Taper functions for Scots pine (Pinus sylvestris L.) and Sitka spruce (Picea sitchensis (Bong.) Carr.) in Northern Britain

Forestry

Volumn 84, Issue 1, 2011, Pages 49-60

  Fonweban, John ^a   Gardiner, Barry ^a   Macdonald, Elspeth ^a   Auty, David ^a  

^a FOREST RESEARCH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONIFEROUS TREE; DIAMETER; MODEL VALIDATION; PHYTOMASS; PLANTATION FORESTRY; WOOD QUALITY;

ENGLAND; SCOTLAND; UNITED KINGDOM;

PICEA SITCHENSIS; PINUS SYLVESTRIS;

EID: 79951628913     PISSN: 0015752X     EISSN: 14643626     Source Type: Journal    
DOI: 10.1093/forestry/cpq043     Document Type: Article

References (75)

1. Achim, A., Gardiner, B., Leban, J. M. and Daquitaine, R. 2006 Predicting the branching properties of sitka spruce grown in Great Britain. N. Z. J. For. Sci. 36, 246-264. (Pubitemid 44941327)
2. Auty, D. 2011 Developing a timber quality model for scots pine (Pinus sylvestris L) applicable to a range of silvicultures including conversion to irregular structures. Ph. D. thesis, University of Aberdeen.
3. Bluhm, A. A., Garber, S. M. and Hibbs, D. E. 2007 Taper Equations and Volume Tables for Plantation-Grown Red Alder. USDA For. Serv. General Technical Report. PNW-GTR-735. 74 pp.
4. Bouillet, J. P. 1993 Influence des éclaircies sur la forme du tronc: anisotropie radiale et profil en long de Pinus kesiya dans la région du Mangoro (Madagascar). Thèse de Doctorat. ENGREF, Nancy, France, 247 pp +annexes.
5. Bruce, D., Curtis, R. O. and Vancoevering, C. 1968 Development of a system of taper and volume tables for red alder. For. Sci. 14, 339-350.
6. Bryne, J. C. and Reed, D. D. 1986 Complex compatible taper and volume estimation systems for red and Loblolly Pine. For. Sci. 32, 423-443. (Pubitemid 17236824)
7. Burkhart, H. E. 1977 Cubic-foot volume of loblolly pine to any merchantable top limit. South J. Appl. For. 1, 7-9.
8. Cao, Q. V. and Burkhart, H. E. 1980 Cubic-foot volume of loblolly pine to any height limit. South J. Appl. For. 4, 166-168.
9. Cochran, W. G. 1977 Sampling Techniques. (3rd edn.). Wiley, New York, NY, 428 p.
10. Corona, P. 1992 An approach to predicting static properties of tree stems. Int. J. For. Eng. 3, 7-12.
11. Courbet, F. and Houllier, F. 2002 Modelling the profile and internal structure of tree stem. Application to Cedrus atlantica (Manetti). Ann. For. Sci. 59, 63-80. (Pubitemid 34281047)
12. Deadman, M. W. and Goulding, C. J. 1979 A method for the assessment of recoverable volume by log types. (MARVL). N. Z. J. For. Sci. 9, 225-239.
13. Deleuze, C. and Houllier, F. 2002 A flexible radial increment taper equation derived from a process-based carbon partitioning model. Ann. For. Sci. 59, 141-154. (Pubitemid 34653177)
14. Demaerschalk, J. P. and Kozak, A. 1977 The whole-bole system: a conditioned dual equation system for precise prediction of tree profiles. Can. J. For. Res. 7, 488-497.
15. Diéguez-Aranda, U., Castedo-Dorado, F., Álvarez- González, J. G. and Rojo, A. 2006 Compatible taper function for plantations in northwestern Spain. Can. J. For. Res. 36, 1190-1205. (Pubitemid 44140938)
16. Edwards, M. V. and Christie, J. M. 1981 Yield Models for Forest Management. Forestry Commission Booklet No. 48, Edinburgh, UK.
17. Fang, Z. and Bailey, R. L. 2001 Nonlinear mixed effects modeling for slash pine dominant height growth following intensive silvicultural treatments. For. Sci. 47, 287-300. (Pubitemid 33082813)
18. Fonweban, J. N. and Houllier, F. 1997 Tarifs de cubage et fonctions de défilement pour Eucalyptus saligna au Cameroun. Ann. Sci. For. 54, 513-528. (Pubitemid 27398739)
19. Fonweban, J. N. 1999 An Evaluation of numerical integration of taper functions for volume estimation in Eucalyptus saligna stands. J. Trop. For. Sci. 11, 410-419. (Pubitemid 129671394)
