Enhanced wave overtopping simulation at vertical breakwaters using machine learning algorithms

Accurate prediction of wave overtopping at sea defences remains central to the protection of lives, livelihoods, and infrastructural assets in coastal zones. In addressing the increased risks of rising sea levels and more frequent storm surges, robust assessment and prediction methods for overtopping prediction are increasingly important. Methods for predicting overtopping have typically relied on empirical relations based on physical modelling and numerical simulation data. In recent years, with advances in computational efficiency, data-driven techniques including advanced Machine Learning (ML) methods have become more readily applicable. However, the methodological appropriateness and performance evaluation of ML techniques for predicting wave overtopping at vertical seawalls has not been extensively studied. This study examines the predictive performance of four ML techniques, namely Random Forest (RF), Gradient Boosted Decision Trees (GBDT), Support Vector Machines—Regression (SVR), and Artificial Neural Network (ANN) for overtopping discharge at vertical seawalls. The ML models are developed using data from the EurOtop (2018) database. Hyperparameter tuning is performed to curtail algorithms to the intrinsic features of the dataset. Feature Transformation and advanced Feature Selection methods are adopted to reduce data redundancy and overfitting. Comprehensive statistical analysis shows superior performance of the RF method, followed in turn by the GBDT, SVR, and ANN models, respectively. In addition to this, Decision Tree (DT) based methods such as GBDT and RF are shown to be more computationally efficient than SVR and ANN, with GBDT performing simulations more rapidly that other methods. This study shows that ML approaches can be adopted as a reliable and computationally effective method for evaluating wave overtopping at vertical seawalls across a wide range of hydrodynamic and structural conditions.

[1]  Intergovernmental Panel on Climate Change Climate Change 2021 – The Physical Science Basis , 2023 .

[2]  M. Habib,et al.  Data-driven approaches in predicting scour depths at a vertical seawall on a permeable shingle foreshore , 2023, Journal of Coastal Conservation.

[3]  Jennifer M. Brown,et al.  Comparison of deep-water-parameter-based wave overtopping with wirewall field measurements and social media reports at Crosby (UK) , 2022, Coastal Engineering.

[4]  J. O'Sullivan,et al.  New insights in the probability distributions of wave-by-wave overtopping volumes at vertical breakwaters , 2022, Scientific Reports.

[5]  Songgui Chen,et al.  Analysis of Factors Influencing Wave Overtopping Discharge from Breakwater Based on an MIV-BP Estimation Model , 2022, Water.

[6]  M. Salauddin,et al.  Numerical modelling of breaking wave impact loads on a vertical seawall retrofitted with different geometrical configurations of recurve parapets , 2022, Journal of Water and Climate Change.

[7]  A. Daneshkhah,et al.  Gaussian process emulation of spatio-temporal outputs of a 2D inland flood model. , 2022, Water research.

[8]  J. O'Sullivan,et al.  Prediction of Wave Overtopping Characteristics at Coastal Flood Defences Using Machine Learning Algorithms: A Systematic Rreview , 2022, IOP Conference Series: Earth and Environmental Science.

[9]  Gang Liu,et al.  Comparative analysis of seven machine learning algorithms and five empirical models to estimate soil thermal conductivity , 2022, Agricultural and Forest Meteorology.

[10]  R. Noori,et al.  An Efficient Data Driven-Based Model for Prediction of the Total Sediment Load in Rivers , 2022, Hydrology.

[11]  Mohamed A. Hamouda,et al.  Uncertainty quantification of granular computing-neural network model for prediction of pollutant longitudinal dispersion coefficient in aquatic streams , 2021, Scientific Reports.

[12]  S. Kouadri,et al.  Applications of various data-driven models for the prediction of groundwater quality index in the Akot basin, Maharashtra, India , 2021, Environmental Science and Pollution Research.

[13]  S. Abolfathi,et al.  Spatial distribution of wave-by-wave overtopping behind vertical seawall with recurve retrofitting , 2021 .

[14]  Corinne Le Quéré,et al.  Climate Change 2013: The Physical Science Basis , 2013 .

[15]  A. Etemad-Shahidi,et al.  Prediction of mean wave overtopping at simple sloped breakwaters using kernel-based methods , 2021, Journal of Hydroinformatics.

