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HEIGHT-DIAMETER CURVE ESTIMATION AND PREDICTION WITH VASICEK MODEL

Petras Rupsys

First published: 2013-06-20https://doi.org/10.5593/sgem2013/bc3/s14.003View metrics

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Title
HEIGHT-DIAMETER CURVE ESTIMATION AND PREDICTION WITH VASICEK MODEL
Authors
Petras Rupsys
Proceedings
SGEM International Multidisciplinary Scientific GeoConference EXPO Proceedings; 13th SGEM GeoConference on WATER RESOURCES. FOREST, MARINE AND OCEAN ECOSYSTEMS
Publisher
Stef92 Technology
Year
2013
Pages
779 - 786 pp
ISSN
1314-2704
ISBN
Not available yet
Language
en
Publication type
Conference Paper
References36

  1. Arabatzis A.A. & Burkhart H.E. An evaluation of sampling methods and model forms for estimating height-diameter relationships in loblolly pine plantations, Forest Science, vol. 38, pp 192-198, 1992.

  2. Hummel S. Height, diameter and crown dimensions of Cordia alliodora associated with tree density, Forest Ecology and Management, vol. 127, pp 31–40, 2000.

  3. Itô K. On stochastic processes, Japan Journal of Mathematics, vol. 18, pp 261-301, 1942.

  4. Ouzennou H., Pothier D. & Raulier F. Adjustment of the age –height relationship for uneven-aged black spruce stands, Canadian Journal of Forest Research, vol. 38, pp –2012, 2008.

  5. Mitscherlich E.A. Die zweite Annäherung des Wirkungsgesetzes der Wachstumsfaktoren, Zeitschrift für Pflanzenernährung, vol 12, pp 273–282, 1928.

  6. Petrauskas E., Rupšys P. & Memgaudas R. Q -exponential variable form of a stem taper and volume models for Scots pine ( Pinus Sylvestris) in Lithuania, Baltic Forestry, vol. 17, pp 118-127, 2011.

  7. Rupšys P. On the Use of q-exponential functions for developing stem profile and volume models, International Journal of Biological Engineering, vol. 2, pp 48-55.

  8. Rupšys P. & Petrauskas E. Analysis of height curves by stochastic differential equations, International Journal of Biomathematics, vol. 5, 1250045. doi No: DOI: 10.1142/S1793524511001878, 2012.

    View DOICrossrefGoogle ScholarWeb of ScienceScopusOpenCitations

  9. Rupšys P. & Petrauskas E. The bivariate Gompertz diffusion model for tree diameter and height distribution, Forest Science, vol. 56, pp 271-280, 2010.

  10. Rupšys P. & Petrauskas E. Quantifying tree diameter distributions with one- dimensional diffusion processes, Journal of Biological Systems, vol. 18, pp 205 -221, 2010. GeoConference on Water Resources. Forest, Marine and Ocean Ecosystems

  11. Rupšys P., Petrauskas E., Mažeika J. & Deltuvas R. The Gompertz type stochastic growth law and a tree diameter distribution, Baltic Forestry, vol. 13, pp 197-206, 2007.

  12. Scaranello M.A., Alves L.F., Vieira S.A., Camargo P.B., Joly C.A. & Martinelli L.A. Height-diameter relationships of tropical Atlantic moist forest trees in southeastern Brazil, Scientia Agricola, vol. 69, pp 26-37, 2010.

  13. Stankova T. & Dieguez-Aranda U. Height-diameter relationships for Scots pine plantations in Bulgaria: optimal combination of model type and application, Annals of Forest Research, vol. 56(1), 2013 .

  14. Suzuki T. Forest transition as a stochastic process, Mit Forstl Bundesversuchsanstalt Wein, vol. 91, pp 69-86, 1971.

  15. Tanaka K. A stochastic model of diameter growth in an even-aged pure forest stand, Journal of the Japanese Forest Society, vol. 68, pp 226-236, 1986.

