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研究生: 李昆芳
Lee, Kun-Fang
論文名稱: 以數值方法提升河川水位機器學習模式之預報精度
Using numerical methods to improve machine learning models in river stage forecast
指導教授: 張駿暉
Jang, Jiun-Huei
學位類別: 碩士
Master
系所名稱: 工學院 - 水利及海洋工程學系
Department of Hydraulic & Ocean Engineering
論文出版年: 2021
畢業學年度: 109
語文別: 中文
論文頁數: 137
中文關鍵詞: 數值方法機器學習梯度提升決策樹支撐向量回歸洪水預報
外文關鍵詞: River stage forecast, Machine learning, Runge-Kutta, Flash flood
相關次數: 點閱:98下載:2
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  • 全球極端氣候日益嚴重,台灣受到颱風與豪雨的影響的規模與強度也更加嚴峻,在豐沛的雨量與降雨時間與空間不均的情形下,如何降低河川淹水災害備受重視。基隆河貫穿首都生活圈北北基三大縣市,為台灣經濟與政治扮演舉足輕重的腳色,本研究主要提供一全新的預報方法,可以減少時間成本並同時提升預報精度,以減少颱風或豪雨事件帶來的損失與衝擊,給予決策者更合理與準確的預測資訊。
    近年來,國內外學者紛紛利用各種方法進行河川水位預報。為了追求更高的精度與預報時長,本研究開發新型河川水位預測方法,結合機器學習模型與數值方法(Numerical ML)進行水位預測,並與單純使用機器學習的方法(Original ML)進行比較,以基隆河流域作為研究模擬區域,針對不同測站進行水位預報,作為洪水預警、災前準備、防災應變之參考。
    研究成果顯示,在受潮位影響較小的測站,Numerical ML 預測模式比OriginalML 表現更佳。在水位峰值的預報上,Numerical ML 可以明顯提升水位預報的準確性,隨著預報時間增加,Numerical ML 有效降低誤差的程度也大幅上升。除此之外,Numerical ML 在水位預測上所花費的時間更少,能夠節省時間成本。故本研究結果可在颱風或豪雨期間,提供更精準的水位預測資訊。

    In this research, a new river stage prediction method that combines machine learning models and numerical methods has been developed (namely the Numerical MLmodel).
    For the Numerical ML model, the Runge-Kutta and implicit numerical methods are combined with Multiple Additive Regression Trees (MART) and Support vector regression (SVR) for model training, respectively. The Keelung River Basin was selected as the study area in which river stages are predicted and compared with the ML model without using numerical methods (namely Original ML model).
    The research results show that the Numerical ML model performs better than the Original ML at the stations that are less affected by the tide level. The ML model has smaller errors in the prediction of river peaks and time series. In addition, the Numerical ML requires less time in model training. In application, the Numerical ML can be used to improve the accuracy in flood warning during typhoons or heavy rains.

    中文摘要 I 誌謝 VII 目錄 VIII 圖目錄 XI 表目錄 XVIII 第一章 緒論 1 1.1 研究動機 1 1.2 文獻回顧 1 1.2.1數學模式 1 1.2.2數值方法 2 1.2.3機器學習方法 2 1.2.4混合方法 3 1.3 文章架構 4 第二章 研究區域與資料 5 2.1 研究區域概述 5 2.2 水文資料 5 2.2.1水位站 5 2.2.2雨量站 5 2.3 歷史事件 5 第三章 研究方法 8 3.1 MART(Multiple Additive Regression Trees) 8 3.2 SVR(Support vector regression) 11 3.3 Original ML模式 14 3.4 Numerical ML 模式 15 3.4.1 Runge-Kutta 1st預測模式 15 3.4.2 Runge-Kutta 2nd預測模式 16 3.4.3 Runge-Kutta 3rd預測模式 17 3.4.4 Runge-Kutta 4th預測模式 19 3.4.5隱式法預測模式 21 3.5 評估指標 23 3.5.1均方根誤差(Root Mean Squared error) 23 3.5.2效率係數(Coefficient of Efficiency) 23 3.5.3尖峰水位誤差(Error of Peak Stage) 23 3.5.4尖峰水位到達時刻誤差(Error of Time to peak) 23 第四章 水位預報結果分析 24 4.1 介壽橋 24 4.1.1 MART 24 4.1.2 SVR 32 4.2 五堵 40 4.2.1 MART 40 4.2.2 SVR 48 4.3 長安橋 56 4.3.1 MART 56 4.3.2 SVR 64 4.4 社后橋 72 4.4.1 MART 72 4.4.2 SVR 80 4.5 大直橋 88 4.5.1 MART 88 4.5.2 SVR 96 4.6 百齡橋 104 4.6.1 MART 104 4.6.2 SVR 112 4.7 綜合比較 120 第五章 結論與建議 134 參考文獻 135

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