20. FRA 2010 Global Forest Resources Assessment 2010-Country Report, United Kingdom of Great Britain and Northern Ireland. FRA2010/221. Forestry Department, FAO, Rome, Italy, 73 pp.
21. Garber, S. M. and Maguire, D. A. 2003 Modeling stem taper of three central Oregon species using nonlinear mixed effects models and autoregressive error structures. For. Ecol. Manage. 179, 507-522. (Pubitemid 36738051)
22. Gardiner, B. and Macdonald, E. 2005 Compression Wood in Conifers: The Characterisation of Its Formation and Relevance to Timber Quality. Forest Research, Edinburgh, Final Report. EU Project QLK5-CT-2001-00177. http://www.forestry. gov. uk/fr/INFD-63KH3X (accessed on 6 December, 2010).
23. Gardiner, B., Leban, J.-M., Auty, D. and Simpson, H. L. 2010 Models for Predicting the Wood Density of British Grown Sitka Spruce. Forestry (in press).
24. Goulding, C. J. and Murray, J. C. 1976 Polynomial taper equations that are compatible with tree volume equations. N. Z. J. For. Sci. 5, 313-322.
25. Gregoire, T. G. and Schabenberger, O. 1999 Predicting bole biomass with an integrated model of tree taper. In Bulletin of the International Statistical Institute, 52nd Session Proceedings Tome LVII, Book 2. V. Nair and M. Hallin (eds). International Statistical Institute, The Hague, The Netherlands. pp. 447-450. http://isi.cbs.nl/iamamember/CD1b/DATA/greg0168.PDF
26. Houllier, F., Leban, J. M. and Colin, F. 1995 Linking growth modelling to timber quality assessment for Norway spruce. For. Ecol. Manage. 74, 91-102.
27. Huang, S., Meng, S. X. and Yang, Y. 2009 Estimating a nonlinear mixed volume-age model with and without taking into account serially-correlated errors: Differences and implications. Mod. Appl. Sci. 3, 20.
28. Ikonen, V. P., Kellomaki, S. and Peltola, H. 2003 Linking tree stem properties of Scots pine (Pinus sylvestris L.) to sawn timber properties through simulated sawing. For. Ecol. Manage. 1746, 251-263. (Pubitemid 36234168)
29. INRA/ENGREF 1999 Win-Epifn. Guide de l'Utilisateur. INRA/ENGREF, Nancy, France. 52 pp + appendix.
30. Jiang, L., Brooks, J. R. and Hobbs, G. R. 2007 Using crown ratio in yellow-poplar compatible taper and volume equations. North. J. Appl. For. 24, 271-275. (Pubitemid 350279871)
31. Knauft, F. J. 2004 Modelling of stem shape in an individual-based growth model. In Fourth International Workshop on Functional-Structural Plant Models, 7-11 June 2004. C. Godin, J. Hanan, W. Kurth, A. Lacointe, A. Takenaka, P. Prusinkiewicz, T. DeJong, C. Beveridge and B. Andrieu (eds). Campus ENSAM/INRA2, place Viala, Montpellier, France, pp. 182-185.
32. Kozak, A. 1988 A variable-exponent taper equation. Can. J. For. Res. 18, 1363-1368. (Pubitemid 19325646)
33. Kozak, A. 2004 My last words on taper equations. For. Chron. 80, 507-515. (Pubitemid 39225165)
34. Kozak, A., Munro, D. D. and Smith, J. H. G. 1969 Taper functions and their application in forest inventory. For. Chron. 45, 278-283.
35. Laasasenaho, J. 1982 Taper curve and volume functions for pine, spruce and birch. Comm. Inst. For. Fenn. 108, 74.
36. Larsen, D. R. and Scott, R. 2009 Developments to the SYLVAN stand structure model to describe wood quality changes in southern bottomland hardwood forests because of forest management. In Forest Growth and Timber Quality. Proceedings of International Conference (Gen. Tech. rep. PNW-GTR-791). D. P. Dykstra and R. A. Monserud (eds.). USDA Forest Service PNW-Resource Statistics, Portland, OR. pp. 125-131.
37. Leban, J. M. 2003 Models for the Timber Quality Assessment of the Actual Forest Resource. Methodology for Sitka Spruce. John Eadie Memorial Fellow Report, Scottish Forestry Trust, Edinburgh, 29 pp.
