Prediction of the multi-level beach cusp spacing using artificial neural networks

Document Type : Research Article

Authors

1 Assistant professor, Department of Marine Science and Technology, Jouybar Branch, Islamic Azad University, Jouybar, Iran

2 Assistant professor, Department of Computer Engineering, Jouybar Branch, Islamic Azad University, Jouybar, Iran

Abstract

Beach cusps are rhythmic wave-shaped features usually observable on the beach face. These features in the swash zone are so variable in terms of space and time due to wave attacks and tides. In this study, an artificial neural network was used to fully understand the behavior of multi-level beach cusps on the beach face. A neural network is a soft computing method for solving problems as an intelligent system that can learn, remember, and create relationships between different data. In this research, the parameters related to the beach cusps were recorded as the input of the neural network model, including the cusp amplitude, cusp elevation, and cusp depth in the lower, middle, and upper levels of the beach, as well as the cusps spacing as the output of the model. To achieve the goal of this research to predict the cusps spacing, the performance of three back-propagation neural network models was investigated in different functions and neurons. Then, relevant statistical criteria were calculated and compared at each stage. Back-propagation learning is an iterative search process that adjusts the weights from the output layer to the input layer in each run until no further improvement in the error value is found. The main results of this research indicate an excellent agreement between the results of the neural network model and the recorded values of the cusps spacing in the field observations. The comparison of the scatter plots related to the values of the predicted spacings of beach cusps against the values of the observed spacings in different parts of the swash zone on the beach face indicates that the accuracy of the results of the neural network in the upper part of the beach face is the highest. These results are perfectly consistent with other researchers' results who introduced the lower part affected by tides. The evaluation of the graphs related to the trend of statistical criteria changes in different neural network models in the whole simulation indicates that the accuracy of neural network results is the highest to the lowest in Elman back propagation (Elman BP), Feed-forward back propagation, and CFBP, respectively. Scatter plots related to the predicted spacings of cusps by the Cascade-forward back propagation (CFBP) model (lm optimum function) against other parameters of beach cusps show that there is a strong correlation between the cusps spacing with all the morphological parameters of the beach cusps system, especially the cusp elevation on the beach face. Another result of this research using a comparison of the radar charts related to different statistical criteria in the different stages indicates that the functions provide various accuracy in the predicted results depending on the type of selected models in the different stages of the testing, evaluation, and training.

