Title

離散型及連續型多樣性資料之多群落相似指標

Translated Titles

Multiple-Community Similarity Indices under both discrete and continuous diversity data

Authors

江怡慧

Key Words

生物多樣性 ; 相似度 ; 多群落 ; 連續型 ; biodiversity ; similarity ; multiple-community ; continuous

PublicationName

清華大學統計學研究所學位論文

Volume or Term/Year and Month of Publication

2008年

Academic Degree Category

博士

Advisor

趙蓮菊

Content Language

繁體中文

Chinese Abstract

研究某一地區的生物多樣性(biodiversity),必須從各方面對這個地區的物種與環境加以評估,利用有效的統計方法,透過模式將之量化,此量化之值稱為生物多樣性指標(biodiversity index)。本研究主題主要分成兩部份,第一部份是將傳統文獻上量測兩群落之相似指標推廣到三個群落。第二部份是將相似指標的估計量應用於連續型資料。 在評估生物多樣性時,常遇到的困難是一個地區不僅只有兩個群落,由收集的資料亦顯示許多地區含有三個群落或是四個群落,目前的方法除了Morisita相似指標外,其他相似指標僅能分析兩個群落。因此,本文先定義三個群落裡的共同種,分別為至少在兩個群落存在的「廣義共同種」,及於三個群落都存在的「狹義共同種」,嘗試將Jaccard與Sørensen豐富型相似指標推廣到三個群落,突破過去「兩兩比較」的方法,並將指標應用在熱帶雨林演替(tropical rainforest succession)、原生物種的普世性(protozoa ubiquity)兩筆資料分析,再討論兩個群落及三個群落相似指標的表現。在熱帶雨林演替的研究,本文建議使用架構於狹義共同種的三群落相似指標解釋熱帶雨林演替過程。在原生物種分佈研究,透過兩個群落及三個群落相似度比較,可知原生物種分布情形。此外,亦在各種假設下,模擬本文所提出的方法,探討本文所提出三種群落估計量的表現。 微生物是否到處都存在(普世性)是生態界倍受關心的議題。一般而言,收集到的資料其物種豐富度均非以個體數表示,因此過去以出現個體之頻率為分析的方法無法使用並須加以修正。本文將Jaccard與Sørensen豐富型相似指標推廣應用於此型資料,並針對Horn熵相似指標(1966)以兩樣本摺刀法降低偏誤。本文利用Jaccard豐富型相似指標與Horn熵相似指標,透過真菌類解釋真核生物分佈,結論為真核生物的相似性將隨著空間距離變化而改變,因此普世性的証據不足。最後經由電腦模擬,本文所提出的估計量均可改善樣本裡未出現物種的影響。

Topic Category 基礎與應用科學 > 統計
理學院 > 統計學研究所
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