A mathematical model to describe the dynamic response of a spruce tree to the wind

Trees - Structure and Function

Volumn 12, Issue 6, 1998, Pages 385-394

  Kerzenmacher, Tobias ^a,c   Gardiner, Barry ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b FOREST RESEARCH   (United Kingdom)

^c UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Modelling; Tree Movement; Wind Damage

Indexed keywords

PICEA SITCHENSIS;

EID: 0031900132     PISSN: 09311890     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004680050165     Document Type: Article

References (39)

1. Amiro BD (1990) Drag coefficients and turbulence spectra within three boreal forest canopies. Boundary-Layer Meteorol 52: 227-246
2. Amtmann R (1982) Einige Turbulenzspektren an der Bestandsoberhöhe eines Fichtenwaldes. Arch Met Geoph Biokl 31: 391-404
3. Baker CJ (1995) The development of a theoretical model for the windthrow of plants. J Theor Biol 175: 355-372
4. Blackburn P, Petty JA (1988) Theoretical calculations of the influence of spacing on stand stability. Forestry 61: 235-244
5. Cionco RM (1978) Analysis of canopy index values for various canopy densities. Boundary-Layer Meteorol 15: 81-93
6. Everham EM III (1995) A comparison of methods for quantifying catastrophic wind damage to forests. In: Coutts MP, Grace J (eds) Wind and trees. Cambridge University Press, Cambridge, pp 340-357
7. Försching HW (1974) Grundlagen der Aeroelastik. Springer, Berlin Heidelberg New York, pp 69-74
8. Fraser AI (1962) Wind tunnel studies of the forces acting on the crowns of small trees. Annual Research Report Forestry Commission, UK, pp 178-183
9. Fraser AI, Gardiner JBH (1967) Rooting and stability in Sitka spruce. Forestry Commission Bulletin 40
10. Fritzsche K (1933) Sturmgefahr und Anpassung. Tharandter Forstl Jahrb 84: 1-94
11. Gardiner BA (1989) Mechanical characteristics of Sitka spruce. Forestry Commission Occasional Paper 24
12. Gardiner BA (1992) Mathematical modelling of the static and dynamic characteristics of plantation trees. In: Franke J, Roeder A (eds) Mathematical modelling of forest ecosystems. Sauerländer, Frankfurt/Main, pp 40-61
13. Gardiner BA (1994) Wind and wind forces in a plantation spruce forest. Boundary-Layer Meteorol 67: 161-186
14. Gardiner BA (1995) The interactions of wind and tree movement in forest canopies. In: Coutts MP, Grace J (eds) Wind and trees. Cambridge University Press, Cambridge, pp 41-59
15. Gardiner BA, Stacey GR, Belcher RE, Wood CJ (1997) Field and wind tunnel assessments of the implications of respacing and thinning for tree stability. Forestry 70: 233-252
16. Haymond JL, Hook DD, Harms WR (1996) Hurricane Hugo: South Carolina forest land research and management related to the storm. USDA Forest Service Southern Research Station Gen Tech Rep SRS-5
17. Holbo HR, Corbett TC, Horton PJ (1980) Aeromechanical behaviour of selected Douglas-fir. Agric Meteorol 21: 81-91
18. Irvine MR (1994) Turbulence and turbulent transport above and within coniferous forests. PhD Dissertation, Liverpool University, UK
19. Macdonald AJ, Morgan J (1972) A method for calculating the vibration amplitude of slender structures in turbulent winds. Civil Engineering and Building Science Report, University of Edinburgh
20. Mayer H (1987) Wind induced tree sways. Trees 1: 195-206
21. Metzger C (1893) Der Wind als maßgebender Faktor für das Wachstum der Bäume. Mündener Forstl Hefte 3: 35-86
22. Milne R (1991) Dynamics of swaying of Picea sitchensis. Tree Physiol 9: 383-399
23. Milne R, Brown TA (1990) Tree stability and form. Final report to the CEC Contract MA-0061-UK(BA)
24. Newland DE (1989) Mechanical vibration analysis and computation. Longman, Essex, UK
25. Oliver HR, Mayhead GJ (1974) Wind measurements in a pine forest during a destructive gale. Forestry 47: 185-194
26. th Australasian conference on hydraulics and fluid mechanics. University of Canterbury, New Zealand, pp 235-242
27. Papesch AJG (1984) Wind and its effects on (Canterbury) forests. PhD Dissertation, University Canterbury, New Zealand
28. Peltola H (1996) Swaying of trees in response to wind and thinning in a stand of Scots pine. Boundary-Layer Meteorol 77: 285-304
29. Peltola H, Kellomäki S (1993) A mechanistic model for calculating windthrow and stem breakage of Scots pine at stand edge. Silva Fenn 27: 99-111
30. Roodbaraky H, Baker CJ, Dawson A, Wright C (1994) Experimental observations of urban trees. J Wind Eng Ind Aerodynamics 52: 171-184
31. Saunderson SET (1997) The aerodynamic behaviour of trees in high winds. PhD Dissertation, Nottingham University, UK
32. Scannell B (1984). Quantification of the interactive motions of the atmospheric surface layer and a conifer canopy. PhD Dissertation, Cranfield Institute of Technology, Bedford, UK
33. Stacey GR, Belcher RE, Wood CJ, Gardiner BA (1994) Wind flows and forces in a model spruce forest. Boundary-Layer Meteorol 69: 311-334
34. Tirén L (1929) Einige Untersuchungen über die Schaftform. Medd Statens Skogsförsöksanstalt 24(4)
35. Walshe DE, Fraser AI (1963) Wind tunnel tests on a model forest. National Physical Laboratories Aerodynamics Report 1078
36. Wandeler H, Günter R (1991) Sturmschäden 1990: Lagebeurteilung aus der Sicht der Eidgenössischen Forstdirektion. Schweiz Z Forstwes 142: 453-462
37. rd edn. Cambridge University Press, Cambridge
38. Wood CJ (1995). Understanding wind forces on trees. In: Coutts MP, Grace J (eds) Wind and trees. Cambridge University Press, Cambridge, pp 133-164
39. Ylinen A (1952) Über die mechanische Schaftformtheorie der Bäume. Silva Fenn 76