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研究生:吳政南
研究生(外文):Cheng-Nan Wu
論文名稱:應用多變量統計分析評估台北水源特定區水質
論文名稱(外文):Water quality assessment using multivariate statistical techniques in the Taipei Water Management District
指導教授:柳文成柳文成引用關係
指導教授(外文):Wen-Cheng Liu
口試委員:林裕彬余化龍闕蓓德
口試委員(外文):Yu-Bin LinHwa-Lung YuPei-Te Chiueh
口試日期:2011-06-21
學位類別:碩士
校院名稱:國立聯合大學
系所名稱:土木與防災工程學系碩士班
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:2011
畢業學年度:99
語文別:中文
論文頁數:104
中文關鍵詞:臺北水源特定區水質盒型圖誤差長條圖多變量統計分析判別分析主成分分析群集分析
外文關鍵詞:Taipei Water Management Areawater qualitybox-and-whisker plotserror-barmultivariate statistical techniquesdiscriminant analysisprincipal components analysiscluster analysis
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台北水源特定區供應大台北地區近500萬人之自來水水源,係國內第一個經由都市計畫法設立之水源、水質與水量保護區,區域範圍涵蓋三個流域,包含新店溪流域及其上游之南勢溪流域及北勢溪流域。
本研究以水源特定區管理局轄下的監測站之水質監測數據,配合氣象局雨量監測數據,合計12項物理與化學水質變數,包含溶氧量、生化需氧量、懸浮固體物、化學需氧量、pH值、比導電度、水溫、大腸菌類數、濁度、總磷、氨氮及雨量等。分析2008年到2010年每月的流域測站之水質資料,以量化方式探討台北水源特定區集水區複雜的水質資料結構,並應用多變量統計分析探討水質的特性。
依據地面水體分類及水質標準,台北水源特定區應符合陸域地面水體甲類水質標準,但是利用盒型圖及誤差長條圖分析測站的時間及空間分佈,顯示大腸菌類數的監測數值幾乎全部超出甲類水體標準,而總磷的監測數值則是大部分超出甲類水體標準。
本研究利用判別分析可清楚判識三流域的特性有極大的差異,對照現況,可以驗證三個流域的水質變數各有其特性。
利用主成份分析可得到台北水源特定區所包含的三個流域的水質主成份。北勢溪流域可萃取5個主成份,依序為懸浮固體成份、營養鹽成份、pH值成份、雨量成份及其他成份,可解釋的總變異量為67.260%;南勢溪流域也萃取出5個主成份,依序為懸浮固體成份、人類活動成份、總磷成份、雨量成份及氨氮成份,可解釋的總變異量為66.624%;新店溪流域亦萃取出5個主成份,依序為懸浮固體成份、總磷成份、雨量成份、水溫成份及比導電度成份,可解釋的總變異量為73.024%。依照分析結果並對照三個流域現況,北勢溪流域為農業耕種盛行,但是污染負荷較低;南勢溪流域為溫泉及森林遊樂區,遊憩觀光盛行,人類活動造成的污染負荷影響水體甚多;新店溪流域為住宅區,人口稠密,雖有污水下水道處理,但是家庭廢水所造成的污染負荷也最為嚴重。
利用群集分析進行測站分群,可將北勢溪流域測站分成4群、南勢溪流域測站分成3群、新店溪流域測站分成3群。如果在經費考量或是希望能到更好的監測效果的前提下,可以嘗試增加臨時性的測站,或是對於差異性很小的測站進行位置的改變,以評估比較水質監測的效果。

