(3.236.118.225) 您好!臺灣時間:2021/05/14 12:45
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果

詳目顯示:::

我願授權國圖
: 
twitterline
研究生:張家鑫
研究生(外文):Jia-Shin Jang
論文名稱:樣本下之種類數估計
論文名稱(外文):Estimating the number of species with small sample size
指導教授:黃文瀚黃文瀚引用關係
指導教授(外文):Wen-Han Hwang
學位類別:碩士
校院名稱:國立中興大學
系所名稱:應用數學系所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:中文
論文頁數:48
中文關鍵詞:區塊抽樣物種豐富度
外文關鍵詞:Quadrat samplingspecies richness
相關次數:
  • 被引用被引用:0
  • 點閱點閱:72
  • 評分評分:系統版面圖檔系統版面圖檔系統版面圖檔系統版面圖檔系統版面圖檔
  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:0
在植物種類數估計問題的研究中往往必須考慮抽樣方法所耗費的成本,因此典型的調查抽樣比例大都小於1%。然而採用傳統的估計方法其抽樣的比例須達到15-30%才可獲得較佳的結果。Hwang & Shen(2008) 提出一個新的種類數估計式, 此方法可以在較低抽樣比例下即可獲得良好的估計效果, 但其通常會也伴隨著較大的均方誤差。本文的目的即在於改良Hwang & Shen(2008) 的方法, 使其在小樣本抽樣比例下能有較優之表現。
There are many well known methods which are available for estimating thenumber of species in a plant community. However, these methods can reach reasonable estimate only at the case of large sample size, which is not allowable in
real applications. Hwang & Shen(2008) poposed a new estimator which provide areduction in bias when the sample size is small. Neverless, the performence of root mean square error in Hwang & Shen estimator isn’t very well. The study would provide an improvement of Hwang & Shen(2008) an this is confirmed by several real data sets.
1 第一章緒論1
2 第二章符號簡介及文獻回顧4
2.1 符號簡介. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
2.2 種類數估計文獻回顧. . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.2.1 摺刀估計法. . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.2.2 Chao2估計法. . . . . . . . . . . . . . . . . . . . . . . . 6
2.2.3 樣本涵蓋率估計法(Incidence-based Coverage Estimator,
ICE) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.2.4 Hwang & Shen(2008) . . . . . . . . . . . . . . . . . . . . 8
3 第三章語音次數分析及其改良之模式9
3.1 語音次數分析. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.2 語音次數分析於種類數估計的應用. . . . . . . . . . . . . . . . . . . 9
3.3 HS 之修正. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
3.4 標準差. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4 第四章實例分析12
4.1 實例資料介紹. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4.1.1 巴洛科羅拉多島(Barro Colorado Island, BCI) . . . . . . 12
4.1.2 帕索(Pasoh) . . . . . . . . . . . . . . . . . . . . . . . . 13
4.1.3 蘭比爾(Lambir) . . . . . . . . . . . . . . . . . . . . . . . 14
4.2 分析方法及條件. . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
4.3 分析結果. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
4.3.1 BCI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
4.3.2 Pasoh . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
4.1.3 Lambir . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
4.1.3 綜合結論. . . . . . . . . . . . . . . . . . . . . . . . . . . 18
5 第五章討論20
參考文獻21
[1] Burnham, K.P. & Overton, W.S. (1978). Estimation of the size of a closed population when capture probabilities vary ampng animals. Biometrika, 65, 625-534
[2] Chiarucci, A., Enright, N. J., Perry, G. L. W., Miller, B. P. and Lamont, B. B. (2003). Performance of onparametric species richness estimators in a high diversity plant community. Diversity and Distributions, 9, 283-295.
[3] Chao, A. (1984). Nonparametric estimation of the number of classes in a population. Scandinavian Journal of Statistics, 11, 265-270.
[4] Chao, A. (1987). Estimating the population size for capture-recapture data with unequal catchability. Biometrics, 43, 783-791.
[5] Chao, A. (1989). Estimating population size for sparse data in capture-recapture experiments. Biometrics 45, 427-438.
[6] Chao, A., and Lee, S.-M. (1992). Estimating the number of classes via sample coverage. Journal of the American Statistical Association, 87, 210-217.
[7] Church, K. and W. Gale, (1991). A comparison of the enhanced Good-Turing and deleted estimation methods for estimating probabilities of English bi-grams. Computer Speech and Language, v.5, 19-54.
[8] GaleWilliam A. and Sampson G. Good-Turing smoothing without tears, 1995.
[9] Gimaret-Carpentier, C., Chessel, D. and Pascal, J. P. (1998). Non-symmetric correspondence analysis: an alternative for species occurrences data. Plant Ecology, 138, 97-112.
[10] Good, I., (1953), The population frequencies of species and the estimation of population parameters, Biometrika, v. 40, pp. 237-264.
[11] Gray, H. L. & Schucany, W. R. (1972). The Generalized Jackknife Statistic. New York: Marcel Dekker.
[12] Hellmann J. J. and Fowler G. W.(1999). Bias, precision, and accuracy of four measures of species richness. Ecology Applications, 9, 824-834.
[13] Heltshe, J. F. and Forrester, N. E. (1983). Estimating species richness using the jackknife procedure. Biometrics, 39, 1-12.
[14] Lee, S.M. & Chao, A. (1994). Estimating population size via sample coverage for closed capture-recapture models. Biometrics 50, 88-97.
[15] Mao, C.X., Colwell, R.K.& Chang, J. (2005). Estimating the species accumulation curve usingmixtures. Biometrics 61, 433-441.
[16] Mao, C.X. & Lindsay, B.G. (2007). Estimating the number of classes. Ann. Statist. 35, 917-930.
[17] Neher D.A. & Darby B.J. Computation and Application of Nematode Community Indices:General Guidelines, , 211-221.
[18] Norris III, J. L. and Pollock, K. H. (1998). Non-parametric MLE for Poisson species abundance models allowing for heterogeneity between species. Environmental
and Ecological Statistics, 5, 391-402.
[19] Shannon, C. E. (1948), A Mathematical Theory of Communication , Bell System Technical Journal 27, 379-423.
[20] Hwang, W. H. & Shen, T. J.(2008) Small sample estimation of species richness with application to plant communities.
[21] Simpson, E. H. (1949), Measurement of Diversity, Nature 163, 688.
[22] Smith, E. P. and van Belle, G. (1984). Nonparametric estimation of species richness. Biometrics, 40, 119-129.
[23] Walther, B. A. and Moore, J. (2005). The concepts of bias, precision and accuracy, and their use in testing the performance of species richness estimators, with a literature review of estimator performance. Ecography, 28, 815-829.
[24] 孫義方(2006). 森林生態學研究的新潮流–森林動態樣區. 林業研究專訊, Vol.13 No.2, 1-5.
[25] 蘇志峰. 「馬來西亞永久樣區研究站考察」出國報告.
[26] 蘇聲欣& 林介龍(2005). 馬來西亞森林動態樣區介紹. 林業研究專訊, Vol.12 No.4, 4-6.
QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top
系統版面圖檔 系統版面圖檔