Models of relative abundance distributions. 1, Model fitting by stochastic models

Ulrich, Werner

doi:ISSN 1505-2249

Przejdź do menu głównego
Przejdź do wyszukiwarki
Przejdź do treści
Przejdź do stopki

Pobierz

Tytuł: Models of relative abundance distributions. 1, Model fitting by stochastic models

Abstrakt:

The present paper studies possibilities to discriminate between 9 stochastic models of relative abundance distributions (RADs). It develops a new test statistic: for fitting based on least square distances and tests the applicability of methods described so far. The paper identifies three basic shapes of RADs termed power fraction, random assortment and Zipf-Mandelbrot type shape. It is shown that even a correct identification of the shape of a given data set requires that this data set is replicated more than 10 times. Estimates of necessary sample sizes for real animal or plant communities revealed that for communities with 20 to 100 species at least 200 to 500 times the species number is necessary for a correct model identification. The implications of these findings for the applicability of models of relative abundance distributions are discussed.

Bibliografia:

Bazzaz F. A. 1975 - Plant species diversity in oldfield successional ecosystems in southern Illinois - Ecology 56: 485-488.
Bersier L. F., Sugihara G. 1997 - Species abundance patterns: the problem of testing stochastic models - J. Anim. Ecol. 66: 769-774.
Btissenschtitt M, Pahl-Wostl C. 1999 - Diversity patterns in climax communities - Oikos 87: 531-540
Death R. G., Winterbourn M. J. 1995 - Diversity patterns in stream benthic invertebrate communities: the influence of habitat stability - Ecology 76: 1446-1460.
Ebenhoh W. 1988 - Coexistence of an unlimited number of algal species in a model system - Theor. Pop. Biol. 34: 130-144.
Eberhardt L. L. 1969 - Some aspects of species diversity models - Ecology 50: 503-505.
Ferriere R., Cazelles B. 1999 - Universal power laws govern intermittent rarity in communities of interacting species - Ecology 80: 1505-1521.
Fisher R. A., Corbet A. S., Williams C. B. 1943 - The relation between the number of species and the number of individuals in a random sample of an animal population - J. Anim. Ecol. 12: 42-58.
Frontier S. 1985 - Diversity and structure in aquatic ecosystems (In: Oceanography and Marine Biology - An Annual Review, Ed. M. Barnes) - Aberdeen, pp. 253-312.
Gregory R. 1994 - Species abundance patterns of British birds - Proc. R. Soc. Lond. B 257: 299-301.
Gulliksen B., Haug T., Sandnes O. K. 1980 - Benthic macrofauna on new and old grounds at Jan Mayen - Sarsia 65: 137-148.
Harvey P. H., Godfray H. C. J. 1987 - How species divide resources - Am. Nat. 129: 318-320.
Hubbell S. P. 1997 - A unified theory of biogeography and relative species abundance and ist application to tropical rain forest and coral reefs - Coral Reefs 16, Suppl.: S9-S21.
Hughes R. G. 1984 - A model of the structure and dynamics of benthic marine invertebrate communities - Mar. Ecol. Prog. Ser 15: 1-11.
Hughes R. G. 1986 - Theories and models of species abundance - Am. Nat. 128: 879-899.
Kempton R. A., Taylor L. R. 1976 - Models and statistics for species diversity - Nature 262: 818-820.
Kunin W. E., Gaston K. (Eds.) 1997 - The biology of rarity - London (Chapman and Hall).
Lande R. 1996 - Statistics and partitioning of species diversity, and similarity among multiple communities - Oikos 76: 5-13.
May R. M. 1975 - Patterns of species abundance and diversity (In: Ecology and Evolution of Communities, Eds. M.L. Cody, J.M. Diamond) - Cambridge, pp. 81-120.
Motomura I. 1932 - On the statistical treatment of communities - Zool. Mag. Tokyo 44: 379-383 (in Japanese).
