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The species-area relation I. A model for discrete sampling

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Researches on Population Ecology

An Errata to this article was published on 01 September 1974

Summary

A simple mathematical model describing the species-area relation was developed. This paper dealt with the case that discrete random samples are combined.

Modelling was made on the assumption that the occurrence probability of a species in a quadrat has a continuous density distribution. The model, given by the equation (6), holds only for a particular size of quadrat (i.e. the characteristic area). More general form applicable to the quadrats the size of which is near to the characteristic area was represented by the equation (9).

Validity of the model was examined for the data of plant and insect communities, and it was concluded that the observation can be predicted by the model unless the size of sampling unit considerably differs from the characteristic area.

The uniformity of specific density (i. e. the number of species per quadrat) and the size of characteristic area were discussed as being important in an understanding of community structure.

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References

  • Archibald, E. E. A. (1949) The specific character of plant communities. I. Herbaceous communities.J. Ecol. 37: 260–273.

    Article  Google Scholar 

  • Corbet, A. S. (1942) The distribution of butterflies in the Malay Peninsula.Proc. R. Ent. Soc. Lond. (A) 16: 101–116. (Cited fromWilliams 1964)

    Google Scholar 

  • Feller, W. (1957)An introduction to probability theory and its applications. Vol. 1, (2nd ed.) Wiley, New York.

    Google Scholar 

  • Goodall, D. W. (1952) Quantitative aspect of plant distribution.Biol. Rev. 27: 194–245.

    Google Scholar 

  • Greig-Smith, P. (1964)Quantitative plant ecology. (2nd ed.) Butterworths, London.

    Google Scholar 

  • Hopkins, B. (1955) The species-area relation of plant communities.J. Ecol. 43: 409–426.

    Article  Google Scholar 

  • Katô, M., S. Kobayashi andY. Chiba (1968) Forest floor insect fauna of the Mt. Hakkôda area surveyed by means of the baited traps.Ann. Rep. JIBP-CTS for 1967, 173–194. (In Japanese with English summary).

  • Kilburn, P. D. (1966) Analysis of the species-area relation.Ecology 47: 831–843.

    Article  Google Scholar 

  • 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 

  • Numata, M. (1950) Survey methods and forms of the species-area relation.,Med. Biol. 17: 258–261. (In Japanese)

    Google Scholar 

  • Orians, G. H. andM. F. Willson (1964) Interspecific territories of birds.Ecology 45: 736–745.

    Article  Google Scholar 

  • Penfound, W. T. andJ. A. Howard (1940) A phytosociological study of an evergreen oak forest in the vicinity of New Orleans, Louisiana.Amer. Midl. Nat.,23: 165–174. (Cited fromRice andKelting, 1955)

    Article  Google Scholar 

  • Preston, F. W. (1960) Time and space and the variation of species.Ecology 41: 611–627.

    Article  Google Scholar 

  • Preston, F. W. (1962) The canonical distribution of commonness and rarity.Ecology 43: 185–215 and 410–432.

    Article  Google Scholar 

  • Rice E. L. andR. W. Kelting (1955) The species-area curve.Ecology 36: 7–11.

    Article  Google Scholar 

  • Shinozaki K. (1963) Note on the species-area curve.Proc. Ann. Meet. Ecol. Soc. Jap. (Tokyo): 5. (In Japanese)

  • 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.

    Article  Google Scholar 

  • Williams, C. B. (1964)Patterns in the balance of nature. Academic Press, London.

    Google Scholar 

  • Wynne-Edwards V. C. (1962)Animal dispersion in relation to social behaviour, Oliver and Boyd, Edinburgh.

    Google Scholar 

Download references

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Contributions from JIBP-CT No. 144.

An erratum to this article is available at http://dx.doi.org/10.1007/BF02514088.

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Kobayashi, S. The species-area relation I. A model for discrete sampling. Res Popul Ecol 15, 223–237 (1973). https://doi.org/10.1007/BF02510669

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