The biomechanical formation of trees

• Autorzy: Jelonek Tomasz , Tomczak Arkadiusz , Karaszewski Zbigniew , Jakubowski Marcin , Arasimowicz-Jelonek Magdalena , Grzywiński Witold , Kopaczyk Joanna , Klimek Katarzyna

Identyfikatory

DOI

10.12841/wood.1644-3985.318.05

• Języki publikacji: EN

Abstrakty

EN

Tree biomechanics and biomechanical tree stability are research problems that have been discussed in world literature for many years. The biomechanical profile formation in trees is an extremely complicated problem and has not been fully clarified to date. It is influenced by many factors, which determine tree growth, tree development, multifunctionality of organs, and anatomical elements in xylem. The phenomenon is further affected by the overlapping of functions and development of numerous interactions between all the systems found in living trees. This paper presents a synthetic description of selected research results, providing insight into the mechanical functioning of trees, from initial theories of mechanical tree formation to the influence of dynamic load on tree stability. Trees are a biological structure that shows high adaptability to external conditions. Thus, the response to a specific environmental stressor, including abiotic and biotic factors, should be considered. Analyses of the biomechanical system in plants need to be considered in a broader context than a selected single load. Due to the complexity of these phenomena and numerous interactions, we need more multidisciplinary research to explain biomechanical mechanism of tree development.

Słowa kluczowe

EN

tree biomechanics; tree stability; physiological system; mechanical system; biomechanical model; tree formation; wind and trees

• Wydawca: Sieć Badawcza Łukasiewicz - Poznański Instytut Technologiczny
• Czasopismo: Drewno : prace naukowe, doniesienia, komunikaty
• Rocznik: 2019
• Tom: vol. 62, nr 204
• Strony: 5--22
• Opis fizyczny: Bibliogr. 98 poz., rys.

Twórcy

autor

Jelonek Tomasz

• Poznan University of Life Sciences, Faculty of Forestry, Poznań, Poland

autor

Tomczak Arkadiusz

• Poznan University of Life Sciences, Faculty of Forestry, Poznań, Poland

autor

Karaszewski Zbigniew

• Wood Technology Institute, Poznań, Poland

autor

Jakubowski Marcin

• Poznan University of Life Sciences, Faculty of Forestry, Poznań, Poland

autor

Arasimowicz-Jelonek Magdalena

• Adam Mickiewicz University of Poznan, Department of Plant Ecophysiology, Poznań, Poland

