq LSTM Surrogate Model for Real-Time Applications in a Coastal-Urban City,” Journal of Hydrology, vol. 656, pp. 1-27, 2025.
[CrossRef] [Google Scholar] [Publisher Link]

[50] Jiun-Huei Jang, Cheng-Yu Hsieh, and Tse-Wei Li, “Flood Mapping based on the Combination of Support Vector Regression and Heun’s Scheme,” Journal of Hydrology, vol. 613, 2022.
[CrossRef] [Google Scholar] [Publisher Link]

[51] Heng Li et al., “Data-Driven Surrogate Modeling: Introducing Spatial Lag to Consider Spatial Autocorrelation of Flooding Within Urban Drainage Systems,” Environmental Modelling and Software, vol. 161, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[52] Simon Berkhahn, and Insa Neuweiler, “Data Driven Real-Time Prediction of Urban Floods with Spatial and Temporal Distribution,” Journal of Hydrology X, vol. 22, pp. 1-15, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[53] Hyun Il Kim, and Kun Yeun Han, “Data-Driven Approach for the Rapid Simulation of Urban Flood Prediction,” KSCE Journal of Civil Engineering, vol. 24, no. 6, pp. 1932-1943, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[54] Baya Hadid, Eric Duviella, and Stéphane Lecoeuche, “Data-Driven Modeling for River Flood Forecasting based on a Piecewise Linear ARX System Identification,” Journal of Process Control, vol. 86, pp. 44-56, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[55] Xingyu Yan et al., “A Rapid Prediction Model of Urban Flood Inundation in a High-Risk Area Coupling Machine Learning and Numerical Simulation Approaches,” International Journal of Disaster Risk Science, vol. 12, no. 6, pp. 903-918, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[56] Farzad Piadeh, Kourosh Behzadian, and Amir M Alani, “A Critical Review of Real-Time Modelling of Flood Forecasting in Urban Drainage Systems,” Journal of Hydrology, vol. 607, 2022.
[CrossRef] [Google Scholar] [Publisher Link]

[57] Syed Kabir et al., “A Deep Convolutional Neural Network Model for Rapid Prediction of Fluvial Flood Inundation,” Journal of Hydrology, vol. 590, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[58] Gary Wee et al., “A Flood Impact-based Forecasting System by Fuzzy Inference Techniques,” Journal of Hydrology, vol. 625, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[59] Zhoobin Rahimi, Helmi Zulhaidi Mohd Shafri, and Masayu Norman, “A GNSS-based Weather Forecasting Approach using Nonlinear Auto Regressive Approach with Exogenous Input (NARX),” Journal of Atmospheric and Solar-Terrestrial Physics, vol. 178, pp. 74-84, 2018.
[CrossRef] [Google Scholar] [Publisher Link]

[60] Ashrumochan Mohanty, Bhabagrahi Sahoo, and Ravindra Vitthal Kale, “A Hybrid Model Enhancing Streamflow Forecasts in Paddy Land Use-Dominated Catchments with Numerical Weather Prediction Model-based Meteorological Forcings,” Journal of Hydrology, vol. 635, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[61] Chengjing Xu et al., “A Hybrid Model Coupling Process-Driven and Data-Driven Models for Improved Real-Time Flood Forecasting,” Journal of Hydrology, vol. 638, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[62] Mukesh K. Tiwari, and Chandranath Chatterjee, “Development of an Accurate and Reliable Hourly Flood Forecasting Model using Wavelet–Bootstrap–ANN (WBANN) Hybrid Approach,” Journal of Hydrology, vol. 394, no. 3-4, pp. 458-470, 2010.
[CrossRef] [Google Scholar] [Publisher Link]

[63] Dieu Tien Bui et al., “Novel Hybrid Evolutionary Algorithms for Spatial Prediction of Floods,” Scientific Reports, vol. 8, no. 1, pp. 1-14, 2018.
[CrossRef] [Google Scholar] [Publisher Link]

