Modeling Beach Rotation Using a Novel Legendre Polynomial Feedforward Neural Network Trained by Nonlinear Constrained Optimization
A Legendre polynomial feedforward neural network is proposed to model/predict beach rotation. The study area is the reef-fronted Ammoudara beach, located at the northern coastline of Crete Island (Greece). Specialized experimental devices were deployed to generate a set of input-output data concerning the inshore bathymetry, the wave conditions and the shoreline position. The presence of the fronting beachrock reef (parallel to the shoreline) increases complexity and imposes high non-linear effects. The use of Legendre polynomials enables the network to capture data non-linearities. However, in order to maintain specific functional requirements, the connection weights must be confined within a pre-determined domain of values; it turns out that the network’s training process constitutes a constrained nonlinear programming problem, solved by the barrier method. The performance of the network is compared to other two neural-based approaches. Simulations show that the proposed network achieves a superior performance, which could be improved if an additional wave parameter (wave direction) was to be included in the input variables.
KeywordsBeach rotation Feedforward neural network Legendre polynomials Perched beach Nonlinear constrained optimization
- 4.Klein, A.H.F., Filho, L.B., Schumacher, D.H.: Seasonal-term beach rotation processes in distinct Headland Bay systems. J. Coast. Res. 18(3), 442–458 (2002)Google Scholar
- 5.Harley, M.D., Turner, I.L., Short, A.D.: New insights into embayed beach rotation: The importance of wave exposure and cross-shore processes. J. Geophys. Res. 120(8), 16 (2015)Google Scholar
- 8.Velegrakis, A.F., Trygonis, V., Chatzipavlis, A.E., Karambas, Th., Vousdoukas, M.I., Ghionis, G., Monioudi, I.N., Hasiotis, Th., Andreadis, O., Psarros, F.: Shoreline variability of an urban beach fronted by a beachrock reef from video imagery. Natural Hazards (2016). doi:10.1007/s11069-016-2415-9