臺灣博碩士論文加值系統

物種相似度分析為生物與生態學的重要工具。目前文獻上的物種相似度指
摽大多依據物種的數量或豐富度來定義。考慮到物種的相似性或與其在空間
上分布之特徵有關，本文利用函數型主成份分析提出新的相似度指標。

Measures of species diversity play an important role in biology and ecology.
The most commonly employed measures of species diversity are richness and
number of species. In this paper we defined a new species with regard to spatial
distribution by using Functional Principal Component Analysis (FPCA).

1. 緒論 1
2. 文獻回顧 4
2.1. 物種相似性. . . . . . 4
2.2. 局部多項式. . . . . . 5
2.3. 函數型主成份分析. . . 6
3. 函數型主成份分析之物種相似性 7
3.1. 局部多項式迴歸. . . . . . 7
3.2. 函數型主成份分析. . . . . 10
4. 種類分群 14
4.1. K-means 分群法. . . . . . 14
4.2. Hierarchical 分群法. . . .15
5. BCI 資料分析 16
5.1. 資料分析. . . . . . . . . 16
5.2. 物種相似性指標. . . . . . 22
5.3. Hierarchical 分群法結果. . . . 25
5.4. K-means 分群結果. . . . . . 37
6. 結論與建議 43

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