[16]  J. O'Sullivan,et al.  Eco-Engineering of Seawalls—An Opportunity for Enhanced Climate Resilience From Increased Topographic Complexity , 2021, Frontiers in Marine Science.

[17]  Myung-Jin Jun,et al.  A comparison of a gradient boosting decision tree, random forests, and artificial neural networks to model urban land use changes: the case of the Seoul metropolitan area , 2021, Int. J. Geogr. Inf. Sci..

[18]  Jaydeo K. Dharpure,et al.  Prediction of Combined Terrestrial Evapotranspiration Index (CTEI) over Large River Basin Based on Machine Learning Approaches , 2021, Water.

[19]  W S McCulloch,et al.  A logical calculus of the ideas immanent in nervous activity , 1990, The Philosophy of Artificial Intelligence.

[20]  Sooyoul Kim,et al.  Refinement of integrated formula of wave overtopping and runup modeling , 2021 .

[21]  Saman Maroufpoor,et al.  Artificial intelligence approach to estimating rice yield * , 2021, Irrigation and Drainage.

[22]  Salauddin,et al.  EFFECTIVENESS OF ECO-RETROFITS IN REDUCING WAVE OVERTOPPING ON SEAWALLS , 2020, Coastal Engineering Proceedings.

[23]  Joost P. den Bieman,et al.  Wave overtopping predictions using an advanced machine learning technique , 2020 .

[24]  Tomohiro Suzuki,et al.  Relative Magnitude of Infragravity Waves at Coastal Dikes with Shallow Foreshores: A Prediction Tool , 2020, Journal of Waterway, Port, Coastal, and Ocean Engineering.

[25]  H. Mase,et al.  Determination of Semi-Empirical Models for Mean Wave Overtopping Using an Evolutionary Polynomial Paradigm , 2020 .

[26]  L. Kumar,et al.  Mapping shoreline change using machine learning: a case study from the eastern Indian coast , 2020, Acta Geophysica.

[27]  Joost P. den Bieman,et al.  Prediction of Mean Wave Overtopping Discharge Using Gradient Boosting Decision Trees , 2020, Water.

[28]  J. Pearson,et al.  A LABORATORY STUDY ON WAVE OVERTOPPING AT VERTICAL SEAWALLS WITH A SHINGLE FORESHORE , 2018, Coastal Engineering Proceedings.

[29]  Ahmad Sharafati,et al.  The Integration of Nature-Inspired Algorithms with Least Square Support Vector Regression Models: Application to Modeling River Dissolved Oxygen Concentration , 2018, Water.

[30]  S. Abolfathi,et al.  The Influence of Geometrical Shape Changes on Wave Overtopping: a Laboratory and SPH Numerical Study , 2018 .

[31]  Shulin Wang,et al.  Feature selection in machine learning: A new perspective , 2018, Neurocomputing.

[32]  W. Tong,et al.  Comparing SVM and ANN based Machine Learning Methods for Species Identification of Food Contaminating Beetles , 2018, Scientific Reports.

[33]  Liang Yuan,et al.  A comparative approach to modelling multiple urban land use changes using tree-based methods and cellular automata: the case of Greater Tokyo Area , 2018, Int. J. Geogr. Inf. Sci..

[34]  C. Altomare,et al.  Prediction formula for the spectral wave period T m-1,0 on mildly sloping shallow foreshores , 2017 .

[35]  Barbara Zanuttigh,et al.  A Neural Network Tool for Predicting Wave Reflection, Overtopping and Transmission , 2017 .

[36]  Barbara Zanuttigh,et al.  Prediction of extreme and tolerable wave overtopping discharges through an advanced neural network , 2016 .

[37]  Pablo A. Estévez,et al.  A review of feature selection methods based on mutual information , 2013, Neural Computing and Applications.

[38]  K. Roushangar,et al.  Evaluation of GA-SVR method for modeling bed load transport in gravel-bed rivers , 2015 .

[39]  Geoffrey E. Hinton,et al.  Deep Learning , 2015, Nature.

[40]  Rahul Khanna,et al.  Efficient Learning Machines , 2015, Apress.

[41]  Tom Bruce,et al.  New Physical Insights and Design Formulas on Wave Overtopping at Sloping and Vertical Structures , 2014 .

[42]  C.-L. Cheng,et al.  Coefficient of determination for multiple measurement error models , 2014, J. Multivar. Anal..