autor

Grzywiński Witold

• Poznan University of Life Sciences, Faculty of Forestry, Poznań, Poland

autor

Kopaczyk Joanna

• Poznan University of Life Sciences, Faculty of Forestry, Poznań, Poland

autor

Klimek Katarzyna

• Poznan University of Life Sciences, Faculty of Forestry, Poznań, Poland

Bibliografia

• Allona I., Quinn M., Shoop E., Swope K., St. Cyr S., Carlis J., Riedl J., Retzel E., Campbell M., Sederoff R., Whetten W.R. [1998]: Analysis of xylem formation in pine by cDNA sequencing. Proceedings of the National Academy of Sciences 95: 9693-9698
• Almeras T., Fournier M. [2009]: Biomechanical design and long-term stability of trees: Morphological and wood traits involved in the balance between weight increase and the gravitropic reaction. Journal of Theoretical Biology 256 [3]: 370-381. DOI: 10.1016/j.jtbi.2008.10.011
• Anfodillo T., Carraro V., Carrer M., Fior C., Rossi S. [2006]: Convergent tapering of xylem conduits in different woody species. New Phytology 169: 279-290. DOI: 10.1111/j.1469-8137.2005.01587.x
• Atkins A.G., Mai Y.W. [1985]: Elastic and plastic fracture: metals, polymers, ceramics, composites, biological materials. Ellis Horwood, Chichester, UK.
• Baker C.J. [1995]: The development of a theoretical model for the wind throw of plants. Journal of Theoretical Biology 175 [3]: 355-372. DOI: 10.1006/jtbi.1995.0147
• Barnett J.R., Jeronimidis G. [2003]: Wood quality and its biological basis. Blackwell, Oxford, UK.
• Bruchert F., Gardiner B. [2006]. The effect of wind exposure on the tree aerial architecture and biomechanics of Sitka spruce (Picea sitchensis, Pinaceae). American Journal Botany 93 [10]: 1512-1521. DOI: 10.3732/ajb.93.10.1512
• Coutts M.P. [1986]: Components of tree stability in Sitka spruce on peaty gley soil. Forestry 59: 173-197. DOI: 10.1093/forestry/59.2.173
• Cucchi V., Bert D. [2003]: Wind firmness of Pinus pinaster Ait. stands in Southwest France: Influence of stand density, fertilization and breeding in two experimental stands damaged during the 1999 storm. Annals of Forest Science 60: 209-226. DOI: 10.1051/forest:2003013
• De Langre E. [2008]: Effects of wind on plants. Annual Review of Fluid Mechanics 40: 141-168. DOI: 10.1146/annurev.fluid.40.111406.102135
• England A.H., Baker C. J., Saunderson S.E.T. [2000]: A dynamic analysis of windthrow of trees. Forestry 73 [3]: 225-238. DOI: 10.1093/forestry/73.3.225
• Ennos A.R. [1997]: Wind as an ecological factor trends. Ecology and Evolution 12 [3]: 108-11
• Fabijanowski J. [1961]: Kilka uwag o badaniach dotyczących rasy sosny zwyczajnej w Polsce oraz o sośnie mazurskiej (Remarks on studies concerning Scots pine in Poland and on Masurian pine). Sylwan 105 [4]: 21-27
• Fabisiak E. [2005]: Variation of basic anatomical elements and wood density in selected tree species. Roczniki Akademii Rolniczej w Poznaniu. Rozprawy Naukowe 369: 1-176
• Fournier-Djimbi M., Chanson B. [1999]: Biomechanics of trees and wood for hazardous tree assessment: Acta Horticulturae 496: 197-208. DOI: 10.17660/ActaHortic.1999.496.25
• Fujimoto T., Akutsu H., Nei M., Kita K., Kuromaru M., Oda K. [2006]: Genetic variation in wood stiffness and strength properties of hybrid larch (Larix gmelinii var. japonica × L. kaempferi). Journal Forest Research 11: 343-349. DOI: 10.1007/s10310-006-0221-z
• Gardiner B.A. [1992]: Mathematical modelling of the static and dynamic characteristics of plantation trees. In: Mathematical Modelling of Forest Ecosystems. J. Franke and A. Rueder (eds.). J.D. Sauerlander's Verlag, Frankfurt, Germany, pp. 40-61
• Givnish. T.J. [1986]: Biomechanical constraints on crown geometry in forest herbs. In: On the economy of plant form and function. T. J. Givnish (ed.). Cambridge University Press, Cambridge, UK, pp. 525-583
