The species abundance distribution of ecological communities has been represented through several mathematical models, of which the most common are: geometric series, logseries, lognormal, and a type of broken stick, this latter found only in animal communities. There is no consensus on the underlying biological processes, but initial observations on plant communities related these models to equilibrium and high richness (lognormal), stress or disturbance and low richness (logseries and geometric series). Recently the value of these relationships was challenged, and other descriptors were considered better predictors of richness, disturbance and stress. We aimed at investigating how these models and their parameters, as well as dominance and evenness are related with species richness, stress and disturbance in six tropical forest communities, SE Brazil: two well-conserved fragments, two disturbed by fire, and two swampy forests (anoxic stress). The models did not show consistent relationships with richness, disturbance or stress. The parameters and indices of diversity a (logseries) and l (lognormal) varied closely with richness, and the dominance was larger in the communities submitted to stress or disturbance. Our results indicate the need of further studies in order to validate (or refute) the use of abundance distribution models for detection of patterns related to richness, stress or disturbance in tropical arboreal communities. On the other hand, richness and dominance did respond to disturbance and stress.
Magurran, A.E. 1988. Ecological Diversity and its Measurement. Princeton University Press, Princeton.
Ecological Diversity and its Measurement. , ().
Hill, M.O. 1973. Diversity and evenness: a unifying notation and its consequences. Ecology 54: 427-432.
'Diversity and evenness: a unifying notation and its consequences ' () 54 Ecology : 427 -432 .
Simpson, E.H. 1949. Measurement of diversity. Nature 163: 688.
'Measurement of diversity ' () 163 Nature : 688 .
Wilson, J.B. 1991. Methods of fitting dominance/diversity curves.J. Veg. Sci. 2: 35-46.
'Methods of fitting dominance/diversity curves ' () 2 J. Veg. Sci. : 35 -46 .
Preston, F. W. 1948. The commonness and rarity of species. Ecology 29: 254-283.
'The commonness and rarity of species ' () 29 Ecology : 254 -283 .
Scudeller, V. V. and F.R. Martins. 2002. FITOGEO - Urn sistema de banco de dados aplicado à fitogeografia. Acta Amazonica (in press).
'FITOGEO - Urn sistema de banco de dados aplicado à fitogeografia ' () Acta Amazonica .
Pielou, E.C. 1975. Ecological Diversity. Wiley, New York.
Ecological Diversity. , ().
Sokal, R.R. and F.J. Rohlf. 1995. Biometry: the Principles and Practice of Statistics in Biological Research. 3rd ed. W.H. Freeman and Company, New York.
Biometry: the Principles and Practice of Statistics in Biological Research. , ().
Sugihara, G. 1980. Minimal community structure: an explanation of species abundance patterns. Am. Nat. 116: 770-787.
'Minimal community structure: an explanation of species abundance patterns ' () 116 Am. Nat. : 770 -787 .
Gray, J.S. 1987. Species-abundance patterns. In: J.H.R. Gee and P.S. Giller (eds.), Organization of Communities: Past and Present. Blackwell Science, Oxford, pp. 53-67.
Species-abundance patterns , () 53 -67 .
Greig-Smith, P. 1983. Quantitative Plant Ecology. 3rd ed. Black-well, Oxford.
Quantitative Plant Ecology. , ().
Grime, J.P. 1983. Plant Strategies and Vegetation Processes. Wiley, New York.
Plant Strategies and Vegetation Processes. , ().
Heck, K.L.J, G. Van Belle and D. Simberloff. 1975. Explicit calculation of the rarefaction diversity measurement and the determination of sufficient sample size. Ecology 56: 1459-1461.
'Explicit calculation of the rarefaction diversity measurement and the determination of sufficient sample size ' () 56 Ecology : 1459 -1461 .
Hill, J.K. and K.C. Hamer. 1998. Using species abundance models as indicators of habitat disturbance in tropical forests. J. Appl. Ecol. 35: 458-460.
'Using species abundance models as indicators of habitat disturbance in tropical forests ' () 35 J. Appl. Ecol. : 458 -460 .
Hubbell, S.P. and R.B. Foster. 1983. Diversity of canopy trees in a neotropical forest and implications for conservation. In: S.L. Sutton, T.C. Whitmore and A.C. Chadwick (eds.), Tropical Rain Forest: Ecology and Management. Blackwell Scientific Publications, Oxford, pp. 25-41.
Diversity of canopy trees in a neotropical forest and implications for conservation , () 25 -41 .
Hughes, R.G. 1986. Theories and models of species abundance. Am. Nat. 128: 879-899.
'Theories and models of species abundance ' () 128 Am. Nat. : 879 -899 .
Hurlbert, S.H. 1971. The nonconcept of species diversity: a critique and alternative parameters. Ecology 52: 577-586.
