J. For. Sci., 2005, 51(6):244-255 | DOI: 10.17221/4560-JFS

Possible methods of Norway spruce (Picea abies[L.] Karst.) stem shape description

M. Křepela, D. Zahradník, J. Sequens
Faculty of Forestry and Environment, Czech University of Agriculture in Prague, Prague, Czech Republic

The paper shows a possibility of using Bookstein coordinates for stem shape studies. Bookstein coordinates are simplified to stem shape diameters, for which tests of multidimensional normality, variance-covariance matrix homogeneity, equality of mean shape vectors and principal component calculation are carried out in sample plots Doubravčice 1 and Štíhlice. Principal components are also calculated for Procrustes tangent coordinates, presented in graphs, and the plots are compared. Doubravčice 1 and Štíhlice plots differ especially in age (70 and 30 years) while they do not differ in tree class representation.

Keywords: Norway spruce (Picea abies [L.] Karst.); stem shape; Bookstein coordinates; stem shape diameters; Procrustes tangent coordinates; principal components analysis

Published: June 30, 2005  Show citation

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Křepela M, Zahradník D, Sequens J. Possible methods of Norway spruce (Picea abies[L.] Karst.) stem shape description. J. For. Sci. 2005;51(6):244-255. doi: 10.17221/4560-JFS.
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References

  1. BOOKSTEIN F.L., 1991. Morphometric Tools for Landmark Data. Cambridge, New York, Port Chester, Melbourne, Sydney, Cambridge University Press: 435.
  2. DRYDEN I.L., MARDIA K.V., 1998. Statistical Shape Analysis. Chichester, New York, Weinheim, Brisbane, Singapore, Toronto, John Wiley & Sons: 345.
  3. DRYDEN I.L., 2000. Statistical shape routines. University of Nottingham. http://www.maths.nottingham.ac.uk/personal/ild/Shape-R/Shape-R.html.
  4. KŘEPELA M., SEQUENS J., ZAHRADNÍK D., 2001. Dendrometric evaluation of stand structure and stem forms on Norway spruce (Picea abies [L.] Karst.) sample plots Doubravčice 1, 2, 3. Journal of Forest Science, 47: 419-427.
  5. KŘEPELA M., 2002. Point distribution form model for spruce stems (Picea abies [L.] Karst.). Journal of Forest Science, 48: 150-155. Go to original source...
  6. KŘEPELA M., SEQUENS J., ZAHRADNÍK D., 2004. A contribution to the knowledge of Scots pine (Pinus sylvestris L.) stem shape. Journal of Forest Science, 50: 211-218. Go to original source...
  7. MARDIA K.V., KENT J.T., BIBBY J.M., 1979. Multivariate Analysis. London, New York, Toronto, Sydney, San Francisco, Academic Press: 521.
  8. MELOUN M., MILITKÝ J., 1998. Statistické zpracování experimentálních dat. Praha, East Publishing: 839.
  9. PRODAN M., 1965. Holzmesslehre. Frankfurt am Main, J. D. Sauerländer's Verlag: 644.

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