Lake Water Level Prediction Model Based on Artificial Intelligence and Classical Techniques – An Empirical Study on Lake Volta Basin, Ghana

Authors

  • Michael Stanley Peprah
  • Edwin Kojo Larbi

Keywords:

Artificial Intelligence, Lake Volta Basin, Time Series Analysis, Water Level Modelling

Abstract

Several studies in the past and recent years have suggested numerous mathematical models
for Lake Water Level (LWL) modelling to a good precision. This study considered an
empirical evaluation of Artificial Intelligence and Classical Techniques such as Wavelet
Transform (WT), Bayesian Regularization Backpropagation Artificial Neural Network
(BRBPANN), Levenberg-Marquardt Backpropagation Artificial Neural Network
(LMBPANN), Scaled Conjugate-Gradient Backpropagation Artificial Neural Network
(SCGBPANN), Radial Basis Functions Artificial Neural Network (RBFANN), Generalized
Regression Artificial Neural Network (GRANN), Multiple Linear Regression (MLR), and
Autoregressive Integrated Moving Average (ARIMA) for LWL modelling. The motive is to
apply and assess for the first time in our study area, the working efficiency of the
aforementioned techniques. Satellite altimetry data provided by the United States
Department of Agriculture was used in this study. The input and output variables used in this
study were the decomposed LWL by the WT. Each model technique was assessed based on
statistical measures such as Arithmetic Mean Error (AME), Arithmetic Mean Square Error
(AMSE), arithmetic mean absolute percentage deviation (AMAPD), minimum error value
(rmin), maximum error value (rmax), and arithmetic standard deviation (ASD). The statistical
analysis of the results revealed that, all the hybridized models successfully estimate the LWL
heights at a good precision for the study area. However, Discrete Wavelet Transform (DWT)-
MLR model outperforms DWT-BRBPANN, DWT-LMBPANN, DWT-SCGBPANN,
DWT-RBFANN, DWT-GRANN, and DWT-ARIMA techniques in estimating the LWL
heights for the study area. In terms of AME, AMSE and ASD, DWT-MLR achieved 0.1988
m, 0.0024 m, and 0.0017 m respectively. The main conclusion drawn from this study is that,
the method of using novel ensemble models is promising and can be adopted for LWL
modelling in the study area. This study seeks to contribute to the existing knowledge on
understanding the hydrodynamic processes in Lake Volta Basin and support water resource
management.

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Y, Z). Mathematical Geosciences 48, 687-721.

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2020-12-15