• Greenhill G. [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. Cambridge Philosophical Society 4: 65-73
• Gril J., Laghdir A., Jullien D. [1997]: Modelling growth stress related problems in tree logs: Relationship between heart crack in disks and logs. In: Biomechanics Conference Proceedings. Sep 1997 2nd International conference on plant biomechanics. At Reading, U.K., pp. 43-55
• Guitard D.G.E., Castera P. [1995]: Experimental analysis and mechanical modelling of wind-induced tree sways. In: Wind and trees. M.P. Coutts and J. Grace (eds.), Cambridge University Press, Cambridge, UK, pp. 182-194
• Hale S.E., Levy P.E., Gardiner B.A. [2004]: Trade-offs between seedling growth, thinning and stand stability in Sitka spruce stands: A modelling analysis. Forest Ecology and Management 187: 105-115. DOI: 10.1016/S0378-1127(03)00313-X
• James K., Haritos N., Ades P.K. [2006]: Mechanical stability of trees under dynamic loads. American Journal Botany 93(10): 1522-1530. DOI: 10.3732/ajb.93.10.1522
• Jansons A., Matisons R., Krisans O., Puriņa L., Dzēriņa B., Neimane U. [2014]: Height of the mass point and some properties of crown of 26 year old Scots pine and Lodgepole pine as potential parameters for wind damage in Zvirgzde. Latvia. Baltic Forestry 20 [1]: 48-57
• Jelonek T. [2013]: Biomechaniczna stabilność drzew a wybrane właściwości fizyczne, mechaniczne i strukturalne ksylemu sosny zwyczajnej (Pinus sylvestris L.) wyrosłej w warunkach gruntow porolnych i leśnych (Biomechanical stability of trees and selected physical, mechanical and structural properties of xylem in Scots pine (Pinus sylvestris L.) grown on former farmland and forest soils). Rozprawy Naukowe. Wydawnictwo Uniwersytetu Przyrodniczego w Poznaniu. pp. 146
• Jelonek T., Pazdrowski W., Arasimowicz M., Tomczak A., Walkowiak R., Szaban J. [2008]: The applicability of the pipe model theory in trees of Scots pine (Pinus sylvestris L.) of Poland. Journal of Forest Science 54 [11]: 519-531
• Jelonek T., Pazdrowski W., Tomczak A., Spława-Neyman S. [2009]: The effect of biological class and age on physical and mechanical properties of European larch (Larix deciduas Mill.) in Poland. Wood Research 54 [1]: 1-14
• Jelonek T., Tomczak A., Pazdrowski W., Remlein A. [2013]: Properties of wood tissue vs. stability of trees growing in pine wood stands exposed to the wind. Forestry Letters 105: 17-26
• Kellomaki S., Ikonen V.P., Peltola H., Kolstrom T. [1999]: Modeling the structural growth of Scots pine with implications for wood quality. Ecology Modelling 122 [1-2]: 117-134. DOI: 10.1016/S0304-3800(99)00086-1
• Kellomaki S., Peltola H. [1999]: Silvicultural strategies in forest management to optimise yield and growth in boreal forests while minimising the risks of wind and snow damage. Ecosystems and Sustainable Development 27: 285-303
• Kerzenmacher T., Gardiner B.A. [1998]: A mathematical model to describe the dynamic response of a spruce tree to the wind. Trees 12: 385-394. DOI: 10.1007/s004680050165
• Kim D. [2000]: Tree biomechanics series stem length and diameter taper limits. K.D. Coder (ed). The University of Georgia, Atlanta, 305 pp.
• King D.A. [1986]: Tree form, height growth, and susceptibility to wind damage in Acer saccharum. Ecology 67: 980-990. DOI: 10.2307/1939821
• Kumar S., Dungey H. S., Matheson A.C. [2006]: Genetic parameters and strategies for genetic improvement of stiffness in Radiata pine. Silvae Genetica 55 [2]: 77-83. DOI: 10.1515/sg-2006-0012
• Makinen H., Isomaki A. [2004]: Thinning intensity and growth of Scots pine stands in Finland: Forest Ecology and Management 201 [2-3]: 311-325. DOI:10.1016/j.foreco. 2004.07.016
