Abstract
As trees grow larger and older they show characteristic changes in their proportions and growth rates. This paper explores the hypothesis that mechanical support costs of growing trees contributes to tree height limitation and general growth decline in aging trees. The chapter reviews scaling hypotheses, including geometric similarity, elastic similarity, stress similarity, and the pipe model, as well as the patterns in tree allometry that have been reported. It then uses the remarkable published record of diameter, volume and height growth, deriving from stem analysis, of one 437-year-old, 83-m-tall noble fir (Abies procera) to evaluate the degree to which different scaling models apply at different stages in that tree’s life. The analysis suggests that the overall pattern of height growth could be related to tree allometry and wood production rates, but that the tree showed substantial decadal variation around the general patterns. The chapter suggests that many more studies are needed to characterize individual trees, either with known environments or after manipulations that alter allometry, and in different ecosystems beyond the Pacific Northwest and California. Such data will enable scientists to analyze the degree to which these allometric models pertain in different plant types and at different life stages, and will give insight into the role of mechanical and hydraulic support in the limitation of tree growth and productivity.
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References
Aide TM (1987) Limbfalls: a major cause of sapling mortality for tropical forest plants. Biotropica 19:284–285
Alexander RR, Tackle D, Dahms WG (1967) Site indexes for lodgepole pine, with corrections for stand density: methodology. USDA Forest Service Research Paper RM – 29. Rocky Mountain Forest and Range Experiment Station, Fort Collins
Anton NPR, Schieving F (2010) The role of wood mass density and mechanical constraints in the economy of tree architecture. Am Nat 175:250–260
Beck DE, Della-Bianca L (1970) Yield of unthinned yellow-poplar. USDA Forest Service Research Paper SE-58. Southeast Forest Experiment Station, Ashville
Bertram JEA (1989) Size-dependent differential scaling in branches: the mechanical design of trees revisited. Trees 4:241–253
Binkley D, Stape JL, Ryan MG, Barnard HR, Fownes JH (2002) Age-related decline in forest ecosystem growth: an individual-tree, stand-structure hypothesis. Ecosyst 5:58–67
Bohannan B (1966) Effects of size on bending strength of wood members. U.S. Forest Service Research Paper FPL 56. USDA Forest Service, Forest Products Laboratory, Madison
Bond BJ, Czarnomski C, Cooper C, Day ME, Greenwood MS (2007) Developmental decline in height growth in Douglas-fir. Tree Physiol 27:441–453
Bormann FH (1965) Changes in the growth patterns of white pine trees undergoing suppression. Ecol 46:269–277
Brienen RJW, Zuidema PA (2005) Relating tree growth to rainfall in Bolivian rain forests: a test for six species using tree ring analysis. Oecologia 146:1–12
Büsgen M, Münch E (1929) The structure and life of forest trees, 3rd edn (trans: Thomson T). Chapman & Hall Ltd., London
Clark DA, Clark DB (2001) Getting to the canopy: tree height growth in a Neotropical rain forest. Ecol 82:1460–1472
Condit R, Ashton PS, Manokaran N, LaFrankie JV, Hubbell SP, Foster RB (1999) Dynamics of the forest communities at Pasoh and Barro Colorado: comparing two 50-ha plots. Philos Trans R Soc Lond B 334:1739–1748
Coutand C, Moulia B (2000) Biomechanical study of the effect of a controlled bending on tomato stem elongation: local strain sensing and spatial integration of the signal. J Exp Bot 51:1825–1842
Coutand C, Martin L, Leblanc-Fournier N, Decourteix M, Julien J-L, Moulia B (2009) Strain mechanosensing quantitatively controls diameter growth and PtaZFP2 gene expression in poplar. Plant Physiol 151:223–232
Curtis RO, Herman FR, DeMars DJ (1974) Height growth and site index for Douglas-fir in high-elevation forests of the Oregon-Washington Cascades. For Sci 20:307–316