[64] Md. Enayet Chowdhury et al., “An Efficient Flash Flood Forecasting System for the Un-Gaged Meghna Basin using Open Source Platform Delft-FEWS,” Environmental Modelling and Software, vol. 161, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[65] Thanh Quang Dang et al., “Application of Machine Learning-based Surrogate Models for Urban Flood Depth Modeling in Ho Chi Minh City, Vietnam,” Applied Soft Computing, vol. 150, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[66] Simon Berkhahn, Lothar Fuchs, and Insa Neuweiler, “An Ensemble Neural Network Model for Real-Time Prediction of Urban Floods,” Journal of Hydrology, vol. 575, pp. 743-754, 2019.
[CrossRef] [Google Scholar] [Publisher Link]

[67] Abbas Sharifi et al., “Application of Artificial Intelligence in Digital Twin Models for Stormwater Infrastructure Systems in Smart Cities,” Advanced Engineering Informatics, vol. 61, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[68] Fiaz Hussain, Ray-Shyan Wu, and Jing-Xue Wang, “Comparative Study of Very Short-Term Flood Forecasting using Physics-based Numerical Model and Data-Driven Prediction Model,” Natural Hazards, vol. 107, no. 1, pp. 249-284, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[69] Bo Cai, and Yaoxiang Yu, “Flood Forecasting in Urban Reservoir using Hybrid Recurrent Neural Network,” Urban Climate, vol. 42, 2022.
[CrossRef] [Google Scholar] [Publisher Link]

[70] Huu Duy Nguyen, Chien Pham Van, and Anh Duc Do, “Application of Hybrid Model-based Deep Learning and Swarm‐based Optimizers for Flood Susceptibility Prediction in Binh Dinh Province, Vietnam,” Earth Science Informatics, vol. 16, pp. 1173-1193, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[71] Shuai Xie et al., “Artificial Neural Network based Hybrid Modeling Approach for Flood Inundation Modelling,” Journal of Hydrology, vol. 592, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[72] Xiaohan Li, and Patrick Willems, “A Hybrid Model for Fast and Probabilistic Urban Pluvial Flood Prediction,” Water Resources Research, vol. 56, no. 6, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[73] Ruhhee Tabbussum, and Abdul Qayoom Dar, “Modelling Hybrid and Backpropagation Adaptive Neuro-Fuzzy Inference Systems for Flood Forecasting,” Natural Hazards, vol. 108, no. 1, pp. 519-566, 2021.
[CrossRef] [Google Scholar] [Publisher Link]

[74] Hossein Bari Abarghouei, and Seyed Zeynalabedin Hosseini, “Using Exogenous Variables to Improve Precipitation Predictions of Anns in Arid and Hyper-Arid Climates,” Arabian Journal of Geosciences, vol. 9, no. 15, 2016.
[CrossRef] [Google Scholar] [Publisher Link]

[75] Xinyu Wan et al., “A Hybrid Model for Real-Time Probabilistic Flood Forecasting using Elman Neural Network with Heterogeneity of Error Distributions,” Water Resources Management, vol. 33, no. 11, pp. 4027-4050, 2019.
[CrossRef] [Google Scholar] [Publisher Link]

[76] Seung-Hyun Moon et al., “Application of Machine Learning to an Early Warning System for Very Short-Term Heavy Rainfall,” Journal of Hydrology, vol. 568, pp. 1042-1054, 2019.
[CrossRef] [Google Scholar] [Publisher Link]

[77] K.W. Ng et al., “A Review of Hybrid Deep Learning Applications for Streamflow Forecasting,” Journal of Hydrology, vol. 625, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[78] Trushnamayee Nanda et al., “A Wavelet-based Non-Linear Autoregressive with Exogenous Inputs (WNARX) Dynamic Neural Network Model for Real-Time Flood Forecasting using Satellite-based Rainfall Products,” Journal of Hydrology, vol. 539, pp. 57-73, 2016.
[CrossRef] [Google Scholar] [Publisher Link]

