Consequences of the fractal architecture of trees on their structural measures

Journal of Theoretical Biology

Volumn 251, Issue 1, 2008, Pages 82-92

  Pluciński, Mateusz ^a   Pluciński, Szymon ^a   Rodríguez Iturbe, Ignacio ^a  

^a Princeton University   (United States)

Author keywords

Biomechanics; Power law distribution

Indexed keywords

ARCHITECTURE; BIOMECHANICS; COMPUTER SIMULATION; MEASUREMENT METHOD; POWER LAW DISTRIBUTION; TAXONOMY; TREE;

ARTICLE; BIOMECHANICS; FORCE; FRACTAL ANALYSIS; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SHEAR STRESS; TREE;

COMPUTER SIMULATION; FRACTALS; MODELS, BIOLOGICAL; MODELS, STRUCTURAL; TREES;

EID: 39149119636     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2007.10.042     Document Type: Article

References (13)

1. Bertram J.E.A. Size-dependent differential scaling in branches: the mechanical design of trees revisited. Trees 4 (1989) 241-253
2. Ferraro P., Godin C., and Prusinkiewicz P. Toward a quantification of self-similarity in plants. Fractals 13 2 (2005) 91-109
3. Fourcaud T., Lac P., Blaise F., Castéra P., and de Reffye P. Numerical modelling of shape regulation and growth stresses in trees. Trees 17 (2003) 23-39
4. Mandelbrot B. The Fractal Geometry of Nature (1982), W.H. Freeman, San Francisco
5. McMahon T. Size and shape in biology. Science 179 (1973) 1201-1204
6. McMahon T., and Kronaeur R. Tree structures: deducing the principle of mechanical design. J. Theor. Biol. 59 (1976) 443-466
7. Morgan J., and Cannell M. Shape of tree stems-a re-examination of the uniform stress hypothesis. Tree Physiol. 14 (1994) 49-62
8. Niklas K. Plant Biomechanics (1992), University of Chicago Press, Chicago
9. Niklas K. Computing factors of safety against wind-induced tree stem damage. J. Exp. Bot. 51 345 (2000) 797-806
10. Niklas K., and Spatz H.-C. Wind-induced stresses in cherry trees: evidence against the hypothesis of constant stress levels. Trees-Struct. Funct. 14 4 (2000) 230-237
11. Prusinkiewicz, P., 1996. A Look at the Visual Modeling of Plants Using L-Systems. Lecture Notes In Computer Science, vol. 1278. Springer, Berlin, pp.11-29.
12. Rodríguez-Iturbe I., and Rinaldo A. Fractal River Basins: Chance and Self-Organization (1997), Cambridge University Press, Cambridge
13. Spatz H.-C., and Bruechert F. Basic biomechanics of self-supporting plants: wind loads and gravitional loads on a Norway spruce tree. Forest Ecol. Manage. 135 (2000) 33-44