Curtis RO, Clendenen GW, Reukema DL, DeMars DJ (1982) Yield tables for managed stands of coast Douglas-fir. Gen. Tech. Rep. PNW-135. US Dept. of Agriculture Forest Service, Portland
Day ME, Greenwood MS (2011) Regulation of ontogeny in temperate conifers. In: Meinzer FC, Lachenbruch B, Dawson TE (eds.) Size- and age-related changes in tree structure and function. Springer, Dordrecht, pp 91–119
Domec J-C, Lachenbruch B, Meinzer FC, Woodruff DR, Warren JM, McCulloh KA (2008) Maximum height in a conifer is associated with conflicting requirements for xylem design. Proc Natl Acad Sci USA 105:12069–12074
Ek AR (1974) Dimensional relationships of forest and open grown trees in Wisconsin. University of Wisconsin School of Natural Resources Forestry Research Note 181
Falster DS, Westoby M (2003) Plant height and evolutionary games. Trends Ecol Evol 18:337–343
Farnsworth KD, Niklas KJ (1995) Theories of optimization, form and function in branching architecture of plants. Funct Ecol 9:355–363
Fichtler E, Clark DA, Worbes M (2003) Age and long-term growth in an old-growth tropical rain forest, based on analyses of tree rings and 14C. Biotropica 35:306–317
Flewelling J, Collier R, Bonyea B, Marshall D, Turnblom E (2001) Height-age curves for planted stands of Douglas-fir, with adjustments for density. Stand management Cooperative Working Paper Number 1. College of Forest Resources, Univ. Seattle, 34 p
Frelich LE, Reich PB (1996) Old growth in the Great Lakes region. In: Davis MB (ed.) Eastern old-growth forests: prospects for rediscovery and recovery. Island Press, Washington, DC, pp 144–160
Fujimori T (1977) Stem biomass and structure of a mature Sequoia sempervirens stand on the Pacific Coast of northern California. J Jpn For Soc 59:435–441
Givnish TJ (1995) Plant stems: biomechanical adaptation for energy capture and influence on species distributions. In: Gartner BL (ed.) Plant stems: physiology and functional morphology. Academic, San Diego, pp 3–49
Greene DF, Jones KF, Proulx OJ (2007) The effects of icing events on the death and regeneration of North American trees. In: Johnson EA, Miyanishi K (eds.) Plant disturbance ecology. Elsevier, Amsterdam, pp 181–213
Greenhill AG (1881) Determination of the greatest height consistent with stability that a vertical pole or mast can be made, and the greatest height to which a tree of given proportions can grow. Proc Cambridge Philos Soc 4:65–73
Herman FR, Curtis RO DeMars DJ (1978) Height growth and site index estimates for noble fir in high-elevation forests of the Oregon-Washington Cascades. USDA Forest Service Research Paper PNW-243, Pacific Northwest Forest and Range Experimental Station, Portland
Herman FR, DeMars DJ, Woollard RF (1975) Field and computer techniques for stem analysis of coniferous forest trees. USDA Forest Service Research Paper PNW-194. Pacific Northwest Forest and Range Experiment Station, Portland
Holbrook NM, Putz FE (1989) Influence of neighbors on tree form: effects of lateral shade and prevention of sway on the allometry of Liquidambar styraciflua (sweet gum). Am J Bot 76:1740–1749
Ickes K, DeWalt SJ, Thomas SC (2003) Resprouting of woody saplings following stem snap by wild pigs in a Malaysian rain forest. J Ecol 91:222–233
Ishii H (2011) How do changes in leaf/shoot morphology and crown architecture affect growth and physiological function of tall trees? In: Meinzer FC, Lachenbruch B, Dawson TE (eds.) Size- and age-related changes in tree structure and function. Springer, Dordrecht, pp 215–232
Ishii H, Reynolds JH, Ford ED, Shaw DC (2000) Height growth and vertical development of an old-growth Pseudotsuga-Tsuga forest in southwestern Washington State, USA. Can J For Res 30:17–24
Jacobs MR (1954) The effect of wind sway on the form and development of Pinus radiata D. Don. Aust J Bot 2:35–51
King D (1981) Tree dimensions: maximizing the rate of height growth in dense stands. Oecologia 51:351–356
King DA (1986) Tree form, height growth, and susceptibility to wind damage in Acer saccharum. Ecology 67:980–990
