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水保技術研討會

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篇名 應用小波混合方法於逕流量之模擬
卷期 2010
作者 周建明洪光廷許靖男
頁次 101-106
關鍵字 小波分解小波重構倒傳遞網路模式小波混合方法Wavelet DecompositionWavelet ReconstructionBack-Propagation Network modelWavelet Mixed Method
出刊日期 2010

中文摘要

本文係應用小波混合方法於逕流量之模擬,以提升模擬之精確性。首先應用小波分解將逕
流量時間序列分解成趨勢項、週期項與隨機項。趨勢項採用倒傳遞模式之類神經網路進行擬合,
而週期項則根據小波之類週期特性,分析並挑選出合適之週期,結合逐步最小二乘法,來估計
以正弦及餘弦函數表示之週期項近似表達式。最後將趨勢項與週期項之推估值合併,可獲致原
始逕流量時間序列之推估值。為驗證倡議方法之合適性,本文應用小波混合方法於月逕流量時
間序列。研究結果說明該方法比直接採用倒傳遞模式之類神經網路進行擬合之平均誤差小,闡
釋小波混合方法之有效性,臻以提供水資源規劃應用之參考。

英文摘要

In this paper, wavelet mixed method was applied to the modeling of runoff to enhance the accuracy. Firstly, the wavelet decomposition was applied to decompose the runoff time series into the tendency, periodic and stochastic terms. Then, the tendency term can be fitted using the
Back-Propagation (BP) Network model of the Artificial Neural Network. The appropriate periods were chose in accordance with the likely periodic property of wavelet in the periodic term. The approximate expression of the periodic term of the hydrological time series with sine and cosine functions can be obtained by using Ordinary Least Square method step by step. Finally, the estimations of tendency and periodic term can be combined into the estimation of original runoff time series. To verify the
appropriateness of the model adopted, the wavelet mixed method was applied to the modeling of the monthly runoff time series in this paper. The results illustrate that the mean relative error obtained by
the proposed method is less than that obtained by directly BP Network model . The results also show that the wavelet mixed method can enhance the accuracy of modeling of runoff time series, so as to provide the reference for water resource planning and applications.

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