• Mattheck C. [1990]: Why they grow, how they grow. The mechanics of trees. Arboricultural Journal 14: 1-17. DOI:10.1080/03071375.1990.9746820
• Mattheck C. [1991]: Trees. The mechanical design. Springer-Verlag, Berlin, Germany, pp. 121
• Mayer H. [1985]: Baumschwingungen und sturmgefahrdung des waldes. Munchen: Meteorologisches Institut, Universitat Munchen
• Mayer H. [1987]: Wind-induced tree sways. Trees 1: 195-206. DOI: 10.1007/BF01816816
• McCulloh K.M., Sperry J.S., Adler F.R. [2003]: Water transport in plants obeys Murray’s law. Nature 421: 939-942. DOI: 10.1038/nature01444
• McMahon T.A., Kronauer R.E. [1976]: Tree structures - Deducing the principle of mechanical design. Journal of Theoretical Biology 59: 443-446. DOI: 10.1016/0022-5193(76)90182-X
• Mensah S., Glele Kakai R., Seifert T. [2016]: Patterns of biomass allocation between foliage and woody structure. The effects of tree size and specific functional traits. Annals of Forest Research 59 [1]: 49-60. DOI: 10.15287/afr.2016.458
• Metzger K. [1893]: Der Wind als masgebender Faktor fur das Wachstum der Baume.[The wind as a determining factor for the growth of the trees] Mundener forstl Hefte 3. Heft, Verlag Julius Springer, Berlin, Germany.
• Milne R. [1991]: Dynamics of swaying of Picea sitchensis. Tree Physiology 9 [3]: 383-399. DOI: 10.1093/treephys/9.3.383
• Mitchell S.J. [2013]: Wind as a natural disturbance agent in forests. An integrative overview. Forestry 86: 147-157. DOI: 10.1093/forestry/cps058
• Moore J.R., MaguireD. A. [2004]: Natural swaying frequency and damping ratios of trees. Concepts, review, and synthesis of previous studies. Trees Structure and Function 18: 195-203. DOI: 10.1007/s00468-003-0295-6
• Moore J.R., MaguireD. A. [2005]: Natural swaying frequency and damping ratios of trees. Influence of the crown structure. Trees Structure and Function 19: 363-373. DOI: 10.1007/s00468-004-0387-y
• Morgan J., Cannell G.R. [1994]: Shape of tree stems. A reexamination of the uniform stress hypothesis. Tree Physiology 14 [1]: 49-62. DOI: 10.1093/treephys/14.1.49
• Niklas K.J. [1997]: The evolutionary biology of plants. University of Chicago Press, Chicago, IL, USA
• Niklas K.J. [1992]: Plant biomechanics. An Engineering Approach to Plant Form and Function. The University of Chicago Press, Chicago, IL, USA
• Niklas, K.J. [1994]: Plant allometry. The Scaling of Form and Process. The University of Chicago Press, Chicago, IL, USA
• Niklas K.J. [1999]: A mechanical perspective on foliage leaf form and function. New Phytology 143: 19-31. DOI: 10.1046/j.1469-8137.1999.00441.x
• Niklas K.J., Spatz H.C. [1999]: Methods for calculating factors of safety for plant stems. Journal of Experimental Biology 202: 3273-3280
• Niklas K.J., Spatz H.C., Vincent J. [2006]: Plant biomechanics. An overview and prospectus. American Journal of Botany 93 [10]: 1369-1378. DOI: 10.3732/ajb.93.10.1369
• Nykanen M.L., Peltola H., Quine C.P., Kellomaki S., Broadgate M. [1997] Factors affecting snow damage of trees with particular reference to European conditions. Silva Fennica 31 [2]: 193-213
• Pazdrowski W., Spława-Neyman S. [1993]: Studies on selected properties of wood in Scots pine (Pinus sylvestris L.) in view of social classes of tree position in the stand). Folia Forestalia Polonica, Forestry. Serie B 24: 133-145
• Pazdrowski W., Spława-Neyman S. [1996]: Macrostructure of Scots pine wood from unripe forest stands grown in conditions of dry forest. Folia Forestalia Polonica Forestry. Serie B 27: 58-62
• Pazdrowski W., Spława-Neyman S. [1997]: Macrostructure of Scots pine wood from unripe forest stands grown in conditions of fresh forest. Folia Forestalia Polonica Forestry. Serie B 28: 41-46