The Taipei Water Management District, suppling the domestic water for 500 million people in Taipei city, is the first protection area of water sources, water quality and quantity according to the Urban Planning Law. It covers the three basins including the Pei-Shih Stream River, Nan-Shih Stream, and Hsin-Dian Stream.
In this study, the water quality monitoring data from the Water Management Office Stations and rainfall data from the Central Weather Bureau were collected and used. A total of 12 physical and chemical water quality variables, including dissolved oxygen (DO), biochemical oxygen demand (BOD), suspended solids (SS), chemical oxygen demand (COD), pH, conductivity, water temperature, coliform fecal, turbidity, total phosphorus (TP), ammonia nitrogen (NH3-N), and rainfall. The quantitative approaches were applied to analyze the long-term monitoring data from the water sampling stations located in the watershed during years 2008-2010. Also the multivariate analysis techniques was used to analyze the water quality characteristics.
According to the standard of surface water bodies classification and water quality, the water quality within the study area should be complied with the class A terrestrial surface water quality standards. The box-and-whisker plots and the error-bar were used to analyze the temporal and spatial distributions. The results indicate that all of the coliform fecal values and most of the total phosphorus values exceed water quality standards. The three basins were identified clearly by discriminant analysis (DA) in this study, indicating that the water quality variables in the three basins have their own characteristics. The results above concured with the actual situation of the three basins.
By using the principal component analysis (PCA) , principal components of three basins in the Taipei Water Management District are extracted. The Pei-Shih Stream basin extracted five principal components and the percentage of explained variance is 67.26%. The first principal component is suspended solids concentration, subsequently are nutrients, pH, rainfall components, and other components. The Nan-Shih Stream basin extracted five principal components and the percentage of explained variance is 66.624%. The first principal component is suspended solids concentration, subsequently are human activities, total phosphorus, rainfall components, and ammonia nitrogen components. The Hsin-Dian Stream basin extracted five principal components and the percentage of explained variance is 73.024%. The first principal component is suspended solids concentration, subsequently are total phosphorus, rainfall, water temperature components, and conductivity components.
Based on the results above the current situation of the three basins, agriculture cultivation is more prevalent in the Pei-Shih Stream basin but the pollution load is the lower. There are hot spring and recreation areas in the Nan-Shih Stream basin, and pollution load of human activities has a great impact on the water quality. In the Hsin-Dian Stream basin, there are lots of residential areas, but pollution load of domestic wastewater are the most serious.
Cluster analysis (CA) was used to cluster the measured tations. The Pei-Shih Stream River basin, Nan-Shih Stream basin, and Hsin-Dian Stream basin yield four clusters, three clusters, and three clusters, repsectviely. For financial or monitoring quality considerations, we can attempt to increase the temporarily measured stations or to change the measured locations for gathering similar monitoring data and then assess the effect of water quality monitoring.

目錄
摘要.....I
Abstract......III
誌謝......V
目錄......VI
圖目錄......IX
表目錄......XII
第一章 緒論......1
1-1 前言......1
1-2 研究動機及目的......2
1-3 文獻回顧......3
第二章 研究區域概述......8
2-1 台北水源特定區地理位置......8
2-1-1 北勢溪流域......9
2-1-2 南勢溪流域......10
2-1-3 新店溪流域......12
2-2 氣象及水文......12
2-3 地形與地質......16
2-3-1 地形地勢......16
2-3-2 地質與土壤......16
2-4 土地利用現況......18
第三章 多變量統計分析方法與原理......20
3-1 資料分析方法......20
3-1-1 觀察值與變數......20
3-1-2 盒型圖......22
3-1-3 誤差長條圖......24
3-2 主成份分析......25
3-3 群集分析......28
3-4 判別分析......31
第四章 水文與水質參數分析結果與討論......33
4-1 溶氧量......33
4-2 生化需氧量......37
4-3 化學需氧量......39
4-4 pH值......40
4-5 比導電度......41
4-6 水溫......43
4-7 大腸菌類數......45
4-8 濁度......47
4-9 總磷......49
4-10 氨氮......51
4-11 懸浮固體物......53
4-12 雨量......55
第五章 多變量統計分析結果與討論......56
5-1 判別分析......56
5-2 主成分分析......61
5-2-1 北勢溪流域主成份分析......61
5-2-2 南勢溪流域主成份分析......67
5-2-3 新店溪流域主成份分析......72
5-3 群集分析......77
5-3-1 北勢溪流域測站群集分析...... 78
5-3-2 南勢溪流域測站群集分析...... 84
5-3-3 新店溪流域測站群集分析...... 89
第六章 結論與建議......94
6-1 結論......94
6-2 建議......96
參考文獻......97

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