Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/18034
標題: 非參數種類豐富度之估計整合方法
A unified approach for the nonparametric species richness estimation
作者: 張儀柔
Chang, Yi-Jou
關鍵字: species richness;物種豐富度;generalized jackknife method;sample coverage;quadrat sampling;廣義摺刀估計;樣本涵蓋;區塊抽樣
出版社: 應用數學系所
引用: R Development Core Team (2005). R: A language and environment for statis- tical computing. R Foundation for Statistical Computing, http://www.R- project.org. Bunge, J. and Fitzpartrick, M.(1993). Estimating the number of species: a review. Journal of the American Statistical Association, 88, 364-373. Burnham, K. P. and Overton, W. S. (1979). Robust estimation of population size when capture probabilities vary among animals. Ecology, 60, 927-936. Carothers, A. D. (1973). Capture-recapture methods applied to a population with known parameters. Journal ofAnimal Ecology, 42, 125-146. Chao, A. (1984). Nonparametric estimation of the number of classes in a popula- tion. Scandinavian Journal of Statistics, 11, 265-270. Chao, A. (1987). Estimating the population size for capture-recapture data with unequal catchability. Biometrics,43, 783-791. Chao, A. (2005). Species richness estimation. In: Encyclopedia of Statistical Sci- ences , 2nd ed.(eds Balakrishnan, N., Read, C.B. and Vidakovic, B.). Wiley Press, New York, NY, USA. Chao, A., Lee, S.-M. (1992). Estimating the number of classes via sample coverage. Journal of the American Statistical Association, 87, 210-217. Chao, A., Lee, S.-M., and Jeng, S.-L. (1992). Estimating population size for capture-recapture data when capture probabilities vary by time and individual animal. Biometrika,48, 201-216. Chazdon, R.L., Colwell, R.K., Denslow, J.S. and Guariguata, M.R. (1998). Sta- tistical methods for estimating species richness of woody regeneration in pri- mary and secondary rain forests of NE Costa Rica. In: Forest Biodiversity Research, Monitoring and Modeling: Conceptual Background and Old World Case Studies. (eds Dallmeier, F. and Comiskey, J.). Parthenon Publishing, Paris, France, pp. 285V309. Chiarucci A., EnrightN.J. , PerryG.L.W. , Miller B.P. and Lamont B.B. (2003). Performance of nonparametric species richness estimators in a high diversity plant community. Diversity and Distributions, 9, 283-295. Colwell, R. K. and Coddington, J. A. (1994). Estimating terrestrial biodiver- sity through extrapolation. Philosophical Transactions of the Royal Society of London Series B , 345, 101-118. Colwell, R. K., Mao, C.X. and Chang, J. (2004). Interpolating, extrapolating, and comparing incidence-based species accumulation curves. Ecology, 85, 2717- 2727. Darroch, J. N. (1958). The multiple-recapture census. I: estimation of a closed population. Biometrika, 45, 343-359. Gimaret-Carpentier, C., Chessel, D., Pascal, J. P., and Houllier, F. (1998). Sam- pling strategies for the assessment of tree species diversity. Journal of Vegeta- tion Science, 9, 97-112. Good, I. J.(1953). The population frequencies of species and the estimation of population parameters. Biometrika, 40, 237-264. Gray, H. L. and Schucany, W. R. (1972). The Generalized Jackknife Statistic. New York: Marcel Dekker. Haas, P. J. and Stokes, S. L. (1998). Estimating the number of classes in a nite population. Journal of the American Statistical Association, 93, 1475-1487. Hellman J.J. and Fowler G.W.(1999). Bias, precision, and accuracy of four mea- sures of species richness. Ecology Applications, 9, 824-834. Heltshe, J. F. and Forrester, N. E.(1993). Estimating species richness using the jackknife procedure. Biometrics, 39, 1-12. Lee, S.-M. and Chao, A. (1994). Estimating population size via sample coverage for closed capture-recapture models. Biometrics, 50, 88-97. Mao C. X.and Lindsay B. G.(2007). Estimating the number of classes. Annals of Statistics, 35, 917-930, . 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. Schwarz, C. J. and Seber, G. A. F. (1999). A review of estimating animal abun- dance III. Statistical Science, 14, 427-456. Smith, E. P. and van Belle, G. (1984). Nonparametric estimation of species rich- ness. Biometrics, 40, 119-129. 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.
摘要: 
對於生態或生物界的學者來說,物種種類豐富度估算,通常是個極重要的議題。很多科學家已經關注於這個問題很久了,對於這個部份的研究亦做了很多年。在這篇文章中,我們考慮估計群落之物種的種類豐富度問題,利用各種不同估計方法來估計,而估計方法都源起於廣義摺刀估計之架構。估計方法包含了樣本涵蓋、拔靴估計式、Chao1估計式等。同時,我們亦介紹某些情況下,比先前估計方法表現不錯的新估計方法。最後,我們將所有估計方法,利用模擬資料與實際資料來分析與比較。

Estimation of species richness in a local community is usually an important issue
for ecologists or biologists. Nowadays lots of scientists have been paying attention
to this topic very much. In this paper, our concern is how to estimate the number of
species (species richness) in a community. The generalized jackknife approach is of
great use to lessening the magnitude of bias of an estimator. Using this approach,
some popular richness estimators would be unied into a form of a specic frame-
work. Specically, these estimators include the estimators by sample coverage, the
bootstrap estimator, and the Chao1 estimator. In addition, we also develop some
new estimators based on the same framework. A simulation study and some real
data analyses were carried out to evaluate the performance of all estimators we con-
cern.
URI: http://hdl.handle.net/11455/18034
其他識別: U0005-2706200815535300
Appears in Collections:應用數學系所

Show full item record
 

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.