King DA (1987) Load bearing capacity of understory treelets of a tropical wet forest. Bull Torrey Bot Club 114:419–428
King DA (1990) The adaptive significance of tree height. Am Nat 135:809–828
King DA (1991) Tree allometry, leaf size and adult tree size in old-growth forests of western Oregon. Tree Physiol 9:369–381
King DA (1996) Allometry and life history of tropical trees. J Trop Ecol 12:25–44
King DA (1997) Branch growth and biomass allocation in Abies amabilis saplings in contrasting light environments. Tree Physiol 17:251–258
King DA (2005) Linking tree form, allocation and growth with an allometrically explicit model. Ecol Model 185:77–91
King DA, Davies SJ, Tan S, Nur Supardi MN (2006) The role of wood density and stem support costs in the growth and mortality of tropical trees. J Ecol 94:670–680
King DA, Davies SJ, Tan S, Nur Supardi MN (2009) Trees approach gravitational limits to height in tall lowland forests of Malaysia. Funct Ecol 23:284–291
Kira T (1978) Community architecture and organic matter dynamics in tropical lowland rain forests of Southeast Asia with special reference to Pasoh Forest, West Malaysia. In: Tomlinson PB, Zimmermann MH (eds.) Tropical trees as living systems. Cambridge University Press, Cambridge, pp 561–590
Koch GW, Sillett SC, Jennings GM, Davis SD (2004) The limits to tree height. Nature 428:851–854
Kohyama T (1980) Growth pattern of Abies mariesii saplings under conditions of open-growth and suppression. Bot Mag Tokyo 93:13–24
Kozlowski TT (1971) Growth and development of trees, vol II. Academic, New York
Lachenbruch B, Moore JR, Evans R (2011) Radial variation in wood structure and function in woody plants, and hypotheses for its occurrence. In: Meinzer FC, Lachenbruch B, Dawson TE (eds.) Size- and age-related changes in tree structure and function. Springer, Dordrecht, pp 121–164
Lawton RO (1982) Wind stress and elfin stature in a montane rain forest tree: an adaptive explanation. Am J Bot 69:1224–1230
Leiser AT, Kemper JT (1973) Analysis of stress distribution in the sapling tree trunk. J Am Soc Hort Sci 98:164–170
Long JN, Smith FW, Scott DRM (1981) The role of Douglas fir stem sapwood and heartwood in the mechanical and physiological support of crowns and development of stem form. Can J For Res 11:459–464
Maguire DA, Hann DW (1989) The relationship between gross crown dimensions and sapwood area at crown base in Douglas-fir. Can J For Res 29:557–565
Mäkelä A (2002) Derivation of stem taper from the pipe theory in a carbon balance framework. Tree Physiol 22:891–905
Mäkelä A, Valentine HT (2006) Crown ratio influences allometric scaling in trees. Ecology 87:2967–2972
Martinez-Vilalta J, Vanderklein D, Mencuccini M (2007) Tree height and age-related decline in growth in Scots pine (Pinus sylvestris L.). Oecologia 150:529–544
Mattheck C (1998) Design in nature: learning from trees. Springer, Berlin
Mattheck C, Kubler H (1995) Wood – the internal optimization of trees. Springer, Berlin
McDowell NG, Bond BJ, Hill LT, Ryan MG, Whitehead D (2011) Relationships between tree height and carbon isotope discrimination. In: Meinzer FC, Lachenbruch B, Dawson TE (eds.) Size- and age-related changes in tree structure and function. Springer, Dordrecht, pp 255–286
McMahon TA (1973) Size and shape in biology. Science 179:1201–1204
McMahon TA (1975) The mechanical design of trees. Sci Am 233:92–102
McMahon TA, Kronauer RE (1976) Tree structures: deducing the principle of mechanical design. J Theor Biol 59:443–466
Mencuccini M, Martinez-Vilalta J, Vanderklein D, Hamid HA, Korakaki E, Lee S, Michiels B (2005) Size-mediated aging reduces vigor in tall trees. Ecol Lett 8:1183–1190
Mencuccini M, Höltä T, Martinez-Vilalta J (2011) Comparative criteria for models of the vascular transport systems of tall trees. In: Meinzer FC, Lachenbruch B, Dawson TE (eds.) Size- and age-related changes in tree structure and function. Springer, Dordrecht, pp 309–339