• Peltola H. [2006]: Mechanical stability of trees under static loads. American Journal of Botany 93(10): 1501-1511. DOI: 10.3732/ajb.93.10.1501
• Peltola H., Kellomaki S. [1993]:A mechanistic model for calculating windthrow and stem breakage of Scots pines at stand edge. Silva Fennica 27 [2]: 99-111
• Peltola H., Kellomaki S., Hassinen A., Lementtinen M., Aho J. [1993]: Swaying of trees caused by wind. Analysis of field measurements. Silva Fennica 27 [2]: 113-126
• Peltola H., Kellomaki S., Hassinen A., Granander M. [2000]: Mechanical stability of Scots pine, Norway spruce, and birch. An analysis of tree pulling experiments in Finland. Forest Ecology and Management 135: 143-153. DOI: 10.1016/S0378-1127(00)00306-6
• Peltola H., Nykanen M. L., Kellomaki S. [1997]: Model computations on the critical combination of snow loading and windspeed for snow damage of Scots pine, Norway spruce, and birch at stand edge. Forest Ecology Management 95: 229-241. DOI: 10.1016/S0378-1127(97)00037-6
• Persson B., Persson A., Stahl E.G., Karlmats U. [1995]: Wood quality of Pinus sylvestris progenies at various spacings. Forest Ecology Management 76: 127-138. DOI: 10.1016/0378-1127(95)03557-Q
• Petty J.A., Worrell R. [1981]: Stability of coniferous tree stems in relation to damage by snow. Forestry 54: 115-128. DOI: 10.1093/forestry/54.2.115
• Pilat K. [1928]: The effect of wind on stem diameter increment. Sylwan 46 [4]: 364-379
• Plomion C., Leprovost G., Stokes A. [2001]: Wood formation in trees. Plant Physiology 127L 1513-1523. DOI: 10.1104/pp.010816
• Poorter H., Jagodzinski A.M., Ruiz-Peinado R., Kuyah S., Luo Y., Oleksyn J., Usoltsev V.A., Buckley T.N., Reich P.B., Sack L. [2015]: How does biomass distribution change with size and differ among species? An analysis for 1200 plant species from five continents. New Phytologist 208: 736-749. DOI: 10.1111/nph.13571
• Prescher F., Stahl E.G. [1986]: The effect of provenance and spacing on stem straightness and number of spike knots of Scots pine in south and central Sweden. Studia Forestalia Suecica 172: 12
• Press M.C. [1999]: The functional significance of leaf structure. A search for generalizations. New Phytology 143: 213-219. DOI: 10.1046/j.1469-8137.1999.00432.x
• Read J., Stokes A. [2006]: Plant biomechanics in an ecological context. American Journal of Botany 93: 1546-1565. DOI: 10.3732/ajb.93.10.1546
• Rasdorsky W. [1928]: Uber das baumechanische Modell der Pflanzen. Details. Berichte der Deutschen Botanischen Gesellschaft. 48-104
• Riesco Munoz G., Soilan Canas M.A., Rodriguez Soalleiro R. [2008]: Physical properties of wood in thinned Scots pines (Pinus sylvestris L.) from plantations in northern Spain. Annals of Forest Science 5 [65]: 1-8. DOI: 10.1051/forest:2008026
• Sanson G.D. [2006]: The biomechanics of browsing and grazing. American Journal of Botany 93: 1531-1545. DOI: 10.3732/ajb.93.10.1531
• Saunderson S.E.T., England A.H., Baker C.J. [1999]: A dynamic model of the behaviour of Sitka spruce in high winds. Journal of Experimental Biology 200 [3]: 249-259. DOI: 10.1006/jtbi.1999.0983
• Schenk H.J., Jackson R.B. [2002]: Rooting depths, lateral root spreads, and below-ground/above-ground allometries of plants in water-limited ecosystems. Journal Ecology 90: 480-494. DOI: 10.1046/j.1365-2745.2002.00682.x
• Schniewind A.P. [1962]: Horizontal specific gravity variation in tree stems in relation to their support function. Forest Science 8: 111-118
• Schwendener S. [1874]: Das mechanische Prinzip im anatomischen Bauder Monocotylen mit vergleichenden Ausblicken auf die ubrigen Pflanzenklassen. [The mechanical principles of the anatomy of monocotyledons with an overview of the other plant classes]. Engelmann, Leipzig, Germany, Science Technology 28: 119-134
