Regional sea level change prediction based on time-frequency analysis and intelligent algorithm

The statistical forecasting model based on time series is one of the main means of sea level forecasting at present stage. However, the mechanism of sea level change is complex. The traditional method has some limitations for non-stationary nonlinear time series forecasting, and the prediction accuracy needs to be further improved. In this paper, we use the monthly mean tide level series from Zhapo Station (1959 ~ 2011), and combine the Ensemble Empirical Mode Decomposition(EEMD), Genetic Algorithm (GA) and Back Propagation (BP) Neural Network to propose a improved EEMD-GA-BP method for regional sea level change prediction. In this study, the EEMD method was used to decompose the original series and generate multiple intrinsic mode functions (IMF) according to different spectral characteristics of signals implied in the tide level series, to stabilize the time series, and improve signal to noise ratio. GA is used to optimize the weights and thresholds of BP Neural Network, due to the difficulty of determining the initial weight and threshold in BP Neural Network. Taking each IMF as the input factor of BP Neural Network, the future trend of each IMF is predicted respectively. Finally, the output of the IMF is reconstructed to obtain the predicted value of the original series. The results show that EEMD can effectively extract multi-time scale signals implicit in the series. BP Neural Network optimized by GA can well predict the future trend of sea level. Compared with the direct use of BP Neural Network algorithm, the use of EEMD for non-stationary non-linear time series smoothing, noise reduction and other processing can effectively improve the prediction accuracy. The use of GA optimize BP Neural Network can improve the accuracy. The EEMD-GA-BP algorithm provides a realistic meaning for the prediction of regional sea level change.

[1]  ACCELERATION OF SEA LEVEL RISE OVER MALAYSIAN SEAS FROM SATELLITE ALTIMETER , 2016 .

[2]  A. Cazenave,et al.  Sea-Level Rise and Its Impact on Coastal Zones , 2010, Science.

[3]  Dorothea Heiss-Czedik,et al.  An Introduction to Genetic Algorithms. , 1997, Artificial Life.

[4]  A. Cazenave,et al.  Sea level rise and its coastal impacts , 2014 .

[5]  George P. Petropoulos,et al.  Forecasting Arabian Sea level rise using exponential smoothing state space models and ARIMA from TOPEX and Jason satellite radar altimeter data , 2016 .

[6]  Geoffrey E. Hinton,et al.  Learning representations by back-propagating errors , 1986, Nature.

[7]  S. Solomon The Physical Science Basis : Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change , 2007 .

[8]  Gabriel Rilling,et al.  Empirical mode decomposition as a filter bank , 2004, IEEE Signal Processing Letters.

[9]  R. DeConto,et al.  Contribution of Antarctica to past and future sea-level rise , 2016, Nature.

[10]  Norden E. Huang,et al.  Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method , 2009, Adv. Data Sci. Adapt. Anal..

[11]  Joseph Hamman,et al.  Combined Effects of Projected Sea Level Rise, Storm Surge, and Peak River Flows on Water Levels in the Skagit Floodplain , 2016, Northwest Science.

[12]  Ami Hassan Md Din,et al.  Long-term sea level change in the Malaysian seas from multi-mission altimetry data , 2012 .

[13]  Sujit Basu,et al.  Prediction of Sea Level Anomaly in the Arabian Sea Using Genetic Algorithm , 2011 .

[14]  Mingsen Lin,et al.  A study of long-term sea level variability in the East China Sea , 2015, Acta Oceanologica Sinica.

[15]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[16]  Brent Yarnal,et al.  Vulnerability of Hampton Roads, Virginia to Storm-Surge Flooding and Sea-Level Rise , 2007 .

[17]  Jens Schröter,et al.  Reconstruction of regional mean sea level anomalies from tide gauges using neural networks , 2010 .

[18]  A. Cazenave,et al.  Contribution of climate-driven change in continental water storage to recent sea-level rise , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[19]  W. Munk Twentieth century sea level: An enigma , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[20]  Robert E. Kopp,et al.  Allowances for evolving coastal flood risk under uncertain local sea-level rise , 2015, Climatic Change.

[21]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[22]  Anny Cazenave,et al.  Present‐day sea level change: Observations and causes , 2004 .