研究生: |
徐靖雯 |
---|---|
論文名稱: |
Bray-Curtis指標與其他相似性指標之模擬探討 The Simulation Study of Bray-Curtis Index and Other Similarity Indices |
指導教授: | 趙蓮菊 |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 統計學研究所 Institute of Statistics |
論文出版年: | 2006 |
畢業學年度: | 94 |
語文別: | 中文 |
論文頁數: | 65 |
中文關鍵詞: | 相似性指標 、生物多樣性 |
外文關鍵詞: | Bray-Curtis, similarity |
相關次數: | 點閱:2 下載:0 |
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在生物多樣性的研究領域裡,bata多樣性指標主要是用來衡量兩個以上不同群落之間生物的相異度,我們可以利用不同群落之間的共同種(shared species)和特有種(endemic species)定義一些指標來做為量度的標準。在文獻中有許多量度的指標被提出,包括Jaccard出現指標及豐富指標、Sørensen出現指標及豐富指標、Lennon出現指標及豐富指標、Morisita指標以及Bray-Curtis相似性指標等等。
本文主要針對Bray-Curtis相似性指標進行討論,內容可以分為三部分,第一部分就Bray-Curtis指標的定義及原始估計量來做探討,以其一階期望值來推測原始估計量對真實指標值的估計情形,再經由模擬此估計量對真實指標值的估計情形,是否如其一階期望值所預期的結果。第二部分針對Bray-Curtis原始估計量會受到抽樣比例所影響,以模擬方式比較其他相似性估計量是不是也有相同的表現。最後則是以模擬方式探討在各種不同的假設條件下,群落中物種的相對豐富度所服從的結構,對於估計量的表現情形之影響。
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