Nee S, Harvey P.H., May R. M. 1991 - Lifting the veil on abundance patterns - Proc. R. Soc. Lond. B 243: 161 -163.
Patrick R. 1967 - Structure of the diatom community - Proc. Nat. Acad. Sci. USA 58: 1335-1362.
Peters S. E., Bork K. B. 1999 - Species-abundance models: An ecological approach to inferring paleoenvironment and resolving paleoecological change in the Waldron Shale (Silurian) - Palaios 14: 234-245.
Pielou E. C. 1975 - Ecological Diversity - New York (John Wiley and Sons).
Pielou E. C. 1977 - Mathematical Ecology - New York (John Wiley and Sons).
Pimm S. L. 1991 - The balance of nature? - Chicago (University Press).
Pimm S. L. 1993 - Life on an intermittent edge - Tree 8: 45-46.
Preston F. W. 1948 - The commonness and rarity of species - Ecology 29: 254-283.
Preston F. W. 1962a - The canonical distribution of commonness and rarity. Part I - Ecology 43: 185-215.
Preston F. W. 1962b - The canonical distribution of commonness and rarity. Part II - Ecology 43: 410-432.
Preston F. W. 1980 - Non-canonical distributions of commonness and rarity - Ecology 61 : 88-97.
Routledge R. D. 1980 - The form of species abundance distributions - J. Theor. Biol. 82: 547-558.
Schoener T. W., Spiller D. A. 1992 - Is extinction rate related to temporal variation in population size? An empirical answer for orb spiders - Am. Nat. 139: 1176-1207
Shaw K. M., Lambshead P. J. D., Platt H. M. 1983 - Detection of pollution induced disturbance in marine benthic assemblages with special reference to nematodes - Mar. Ecol. Prog. Ser. 11 : 195-202.
Siegel A. F., Sugihara G. 1983 - Moments of particle size distributions under sequential breakage with applications to species abundance - J. Appl. Prob. 20: 158-164.
Smith B., Wilson J. B. 1996 - A consumer's guide to evenness indices - Oikos 76: 70-82.
Sugihara G. 1980 - Minimal community structure: an explanation of species abundance patterns - Am. Nat. 116: 770-787.
Sugihara G. 1989 - How do species divide resources? - Am. Nat. 133: 458-463.
Tokeshi M. 1990 - Niche apportionment or random assortment: species abundance patterns revisited - J. Animal Ecol. 59: 1129-1146.
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.
Ugland K. I., Gray J. S. 1982 - Lognormal distributions and the concept of community equilibrium - Oikos 39: 171-178.
Ulrich W. 2000 - Niche segregation and coexistence of parasitic Hymenoptera of the Aspilota genus group (Hymenoptera, Braconidae) in a beech forest on limestone - Pol. J. Ecol. 48: 225-238.
Ulrich W. 2001: Models of relative abundance distributions II: diversity and evenness statistics - Pol. J. Ecol.49: 159-175.
Vandermeer J. 1993 - Loose coupling in predator prey cycles: entrainment, chaos, and intermittency in the classic MacArthur consumer-resource equations - Am. Nat. 141: 687-716.
Watkins A. J., Wilson J. B. 1994 - Plant community structure, and its relation to the vertical complexity of communities: dominance/diversity and spatial rank consistency - Oikos 70: 91 -98
Weiher E, Keddy P. A. 1999 - Relative abundance and evenness patterns along diversity and biomass gradients - Oikos 87: 355-361.
Whittaker R. H. 1972 - Evolution and measurement of species diversity - Taxon 21: 213-251.
Wilson J. B. 1991 - Methods for fitting dominance/diversity curves - J. Veg. Sci. 2: 35-46.
Wilson J. B., Gitay H. 1995 - Community structure and assembly rules in a dune slack: Variance in richness, guild proportionality, biomass constancy and dominance/diversity relations - Vegetatio 116: 93-106.
Wilson J. B., Gitay H., Steel J. B., King W. McG. 1998 - Relative abundance distributions in plant communities: effects of species richness and of spatial scale - J. Veg. Sci. 9: 213-220.
Wilson J. B., Steel J. B., King W. McG., Gitay H. 1999 - The effect of spatial scale on evenness - J. Veg. Sci. 10: 463-468.