林國峰2006-07-252018-07-092006-07-252018-07-092004http://ntur.lib.ntu.edu.tw//handle/246246/2849劃分水文均一區有二個重要步驟，第一步是水文性質的群集分析。在傳統群 集分析中，無論是使用階層式的群集分析法或是非階層群集分析法，不同的群集 組數常會導致差異極大的分析結果，且並無客觀之方法決定適當的群集數目。因 此對於水文屬性均一區的劃分，如何決定適當的群集組數乃是重要的課題。而劃 分水文均一區的的另一重要步驟是建立將水文性質外插到未設站區域的數學模 型，為本研究下一年度之研究目標。本研究於今年度利用自組織映射圖網路來解 決水文性質的群集分析問題。自組織映射圖網路是屬於非監督式及競爭式學習的 網路模型。其功能是將高維度的資料映射至低維度的圖形中，並保存資料原本的 拓樸結構及顯現資料內在的統計特徵。本年度，本研究提出利用自組織映射圖網 路進行群集分析的方法，稱為自組織映射圖網路群集分析，簡稱為SOMCA，並 將其運用於台灣北部地區簡單尺度不變性高斯馬可夫(Simple Scaling Gauss-Markov，簡稱SSGM)雨型上。結果顯示，SOMCA 與傳統群集分析法相較， 其優點適當的群集數目可觀察由SOMCA 導出之分類圖(classification map)而簡 單及客觀的決定。綜合而言，本研究所得之成果，對於水文性質的群集分析具有 相當大的貢獻。There are two crucial processes for the delineation of homogeneous areas of hydrological properties. The first process is the cluster analysis on certain hydrological properties. Obviously, different numbers of clusters lead to significantly different results. However, determination the proper number of clusters is a subjective task for conventional cluster analysis methods no matter what clustering technique, the hierarchical method or the nonhierarchical method, is used. The second crucial process for the delineation of homogeneous areas is to establish a method to extrapolate hydrological data from sites, at which records have been collected, to other sites at which values are required but unavailable, which is the goal of the next year’s research. In this year’s study, the self-organizing maps (SOM) are introduced for the cluster analysis of hydrological properties. The SOM, which can project high dimensional patterns into a lower dimensional space, keep their original topological structures and capture the intrinsic statistical features of the patterns, is one of the unsupervised and competitive neural networks models. A clustering technique, self-organizing maps cluster analysis (SOMCA), is proposed and applied to the cluster analysis of the simple scaling Gauss-Markov (SSGM) design hyetographs of northern Taiwan. From the results, the advantage of the SOMCA over the conventional cluster analysis methods is that the proper number of clusters 2 can be easily and objectively selected by visually inspecting the classification map derived from the SOMCA. In summary, the achievements of this study significantly contribute to the clustering techniques of hydrological properties.application/pdf169508 bytesapplication/pdfzh-TW國立臺灣大學土木工程學系暨研究所reporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/2849/1/922211E002066.pdf