Abstract
All structures, whether engineered or natural, must obey the same physical laws and processes. Trees are particularly susceptible to these laws and processes because they are structures, composed mostly of wood, that begin and end their lives in the same location, which can experience dramatic changes in abiotic and biotic conditions (e.g., rainfall and epiphyte loads, respectively). The biomechanical behavior of trees is reviewed by presenting and discussing a few equations, with a particular emphasis on the effects of wind on branches, trunks, and roots. Limited space precludes a detailed review of these equations. Therefore, some basic references are listed to provide the necessary details. An important point is that unlike engineered objects and the engineering theory that deals with them, trees are growing biological entities that violate many of the assumptions of engineering theory. Consequently, the equations presented here provide only a first order approximation of how trees will respond to static (self) and dynamic (wind) loadings. Understanding the limits of these equations, therefore, is a critical first lesson in dealing with the biomechanical behavior of trees, regardless of whether they grow in tropical, temperate, or desert conditions. In the final analysis, every tree will ultimately fail. The challenge is to anticipate when and how.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Biblibography
Baillie IC, Mamit JD (1983) Observations on rooting in mixed dipterocarp forest, central Sarawak. Malays For 46:369–374
Baker HG (1973) A structural model of the forces in buttressed tropical rain forest trees (Appendix to Henwood 1973). Biotropica 5:89–93
Black HL, Harper KT (1979) The adaptive value of buttresses to tropical trees: additional hypothesis. Biotropica 11:240
Boom BM, Mori SA (1982) Falsification of two hypotheses on liana exclusion from tropical trees possessing buttresses and smooth bark. Bull Torrey Bot Club 4:447–450
Braam J, Davies RW (1990) Rain-, wind-, and touch-induced expression of calmodulin and calmodulin-related genes in Arabidopsis. Cell 60:357–364
Casada JH, Walton LR, Swetnam LD (1980) Wind resistance of Burely tobacco as influenced by depth of plants in soil. Trans Am Soc Agric Eng 23:1009–1011
Chapotin SM, Razanameharizaka JH, Holbrook NM (2006) A mechanical perspective on the role of large stem volume and high water content in baobab trees (Adansonia spp.; Bombacaceae). Am J Bot 93:1251–1264
Corner EJ (1988) Wayside trees of Malaya. Malaysian Nature Society, Malaysia
Coutts MP (1983) Root architecture and tree stability. Plant Soil 71:171–188
Coutts MP (1986) Components of tree stability in Sitka spruce on peaty gley soil. Forestry 59:171–197
Crook MJ, Ennos AR (1996) The anchorage mechanics of mature larch Larix europea x L. japonica. J Exp Bot 47:1507–1517
Crook MJ, Ennos A, Banks JR (1997) The function of buttress roots: a comparative study of the anchorage systems of buttressed (Aglai and Nephileum ramboutan species) and non-buttressed (Mallotus wrayi) tropical trees. J Exp Bot 48:1703–1716
Edelin C, Atger C (1994) Stem and root tree architecture: questions for plant biomechanics. Biomimetics 2:253–266
Ennos AR (1993) The scaling of root anchorage. J Theor Biol 161:61–75
Ennos AR (1994) The biomechanics of root anchorage. Biomimetics 2:129–137
Francis WD (1924) The development of buttresses in Queensland trees. Proc R Soc Queensland 36:21–37
Henwood K (1973) A structural model of forces in buttressed tropical rain forest trees. Biotropica 5:83–89
Holmes JD (2001) Wind loading of structures. Spon Press, London-England
Jacobs MR (1954) The effect of wind sway on the form and development of Pinus radiate D. Don Aust J Bot 2:35–51
Jaffe MJ (1973) Thigmomorphogenesis: The response of plant growth and development to mechanical stimulation. Planta 114:588–594
James KR (2003) Dynamic loading of trees. J Arboric 29:165–171
James KR, Haritos N, Ades P (2006) Mechanical stability of trees under dynamic loads. Am J Bot 93:1361–1369
