臺灣博碩士論文加值系統

Warwick & Clarke（1995）提出了將生物種演化分類的概念加入物種多樣性指標。他們依照同種、同屬不同種、同科不同屬…等分類方法將生物演化距離予以量化，並建構新的多樣性指標。此類指標目前已被廣泛應用，然而其估計與統計推論之問題卻少有討論。本文考慮在區塊抽樣方法之下，根據不同物種之相異豐富度，使用delta-method推導估計式的近似變異數，另外亦採用拔靴法估計其變異數與區間估計，最後以實例資料模擬分析探討各估計量的表現情形。

Warwick & Clarke (1995) integrated the concept of classification of taxonomic distances with the ecological diversity index. They proposed using the averaged taxonomic distances among species in a community a new taxonomic diversity index. Such index has been widely used in literatures, however the estimation and statistical inference about the index are rarely discussed. Under the quadrat sampling, we applied the delta-method to derive a variance estimator, the bootstrap method is also adopted to establish the variance and interval estimation. A simulation study based on the three forest plot data was conducted to evaluate the performance of the proposed methods.

第一章 緒論.........................................................1
第二章 抽樣方法、符號介紹及相關文獻回顧.............................3
2.1符號定義.....................................................3
2.2 抽樣方法....................................................4
2.2.1 「豐富度」的資料型態....................................4
2.2.2 「出現與否」的資料型態..................................5
2.3 相關文獻回顧................................................5
2.3.1 定義生物多樣性........................................5
2.3.2 常用的多樣性指標......................................7
第三章 估計式之統計性質............................................13
3.1 估計式之不偏性.............................................13
3.2 The Delta Method.............................................14
3.3 估計式之變異數估計.........................................15
3.4 拔靴法.....................................................23
第四章 模擬研究之試驗及實例分析....................................24
4.1模擬研究之符號說明..........................................24
4.2 檢驗變異數估計之模擬研究...................................25
4.2.1模擬結果.............................................26
4.3 巴拿馬森林樣區之模擬研究...................................27
4.3.1 BCI森林樣區........................................27
4.3.2 Cocoli森林樣區......................................28
4.3.3 Sherman森林樣區.....................................29
4.3.4實例分析的方法與條件.................................30
4.4 模擬結果分析..............................................31
4.4.1 BCI森林樣區........................................31
4.4.2 Cocoli森林樣區......................................31
4.4.3 Sherman森林樣區....................................32
4.4.4綜合分析............................................33
第五章 討論........................................................34
參考文獻............................................................36

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