Subtitle:

Estimating species numbers by extrapolation. 1 ; Comparing the performance of various estimators using large model communities

Contributor:

Polish Academy of Sciences. Institute of Ecology

Publisher:

Polish Academy of Sciences. Institute of Ecology. Publishing Office

Place of publishing:

Dziekanów Leśny

Description:

Strony 271-291 : ilustracje ; 27 cm ; Bibliografia na stronach 289-291

Type of object:

Czasopismo/Artykuł

Abstract:

A computer program was constructed that simulates large species assemblages (28 to 997 species) with various species-rank order distributions and degrees of aggregation of the species. From these model assemblages random samples were taken to study the performance of 14 estimators of species diversity. For 6 of the estimators correction factors are developed. In sufficiently large samples (more than 2/3 of the true species number (TS) sampled) a corrected second order jackknife estimator gave the best results. 18% of the estimates ranged outside TS ± 10%. If fewer species are represented in the sample (but more than 1/3 TS) two newly developed data analytical estimators performed better. Between 23 and 24%, respectively, of their estimates ranged outside TS ± 20%. Crucial to the performance of all of the estimators is the sample size. The minimum sample size for an estimator to work has to contain at least 1/3 of the total species number.

References:

Baltanas A. 1992 - On the use of some methods for the estimation of species richness - Oikos, 65: 484-492.
Boulinier Th., Nichols J. D., Sauer J. R., Hines J. E., Pollock K. H. 1998 - Estimating species richness: the importance of heterogeneity in species detectability - Ecology, 79: 1018-1028.
Brainerd B. 1972 - On the relation between types and tokens in literary text - J. Appl. Prob. 9: 507-518.
Bunge J., Fitzpatrick M. 1993 - Estimating the number of species: a review - J. Am. Stat. Assoc. 88: 364-373.
Burnham K. P., Overton W. S. 1978 - Estimation of the size of a closed population when capture probabilities vary among animals - Biometrika, 65: 623-633.
Burnham K. P., Overton W. S. 1979 - Robust estimation of population size when capture probabilities vary among animals - Ecology. 60: 927-936.
Chao A. 1984 - Non-parametric estimation of the number of classes in a population - Scand. J. Stat. 11: 265-270.
Chao L. 1987 - Estimating the population size for capture - recapture data with unequal catchability - Biometrics, 43: 783-791.
Chao A., Lee S. M. 1992 - Estimating the number of classes via sample coverage - J. Am. Sta. Assoc. 87: 210-217.
Chao A., Lee S. M., Jeng S. L. 1992 - Estimation of population size for capture-recapture data when capture probabilities vary by time and individual animal - Biometrics, 48: 201-216.
Coddington J. A., Young L. H., Coyle F. A. 1996 - Estimating spider species richness in a Southern Appalachian cove hardwood forest - J. Arachnology, 24: 111-128.
Colwell R. K., Coddington J. A. 1994 - Estimating terrestrial biodiversity through extrapolation - Phil. Trans. R. Soc. Lond. B: 345: 101-118.
Currie D. J. 1993 - What shape is the relationship between body mass and population density - Oikos, 66: 353.
De Caprariis P., Lindemann R. H., Collins C. 1976 - A method for determining optimum sample size in species diversity studies - Math. Geol. 8: 575-581.
Edwards L. E. 1997 - A useful procedure for estimating the species richness of spiders - J. Arachnology, 25: 99-105.
Gaston K. J. 1993 - Comparing animals and automobiles: a vehicle for understanding body size and abundance relationships in species assemblages? - Oikos, 66: 172-179.
Heltshe J., Forrester N. E. 1983 - Estimating species richness using the jackknife procedurę - Biometrics 39: 1-11.
Hilpert H. 1989 - Zur Hautfluglerfauna eines sudbadischen Eichen-Hainbuchenmischwaldes - Spixiana, 12: 57-90.
Hodkinson I. D., Hodkinson E. 1993 - Pondering the imponderable: a probability based approach to estimating insect diversity from repeat faunal samples - Ecol. Entomol. 18: 91-92.
Hughes R. G. 1986 - Theories and models of species abundance - Am. Nat. 128: 879-899.
Hurvich C. M., Tsai C. 1989 - Regression and time series model selection in small samples - Biometrika, 76: 297-307.
Keating K. A. 1998 - Estimating species richness: the Michaelis-Menten model revisited - Oikos, 81: 411-416.
Kobayashi S., Kimura K. 1994 - The number of species occurring in a sample of a biotic community and its connections with species-abundance relationships and spatial distribution - Ecol. Res. 9: 281-294.
Lauga J., Joachim J. 1987 - L'echantillonnage des populations d'oiseaux par la methode des E.F.P.: interet d'une etude mathemathique de la courbe de richesse cumulee - Acta Oecol. Oecol. Gen. 8: 117-124.
Lawton J. H. 1990 - Species richness and population dynamics of animal assemblages. Patterns in body-size: abundance space - Phil. Tans. R. Soc. Lond. B 330: 283-291.
Lee S. M., Chao A. 1994 - Estimating population size via sample coverage for closed capture-recapture models - Biometrics 50: 88-97.