[79] Sandeep Samantaray, Abinash Sahoo, and Ankita Agnihotri, “Prediction of Flood Discharge using Hybrid PSO-SVM Algorithm in Barak River Basin,” MethodsX, vol. 10, pp. 1-21, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[80] Wandee Thaisiam, Konlawat Yomwilai, and Papis Wongchaisuwat, “Utilizing Sequential Modeling in Collaborative Method for Flood Forecasting,” Journal of Hydrology, vol. 636, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[81] Sagnik Anupam, and Padmini Pani, “Flood Forecasting using a Hybrid Extreme Learning Machine-Particle Swarm Optimization Algorithm (ELM-PSO) Model,” Modeling Earth Systems and Environment, vol. 6, no. 1, pp. 341-347, 2019.
[CrossRef] [Google Scholar] [Publisher Link]

[82] Xin Ma, Hao Hu, and Yufeng Ren, “A Hybrid Deep Learning Model based on Feature Capture of Water Level Influencing Factors and Prediction Error Correction for Water Level Prediction of Cascade Hydropower Stations Under Multiple Time Scales,” Journal of Hydrology, vol. 617, 2023.
[CrossRef] [Google Scholar] [Publisher Link]

[83] Nazli Mohd Khairudin et al., “Hybrid Machine Learning Model based on Feature Decomposition and Entropy Optimization for Higher Accuracy Flood Forecasting,” International Journal of Advances in Intelligent Informatics, vol. 10, no. 1, pp. 1-12, 2024.
[CrossRef] [Google Scholar] [Publisher Link]

[84] Xinxin He et al., “A Hybrid Model based on Variational Mode Decomposition and Gradient Boosting Regression Tree for Monthly Runoff Forecasting,” Water Resources Management, vol. 34, no. 2, pp. 865-884, 2020.
[CrossRef] [Google Scholar] [Publisher Link]

[85] Liye Xiao et al., “A Hybrid Model based on Data Preprocessing for Electrical Power Forecasting,” International Journal of Electrical Power and Energy Systems, vol. 64, pp. 311-327, 2015.
[CrossRef] [Google Scholar] [Publisher Link]

[86] Tian Peng et al., “Multi-Step Ahead Wind Speed Forecasting using a Hybrid Model based on Two-Stage Decomposition Technique and Adaboost-Extreme Learning Machine,” Energy Conversion and Management, vol. 153, pp. 589-602, 2017.
[CrossRef] [Google Scholar] [Publisher Link]

[87] Kwok Wing Chau, C.L. Wu, and Yok Sheung Li, “Comparison of Several Flood Forecasting Models in Yangtze River,” Journal of Hydrologic Engineering, vol. 10, no. 6, pp. 485-491, 2005.
[CrossRef] [Google Scholar] [Publisher Link]

[88] Linda See, and Stan Openshaw, “A Hybrid Multi-Model Approach to River Level Forecasting,” Hydrological Sciences Journal, vol. 45, no. 4, pp. 523-536, 2000.
[CrossRef] [Google Scholar] [Publisher Link]

[89] Sharad Kumar Jain et al., “A Brief Review of Flood Forecasting Techniques and their Applications,” International Journal of River Basin Management, vol. 16, no. 3, pp. 329-344, 2018.
[CrossRef] [Google Scholar] [Publisher Link]

[90] Ajanaw Negese et al., “Potential Flood-Prone Area Identification and Mapping using GIS-based Multi-Criteria Decision-Making and Analytical Hierarchy Process in Dega Damot District, Northwestern Ethiopia,” Applied Water Science, vol. 12, no. 12, pp. 1-21, 2022.
[CrossRef] [Google Scholar] [Publisher Link]

[91] S.F. Balica et al., “Parametric and Physically based Modelling Techniques for Flood Risk and Vulnerability Assessment: A Comparison,” Environmental Modelling and Software, vol. 41, pp. 84-92, 2013.
[CrossRef] [Google Scholar] [Publisher Link]

