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研究生:石廣英
研究生(外文):Guang-Ying Shih
論文名稱:宜蘭河洪水流量持續性分析
論文名稱(外文):Yilan River Flood Flow Persistent Analysis
指導教授:鄭克聲鄭克聲引用關係
口試日期:2017-06-16
學位類別:碩士
校院名稱:國立臺灣大學
系所名稱:生物環境系統工程學研究所
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2017
畢業學年度:105
語文別:中文
論文頁數:44
中文關鍵詞:洪水預報流量持續性時間序列模式評估宜蘭河流域
外文關鍵詞:Flood forecastingFlow persistenceTime seriesModel performance evaluationYilan River Basin
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在水文研究中,洪水流量預報是個常探討的議題。在過去文獻中,洪水流量的預測模式建立與評估此模式之下,其評估結果大多呈現良好。影響評估結果主要因素為河川流量的持續性。水文過程為時間序列資料,在本研究中,藉由偏自我相關係數(partial autocorrelation coefficient function, PACF)做模式鑑定並建立自回歸模式(Autoregressive processes, AR)來當預測模式,可得量化持續性的指標CIR(Cumulative impulse response)與評估模式指標效率係數(Coefficient of efficiency, CE)、持續係數(Coefficient of persistence, CP)和流量峰值誤差百分比(Error in peak flow in percentages, )。然河川流量的持續性也受集流時間影響,根據流量與雨量逐時資料之相關性可估算集流時間。
本研究區域為宜蘭河流域,其流量站為中山橋、員山大橋和新城橋。各測站之觀測資料做模式建定並建立ㄧAR模式。在每測站中有一AR模式,並套配於其本身測站之各水文事件中,得出這些水文事件之CIR值、CE值、CP值和 值。並由結果顯示各測站之預測模式良好。在各測站的CIR指標皆高於7,表示流量持續性高。在集流時間上新城橋比員山大橋快,故員山大橋的CIR指標比新城橋的CIR指標大。
Flood forecasting is an essential issue in hydrological studies. In the literature, many flood forecasting models were shown to perform well. However, it has also been recognized that, due to flood flow persistence, even simple models could also achieve good performance. In this study, two model performance criteria, namely the coefficient of efficiency (CE) and coefficient of persistence (CP) were used to evaluate performance of flood forecasting models. Flood flow data at three stations in the Yilan River Basin were represented by autoregressive (AR) models. An asymptotic theoretical relationship between CE and CP, which is dependent on the lag-k autocorrelation coefficient, was derived and used to demonstrate why the simple naïve forecasting model could achieve good performance, in certain cases, even outperform more complicated models.
致謝 I
中文摘要 II
ABSTRACT III
目錄 IV
圖目錄 VI
表目錄 VII
壹 序論 1
一 前言和目的 1
二 研究架構 2
貳 文獻回顧 5
一 時間序列 6
二 如何評估持續性 8
三 評估模式好壞的指標 : CE、CP 9
參 研究理論與方法 11
一 流量資料模式的流程建立 11
二 模式檢測方法 11
三 解釋 CE、CP之間的關係 13
四 R軟體應用 15
五 以流量和雨量得集流時間 15
肆 研究地區與資料說明 20
一 流量資料處理 20
二 雨量資料處理 20
伍 結果與討論 26
一 模式檢測與CE、CP值 26
二 流量雨量關係 26
陸 結論 41
參考文獻 42
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