Monserud RA (1984) Problems with site index: an opinionated review. In: Bockheim J (ed.) Forest Land Classification: Experiences, Problems, Perspectives. Symposium Proceedings, University of Wisconsin, Dept. of Soil Science, Madison, pp 167–180
Monserud RA (1985) Comparison of Douglas-fir site index and height growth curves in the Pacific Northwest. Can J For Res 15:673–679
Monserud RA (2003) Modeling stand growth and development. In: Monserud RA, Haynes RW, Johnson AC (eds.) Compatible forest management. Kluwer, Dordrecht, pp 145–173
Morgan J, Cannell MGR (1994) Shape of tree stems – a re-examination of the uniform stress hypothesis. Tree Physiol 14:49–62
Niklas KJ (1993) Influence of tissue-density-specific mechanical properties on the scaling of plant height. Ann Bot 72:165–172
Niklas KJ (1994) Interspecific allometries of critical buckling height and actual plant height. Am J Bot 8:1275–1279
Niklas KJ, Spatz H-C (2000) Wind induced stresses in cherry trees: evidence against the hypothesis of constant stress levels. Trees 14:230–237
Ossenbruggen PJ, Peters MA, Shigo AL (1986) Potential failure of a decayed tree under wind loading. Wood Fiber Sci 18:168–185
Osunkoya OO, Omar-Ali K, Amit N, Dayan J, Daud DS, Sheng TK (2007) Comparative height–crown allometry and mechanical design in 22 tree species of Kuala Belalong rainforest, Brunei, Borneo. Am J Bot 94:1951–1962
Poorter L, Bongers L, Bongers F (2006) Architecture of 54 moist-forest tree species: traits, tradeoffs, and functional groups. Ecology 87:1289–1301
Pruyn ML, Gartner BL, Harmon ME (2002) Respiratory potential in sapwood of old versus young ponderosa pine trees in the Pacific Northwest. Tree Physiol 22:105–116
Pruyn ML, Gartner BL, Harmon ME (2005) Storage versus substrate limitation to bole respiratory potential in two coniferous tree species of contrasting sapwood width. J Exp Bot 56:2637–2649
Putz FE, Coley PD, Lu K, Montalvo A, Aiello A (1983) Uprooting and snapping of trees: structural determinants and ecological consequences. Can J For Res 13:1011–1020
Quine CP, Gardiner BA (2007) Understanding how the interaction of wind and trees result in wind-throw, stem breakage, and canopy gap formation. In: Johnson EA, Miyanishi K (eds.) Plant disturbance ecology. Elsevier, Amsterdam, pp 103–155
Rich PM (1987a) Developmental anatomy of the stem of Welfia georgii, Iriartea gigantea, and other arborescent palms: implications for mechanical support. Am J Bot 74:792–802
Rich PM (1987b) Mechanical structure of the stem of arborescent palms. Bot Gaz 148:42–50
Rich PM, Helenurm K, Kearns D, Morse SR, Palmer MW, Short L (1986) Height and stem diameter relationships for dicotyledonous trees and arborescent palms of Costa Rican tropical wet forest. Bull Torrey Bot Club 113:241–246
Rich PM, Holbrook NM, Luttinger N (1995) Leaf development and crown geometry of two Iriartoid palms. Am J Bot 82:328–336
Richards PW (1996) The tropical rain forest: an ecological study, 2nd edn. Cambridge University Press, Cambridge
Ryan MG, Waring RH (1992) Maintenance respiration and stand development in a subalpine lodgepole pine forest. Ecology 73:2100–2108
Ryan MG, Yoder BJ (1997) Hydraulic limits to tree height and tree growth. Bioscience 47:235–242
Ryan MG, Binkley D, Fownes JH (1997) Age-related decline in forest productivity: pattern and process. Adv Ecol Res 27:213–262
Ryan MG, Phillips N, Bond BJ (2006) The hydraulic limitation hypothesis revisited. Plant Cell Environ 29:367–381
Sala A, Fouts W, Hoch G (2011) Carbon storage in trees: does relative carbon supply decrease with tree size? In: Meinzer FC, Lachenbruch B, Dawson TE (eds.) Size- and age-related changes in tree structure and function. Springer, Dordrecht, pp 287–306
Shinozaki K, Yoda K, Hozumi K, Kira T (1964) A quantitative analysis of plant form: the pipe model theory. I. Basic analyses. Jpn J Ecol 14:97–105
Shugart HH (1984) A theory of forest dynamics: the ecological implications of forest succession models. Springer, New York
Sillett SC, Van Pelt R, Cook GW, Ambrose AR, Carroll AL, Antoine ME, Mifsud BM (2010) Increasing wood production through old age in tall trees. For Ecol Manag 259:976–994