[92]  Daniel Constantin Diaconu, Romulus Costache, and Mihnea Cristian Popa, “An Overview of Flood Risk Analysis Methods,” Water, vol. 13, no. 4, pp. 1-13, 2021.
[
CrossRef] [Google Scholar] [Publisher Link]

[93] Felix Ndidi Nkeki, Ehiaguina Innocent Bello, and Ishola Ganiy Agbaje, “Is the Existing Methods Sustainable? A Hybrid Approach to Flood Risk Mapping,” MethodsX, vol. 11, pp. 1-21, 2023.
[
CrossRef] [Google Scholar] [Publisher Link]

[94] Karim I. Abdrabo et al., “Integrated Methodology for Urban Flood Risk Mapping at the Microscale in Ungauged Regions: A Case Study of Hurghada, Egypt,” Remote Sensing, vol. 12, no. 21, pp. 1-22, 2020.
[
CrossRef] [Google Scholar] [Publisher Link]

[95] Xuejin Ying et al., “Sub-Catchment-based Urban Flood Risk Assessment with a Multi-Index Fuzzy Evaluation Approach: A Case Study of Jinjiang District, China,” Geomatics, Natural Hazards and Risk, vol. 14, no. 1, pp. 1-23, 2023.
[
CrossRef] [Google Scholar] [Publisher Link]

[96] George Papaioannou et al., “A Flood Inundation Modeling Approach for Urban and Rural Areas in Lake and Large-Scale River Basins,” Water, vol. 13, no. 9, pp. 1-26, 2021.
[
CrossRef] [Google Scholar] [Publisher Link]

[97] Cristiana Ichim et al., “Approaching Flood Risk Management by Creating a Three-Dimensional Model at the Level of a Watershed,” Land, vol. 14, no. 2, pp. 1-19, 2025.
[
CrossRef] [Google Scholar] [Publisher Link]

[98] Parag P. Bhagwat, and Rajib Maity, “Multistep-Ahead River Flow Prediction using LS-SVR at Daily Scale,” Journal of water Resource and Protection, vol. 4, no. 7, pp. 528-539, 2012.
[
CrossRef] [Google Scholar] [Publisher Link]

[99] Xuan-Hien Le et al., “Application of Long Short-Term Memory (LSTM) Neural Network for Flood Forecasting,” Water, vol. 11, no. 7, pp. 1-19, 2019.
[
CrossRef] [Google Scholar] [Publisher Link]

[100] A.F. Atiya et al., “A Comparison Between Neural-Network Forecasting Techniques-Case Study: River Flow Forecasting,” IEEE Transactions on Neural Networks, vol. 10, no. 2, pp. 402-409, 1999.
[
CrossRef] [Google Scholar] [Publisher Link]

[101] N. Zaini et al., “Daily River Flow Forecasting with Hybrid Support Vector Machine–Particle Swarm Optimization,” IOP Conference Series: Earth and Environmental Science, vol. 140, no. 1, pp. 1-8, 2018.
[
CrossRef] [Google Scholar] [Publisher Link]

[102] Bibhuti Bhusan Sahoo et al., “Long Short-Term Memory (LSTM) Recurrent Neural Network for Low-Flow Hydrological Time Series Forecasting,” Acta Geophysica, vol. 67, pp. 1471-1481, 2019.
[
CrossRef] [Google Scholar] [Publisher Link]

[103] Hassanuddin Mohamed Noor et al., “Rainfall-based River Flow Prediction using NARX in Malaysia,” 2017 IEEE 13th International Colloquium on Signal Processing and its Applications (CSPA), Penang, Malaysia, pp. 67-72, 2017.
[
CrossRef] [Google Scholar] [Publisher Link]

[104] Qianqian Zhang et al., “Predictive Models for Wastewater Flow Forecasting based on Time Series Analysis and Artificial Neural Network,” Water Science and Technology, vol. 80, no. 2, pp. 243-253, 2019.
[
CrossRef] [Google Scholar] [Publisher Link]