Keywords


Casella, E., Drechsel, J., Winter, C., Benninghoff, M, Rovere, A., 2020, Accuracy of sand beach topography surveying by drones and photogrammetry. Geo-Marine Lett, 40(2):255–68.
Puleo, J.A., Beach, R.A., Holman, R.A., Allen, J.S., 2000, Swash zone sediment suspension and transport and the importance of bore-generated turbulence. J Geophys Res Ocean, 105(C7):17021–44.
Bernabeu Tello, A.M., Santamaría, R.M., Pascual, C.V., 2002, An equilibrium profile model for tidal environments. Sci Mar, 66(4):325–35.
Short, A., 1999, Hand book of beach and shore face morphodynamics. university of Sydney.
Garnier, R., Ortega-Sánchez, M., Losada, M.A., FalquéS, A., Dodd, N., 2010 Beach cusps and inner surf zone processes: Growth or destruction? A case study of Trafalgar Beach (Cádiz, Spain). Sci Mar, 74(3):539–53.
Guza, R.T and Inman, D., 1975, Edge Waves and Beach Cusps. J Geophys Res, 80(21):2997–3012.
Inman, D.L., Guza, R.T., 1982, The origin of swash cusps on beaches. Mar Geol, 49(1–2):133–48.
Ciriano, Y., Coco, G., Bryan, K.R., Elgar, S., 2005, Field observations of swash zone infragravity motions and beach cusp evolution. J Geophys Res Ocean, 110(2):1–10.
Sherman, D.J., Orford, J.D., Carter, R., 1993, Development of cusp-related, gravel size and shape facies at Malin Head, Ireland. Sedimentology, 40(6):1139–52.
Kaneko, A., 1985, Formation of beach cusps in a wave tank. Coast Eng, 9(1):81–98.
Seymour, R.J., Aubrey, D.G., 1985, Rhythmic beach cusp formation: A conceptual synthesis. Mar Geol, 65(3–4):289–304.
Werner, B.T., Fink, T.M., 1993, Beach cusps as self-organized patterns. Science, 260(5110):968–71.
Masselink, G., Pattiaratchi, C., 1997, Morphodynamic impact of sea breeze on a beach with beach cusp morphology. J Coast Res, 22:1139–1156.
Coco, G., O’Hare, T.J., Huntley, D.A., 1999, Beach cusps: A comparison of data and theories for their formation. J Coast Res, 15(3):741–9.
Coco, G., Burnet, T.K., Werner, B.T., Elgar, S., 2003, Test of self-organization in beach cusp formation. J Geophys Res Ocean, 108(3).
Sunamura, T., 2004, A predictive relationship for the spacing of beach cusps in nature. Coast Eng, 51(8–9):697–711.
Short, A.D., 2019, Sandy Beach Morphodynamics Edited [Internet], Available from: https://www.barbadospocketguide.com/barbados-attractions/beaches-and-bays/south-coast-beaches/sandy-beach.html
Nuyts, S., Murphy, J., Li, Z., Hickey, K., 2020, A Methodology to Assess the Morphological Change of a Multilevel Beach Cusp System and their Hydrodynamics: Case Study of Long Strand, Ireland. J Coast Res, 95(sp1):593–8.
Nuyts, S., Li, Z., Hickey, K., Murphy, J., 2021, Field observations of a multilevel beach cusp system and their swash zone dynamics. Geosci, 11(4):1–24.
Nolan, T.J., Kirk, R.M., Shulmeister, J., 1999, Beach cusp morphology on sand and mixed sand and gravel beaches, South Island, New Zealand. Mar Geol, 157(3–4):185–98.
Mandal, S., Prabaharan, N., 2006, Ocean wave forecasting using recurrent neural networks. Ocean Eng, 33(10):1401–10.
Şahin, V., Vardar, N., 2020, Determination of wastewater behavior of large passenger ships based on their main parameters in the pre-design stage. J Mar Sci Eng, 8(8):1–18.
Venkatramanan, S., Chung, S.Y., Selvam, S., Son, J.H., Kim, Y.J., 2017, Interrelationship between geochemical elements of sediment and groundwater at Samrak Park Delta of Nakdong River Basin in Korea: multivariate statistical analyses and artificial neural network approaches. Environ Earth Sci, 76(13).
Haykin, S., 2008, Neural Networks and Learning Machines. Vol. 3, Pearson Prentice Hall New Jersey USA 936 pLinks.. 906 p.
Keiner, L.E., Yan, X.H., 1998, A neural network model for estimating sea surface chlorophyll and sediments from thematic mapper imagery. Remote Sens Environ, 66(2):153–65.
Beale, R., Jackson, T., 1990, Neural Computing: An Introduction. Neural Computing: CRC, Boca Raton, https://doi.org/10.1887/0852742622.
Wang, F., Zhou, B., Xu, J., Song, L., Wang, X., 2009, Application of neural network and MODIS 250 m imagery for estimating suspended sediments concentration in Hangzhou Bay, China. Environ Geol, 56(6):1093–101.
Schmidhuber, J., 2015, Deep Learning in neural networks: An overview. Neural Networks, 61:85–117.
Badde, D.S., Gupta, A., Patki, V.K., 2009, Cascade and Feed Forward Back propagation Artificial Neural Network Models for Prediction of Compressive Strength of Ready Mix Concrete. IOSR J Mech Civ Eng, (2278–1684):1–6.
Howard, D., 2004, Mark B. Neural Network Toolbox Documentation. Neural Netw Tool, 846.