Researches on Population Ecology

, Volume 16, Issue 2, pp 265–280 | Cite as

The species-area relation II. A second model for continuous sampling

  • Shiro Kobayashi


A second mathematical model describing the species-area relation was proposed for continuous expanding of sample area. This model is expressed asS=λ ln(1+x/E) whereS is the number of species occurring in an areax, and λ andE are the constants termedspecific diversity andelemental area respectively. As a result of testing the validity of the model for several sets of data, it was shown that the above equation would provide an adequate fit to a group of species belonging to a single synusia which exists in an open habitat.

The ecological implications of parameters involved were discussed and the characteristic area presented previously (Kobayashi, 1974) was defined in terms ofE. The relation between results obtained by discrete sampling and continuous sampling was examined and the possibility of converting one to another was suggested.


Plant Community Sampling Unit Elemental Area Discrete Sampling Continuous Sampling 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Anscombe, F. J. (1950) Sampling theory of the negative binomial and logarithmic series distributions.Biometrika 37: 358–382.PubMedCrossRefGoogle Scholar
  2. Archibald, E. E. A. (1949a) The specific character of plant communities. I. Herbaceous communities.J. Ecol. 37: 260–273.CrossRefGoogle Scholar
  3. Archibald, E. E. A. (1949b) Ditto. II. A quantitative approach.J. Ecol. 37: 274–288.CrossRefGoogle Scholar
  4. Arrhenius, O. (1921) Species and area.J. Ecol. 9: 95–99 Cited fromGoodall, 1952)CrossRefGoogle Scholar
  5. Brian, M. V. (1953) Species frequencies in random samples from animal populations.J. Anim. Ecol. 22: 57–64.CrossRefGoogle Scholar
  6. Cain, S. A. andG. M. Castro (1959)Mannual of vegetation analysis. Harper, New York.Google Scholar
  7. Curtis, J. T. (1955) A prairie continuum in Wisconsin.Ecology 36: 558–566.CrossRefGoogle Scholar
  8. Evans, F. C., P. J. Clark andR. H. Brand (1955) Estimation of the number of species present on a given area.Ecology 36: 342–343.CrossRefGoogle Scholar
  9. Fisher, R. A., A. S. Corbet andC. 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.CrossRefGoogle Scholar
  10. Gleason, H. A. (1922) On the relation between species and area.Ecology 3: 158–162. (Cited fromGoodall, 1952)CrossRefGoogle Scholar
  11. Goodall, D. W. (1952) Quantitative aspects of plant distribution.Biol. Rev. 27: 194–245.Google Scholar
  12. Hairston, N. G. (1959) Species abundance and community organization.Ecology 40: 404–416.CrossRefGoogle Scholar
  13. Hamilton, T. H., I. Rubinoff, R. H. Barth, Jr. andG. L. Bush (1963) Species abundance: Natural regulation of insular variation.Science 142: 1575–1577.CrossRefPubMedGoogle Scholar
  14. Hopkins, B. (1955) The species-area relation of plant communities.J. Ecol. 43: 409–426.CrossRefGoogle Scholar
  15. Hopkins, B. (1957) The concept of minimal area.J. Ecol. 45: 441–449.CrossRefGoogle Scholar
  16. Kilburn, P. D. (1963) Exponential values for the species-area relation.Science 141: 1276.CrossRefPubMedGoogle Scholar
  17. Kilburn, P. D. (1963) Analysis of the species-area relation.Ecology 47: 831–843.CrossRefGoogle Scholar
  18. Kobayashi, S. (1974) The species-area relation. I. A model for discrete sampling.Res. Popul. Ecol. 15: 223–237.Google Scholar
  19. Kylin, H. (1926) Über Begriffsbildung und Statistik in der Pflanzensoziologie.Bot. Notiser 81–180. (Cited fromMotomura, 1935)Google Scholar
  20. MacArthur, R. H. (1965) Patterns of species diversity.Biol. Rev. 40: 510–533.Google Scholar
  21. Motomura, I. (1935) Relation between the area of sampling and the number of species in the animal association.Ecol. Rev. 1: 195–199. (In Japanese)Google Scholar
  22. Poore, M. E. D. (1962) The method of successive approximation in descriptive ecology.Adv. Ecol. Res. 1:35–68.CrossRefGoogle Scholar
  23. Preston, F. W. (1948) The commonness, and rarity, of species.Ecology 29: 254–283.CrossRefGoogle Scholar
  24. Preston, F. W. (1960) Time and space and the variation of species.Ecology 41: 611–627.CrossRefGoogle Scholar
  25. Preston, F. W. (1962) The canonical distribution of commonness and rarity.Ecology 43: 185–215 and 410–432.CrossRefGoogle Scholar
  26. Rice, E. L. andR. W. Kelting (1955) The species-area curve.Ecology 36: 7–11.CrossRefGoogle Scholar
  27. Romell, L. G. (1925) Om inverkan av växtsamhällenas struktur p⇘ växtsamhällsstatistikens resultat.Bot. Notiser 253–298. (Cited fromMotomura, 1935)Google Scholar
  28. Shinozaki, K. (1959) The dispersive structure of species. InNumata, M. (ed.),Plant ecology 1: 191–229, Kokin-Shoin, Tokyo. (In Japanese).Google Scholar
  29. Whittaker, R. H. (1952) A study of summer foliage insect communities in the Great Smoky Mountains.Ecol. Monogr. 22: 1–44.CrossRefGoogle Scholar
  30. Whittaker, R. H. (1956) Vegetation of the Great Smoky Mountains.Ecol. Monogr. 26: 1–80.CrossRefGoogle Scholar
  31. Whittaker, R. H. (1965) Dominance and diversity in land plant communities.Science 147: 250–260.CrossRefPubMedGoogle Scholar
  32. Williams, C. B. (1943) (seeFisher et al., 1943)Google Scholar
  33. Williams, C. B. (1950) The application of the logarithmic series to the frequency of occurrence of plant species in quadrats.J. Ecol. 38: 107–138.CrossRefGoogle Scholar

Copyright information

© The Society of Population Ecology 1975

Authors and Affiliations

  • Shiro Kobayashi
    • 1
  1. 1.Laboratory of Applied Zoology, Faculty of AgricultureYamagata UniversityYamagataJapan

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