[105] Ismaila B. Tijani et al., “Nonlinear Identification of a Small Scale Unmanned Helicopter using Optimized NARX Network with Multiobjective Differential Evolution,” Engineering Applications of Artificial Intelligence, vol. 33, pp. 99-115, 2014.
[
CrossRef] [Google Scholar] [Publisher Link]

[106] Grzegorz Marcjasz, Bartosz Uniejewski, and Rafał Weron, “On the Importance of the Long-Term Seasonal Component in Day-Ahead Electricity Price Forecasting with NARX Neural Networks,” International Journal of Forecasting, vol. 35, no. 4, pp. 1520-1532, 2019.
[
CrossRef] [Google Scholar] [Publisher Link]

[107] Muhammad Ardalani-Farsa, and Saeed Zolfaghari, “Chaotic time Series Prediction with Residual Analysis Method using Hybrid Elman–NARX Neural Networks,” Neurocomputing, vol. 73, no. 13-15, pp. 2540-2553, 2010.
[
CrossRef] [Google Scholar] [Publisher Link]

[108] Annalisa Di Piazza, Maria Carmela Di Piazza, and Gianpaolo Vitale, “Solar and Wind Forecasting by NARX Neural Networks,” Renewable Energy and Environmental Sustainability, vol. 1, pp. 1-5, 2016.
[
CrossRef] [Google Scholar] [Publisher Link]

[109] Fabio Di Nunno et al., “Prediction of Spring Flows using Nonlinear Autoregressive Exogenous (NARX) Neural Network Models,” Environmental Monitoring and Assessment, vol. 193, no. 6, 2021.
[
CrossRef] [Google Scholar] [Publisher Link]

[110] Andreas Wunsch, Tanja Liesch, and Stefan Broda, “Forecasting Groundwater Levels using Nonlinear Autoregressive Networks with Exogenous Input (NARX),” Journal of Hydrology, vol. 567, pp. 743-758, 2018.
[
CrossRef] [Google Scholar] [Publisher Link]

[111] Andreas Wunsch, Tanja Liesch, and Stefan Broda, “Groundwater Level Forecasting with Artificial Neural Networks: A Comparison of Long Short-Term Memory (LSTM), Convolutional Neural Networks (CNNs), and Non-Linear Autoregressive Networks with Exogenous Input (NARX),” Hydrology and Earth System Sciences, vol. 25, no. 3, pp. 1671-1687. 2021.
[
CrossRef] [Google Scholar] [Publisher Link]

[112] Sella Nevo et al., “Flood Forecasting with Machine Learning Models in an Operational Framework,” Hydrology and Earth System Sciences, vol. 26, no. 15, pp. 4013-4032, 2022.
[
CrossRef] [Google Scholar] [Publisher Link]

[113] Derrick Bonafilia et al., “Sen1Floods11: A Georeferenced Dataset to Train and Test Deep Learning Flood Algorithms for Sentinel-1,” 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), Seattle, WA, USA, pp. 835-845, 2020.
[
CrossRef] [Google Scholar] [Publisher Link]

[114] Paul Muñoz et al., “Flood Early Warning Systems using Machine Learning Techniques: The Case of the Tomebamba Catchment at the Southern Andes of Ecuador,” Hydrology, vol. 8, no. 4, pp. 1-20, 2021.
[
CrossRef] [Google Scholar] [Publisher Link]

[115] Mahdi Panahi et al., “Flood Spatial Prediction Modeling using a Hybrid of Meta-Optimization and Support Vector Regression Modeling,” Catena, vol. 199, 2021.
[
CrossRef] [Google Scholar] [Publisher Link]

[116] Alireza Arabameri et al., “Modeling Spatial Flood using Novel Ensemble Artificial Intelligence Approaches in Northern Iran,” Remote Sensing, vol. 12, no. 20, pp. 1-30, 2020.
          [
CrossRef] [Google Scholar] [Publisher Link]