Moskva, Russian Federation
Moskva, Russian Federation
employee
Moskva, Russian Federation
UDK 630 Лесное хозяйство. Лесоводство
Models of the stem taper have become widespread in forestry research. Models of the stem taper based on the equations of the stem taper are capable of determining with sufficient accuracy the assortment potential of forest stands. For the Kostroma region, no work has previously been carried out aimed at modeling the stem taper of trunks. Therefore, the goal of the study was to search and justify models of the stem taper of a tree trunk with one equation that most correctly describe the change in tree diameter with height in Scots pine stands growing in the Kostroma region. As experimental data, 10064 measurements of the diameter of 692 pine trees were obtained. To carry out the analysis, 19 models of tree stem taper with one equation were selected. Calculations were carried out in the Python environment. The calculated values of quality metrics, graphical analysis of residuals and errors made it possible to establish that the four-parameter model most adequately describes of the stem taper of pine forest stands in the Kostroma region. The stem diameter predicted using the model at any height makes it possible to analyze the assortment structure without resorting to tree felling. Further research is required aimed at developing standards for the assortment structure of trunks based on the proposed stem taper model.
trunk shape, Pinus sylvestris L., steam taper, regression models, pine stands, Kostroma region
1. Petrovskiy V. S., Malyshev V.V., Murzinov Yu.V. Modelirovanie parametrov drevesnyh stvolov v nasazhdenii. Lesotehnicheskiy zhurnal. 2012; 4(8): 18-22. Rezhim dostupa: https://www.elibrary.ru/item.asp?id=18814608.
2. Scolforo H., McTague J., Burkhart H., Roise J., Carneiro R., Stape J. Generalized stem taper and tree volume equations applied to eucalyptus of varying genetics in Brazil. Canadian Journal of Forest Research. 2018; 49. DOI: https://doi.org/10.1139/cjfr-2018-0276.
3. Choochuen T., Suksavate W., Meunpong P. Development of a Taper Equation for Teak (Tectona grandis L.f.) Growing in Western Thailand. Environment and Natural Resources Journal. 2021; 19. DOI: https://doi.org/176-185.https://doi.org/10.32526/ennrj/19/2020183.
4. Zabavskaya L. N., Vays A.A. Parametry obrazuyuschey funkcii "Harris" i forma nizhney chasti derev'ev sosny. Hvoynye boreal'noy zony. 2021; 39 (2): 95-101. Rezhim dostupa: https://www.elibrary.ru/item.asp?id=46216526.
5. Chernyh V. L., Chernyh L. V., Chernyh D. V., Denisov S. A. Model' sbega komlevoy chasti stvolov osnov-nyh drevesnyh porod hvoyno-shirokolistvennyh lesov Srednego Povolzh'ya. Vestnik Povolzhskogo gosudar-stvennogo tehnologicheskogo universiteta. Seriya: Les. Ekologiya. Prirodopol'zovanie. 2022; 2(54): S. 40-54. DOI: https://doi.org/10.25686/2306-2827.2022.2.40.
6. Zapata M., Bullock B., Montes S. A Taper Equation for Loblolly Pine Using Penalized Spline Regression. Forest Science. 2021; 67. DOI: https://doi.org/10.1093/forsci/fxaa037.
7. Ulak S., Ghimire K., Gautam R., Bhandari S., Poudel K., Timilsina Y., Pradhan D., Subedi T. Predicting the upper stem diameters and volume of a tropical dominant tree species. Journal of Forestry Research. 2022; 33. DOI: https://doi.org/10.1007/s11676-022-01458-5.
8. Alkan O., Ozcelik R. Stem taper equations for diameter and volume predictions of Abies cilicica Carr. in the Taurus Mountains, Turkey. Journal of Mountain Science. 2020. DOI: https://doi.org/17. 3054-3069.https://doi.org/10.1007/s11629-020-6071.