[43]  S. Temmerman,et al.  Ecosystem-based coastal defence in the face of global change , 2013, Nature.

[44]  De-Shuang Huang,et al.  Normalized Feature Vectors: A Novel Alignment-Free Sequence Comparison Method Based on the Numbers of Adjacent Amino Acids , 2013, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[45]  Jungho Im,et al.  Characterization of Forest Crops with a Range of Nutrient and Water Treatments Using AISA Hyperspectral Imagery , 2012 .

[46]  Peter A. Troch,et al.  Probability distribution of individual wave overtopping volumes for smooth impermeable steep slopes with low crest freeboards , 2012 .

[47]  Gaël Varoquaux,et al.  Scikit-learn: Machine Learning in Python , 2011, J. Mach. Learn. Res..

[48]  Yoshua Bengio,et al.  Understanding the difficulty of training deep feedforward neural networks , 2010, AISTATS.

[49]  M. C. Deo,et al.  Wave simulation and forecasting using wind time history and data-driven methods , 2010 .

[50]  Som Dutta,et al.  Prediction of longitudinal dispersion coefficients in natural rivers using genetic algorithm , 2009 .

[51]  A. Etemad-Shahidi,et al.  COMPARISON BETWEEN M5 MODEL TREE AND NEURAL NETWORKS FOR PREDICTION OF SIGNIFICANT WAVE HEIGHT IN LAKE SUPERIOR , 2009 .

[52]  Fan Yang,et al.  Using random forest for reliable classification and cost-sensitive learning for medical diagnosis , 2009, BMC Bioinformatics.

[53]  J. R. Jensen,et al.  Delineation of climate regions using in-situ and remotely-sensed data for the Carolinas , 2008 .

[54]  Julien De Rouck,et al.  Combined classifier–quantifier model: A 2-phases neural model for prediction of wave overtopping at coastal structures , 2008 .

[55]  Holger Schüttrumpf,et al.  EurOtop, European Overtopping Manual - Wave overtopping of sea defences and related structures: Assessment manual , 2007 .

[56]  Kwok-wing Chau,et al.  A review on integration of artificial intelligence into water quality modelling. , 2006, Marine pollution bulletin.

[57]  H. Boogaard,et al.  NEURAL NETWORK MODELLING OF WAVE OVERTOPPING AT COASTAL STRUCTURES , 2005 .

[58]  D. Ruppert The Elements of Statistical Learning: Data Mining, Inference, and Prediction , 2004 .

[59]  Eric R. Ziegel,et al.  The Elements of Statistical Learning , 2003, Technometrics.

[60]  Christopher J. C. Burges,et al.  A Tutorial on Support Vector Machines for Pattern Recognition , 1998, Data Mining and Knowledge Discovery.

[61]  Ron Kohavi,et al.  Wrappers for Feature Subset Selection , 1997, Artif. Intell..

[62]  Pat Langley,et al.  Selection of Relevant Features and Examples in Machine Learning , 1997, Artif. Intell..

[63]  Leopoldo Franco,et al.  Wave Overtopping on Vertical and Composite Breakwaters , 1995 .

[64]  J. William Ahwood,et al.  CLASSIFICATION , 1931, Foundations of Familiar Language.

[65]  S. Abolfathi,et al.  Machine Learning as a Downscaling Approach for Prediction of Wind Characteristics under Future Climate Change Scenarios , 2022, Complexity.

[66]  Trevor Hastie,et al.  An Introduction to Statistical Learning , 2013, Springer Texts in Statistics.

[67]  H. Nguyen-Xuan,et al.  Numerical study on wave forces and overtopping over various seawall structures using advanced SPH-based method , 2021 .

[68]  Guigang Zhang,et al.  Deep Learning , 2016, Int. J. Semantic Comput..

[69]  Amir Etemad-Shahidi,et al.  Derivation of a New Model for Prediction of Wave Overtopping at Rubble Mound Structures , 2012 .

[70]  Ute Roessner,et al.  Metabolomics - The combination of analytical biochemistry, biology, and informatics , 2011 .

[71]  C. Sutton Classification and Regression Trees, Bagging, and Boosting , 2005 .

[72]  Huan Liu,et al.  Feature Transformation and Dimensionality Reduction , 1998 .

[73]  Ron Kohavi,et al.  Feature Selection for Knowledge Discovery and Data Mining , 1998 .