38. Leban, J. M., Daquitaine, R., Houllier, F. and Saint André, L. 1996 Linking models for tree growth and wood quality in Norway spruce. Part 1: validations of predictions for sawn properties, ring width, wood density and knotiness. In Connection between Silviculture and Wood Quality through Modelling Approaches and Simulation Software, IUFRO WP S5.01-04 Workshop, Berg-en-Dal, South Africa, August 1996. G. Nepveu (ed.). Institute National de Recherche Agronomique (INRA), Nancy, France, pp. 220-228.
39. Leites, L. P. and Robinson, A. P. 2004 Improving taper equations of loblolly pine with crown dimensions in a mixed-effects modeling framework. For. Sci. 50, 204-212. (Pubitemid 38708760)
40. Leujeune, G., Ung, C. H., Fortin, M., Guo, X. J., Lambert, M. C. and Ruel, J. C. 2009 A simple stem taper model with mixed effects for boreal black spruce. Eur. J. Forest. Res. 128, 505-513.
41. Li, R. and Weiskittel, A. R. 2010 Comparison of model forms for estimating stem taper and volume in the primary conifer species of the North American Acadian Region. Ann. For. Sci. 67, 302-317.
42. Littell, R. C., Milliken, G. A., Stroup, W. W., Wolfinger, R. D. and Schabenberger, O. 2006 SAS System for Mixed Models. (2nd edn). SAS Institute Inc., Cary, NC, 814 pp.
43. Lizarralde, I., Broto, M., Rodriguez, F. and Bravo, F. 2008 Taper equations and wood products: assessing the carbon flow of the forest through its products. In Managing Forest Ecosystems: The Challenge of Climate Change. Managing Forest Ecosystems. Vol. 17, F. Bravo, V. LeMay, R. Jandl and K. von Gadow (eds.), Springer Science and Business Media (www.springer.com), pp. 165-177.
44. Lowell, K. E. 1986 A flexible polynomial taper equation and its suitability for estimating stem profiles and volumes of fertilized and unfertilized Radiata pine trees. Aust. For. Res. 16, 165-174.
45. Martin, A. J. 1984 Testing Volume equation accuracy with water displacement techniques. For. Sci. 30, 41-50.
46. Matthews, R. W. and Broadmeadow, S. J. 2009 The potential of UK forestry to contribute to government's emissions reduction commitments. In Combating Climate Change - A Role of UK Forests. An Assessment of the Potential of the UK's Trees and Woodlands to Mitigate and Adapt to Climate Change. Chapter 8. D. J. Read, P. H. Free-Smith, J. I. L. Morison, N. Hanley, C. C. west and P. Snowdon (eds.). The Stationary Office (TSO), Edinburgh, pp. 139-161.
47. Max, T. A. and Burkhart, H. E. 1976 Segmented polynomial regression applied to taper equations. For. Sci. 22, 283-289.
48. McTague, J. P. and Bailey, R. L. 1987 Simultaneous total and merchantable volume equations and a compatible taper function for loblolly pine. Can. J. For. Res. 17, 87-92.
49. Muhairwe, C. K., LeMay, V. M. and Kozak, A. 1994 Effects of adding tree, stand, and site variables to Kozak's variableexponent taper equation. Can. J. For. Res. 24, 252-259.
50. Newnham, R. M. 1988 A Variable-form Taper Equation. Information Report PI-X-83. Petawawa, Ontario, Canada, Canadian Forest Service, Petawawa National Forest Institute.
51. Newnham, R. M. 1992 Variable-form taper functions for four Alberta tree species. Can. J. For. Res. 22, 210-223.
52. Nicoll, B. C. and Ray, D. 1996 Adaptive growth of tree root systems in response to wind action and site conditions. Tree Physiol. 16, 891-898.
53. Nieuwenhuis, M. 2002 The development and validation of pre-harvest inventory methodologies for timber procurement in Ireland. Silva Fenn. 3, 535-547. (Pubitemid 34791952)
54. Ormerod, D. W. 1973 A simple bole model. For. Chron. 49, 136-138.
55. Parresol, B., Hotvedt, J. E. and Cao, Q. V. 1987 A volume and taper prediction system for bald cypress. Can. J. For. Res. 17, 250-259.
56. Parresol, B. R. and Thomas, C. E. 1996 A simultaneous densityintegral system for estimating stem profile and biomass: slash pine and willow oak. Can. J. For. Res. 26, 773-781.
