Estimating species numbers by extrapolation. II, Estimating the adequate sample size

• Autorzy: Ulrich W.
• Języki publikacji: EN

Abstrakty

EN

On the basis of large model assemblages estimators are developed to predict the sample size necessary to sample a given fraction of the total species number. The classical method that takes the point of leveling off of the species accumulation curves proved to be less efficient than the use of the second order jackknife in determining the sample size necessary to collect exactly half of the species number (N[O.5]). The present paper studies eight newly developed estimators for N[O.5] and shows that estimators based on a Michaelis-Menten formula and a negative exponential model give even better results with minimal sampling effort. The quality of all estimators was not correlated with simple measures of community structure.

Słowa kluczowe

EN

community; extrapolation; Michaelis-Menten formula; model populations; sample size; species accumulation curve; species numbers

• Wydawca: Museum and Institute of Zoology, Polish Academy of Sciences
• Czasopismo: Polish Journal of Ecology
• Rocznik: 1999
• Tom: Vol. 47, no 3
• Strony: 293--305
• Opis fizyczny: Bibliogr. 27 poz.,Rys., tab.,

Twórcy

autor

Ulrich W.

• Nicholas Copernicus University in Toruń Department of Animal Ecology Gagarina 9, 87-100 Toruń: Poland

Bibliografia

• [1]. Balogh J. 1958 - Lebensgemeinschaften der Landtiere - Berlin (Akad. Verlag).
• [2]. Baltanas A. 1992 - On the use of some methods for the estimation of species richness - Oikos, 65: 484-492.
• [3]. Blackburn, T.M., Lawton J.H., Perry J. N. 1992 - A method of estimating the slope of upper bounds of plots of body size and abundance in natura] animal assemblages - Oikos, 65: 107-112.
• [4]. Bunge J., Fitzpatrick M. 199 3- Estimating the number of species: a review - J. Am. Stat. Assoc., 88: 364-373.
• [5]. Colwell R.K.,Coddington J.A. 1994 - Estimating terrestrial biodiversity through extrapolation - Phil. Trans. R. Soc. Lond. B: 345: 101-118.
• [6]. De Caprariis P., Lindemann R.H., Collins C. M 1976 - A method for determining optimum sample size in species diversity studies - Math. Geol., 8: 575-581.
• [7]. Elphick Ch. S. 1996 - Correcting avian richness estimates for unequal sample effort in atlas studies - Ibis, 139: 189-190.
• [8]. Efron B., Thisted R. 1976 - Estimating the number of unseen species: how urany words did Shakespeare know? - Biometrika, 63: 435-447.
• [9]. Good I.J.,T oulmin G.H. 1956 - The number of new species, and the increaese in population coverage, when a sample is increased - Biometrika, 43: 45-63.
• [10]. Green R. H. - On fixed precision level sequential sampling - Res. Pop. Ecol., 12: 249-251.
• [11]. Heck K.L., van Belle G.,Simberloff G. 1975 - Explicit calculation of the rarefaction diversity measurement and the determination of the sufficient sample size - Ecology, 56: 1459-1461.
• [12]. Keating K. A. 1998 - Estimating species rich-ness: the Michaelis-Menten model revisited - Oikos, 81: 411-416.
• [13]. Keating K.A.,Quinn J.F., Ivie M.A., Ivie L. L. 1998 - Estimating the effectiveness of further sampling in species inventories - Ecol. Apll., 8: 1239-1249.
• [14]. Kuno E. (1969) - A new method of sequential sampling to obtain the population estimates with a fixed level of precision - Res. Pop. Ecol., 11: 127-136.
• [15]. Menkens G.E., Anderson S.H. 1988 - Estimation of small mammal population size - Ecology, 69: 1952-1959.
• [16]. Miller, R.I.,Wiegert R.G. 1989 - Documenting completeness, species-area relations, and the species abundance distribution of a re-gional flora - Ecology, 70: 16-22.
• [17]. Mingoti S.A,Meeden G. 1992 - Estimating the total number of distinct species using presence and absence data - Biometrics, 48: 863-875.
• [18]. Moravec J. 1973 - The determination of the minimal area of phytocenoses - Folia Geob. Phytotax., 8: 23-47.
• [19]. Pielou E. C. 1977 - Mathematical Ecology - New York (Wiley & Sons), 1-385.
• [20]. Preston F. W. 1948 - The commonness and rarity of species - Ecology, 29: 254-283.
• [21]. Soberon M.J.,Llorente B.J. 1993 - The use of species accumulation functions for the prediction of species richness - Cons. Biol., 7: 480-488.
• [22]. Southwood T. R. E. 1978 - Ecological Methods - London (Chapman & Hall), 1-523.
• [23]. Tokeshi M. 1996 - Power fraction: a new explanation of relative abundance patterns in species-rich assemblages - Oikos, 75: 543-550.
• [24]. Trojan P. 1992 - Analysis of faunal structure - Memorabilia Zoologica, 47: 1-120.
• [25]. Ulrich W. 1999 - Estimating species numbers by extrapolation I: Comparing the performance of various estimators using large model communities - Pol. J. Ecol. 47: 271-291.
• [26]. Wald A. 1948 - Sequential Sampling - New York (Wiley & Sons).
• [27]. Waters W. E. 1955 - Sequential sampling in forest insect surveys - For. Sci., 1: 68-79.