Estimating species numbers by extrapolation. 1 ; Comparing the performance of various estimators using large model communities
Polish Academy of Sciences. Institute of Ecology
Polish Academy of Sciences. Institute of Ecology. Publishing Office
Pages 271-291 : illustrations ; 27 cm ; Bibliographical references (pages 289-291)
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.
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.
oai:rcin.org.pl:106123 ; ISSN 1505-2249
MiIZ PAN, call no. P.2840 ; click here to follow the link
Creative Commons Attribution BY 3.0 PL license
Copyright-protected material. [CC BY 3.0 PL] May be used within the scope specified in Creative Commons Attribution BY 3.0 PL license, full text available at: ; -
Museum and Institute of Zoology of the Polish Academy of Sciences
Library of the Museum and Institute of Zoology of the Polish Academy of Sciences
Feb 4, 2022
Jan 20, 2020
40
https://rcin.org.pl./publication/90902
Ulrich, Werner
Ulrich, Werner
Ulrich, Werner
Ulrich, Werner
Ulrich, Werner
Ulrich, Werner
Ulrich, Werner