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A stochastic model based upon computer simulation using pre-emption to predict size distribution and species equitability

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Abstract

A model is proposed which predicts that the relationship between size and abundance of organisms is logarithmic when certain conditions are met, the most important among these being that the organisms are limited by a single resource. The model is presented in both a deterministic and stochastic form. Examples from experimental and field situations are given, and the model is discussed as to its general relevance and applicability.

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Literature

  • Hall, J. B. and M. D. Swaine. Unpublished data.

  • Harper, J. L. 1967. “A Darwinian approach to plant ecology.”Ecology,55, 242–270.

    Article  Google Scholar 

  • Harper, J. L. and J. White. 1970. “The dynamics of plant populations.”Proc. Adv. Study Inst. Dynamics Numbers Popul., Oosterbeck, 41–63.

  • Hutchinson, G. E. 1957. Concluding remarks.Cold Spring Harbor Symposium on Quantitative Biology,22, 415–427.

    Google Scholar 

  • Hutchinson, G. E. 1961. “The paradox of the plankton.”Am. Naturalist,95, 137–145.

    Article  Google Scholar 

  • Koyama, H. and T. Kira. 1956. “Intraspecific competition among higher plants—VIII. Frequency distribution of individual plant weight as affected by interaction between plants.”J. Inst. Polytech. Osaka City Univ. Ser. D,7, 73–94.

    Google Scholar 

  • Lawson, G. W., K. O. Armstrong-Mensah and J. B. Hall. 1970. “A catena in tropical moist semi-deciduous forest near Kade, Ghana.”J. Ecol.,58, 371–398.

    Article  Google Scholar 

  • MacArthur, R. H. 1972.Geographical Ecology: Patterns in the Distribution of Species. New York: harper & Row.

    Google Scholar 

  • Obeid, M. 1965. “Experimental models in the study of plant competition.” Ph.D. Thesis, University of Wales.

  • Preston, F. W. 1948. “The commonness and rarity of species.”Ecology,29, 254–283.

    Article  Google Scholar 

  • Schoener, T. W. 1974. “Resource partitioning in ecological communities.”Science,185, 27–38.

    Google Scholar 

  • Yoda, Y., T. Kira, H. Ogawa and K. Hozumi. 1963. “Self-thinning in overcrowed pure stands under cultivated and natural conditions.”J. Biol. Osaka City University 14, 107–129.

    Google Scholar 

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Authors and Affiliations

  1. Department of Zoology, University of Ghana, Legon, Ghana

    Milton Lieberman

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  1. Milton Lieberman
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Lieberman, M. A stochastic model based upon computer simulation using pre-emption to predict size distribution and species equitability. Bltn Mathcal Biology 39, 59–72 (1977). https://doi.org/10.1007/BF02460681

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  • DOI: https://doi.org/10.1007/BF02460681

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