Longino J. T., Colwell R. K. 1997 - Biodiversity assessment using structured inventory: capturing the ant fauna of a tropical rain forest - Ecol. Appl. 7: 1263-1277.
McArdle B. H., Gaston K. J., Lawton J. H. 1990 - Variation in the size of animal populations: patterns, problems and artefacts - J. Anim. Ecol. 59: 439-454.
Miller R. I., Wiegert R. G. 1989 - Documenting completeness, species-area relations, and the species abundance distribution of a regional flora - Ecology, 70: 16-22.
Mingoti S. A., Meeden G. 1992 - Estimating the total number of distinct species using presence and absence data - Biometrics, 48: 863-875.
Morris J. G. 1976 - Physikalische Chemie fur Biologen – Weinheim, New York, 1-345.
Norris J. L., Pollock K. H. 1996 - Nonparametric MLE under two closed capture-recapture models with heterogeneity - Biometrics, 52: 639-649.
Palmer M. W. 1990 - The estimation of species richness by extrapolation - Ecology, 71: 1195-1198.
Palmer M. W. 1991 - The estimation of species richness: the second-order jackknife reconsidered - Ecology. 72: 1512-1513.
Pielou E. C. 1977 - Mathematical Ecology - New York, 1-385.
Preston F. W. 1962 - The canonical distribution of commonness and rarity. Part I – Ecology 43: 185-215.
Schaefer M. 1991 - Fauna of the European temperate deciduous forest (In: Temperate deciduous forests. Eds. E. Rohrig, B. Ulrich) - Ecosystems of the world 7. Amsterdam. pp. 503-525.
Schaefer M. 1996 - Die Bodenfauna von Waldern: Biodiversitat in einem okologischen System - Abh. Math.-Naturw. Klasse 1996, 2, Stuttgart.
Scharf S. F., Juanes F., Sutherland M. 1998 - Inferring ecological relationships from the edges of scatter diagrams: comparisons of regression techniques - Ecology, 79: 448-460.
Slocomb J., Dickson K. L. 1978 - Estimating the total number of species in a biological community (In: Biological data in water pollution assessment: quantitative and statistical analyses, Eds.: K. L. Dickson, J. Cairns Jr., R. J. Livingston) - Philadelphia, pp. 38-52.
Slocomb J., Stauffer B., Dickson K. L. 1977 - On fitting the truncated lognormal distribution to species abundance data using maximum likelihood estimation - Ecology. 58: 693-696.
Smith E. P., van Belle G. 1984 - Nonparametric estimation of species richness - Biometrics, 40: 119-129.
Soberon M. J., Llorente B. J. 1993 - The use of species accumulation functions for the prediction of species richness - Cons. Biol. 7: 480-488.
Solow A. R. 1994 - On the Bayesian estimation of the number of species in a community - Ecology 75: 2139-2142.
Stout J., Vandermeer J. 1975 - Comparison of species richness for stream-inhabiting insects in tropical and midlatitude streams - Am. Nat. 109: 263-280.
Sugihara G. 1980 - Minimal community structure: an explanation of species abundance patterns - Am. Nat. 116: 770-787.
Tackaberry R., Brokaw N., Kellman M., Mallory E. 1997 - Estimating species richness in tropical forest: the missing species extrapolation technique - J. Trop. Ecol. 13: 449-458.
Tokeshi M. 1993 - Species, abundance patterns and community structure - Adv. Ecol. Res. 24: 111-186.
Tokeshi M. 1996 - Power fraction: a new explanation of relative abundance patterns in species-rich assemblages - Oikos, 75: 543-550.
Ulrich W. 1998 - The parasitic Hymenoptera in a beech forest on limestone I: Species composition, species turnover, abundance and biomass - Pol. J. Ecol. 46: 261-289.
Ulrich W. 1999a - Estimating species numbers by extrapolation II: determining the minimum sample size to obtain a certain fraction of species in a community - Pol. J. Ecol. 47: 293-305.
Ulrich W. l999b - The density - size and the biomass - weight distribution is generated by the species - size distribution together with Density Fluctuations: Evidence from Model Species Distributions in the Hymenoptera - Pol. J. Ecol. 47: 87-101.
Ulrich W. 1999c - Abundance, biomass and density boundaries in the Hymenoptera: analysis of the abundance - body size relationship and differences between forest and open landscape habitats - Pol. J. Ecol. 47: 73-86.
Walther B. A., Morand S. 1998 - Comparative performance of species richness estimation methods - Parasitology, 116: 395-405.
Winklehner R., Winkler H., Kampichler C. 1997 - Estimating local species richness of epigeic Collembola in temperate dry grassland - Pedobiologia, 41: 154-158.

Relation:

Polish Journal of Ecology

Volume:

47

Issue:

3

Start page:

271

End page:

291

Detailed Resource Type:

Artykuł

Resource Identifier:

oai:rcin.org.pl:106123 ; ISSN 1505-2249

Source:

MiIZ PAN, sygn. P.2840 ; click here to follow the link

Language:

eng

Language of abstract:

Rights:

Licencja Creative Commons Uznanie autorstwa 3.0 Polska

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 3.0 PL] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 3.0 Polska, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Muzeum i Instytut Zoologii Polskiej Akademii Nauk

Original in:

Biblioteka Muzeum i Instytutu Zoologii PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

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