9. H. Sagvan M., Ibrahim S., Hakeem K, Kamziah Abd Kudus K. Development of Volume Function for Final Felling of Pinus brutia Ten in Kurdistan Iraq. Environmental Analysis & Ecology Studies. 2018; 3. DOI: https://doi.org/10.31031/EAES.2018.03.000554.
10. Dubenok N.N., Lebedev A.V., Gostev V.V., Gemonov A.V., Gradusov V.M. Height-Diameter fixed effects models for the pine in European Russia. IOP Conference Series: Earth and Environmental Science. 2022; 1154: 012025. DOI: https://doi.org/10.1088/1755-1315/1154/1/012025.
11. Dubenok N.N., Lebedev A.V., Gostev V.V. Regressionnye modeli smeshannyh effektov zavisimosti vysoty ot diametra stvola v sosnovyh drevostoyah evropeyskoy chasti Rossii. Lesnoy vestnik / Forestry Bulletin. 2023; T. 27.; 5: 37-47. DOI: https://doi.org/10.18698/2542-1468-2023-5-37-47.
12. Kuz'michev V. V., Lebedev A.V. Zakonomernosti izmeneniya razmerov i kachestva drevesiny derev'ev v lesah Evropeyskoy Rossii (po materialam A.A. Kryudenera). Kologriv : Federal'noe gosudarstvennoe byud-zhetnoe uchrezhdenie "Gosudarstvennyy prirodnyy zapovednik "Kologrivskiy les" imeni M.G. Sinicyna". 2022. 96 s. ISBN 978-5-9500560-3-1. EDN ARPHRI. Rezhim dostupa: https://elibrary.ru/item.asp?id=49373785.
13. Dubenok N.N., Kuz'michev V.V., Lebedev A.V. Model' smeshannyh effektov zavisimosti vysot ot diametrov derev'ev v sosnovyh drevostoyah. Izvestiya Sankt-Peterburgskoy lesotehnicheskoy akademii. 2021; 237: 59-74. DOI: https://doi.org/10.21266/2079-4304.2021.237.59-74.
14. Lebedev A., Gostev V., Gemonov A. [et al.]. Two-parameters single equation stem taper models of Pinus sibirica in Siberia, Russia. E3S Web of Conferences EBWFF 2023 - International Scientific Conference Ecological and Biological Well-Being of Flora and Fauna (Part 1). 2023; 420. DOI: https://doi.org/10.1051/e3sconf/202342001024.
15. MacFarlane D. W., Crawford D., Jovanovic T., Frank J., Brack C. Comparing mobile and terrestrial laser scanning for measuring and modelling tree stem taper. Forestry: An International Journal of Forest Research. 2023; 96 (5): 705-717. DOI: https://doi.org/10.1093/forestry/cpad012.
16. Bilous A., Myroniuk V., Svynchuk V., Soshenskyi O., Lesnik O., Kovbasa Ya. Semi-empirical estimation of log taper using stem profile equations. Journal of Forest Science. 2021; 67: 318-327. DOI: https://doi.org/10.17221/209/2020-JFS.
17. Zhang S., Sun J., Duan A., Zhang J., Variable-Exponent Taper Equation Based on Multilevel Nonlinear Mixed Effect for Chinese Fir in China. Forests. 2021; 12 (2): 126. DOI: https://doi.org/10.3390/f12020126.
18. McTague J., Weiskittel A. Evolution, history, and use of stem taper equations: A review of their develop-ment, application, and implementation. Canadian Journal of Forest Research. 2020; 51. DOI: https://doi.org/10.1139/cjfr-2020-0326.
19. Santiago G., Larreta J., Cárdenas M., Quiñonez-Barraza G. Función ahusamiento-volumen comercial de Abies religiosa (Kunth) Schltdl. & Cham. en varias regiones de México. Colombia forestal. 2022; 25. 77-94. DOI: https://doi.org/10.14483/2256201X.17814.
20. Stenman V., Kangas A., Holopainen M. Upper stem diameter and volume prediction strategies in the Na-tional Forest Inventory of Finland. 2023; 57 (3). DOI: https://doi.org/10.14214/sf.23021.