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L-system-based model of growth of dark coniferous tree species


On the basis of L-systems a mathematical model was designed to describe the growth of a dark coniferous tree. The software models a virtual timber stand composed of single trees and its further development. To eliminate branch crossing of growing trees, the rule forbidding shoot growth into the space already occupied was applied to the model. The model parameters were defined for two dark coniferous species of the southern Sikhote-Alin’ — Jezo spruce (Picea jezoensis) and Khingam fir (Abies nephrolepis). The model describes various modifications of tree crown under the influence of neighbouring trees, height uncertainty of crown starting point, variation of taper and shape of a trunk depending on plantation density, and recovery of normal tree growth after singling. Comparison of the modelled results and empirical observations show that the model succeeds in describing the growth both of single trees and of mixed plantations.

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  1. T. A. Oya, “Spatial and Temporal Variability of Forest Structure (on Example of Fir-Grove),” Candidate’s Dissertation in Biology (Tartu, 1984) [in Russian].

  2. W. Kurth, Ecological Modelling 75/76, 299 (1994).

    Article  Google Scholar 

  3. W. Kurth, W. Sloboda, Silvia Fennica 31(3), 285 (1997).

    Google Scholar 

  4. W. Kurth, Bayreuter Forum Oekologie 52, 53 (1998).

    Google Scholar 

  5. P. W. Prusinkewitcz, W. R. Remfrey, C. G. Davidson, and M. S. Hammel, Can. J. Bot. 75(5), 701 (1994).

    Article  Google Scholar 

  6. C. H. Diaz-Ambrona, A. M. Tarquiz, and M. I. Minguez, Field Crop Research 58, 1 (1998).

    Article  Google Scholar 

  7. V. L. Gavrikov and O. P. Sekretenko, Ecological Modelling 88, 183 (1996).

    Article  Google Scholar 

  8. L. A. Cochrane and E. D. Ford, J. Appl. Ecol. 15, 227 (1978).

    Article  Google Scholar 

  9. S. Kellomaki, V. P. Ikonen, H. Peltola, and T. Kolstrom, Ecological Modelling 122, 117 (1999).

    Article  Google Scholar 

  10. P. Reffye, T. Fourcaud, F. Blaise, et al., Silvia Fennica 31(3), 297 (1997).

    Google Scholar 

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Original Russian Text © A.M. Omel’ko, 2006, published in Sibirskii Ekologicheskii Zhurnal, 2006, Vol. 13, No. 2, pp. 181–188.

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Omel’ko, A.M. L-system-based model of growth of dark coniferous tree species. Contemp. Probl. Ecol. 1, 272–277 (2008).

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  • Tree Growth
  • Model Space
  • Contemporary Problem
  • Shoot Formation
  • Tree Crown