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| Title: | 品種重複的無母數估計
Nonparametric Estimation of Species Overlap |
| Authors: | 林逢章
Lin, Feng-Chang |
| Contributors: | 余清祥
Yue, Ching-Syang Jack
林逢章
Lin, Feng-Chang |
| Keywords: | 品種重複
species overlap
Jaccard index
NPMLE
delta-beta-binomial
bootstrap |
| Date: | 1998 |
| Issue Date: | 2016-04-21 09:54:50 (UTC+8) |
| Abstract: | 關於描述兩個觀察地A和B相似的程度而言，生物品種是否相同是其中的一個切入點，因此品種重複（species overlap）便為描述兩觀察地相似度的一種指標。就一般的生物或生態研究而言，較常使用的品種重複指數為以品種數為計算基礎的 Jaccard index，公式為 ，其中 和 分別為觀察地A和B的總品種數，而 則為兩地的共同品種數，這樣的計算方式為Gower(1985) 歸類描述兩單位（unit）的相似度（similarity）中的一種。在我們的研究中，將令依觀察到的品種數及品種重複數所計算出的 Jaccard index 視為估計值，記為 ；若描述相似度時僅以品種為計算單位，而忽略個別品種的數量未免有資訊流失的情形，因此我們延伸 Jaccard index 指數而另立以個別品種數為計算單位的 N 指數，並以無母數最大概似估計法（Nonparametric Maximum Likelihood Estimator, NPMLE）估計 N 指數，記為 。另外，Smith, Solow 和 Preston (1996) 也提出利用 delta-beta-binomial 模型修正 Jaccard index 的低估（underestimate）情形，我們將此模型所推估的品種重複記為 ，因此我們的研究重點便在於以模擬實驗比較 、 和 在估計真正參數時的行為。
In describing the similarity between communities A and B, species overlap is one kind of measure. In ecology and biology, the Jaccard index (Gower, 1985) ,denoted , for species overlap is widely used and is useded as an estimation in our research. However, the Jaccard index is simply the proportion of overlapping species, that is those species appearing in more than one community, to unique species, that is those species appearing in only one community. However, this index ignores species proportion information, assigning equal weight to all species. We propose a new index, N, which includes proportion information and is estimated by a Nonparametric Maximum Likelihood Estimator (NPMLE), denoted . Smith et al. (1996) proposed a delta-beta-binomial model to improve underestimation of the Jaccard index, we denoted this estimator . |
| Reference: | 中文書目
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吳育美，民86，大學圖書館工程類西文圖書館藏重複及特性之研究：以台大、清大、交大、成大為例，淡江大學教育資料科學研究所碩士論文。
陳恆安，民83，台中市沿都市郊區梯度上動物分佈與物種豐度，東海大學生物學研究所碩士論文。
彭起嘉，民85，塔塔加火災過後地區小型哺乳類之群聚生態研究，東海大學生物學研究所碩士論文。
外文書目
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Yue, C. S. Jack (1994) Bayesian sequential tests for comparing species richness of two populations, Ph.D. Thesis. |
| Description: | 碩士
國立政治大學
統計學系
86354015 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#B2002001555 |
| Data Type: | thesis |
| Appears in Collections: | [統計學系] 學位論文
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