57. Parresol, B. R. and Thomas, C. E. 1989 A density-integral approach to estimating stem biomass. For. Ecol. & Manage 26, 285-297.
58. Perez, D. N., Burkhart, H. E. and Stiff, C. T. 1990 A Variable-Form Taper Function for Pinus Oocarpa Schiede in Central Honduras. For. Sci. 36, 186-191.
59. Pinherio, J. C. and Bates, D. M. 2000 Mixed-Effects Models in S and S-Plus. Springer-Verlag, New York, NY, 528 p.
60. Quine, C. P. and White, I. M. S. 1994 Using the relationship between rate of tatter and topographic variables to predict site windiness in upland Britain. Forestry. 67, 245-256. (Pubitemid 2122638)
61. Rojo, A., Perales, X., Sanchez-Rodriguez, F., Alvarez-Gonzalez, J. G. and von Gadow, K. 2005 Stem taper functions for maritime pine (Pinus pinaster Ait.) in Galicia (northwestern Spain). Eur. J. For. Res. 25, 177-186. (Pubitemid 41645402)
62. Saint André, L., Leban, J. M., Daquitaine, R. and Houllier, F. 1996 Linking models for tree growth and wood quality in Norway spruce. Part II: Assessment and monitoring of timber quality at a regional level. In Connection between Silviculture and Wood Quality through Modelling Approaches and Simulation Software. Proceeding of the 2nd Workshop UFRO WP S5.01-04 Workshop, Berg-en-Dal, South Africa, August 1996. G. Nepveu (ed.). Institute National de Recherche Agronomique (INRA), Nancy, France.
63. SAS Institute Inc 2004 SAS/STAT 9.1 User's Guide. Cary, NC, 5136 p.
64. Sharma, M. and Zhang, S. Y. 2004 Variable-exponent taper equations for jack pine, black spruce, and balsam fir in eastern Canada. For. Ecol. Manage. 198, 39-53. (Pubitemid 39027300)
65. Snowdon, P., Raison, J., Keith, H., Ritson, P., Grierson, P. and Adams, M. et al. 2002 Protocol for Sampling Tree and Stand Biomass. National Carbon Accounting System, Technical Report No. 31, Australian Greenhouse Office, Canberra, Australia.
66. Tasissa, G. and Burkhart, H. E. 1998 An application of mixed effects analysis to modeling thinning effects on stem profile of loblolly pine. For. Ecol. Manage. 103, 87-101. (Pubitemid 28167113)
67. Tasissa, G., Burkhart, H. E. and Amateis, R. L. 1997 Volume and taper equations for thinned and unthinned loblolly pine tree in cutover, site-prepared plantations. South. J. Appl. For. 21, 146-152. (Pubitemid 127660173)
68. Thomas, C. E., Parresol, B. R. and Lê, K. H. N. 1995 Biomass and Taper for trees in thinned and unthinned Longleaf Pine plantations. South. J. Appl. For. 19, 29-35.
69. Trincado, G. and Burkhart, H. E. 2006 A generalized approach for modeling and localizing stem profile curves. For. Sci. 52, 670-682. (Pubitemid 44936515)
70. Vonesh, E. F. and Chinchilli, V. M. 1997 Linear and Nonlinear Models for the Analysis of Repeated Measurements. Marcel Dekker, New York, NY, 560 p.
71. Wang, D.-H., Hsieh, H.-C. and Tang, S-C. 2007 Taper modeling on Taiwania plantation trees in the Liukuei area. Taiwan J. For. Sci. 22, 339-353. (Pubitemid 350034448)
72. West, P. W., Ratkowsky, D. A. and Davis, A. W. 1984 Problems of hypothesis testing of regressions with multiple measurements from individual sampling units. For. Ecol. Manage. 7, 207-224.
73. Yang, Y., Huang, S., Trincado, G. and Meng, S. X. 2009a Nonlinear mixed-effects modelling of variable-exponent taper equations for Lodgepole pine in Alberta, Canada. Eur J. For. Res. 128, 415-429.
74. Yang, Y., Huang, S. and Meng, S. X. 2009b Development of a tree-specific stem profile model for white spruce: a nonlinear mixed model approach with a generalized covariance structure. Forestry. 82, 541-555.
75. Younger, N., Temesgen, H. and Garber, S. 2008 Taper and volume responses to sulfur treatment in coastal oregon douglas fir stands. West. J. Appl. For. 23, 142-148.