长江科学院院报 ›› 2014, Vol. 31 ›› Issue (8): 18-22.DOI: 10.3969/j.issn.1001-5485.2014.08.0042014,31(08):18-22,28

• 水资源与环境 • 上一篇    下一篇

基于小波与游程耦合的时序模型在降水预测中的应用

彭高辉a,韦保磊a,马建琴b   

  1. 华北水利水电大学 a.数学与信息科学学院;
    b.水利学院,郑州 450045
  • 收稿日期:2014-08-12 修回日期:2014-08-12 出版日期:2014-08-01 发布日期:2014-08-12
  • 作者简介:彭高辉(1978-),男,河南新乡人,副教授,硕士,主要从事算法实现与水文分析等,(电话)13598040625(电子信箱)penggaohui@ncwu.edu.cn。
  • 基金资助:
    国家自然基金项目资助(41071025);国家级大学生创新创业训练计划项目(201210078060);河南省教育厅自然科学研究计划项目(2010B120007)

Application of the Coupling Time Series Model Based onWavelet and Runs in Precipitation Forecast

PENG Gao-hui1, WEI Bao-lei1, MA Jian-qin2   

  1. 1.School of Mathematics and Information Science, North China University of Water Resources andElectric Power, Zhengzhou 450045, China;
    2.School of Water Conservancy, North China University ofWater Resources and Electric Power, Zhengzhou 450045, China
  • Received:2014-08-12 Revised:2014-08-12 Published:2014-08-01 Online:2014-08-12

摘要: 针对降水量时间序列具有多尺度非平稳性特点、长时段预测精度不高的问题,选择db3小波,运用Mallat算法2尺度分解降水序列,利用游程分析检验分解序列间的独立性,建立了二者耦合的时序模型,并应用于郑州市2008—2012年的降水预测,得到了相对于传统时序模型更好的结果。基于耦合模型预测了郑州市2013—2015年月均降水量,以期为决策提供依据。

关键词: 降水预测, 小波变换, 游程检验, 耦合模型, ARIMA模型

Abstract: According to the multi-scale and non-stationary features of precipitation time series, we choose db3 wavelet and use Mallat algorithm to decompose the precipitation series in two types of scales to solve the problem of long-time forecast with inadequate precision. After independent Runs tests between the decomposing consequences, we established the coupling ARIMA models based on Wavelet and Runs to forecast precipitation in the city of Zhengzhou from 2008 to 2012. It is proved that the accuracy of the coupling model is higher than that of traditional model. We predict the precipitation per month from 2013 to 2015 in order to provide a basis for decision-making. This research is of theoretical significance and application value.

Key words: precipitation forecast, Wavelet transform, Runs, coupling model, ARIMA

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