Abstract

Investigation of quantitative predictions of precipitation amounts and forecasts of drought events are conducive to facilitating early drought warnings. However, there has been limited research into or modern statistical analyses of precipitation and drought over Northeast China, one of the most important grain production regions. Therefore, a case study at three meteorological sites which represent three different climate types was explored, and we used time series analysis of monthly precipitation and the grey theory methods for annual precipitation during 1967–2017. Wavelet transformation (WT), autoregressive integrated moving average (ARIMA) and long short-term memory (LSTM) methods were utilized to depict the time series, and a new hybrid model wavelet-ARIMA-LSTM (W-AL) of monthly precipitation time series was developed. In addition, GM (1, 1) and DGM (1, 1) of the China Z-Index (CZI) based on annual precipitation were introduced to forecast drought events, because grey system theory specializes in a small sample and results in poor information. The results revealed that (1) W-AL exhibited higher prediction accuracy in monthly precipitation forecasting than ARIMA and LSTM; (2) CZI values calculated through annual precipitation suggested that more slight drought events occurred in Changchun while moderate drought occurred more frequently in Linjiang and Qian Gorlos; (3) GM (1, 1) performed better than DGM (1, 1) in drought event forecasting.

Highlights

  • As one of the most destructive natural calamities, drought occurs when rainfall amounts are below normal for a long period

  • We develop a new hybrid method for time series forecasting that combines the strengths of wavelet transformation, autoregressive integrated moving average (ARIMA) and long shortterm memory (LSTM)

  • The rainfall time series data are separated into two detailed subseries and one approximate subseries by db4 mother wavelet, which is a frequently used wavelet for the Discrete Wavelet Transformation (DWT)

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Summary

Introduction

As one of the most destructive natural calamities, drought occurs when rainfall amounts are below normal for a long period. The characteristics are high frequency, long duration, wide influence [1,2], and damaging effects on grain yields and water supplies, so it is of great significance to model and forecast the rainfall amount and drought. Accurate precipitation predictions are required for the precise estimation of drought in an area [3]. More accurate and timely rainfall prediction can boost drought research, while greatly improving future water management policies in many ways. Stochastic and highly complex nature of rainfall data, timely and exact rainfall forecasting has remained a challenging task, and more complex technologies are needed.

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