Regularities in form of birch trees in Ukrainian Polissia

Authors

  • V. V. Bychenko National University of Life and Environmental Sciences of Ukraine image/svg+xml
  • A. M. Tyshchenko National University of Life and Environmental Sciences of Ukraine image/svg+xml

DOI:

https://doi.org/10.31548/forest2020.01.004

Abstract

The experience in describing the shape of a tree trunk is generalized. The relevance of the study is due to the need to take into account the individual characteristics of the trunks in the accuracy of the forecast of diameters according to the mathematical model of the generatrix. Thus, the purpose of the research is to identify the dependence of the taper of the trunks on the ranks they occupy in the stands. Based on experimental data (Girs, 1981) collected in artificial stands of Polissia, the dependences of the change in the shape of silver birch trunks (Betula pendula Roth.) were analyzed. To analyze the taper, the trunks of model trees were divided into eight zones by relative heights. The taper of each zone was defined as the tangent of the inclination angle of the line connecting two consecutive points on the trunk. The dataset was checked for the presence of atypical trees, which were excluded from further research. Model trees were ranked according to the average diameters of the sample plots, natural degrees of thickness (Tyurin, 1938) and generalized series of the distribution of the number of trees in birch stands of Ukraine (Girs, 1981). Statistical and graphical analysis of the dynamics of the change of the tangent of the angle of inclination of the approximating line by zones and ranks has been performed. The difference in the nature of taper in the upper part of trunks of different ranks is revealed. Using the t-test, the hypothesis of differences in taper in groups of trunks with ranks ≤ 60 % and > 60 % at a relative height of 0.5h – 0.85h was confirmed at the 5 % level of significance. Thus, trunks of higher ranks turned out to have greater taper, in contrast to trees with a rank of ≤ 60 %, which are characterized by smaller taper. The established difference in shape can be explained by the height of the beginning and the length of the crown in trees of different ranks. The obtained results can be used to improve the accuracy of mathematical models of generatrixes by calibrating their parameters according to the respective ranks of the trunks.

Keywords: tree trunk formation, zonal approximation, tree ranks, crown height, t-test.

Author Biographies

  • V. V. Bychenko, National University of Life and Environmental Sciences of Ukraine
    студент
  • A. M. Tyshchenko, National University of Life and Environmental Sciences of Ukraine
    аспірант

References

Anuchin, N. P. (1982). Forest mensuration. Moscow: Forest industry [in Russian].

Arias-Rodil, M., Castedo-Dorado, F., Camara-Obregon, A., & Diegues-Aranda U. (2015). Fitting and calibrating a multilevel mixed-effects stem taper model for Maritime pine in NW Spain. PLoS ONE, 10 (12). https://doi.org/10.1371/journal.pone.0143521

Clark III, A., Souter, R. A., & Schlaegel, B. E. (1991). Stem profile equations for Southern Tree Species. Research Paper, 282, 113. https://doi.org/10.2737/SE-RP-282

Denisov, A. O. (1988). Form of the trunks of pine, larch, birch and poplar in the forest shelter belts of the Khakassko-Minusinsk hollow. Scientific Works of University of Krasnoyarsk. Krasnoyarsk: STI, 36-43 [in Russian].

Fedosimov, A. N. (1968). Volumes of medium-sized pine trunks. Forestry, 4, 52-53 [in Russian].

Fonweban, J., Gardiner, B., & Auty, D. (2012). Variable-top merchantable volume equations for Scots pine [Pinus sylvestris] and Sitka spruce in Northern Britain. International Journal of Forest Research, 85 (2), 237-253. https://doi.org/10.1093/forestry/cpr069

Girs, A. O. (1981). Marketability of birch and aspen stands (Ph.D dissertation). Ukrainian Agriculture Academy, Kyiv [in Russian].

Gomes-Galicia, E. (2013). Selection of mixed-effects parameters in a variable-exponent taper equation for birch trees in northwestern Spain. Annals of Forest Science, 70, 707-715. https://doi.org/10.1007/s13595-013-0313-9

Heger, L. M. (1965). A trial of Hohenedl's method of stem form and stem volume estimation. Forestry Chronicle, 41 (4), 466-475. https://doi.org/10.5558/tfc41466-4

Kofman, H. B. (1986). Growth and tree stem form. Novosibirsk: Science, 210 [in Russian].

Mesavage, C., & Girard, J. (1946). Tables for estimating board foot volume of timber. Department of Agriculture & Forest Service: Washington. https://doi.org/10.5962/bhl.title.127722

Moshkalev, A., & Davidov, G. (1983). Modeling of assortment and commodity tables. Kaunas: LitSHA, 58-59 [in Russian].

Moshkalev, A. G. (1973). Understatement of trunk volumes at present and elimination of errors in characterizing a generatrix by a polynomial. Leningrad: LenFTA, 85-102 [in Russian].

Myroniuk, V. V., & Polishchuk, V. V. (2016). Comparative analysis of different approaches for modeling of stem taper of birch trees. Forestry and Park-Gardening, 9, 14.

Nesterov, V., Korotkova, S., & Korotkov, A. (1971). Change in the generatrix of a tree trunk with age. TLCA reports, 162, 346-350 [in Russian].

Nykytyn, K. E. (1978). Concerning the logarithmic taper equation of tree stem. Scientific Works of Ukrainian Agricultural Academy, 213, 4-9 [in Russian].

Polyakov, O., & Polyakov, M. (2008). Adaptive industrial system for timber volume estimation of the forest fund: reference data. Scientific Herald of the National Agrarian University, 122, 153-158 [in Ukrainian].

Rojo, A., Perales, X., Sanchez-Rodriguez, F., Gonzales, J., & Gadow, K. (2005). Stem taper functions for maritime pine in Galicia. European Journal of Forest Research, 124 (3), 177-186. https://doi.org/10.1007/s10342-005-0066-6

Silwal, R., Baral, S., & Chhetri, B. (2018). Modeling taper and volume of Sal trees in the western Terai region of Nepal. Banko Janakari, 27 (3), 76-83. https://doi.org/10.3126/banko.v27i3.20544

Socha, J. A. (2002). A taper model for Norway Spruce. Electronic Journal of Polish Agricultural Universities, 5 (2). Retrieved from http://ejpau.media.pl/volume5/issue2/forestry/art-03.html.

Svinchuk V. A., Kashpor, S. M., & Mironyuk V. V. (2014). Mathematical models of the volume the main forest spicies of Ukraine. Scientific Bulletin of NULES of Ukraine, 198 (2), 58-64 [in Ukrainian].

Tyurin, A. V. (1938). Inventory of forest. Moscow: Goslestekhizdat [in Russian].

Zakharov, V. K. (1955). New in wood form research trunks and tabulating volume and concurrence. Collection of scientific papers on forestry, 6, 29- 46 [in Russian].

Zakharov, V. K. (1966). New in forest mensuration technique. Novosibirsk: Science [in Russian].

Published

2020-03-31

Issue

Section

FORESTRY