Daily water‐level forecasting for multiple polish lakes using multiple data‐driven models

Abstract

Water level in lakes fluctuates frequently due to the impact of natural and anthropogenic forcing. Frequent fluctuations of water level will impact lake ecosystems, and it is thus of great significance to have a good knowledge of water-level dynamics in lakes. However, forecasting daily water-level fluctuation in lake systems remains a tough task due to its non-linearity and complexity. In this study, two deep data-driven models, including gated recurrent unit (GRU) and long short-term memory (LSTM), were coupled with attention mechanism for the forecasting of daily water level in lakes for the first time. Daily water-level times series in five lowland lakes in Poland were used to evaluate the models. Root mean squared error (RMSE) and mean average error (MAE) were used for the evaluation of model performance. The modelling results were compared with the traditional feed-forward neural networks (FFNN), GRU, LSTM, and zero-order forecast. The modelling results showed that sequential deep learning models do not outperform feed-forward models in all cases. In most cases, LSTM with attention mechanism (average RMSE = 0.88 cm, average MAE = 0.69 cm) outperforms GRU with attention mechanism (average RMSE = 1.00 cm, average MAE = 0.81 cm). However, attention mechanism did not help to improve the accuracy of the GRU and LSTM for most cases. Based on the average performance in different lakes, GRU performs the best among the deep learning models (average RMSE = 0.84 cm, average MAE = 0.66 cm).Zero-order forecast models perform better than deep learning models for predicting tomorrow (average RMSE = 0.71 cm, average MAE = 0.39 cm), while deep learning models perform better as the horizon of prediction increases.

Prediction of Water Level in Lakes by RNN-Based Deep Learning Algorithms to Preserve Sustainability in Changing Climate and Relationship to Microcystin

“…[35]. To confirm the results of this paper, Zhu et al studied 69 lakes in Poland for 30 day ahead water level prediction and concluded that the recurrent DL models performed similarly to attention-based recurrent DL models in terms of predictive performance [60]. The results of the LSTM algorithm between its variants, namely the Stacked LSTM and the Bidirectional LSTM, in the present study show that there is no significant difference in predicting less than 30 days ahead.…”

“…In the future, the performance improvement over the Naïve Benchmark can be tested with other novel models, such as attention-based algorithms or other derivatives. However, the recent attempt to use an attention-based algorithm showed that it did not perform better than a recurrent network [60].…”