'The nonconcept of species diversity: a critique and alternative parameters ' () 52 Ecology : 577 -586 .
Joly, C.A. 1986. Heterogeneidade ambiental e diversidade de es-tratégias adaptativas de espécies arbóreas de mata de galeria Anais do X simpósio da Academia de Ciências do Estado de São Paulo 1: 19-38.
'Heterogeneidade ambiental e diversidade de es-tratégias adaptativas de espécies arbóreas de mata de galeria ' () 1 Anais do X simpósio da Academia de Ciências do Estado de São Paulo : 19 -38 .
Joly, C.A. 1991. Flooding tolerance in tropical trees. In: M.B. Jacksons, D.D. Daves and H. Lambers (eds.), Plant Life under Oxygen Deprivation. SPB Academic Publishing. The Hague. pp. 23-34.
Flooding tolerance in tropical trees , () 23 -34 .
Joly, C.A. and R.M.M. Crawford. 1982. Variation in tolerance and metabolic responses to flooding in some tropical trees. J. Exp. Bot. 33: 799-809.
'Variation in tolerance and metabolic responses to flooding in some tropical trees ' () 33 J. Exp. Bot. : 799 -809 .
Leigh, E.G.Jr. 1999. Tropical Forest Ecology: A View from Barro Colorado Island. Oxford University Press, New York.
Tropical Forest Ecology: A View from Barro Colorado Island , ().
MacArthur, R.H. 1957. On the relative abundance of bird species. Proceedings of the National Academy of Science 43: 293-295.
'On the relative abundance of bird species ' , , .
MacArthur, R.H. 1960. On the relative abundance of species. Am. Nat. 94: 25-36.
'On the relative abundance of species ' () 94 Am. Nat. : 25 -36 .
May, R.M. 1975. Patterns of species abundance and diversity. In: M.L. Cody and J.M. Diamond (eds.), Ecology and Evolution of Communities. Belknap Press of the Harvard University, Cambridge, pp. 81-120.
Patterns of species abundance and diversity , () 81 -120 .
Metzger, J.P., R. Goldenberg and L.C. Bernacci. 1998. Diversidade e estrutura de fragmentos de mata de várzea e de mata mesófila semidecídua submontana do Rio Jacaré-Pepira (SP). Revista Brasileira de Botânica 21: 321-330.
'Diversidade e estrutura de fragmentos de mata de várzea e de mata mesófila semidecídua submontana do Rio Jacaré-Pepira (SP) ' () 21 Revista Brasileira de Botânica : 321 -330 .
Motomura, I. 1932. A statistical treatment of associations. Jap. J. Zool. 44: 379-383.
'A statistical treatment of associations ' () 44 Jap. J. Zool. : 379 -383 .
Nummelin, M. 1998. Log-normal distribution of species abundances is not a universal indicator of rain forest disturbance. J. Appl. Ecol. 35: 454-457.
'Log-normal distribution of species abundances is not a universal indicator of rain forest disturbance ' () 35 J. Appl. Ecol. : 454 -457 .
Tabanez, A.J.A., V.M. Viana and A.D.S. Dias. 1997. Conseqüências da fragmenta¸ão e do efeito de borda sobre a estrutura, diversidade e sustentabilidade de um fragmento de floresta de planalto de Piracicaba, SP. Revista Brasileira de Biologia 57: 47-60.
'Conseqüências da fragmenta¸ão e do efeito de borda sobre a estrutura, diversidade e sustentabilidade de um fragmento de floresta de planalto de Piracicaba, SP ' () 57 Revista Brasileira de Biologia : 47 -60 .
Toniato, M.T.Z., H.F. Leitao Filho and R.R. Rodrigues. 1998. Fitossociologia de um remanescente de floresta higrofila (mata de brejo) em Campinas, SP. Revista Brasileira de Botânica 21: 197-210.
'Fitossociologia de um remanescente de floresta higrofila (mata de brejo) em Campinas, SP ' () 21 Revista Brasileira de Botânica : 197 -210 .
Basset, Y., V. Novotny, S.E. Miller and N.D. Springate. 1998. Assessing the impact of forest disturbance on tropical invertebrates: some comments. J. Appl. Ecol. 35: 461-466.
'Assessing the impact of forest disturbance on tropical invertebrates: some comments ' () 35 J. Appl. Ecol. : 461 -466 .
Bulla, L. 1994. An index of evenness and its associated diversity measure. Oikos 70: 167-171.
'An index of evenness and its associated diversity measure ' () 70 Oikos : 167 -171 .
Catharino, E.L.M. 1989. Estudos fisiônomico, floristico e fitossociológico em matas residuais secundárias do município de Pi-racicaba, SP. M.Sc. Thesis. Campinas State University, Campinas, Brazil.