Jenik J (1978) Roots and root systems in tropical trees: morphological and ecological aspects. In: Tomlinson PB, Simmerman MH (eds) Tropical trees as living systems. Cambridge University Press, Massachusetts, pp 323–348
Jonsson MJ, Froetzi A, Kalberer M, Lundström T, Ammann W, Stöckli V (2007) Natural frequencies and damping ratios of Norway spruce (Picea abies [L.] Karst) growing on subalpine forested slopes. Trees 21:541–548
Knight TA (1811) On the causes which influence the direction of the growth of roots. Philos Trans R Soc Lond 1811:209–219
Lewis AR (1988) Buttress arrangement in Pterocarpus officinalis (Fabaceae): effects of crown asymmetry and wind. Biotropica 20:280–285
Marshall TJ, Holmes JW (1988) Soil physics, 2nd edn. Cambridge University Press, Cambridge-England
Mattheck C (1991) Trees: the mechanical design. Springer Verlag
Mattheck C (1993) Design in der Natur. Der Baum als Lehrmeister. Rombach Verlag, Freiburg
Mayhead GJ (1973) Sway periods of forest trees. Scott For 27:19–23
Milne R (1991) Dynamics of swaying of Picea sitchensis. Tree Physiol 9:383–399
Moore JR, Maguire DA (2004) Natural sway frequencies and damping ratios of trees: concepts, review and synthesis of previous studies. Trees 18:195–203
Niklas KJ (1992) Plant biomechanics. University of Chicago Press, Chicago-II
Niklas KJ (1999) Variation of the mechanical properties of Acer saccharum roots. J Exp Bot 50:193–200
Niklas KJ, Spatz H-C (2000) Wind-induced stresses in cherry trees: evidence against the hypothesis of constant stress levels. Trees 14:230–237
Niklas KJ, Spatz H-C (2010) Worldwide correlations of mechanical properties and green wood density. Am J Bot 97:1587–1594
Niklas KJ, Spatz H-C (2012) Plant physics. University of Chicago Press, Chicago-II
Peltola H, Kellomöki S, Hassinen A, Lemittinnen M, Aho J (1993) Swaying of trees as caused by wind: analysis of field measurements. Silva Fenn 27:113–126
Richards PW (1952) The tropical rain forest. Cambridge University Press, Cambridge
Richter W (1984) A structural approach to the function of buttresses of Quaranbea asterolepis. Ecology 65:1429–1435
Rodriguez M, E. de Langre, Moulia B (2008). A scaling law for the effects of architecture and allometry on tree vibration modes suggests a biological tuning to modal compartmentaliza- tion. Am J Bot 95:1523–37
Senn G (1923) Uber die Ursachen der Brettwurzelbilding bei der Pyramiden-Pappel. Verhandlungen des Naturforschenden Gesellschaft in Basel 35:405–435
Smith AP (1972) Buttressing of tropical trees: a descriptive model and new hypothesis. Am Nat 106:32–46
Spatz H-C, Niklas KJ (2013) Modes of failure in tubular plant organs. Am J Bot 100:332–336
Spatz H-C, Brüchert F, Pfisterer J (2007) Multiple resonance damping or how do trees escape dangerously large oscillations? Am J Bot 94:1603–1611
Stokes A, Mattheck C (1996) Variation of wood strength in tree roots. J Exp Bot 47:693–699
Stokes A, Fitter AH, Coutts MP (1995) Responses of young trees to wind and shading: effects on root architecture. J Exp Bot 46:1139–1146
Stokes A, Ball J, Fitter AH, Brian P, Coutts MP (1996) An experimental investigation of the resistance of model root systems to uprooting. Ann Bot 78:415–421
Telewski FW (2006) A unified hypothesis of mechanoperception in plants. Am J Bot 93:1466–1476
Vogel S (1981) Life in moving fluids: the physical biology of flow. Willard Grant, Boston-MA
Vogel S (1996) Blowing in the wind: storm-resisting features of the design of trees. J Arbor 22:92–98
Warren SD, Black HL, Eastmond DA, Wtaaley WH (1988) Structural function of buttresses of Tachigalia versicolor. Ecology 62:532–536
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Niklas, K.J. (2016). Tree Biomechanics with Special Reference to Tropical Trees. In: Goldstein, G., Santiago, L. (eds) Tropical Tree Physiology. Tree Physiology, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-319-27422-5_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-27422-5_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-27420-1
Online ISBN: 978-3-319-27422-5
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)