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研究生:林瑛真
研究生(外文):Ying-Jhen, Lin
論文名稱:物種相似性指標之統計分析
論文名稱(外文):Statistical Analysis of Species Similarity Indices
指導教授:潘宏裕潘宏裕引用關係
指導教授(外文):Hung-Yu, Pan
學位類別:碩士
校院名稱:國立嘉義大學
系所名稱:應用數學系研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2010
畢業學年度:98
語文別:中文
論文頁數:134
中文關鍵詞:相似性指標出現性指標豐富度指標
外文關鍵詞:similarity indicesincidence indicesabundance indices
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在生態學上,對兩個不同的群落作比較是重要的課題,通常是以相似性指標來衡量兩群落的相似程度,而相似性指標又可分成兩類:一是出現性指標,另一是豐富度指標。
本文內容主要分成兩部份,第一部份將討論出現性指標的範圍及線性、不變性的兩個性質,然後推導多個出現性指標的大小關係式;第二部份介紹如何將相似性指標轉換成豐富度指標,然後討論豐富度指標的範圍,及其大小關係。最後,採用三筆數據作為實例分析,資料分別為:竹南地區溪口的鳥類數據、香港觀鳥大賽的鳥類資料和LEP原生林中幼苗與幼樹的資料。

In the ecology, it is the important topic for the compariosn of two assemblages, mainly using the similarity indices to measure their similarity of two assemblages. The similarity indices can be divided into two types, the incidence indices and the abundance indices.
The content of this paper is divided into three parts. In the first part, we discuss the range, the linear and invariable properties of incidence indices, and then derive the order of incidence indices. In the second part, we will introduce the way that the abundance indices would be transformed from the incidence indices. And then we discuss the range of the abundance indices and derive the order of these indices. Finally, we will analysis three data set, respectively the data of the bird frequency records of the estuaries of the south region of Hsinchu, the Hong Kong big bird race data, and the data of the seedlings and saplings of in an LEP

中文摘要 ……………………………………………………… I
英文摘要 ……………………………………………………… II
目錄 …………………………………………………………… III
表格目錄 ……………………………………………………… VI
圖形目錄 ……………………………………………………… IX
第一章 緒論 …………………………………………………… 1
第二章 符號介紹與文獻回顧 ………………………………… 3
2.1符號介紹 ……………………………………………… 3
2.2 相關文獻回顧 …………………………………………… 4
2.2.1 出現性指標 ……………………………………… 4
2.2.2 豐富度指標 ……………………………………… 10
2.2.3 豐富度指標估計 ………………………………… 11
第三章 出現性指標的性質與其關係 ………………………… 15
3.1 出現性指標的範圍和性質 ……………………………… 15
3.1.1 出現性指標的範圍 ……………………………… 15
3.1.2 出現性指標的性質 ……………………………… 17
(a) 線性性質 ……………………………………… 19
(b) 不變性性質 …………………………………… 23
3.2 討論出現性指標的大小關係 …………………………… 24
3.2.1 根據範圍分類討論 ……………………………… 26
3.2.2 根據實際數值直角區域討論 …………………… 29
3.2.3 區域討論 ………………………………………… 36
3.2.4 實例分析 ………………………………………… 46
實例一、竹南地區溪口的鳥類觀察資料 …………… 46
實例二、香港觀鳥大賽的資料 ………………………………… 48
實例三、LEP原生林資料 …………………………… 49
第四章 豐富度指標與其大小關係 …………………………… 50
4.1 出現性指標轉換為豐富度指標 ……………………… 50
4.2 豐富度指標的範圍與其關係 ………………………… 53
4.2.1 豐富度指標的範圍 …………………………… 53
4.2.2 討論豐富度指標的大小關係 ………………… 54
4.2.3 實例分析 …………………………………………… 55
實例一、竹南地區溪口的鳥類觀察資料 ……………… 55
實例二、香港觀鳥大賽的資料 …………………………………… 56
實例三、LEP原生林資料 ……………………………… 58
第五章 結論與未來研究 ………………………………………… 60
附錄 ………………………………………………………………… 62
參考文獻 …………………………………………………………… 131

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