Sjolte-Jorgensen J (1967) The influence of spacing on the growth and development of coniferous plantations. Internatl Rev For Res 2:43–94
Spurr SH, Barnes BV (1980) Forest ecology, 3rd edn. Wiley, New York
Steppe K, Niinemets U, Teskey RO (2011) Tree size- and age-related changes in leaf physiology and their influence on carbon gain. In: Meinzer FC, Lachenbruch B, Dawson TE (eds.) Size- and age-related changes in tree structure and function. Springer, Dordrecht, pp 235–253
Sterck FJ, Bongers F (1998) Ontogenetic changes in size, allometry, and mechanical design of tropical rain forest trees. Am J Bot 85:266–272
Sterck FJ, van Gelder HA, Poorter L (2006) Mechanical branch constraints contribute to life-history variation across tree species in a Bolivian forest. J Ecol 94:1192–1200
Sumida A, Ito H, Isagi Y (1997) Trade-off between height growth and stem diameter growth for an evergreen Oak, Quercus glauca, in a mixed hardwood forest. Funct Ecol 11:300–309
Thomas SC (1996) Asymptotic height as a predictor of growth and allometric characteristics in Malaysian rain forest trees. Am J Bot 83:556–566
Thomas SC (2011) Age-related changes in tree growth and functional biology: the role of reproduction. In: Meinzer FC, Lachenbruch B, Dawson TE (eds.) Size- and age-related changes in tree structure and function. Springer, Dordrecht, pp 33–64
Tomlinson PB (1990) The structural biology of palms. Clarendon, Oxford
Tyree MT, Zimmermann MH (2002) Xylem structure and the ascent of sap. Springer, Berlin
USDA Forest Products Laboratory (1999) Wood handbook: wood as an engineering material. Gen. Tech. Rep. FPL-GTR-113. USDA Forest Service, Forest Products Laboratory, Madison
van Gelder HA, Poorter L, Sterck FJ (2006) Wood mechanics, allometry, and life history variation in a tropical tree community. New Phytol 171:367–378
Van Pelt R (2001) Forest giants of the Pacific Coast. Global Forest Society, Vancouver
Van Pelt R, Nadkarni NM (2004) Development of canopy structure in Pseudotsuga menziesii forests in the Southern Washington Cascades. For Sci 50:326–341
Van Pelt R, Sillett SC (2008) Crown development of coastal Pseudotsuga menziesii, including a conceptual model for tall conifers. Ecol Monogr 78:283–311
Vogel S (1984) Drag and flexibility in sessile organisms. Am Zool 24:37–44
Vogel S (1989) Drag and reconfiguration of broad leaves in high winds. J Exp Bot 40:941–948
Waterhouse JT, Quinn FLS, Quinn CJ (1978) Growth patterns in the stem of the palm Archontophoenix cunninghamiana. Bot J Lin Soc 77:73–93
Wiemann MC, Williamson GB (1989) Radial gradients in the specific gravity of wood in some tropical and temperate trees. For Sci 35:197–210
Wilson BF, Archer RR (1979) Tree design: some biological solutions to mechanical problems. Bioscience 29:293–298
Winter LE, Brubaker LB, Franklin JF, Miller EA, DeWitt DQ (2002) Initiation of an old-growth Douglas-fir stand in the Pacific Northwest: a reconstruction from tree-ring records. Can J For Res 32:1039–1056
Woodruff DR, Meinzer FC (2011) Size-dependent changes in biophysical control of tree growth: the role of turgor. In: Meinzer FC, Lachenbruch B, Dawson TE (eds.) Size- and age-related changes in tree structure and function. Springer, Dordrecht, pp 363–384
Woodruff DR, Bond BJ, Meinzer FC (2004) Does turgor limit growth in tall trees? Plant Cell Environ 27:229–236
Zobel BJ, van Buijtenen JP (1989) Wood variation: its causes and control. Springer, Berlin
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I thank Robert Monserud and an anonymous reviewer for helpful comments on the manuscript.
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King, D.A. (2011). Size-Related Changes in Tree Proportions and Their Potential Influence on the Course of Height Growth. In: Meinzer, F., Lachenbruch, B., Dawson, T. (eds) Size- and Age-Related Changes in Tree Structure and Function. Tree Physiology, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1242-3_6
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