  16. VanderSchaaf C.L. Mixed-Effects Height-Diameter Models for Commercially and Ecologically Important Conifers in Minnesota, Northern Journal of Applied Forestry , vol. 29, pp 15-20, 2012.

  17. Vasicek O. An equilibrium characterization of the term structure, Journal of Financial Economics, vol. 5, pp 177–186, 1977.

  18. Uhlenbeck G.E. & Ornstein L.S. On the theory of Brownian Motion, Physical Review, vol. 36, pp 823–841, 1930.

  19. Arabatzis A.A. & Burkhart H.E. An evaluation of sampling methods and model forms for estimating height-diameter relationships in loblolly pine plantations, Forest Science, vol. 38, pp 192-198, 1992.

  20. Hummel S. Height, diameter and crown dimensions of Cordia alliodora associated with tree density, Forest Ecology and Management, vol. 127, pp 31–40, 2000.

  21. Itô K. On stochastic processes, Japan Journal of Mathematics, vol. 18, pp 261-301, 1942.

  22. Ouzennou H., Pothier D. & Raulier F. Adjustment of the age –height relationship for uneven-aged black spruce stands, Canadian Journal of Forest Research, vol. 38, pp –2012, 2008.

  23. Mitscherlich E.A. Die zweite Annäherung des Wirkungsgesetzes der Wachstumsfaktoren, Zeitschrift für Pflanzenernährung, vol 12, pp 273–282, 1928.

  24. Petrauskas E., Rupšys P. & Memgaudas R. Q -exponential variable form of a stem taper and volume models for Scots pine ( Pinus Sylvestris) in Lithuania, Baltic Forestry, vol. 17, pp 118-127, 2011.

  25. Rupšys P. On the Use of q-exponential functions for developing stem profile and volume models, International Journal of Biological Engineering, vol. 2, pp 48-55.

  26. Rupšys P. & Petrauskas E. Analysis of height curves by stochastic differential equations, International Journal of Biomathematics, vol. 5, 1250045. doi No: DOI: 10.1142/S1793524511001878, 2012.

    View DOICrossrefGoogle ScholarWeb of ScienceScopusOpenCitations

  27. Rupšys P. & Petrauskas E. The bivariate Gompertz diffusion model for tree diameter and height distribution, Forest Science, vol. 56, pp 271-280, 2010.

  28. Rupšys P. & Petrauskas E. Quantifying tree diameter distributions with one- dimensional diffusion processes, Journal of Biological Systems, vol. 18, pp 205 -221, 2010. GeoConference on Water Resources. Forest, Marine and Ocean Ecosystems

  29. Rupšys P., Petrauskas E., Mažeika J. & Deltuvas R. The Gompertz type stochastic growth law and a tree diameter distribution, Baltic Forestry, vol. 13, pp 197-206, 2007.

  30. Scaranello M.A., Alves L.F., Vieira S.A., Camargo P.B., Joly C.A. & Martinelli L.A. Height-diameter relationships of tropical Atlantic moist forest trees in southeastern Brazil, Scientia Agricola, vol. 69, pp 26-37, 2010.

  31. Stankova T. & Dieguez-Aranda U. Height-diameter relationships for Scots pine plantations in Bulgaria: optimal combination of model type and application, Annals of Forest Research, vol. 56(1), 2013 .

  32. Suzuki T. Forest transition as a stochastic process, Mit Forstl Bundesversuchsanstalt Wein, vol. 91, pp 69-86, 1971.

  33. Tanaka K. A stochastic model of diameter growth in an even-aged pure forest stand, Journal of the Japanese Forest Society, vol. 68, pp 226-236, 1986.

  34. VanderSchaaf C.L. Mixed-Effects Height-Diameter Models for Commercially and Ecologically Important Conifers in Minnesota, Northern Journal of Applied Forestry , vol. 29, pp 15-20, 2012.

  35. Vasicek O. An equilibrium characterization of the term structure, Journal of Financial Economics, vol. 5, pp 177–186, 1977.

  36. Uhlenbeck G.E. & Ornstein L.S. On the theory of Brownian Motion, Physical Review, vol. 36, pp 823–841, 1930.

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