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A Matrix Model of Tree Population Dynamics

  • Gary S. Hartshorn
Part of the Ecological Studies book series (ECOLSTUD, volume 11)

Abstract

The purpose of this short paper is to explain how a projection matrix model has been used to describe the population dynamics of a tropical tree species (Hartshorn, 1972). A detailed description of model development and some potential uses of the model will be presented. The tree Pentaclethra macroloba (Willd.) Ktze. (Mimosaceae) is a large canopy species dominating areas of tropical wet forest in the Atlantic lowlands of Costa Rica.

Keywords

Latent Root Matrix Model Initial Matrix Araucaria Forest Lasioderma Serricorne 
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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References

  1. Bosch, C. A., 1971. Redwoods: A population model. Science 172:345–349.PubMedCrossRefGoogle Scholar
  2. Gadgil, M., and O. T. Solbrig. 1972. The concept of r-and K-selection: Evidence from wild flowers and some theoretical considerations. Am. Nat. 106(947): 14–31.CrossRefGoogle Scholar
  3. Gantmacher, F. R. 1959. The Theory of Matrices, K. A. Hirsch, transl. Vol. II. New York: Chelsea.Google Scholar
  4. Harper, J. L. 1967. A Darwinian approach to plant ecology. J. Ecol. 55(2): 247–270.CrossRefGoogle Scholar
  5. Hartshorn, G. S. 1972. The ecological life history and population dynamics of Pen-taclethra macroloba, a tropical wet forest dominant and Stryphnodendron excel-sum, an occasional associate. Ph.D. dissertation, Univ. Washington, Seattle.Google Scholar
  6. Havel, J. J. 1971. The Araucaria forests of New Guinea and their regenerative capacity. J. Ecol. 59(1): 203–214.CrossRefGoogle Scholar
  7. Janzen, D. H. 1970. Herbivores and the number of tree species in tropical forests. Am. Nat. 104(940): 501–528.CrossRefGoogle Scholar
  8. Keyfitz, N. 1968. Introduction to the Mathematics of Populations. Reading, Mass.: Addison-Wesley.Google Scholar
  9. Lefkovitch, L. P. 1965. The study of population growth in organisms grouped by stages. Biometrics 21:1–18.CrossRefGoogle Scholar
  10. Leslie, P. H. 1945. On the use of matrices in certain population mathematics. Bio-metrika 33:183–212.Google Scholar
  11. Niering, W. A., R. H. Whittaker, and C. H. Lowe. 1963. The saguaro: A population in relation to environment. Science 142:15–23.PubMedCrossRefGoogle Scholar
  12. Pelton, J. 1953. Ecological life cycle of seed plants. Ecology 34(3): 619–628.CrossRefGoogle Scholar
  13. Shreve, F. 1910. The rate of establishment of the giant cactus. Plant World 13:235–240.Google Scholar
  14. Turner, R. M., S. M. Alcorn, and G. Olin. 1969. Mortality of transplanted saguaro seedlings. Ecology 50(5): 835–844.CrossRefGoogle Scholar
  15. Usher, M. B. 1966. A matrix approach to the management of renewable resources, with special reference to selection forests. J. Appl. Ecol. 3:355–367.CrossRefGoogle Scholar
  16. Usher, M. B. 1969. A matrix model for forest management. Biometrics 25:309–315.CrossRefGoogle Scholar
  17. Womersley, J. S. 1958. The Araucaria forests of New Guinea. In Proc. Symp. Humid Tropics Vegetation, pp. 252–257. Tjiawi, Indonesia: UNESCO.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1975

Authors and Affiliations

  • Gary S. Hartshorn

There are no affiliations available

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