• Scott R.E., Mitchell S.J. [2005]: Empirical modeling of windthrow risk in partially harvested stands using tree, neighborhood, and stand attributes. Forest Ecology and Management 218: 193-209. DOI: 10.1016/j.foreco.2005.07.012
• Spatz H.-C. [2000]: Greenhill's formula for the critical Euler buckling length revisited. in: 3rd Plant Biomechanics Conference. Freiburg-Badenweiler, Germany, pp. 30-37
• Spatz H.-C., Bruechert F. [2000]: Basic biomechanics of selfsupporting plants: wind loads and gravitational loads on a Norway spruce tree. Forest Ecology Management 135: 33-44. DOI:10.1016/S0378-1127(00)00296-6
• Spatz H.-C., Kohler L., Niklas K.J. [1999]: Mechanical behavior of plant tissues. Composite materials or structures? Journal of Experimental Biology 202: 3269-3272
• Sperry J. S., Hacke U. G., Pittermann J. [2006]: Size and function in conifer tracheids and angiosperm vessels. American Journal of Botany 93 [10]: 1490-1500. DOI: 10.3732/ajb.93.10.1490
• Szaban J., Kowalkowski W., Karaszewski Z., Jakubowski M. [2014]: Effect of tree provenance on basic wood density of Norway spruce (Picea abies [L.] Karst.) grown on an experimental plot at Siemianice Forest Experimental Station. Drewno. Prace Naukowe. Doniesienia. Komunikaty 191 [57]: 135-143
• Telewski F.W. [1995]: Wind-induced physiological and developmental responses in trees. in: Wind and Trees. M.P. Coutts and J. Grace [eds.), Cambridge University Press, Cambridge, UK, pp. 237-263
• Telewski F.W., Pruyn, M.L. [1998]: Thigmomorphogenesis. A dose response to flexing in Ulmus americana seedlings. Tree Physiology 18: 65-68. DOI: 10.1093/treephys/18.1.65
• Tomczak A., Jelonek T., Pazdrowski W. [2014]: Characteristics of selected morphological traits of trees in mature Scots pine stands exposed to wind. Sylwan 158 [3]: 183-191
• Tomczak A., Pazdrowski W., Jelonek T., Grzywiński W. [2009]: Wood quality in Scots pine (Pinus sylvestris L.) Part 3. The effect of management operations on wood quality. Sylwan 153 [8]: 519-527
• Valinger E., Fridman J. [1997]: Modelling probability of snow and wind damage in Scots pine stands using tree characteristics. Forest Ecology and Management 97: 215-222. DOI: 10.1016/S0378-1127(97)00062-5
• Vincent J.F.V. [1990]: Fracture properties of plants. Advances in Botanical Research 17: 235-287. DOI: 10.1016/S0065-2296(08)60135-4
• Vogel S. [2003]: Comparative Biomechanics: Life’s Physical World. Princeton University Press, Princeton, NJ, USA
• Wade J.E., Hewson E.W. [1979]: Trees as a local climatic wind indicator. Journal of Applied Meteorology and Climatology 18: 1182-1187. DOI: 10.1175/1520-0450(1979)018<1182:TAALCW>2.0.CO;2
• West G.B., Brown J.H., Enquist B.J. [1999]: A general model for the structure and allometry of plant vascular systems. Nature 400: 664-667. DOI: 10.1038/23251
• Wiemann M.C., Williamson G.B. [2002]: Geographic variation in wood specific gravity: effects of latitude, temperature, and precipitation. Wood Fiber and Science 34 [1]: 96-107
• Wilson B.F., Archer R.R. [1979]: Tree design: some biological solutions to mechanical problems. BioScience 29 [5]: 293-298
• Wodzicki T.J. [2001]: Natural factors affecting wood structure. Wood Science and Technology 35 [1-2]: 5-26. DOI: 10.1007/s002260100085
• Wood C.J. [1995]: Understanding wind forces on trees. In: Wind and Trees. M. P. Coutts and J. Grace (eds.). Cambridge University Press, Cambridge, UK, pp. 133-164
• Ylinen A. [1952]: Uber die mechanische Schaftformtheorie der Baume. [Theory of mechanical formation of trees] Technische Hochschule in Finnland. Wissenschaftliche Forschungen 7: 51

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).