Cielo Filho, R. 2001. Estrutura de abundância de um trecho da Floresta Estacional Semidecídua no município de Campinas, estado de São Paulo: Mata Ribeirão Cachoeira. M.Sc. Thesis. Campinas State University, Campinas, Brazil.
Cohen, A.C. Jr. 1959. Simplified estimators for the normal distribution when samples are singly censored or truncated. Technometrics 1: 217-237.
'Simplified estimators for the normal distribution when samples are singly censored or truncated ' () 1 Technometrics : 217 -237 .
Cohen, A.C. Jr. 1961. Tables of maximum likelihood estimates: singly truncated and singly censored samples. Technometrics 3: 535-541.
'Tables of maximum likelihood estimates: singly truncated and singly censored samples ' () 3 Technometrics : 535 -541 .
Cohen, J.E. 1968. Alternative derivations of a species abundance relation. Am. Nat. 102: 165-172.
'Alternative derivations of a species abundance relation ' () 102 Am. Nat. : 165 -172 .
Conover, W.J. 1999. Practical Nonparametric Statistics. 3rd ed. John Wiley, New York.
Practical Nonparametric Statistics. , ().
Cotgreave, P. and P. Harvey. 1994. Evenness of abundance in bird communities. J. Anim. Ecol. 63: 365-374.
'Evenness of abundance in bird communities ' () 63 J. Anim. Ecol. : 365 -374 .
Fisher, R.A., A.S. Corbert and C.B. Williams. 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.
'The relation between the number of species and the number of individuals in a random sample of an animal population ' () 12 J. Anim. Ecol. : 42 -58 .
Martins, F.R. and F.A.M. Santos. 1999. Técnicas usuais de estimative da biodiversidade. Revista Holos, edi¸ão especial: 236-267.
Técnicas usuais de estimative da biodiversidade , () 236 -267 .
Torres, R.B., L.A.F. Matthes and R.R. Rodrigues. 1994. Florística e estrutura do componente arbóreo de mata de brejo em Campinas, SP. Revista Brasileira de Botânica 17: 189-194.
'Florística e estrutura do componente arbóreo de mata de brejo em Campinas, SP ' () 17 Revista Brasileira de Botânica : 189 -194 .
Ugland, K.I. and J.S. Gray. 1982. Lognormal distributions and the concept of community equilibrium. Oikos 39: 171-178.
'Lognormal distributions and the concept of community equilibrium ' () 39 Oikos : 171 -178 .
Watkins, A.J. and J.B. Wilson. 1994. Plant community structure, and its relation to the vertical complexity of communities: dominance/diversity and spatial rank consistency. Oikos 70: 91-98.
'Plant community structure, and its relation to the vertical complexity of communities: dominance/diversity and spatial rank consistency ' () 70 Oikos : 91 -98 .
Whittaker, R.H. 1965. Dominance and diversity in land plant communities. Science 147: 250-260.
'Dominance and diversity in land plant communities ' () 147 Science : 250 -260 .
Whittaker, R.H. 1972. Evolution and measurement of species diversity. Taxon 21: 213-251.
'Evolution and measurement of species diversity ' () 21 Taxon : 213 -251 .
Wilson, J.B. and H. Gitay. 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.
'Community structure and assembly rules in a dune slack: variance in richness, guild proportionality, biomass constancy and dominance/diversity relations ' () 116 Vegetatio : 93 -106 .
Wilson, J.B., H. Gitay, J.B. Steel and W.McG. King. 1998. Relative abundance distributions in plant communities: effects of species richness and of spatial scale. J. Veg. Sci. 9: 213-220.
'Relative abundance distributions in plant communities: effects of species richness and of spatial scale ' () 9 J. Veg. Sci. : 213 -220 .
Wilson, J.B., T.C.E. Wells, I.C. Trueman, G. Jones, M.D. Atkinson, M.J. Crawley, M.E. Dodd and J. Silvertown. 1996. Are there assembly rules for plant species abundance? An investigation in relation to soil resources and successional trends. J. Ecol. 84: 527-538.
'Are there assembly rules for plant species abundance? An investigation in relation to soil resources and successional trends ' () 84 J. Ecol. : 527 -538 .
I. Trueman M. Jones, D. M. Atkinson, J.M. Crawley, E. Dodd, J. Silvertown, 1996 Are there assembly rules for plant species abundance? An investigation in relation to soil resources and successional trends. J. Ecol.84: 527-538
'Are there assembly rules for plant species abundance? An investigation in relation to soil resources and successional trends ' () 84 J. Ecol. : 527 -538 .
Zar, J.H. 1999. Biostatistical Analysis. 4th ed. Prentice Hall, New Jersey.
Biostatistical Analysis. , ().