The dynamic model of pine crops thinning
https://doi.org/10.21266/2079-4304.2022.239.6-21
Abstract
Among the variety of models of growth and productivity of forest stands, a special class of models stands out, which allow predicting the process of thinning. Their purpose is to predict the number of growing trees per unit area in the future for a given initial age and a large number of trees. Numerous studies show that the algebraic difference approach provides acceptable modeling results by predicting the number of trees at a given point in time based on current age data and considering trees. The purpose of the study is to model the thinning of forest plantations based on long-term observations on the permanent test plots with equations obtained using the algebraic difference approach. To study serious measurement data in pine stands of artificial origin on 89 permanent test plots in the Forest Experimental Station of the RSAUMTAA. According to the literary sources of sources, 11 models of thinning of forest stands, a method for obtaining an algebraic difference choice from the basic bases for using various transformations of the initial parameters. For forest cultivated pines in the best dynamic thinning model, formula (N6) based on the ADA methodology is justified. This model is polymorphic and base increase invariant, which requires the use of predictions. The model makes it possible to predict the number of trees, both for naturally formed forest stands, and with the inevitability of disposal. The application of the developed dynamic thinning model should be limited only by the conditions to which the experimental materials relate. A selective research methodology can be used to identify forms of thinning of other forest-forming species in Russia.
About the Authors
N. N. DubenokRussian Federation
DUBENOK Nikolay N. – DSс (Agriculture), professor, academician of RAS, head of the department of Agricultural Reclamation
127434. Timiryazevskaya str. 49. Moscow
A. V. Lebedev
Russian Federation
LEBEDEV Aleksandr V. – PhD (Agriculture), Associate Professor of the department of Agricultural Reclamation
127434. Timiryazevskaya str. 49. Moscow
V. V. Kuzmichev
Russian Federation
LEBEDEV Aleksandr V. – PhD (Agriculture), Associate Professor of the department of Agricultural Reclamation
127434. Timiryazevskaya str. 49. Moscow
References
1. Andrés H., Jorge F., Ulises D. Dynamic Stand Model for Eucalyptus globulus (L.) in Uruguay. Agrociencia Uruguay, 2018, no. 22(1), pp. 63–80. DOI: 10.31285/agro.22.1.7.
2. Borisov A.N., Ivanov V.V., Petrenko A.E. The estimation of pine stand's response to thinning in Krasnoyarsk forest-steppe. Forest Science, 2014, no. 4, pp. 22–27. (In Russ.)
3. Dancheva A.V., Gurskaya M.A., Zalesov S.V., Mukanov B.M. Assessment of cleaning cuttings efficiency in pine forests of Kazakhstan hillocks based on forestry and annual rings analyses. Forest Science. 2020, no. 6, pp. 503–514. DOI: 10.31857/S0024114820060030. (In Russ.)
4. Diéguez-Aranda U., Dorado F.C., González J.G.Á., Alboreca A.R. Dynamic growth model for Scots pine (Pinus sylvestris L.) plantations in Galicia (north-western Spain). Ecological Modelling, 2006, no. 191, pp. 225–242. DOI: 10.1016/j.ecolmodel.2006.04.026.
5. Dubenok N.N., Kuzmichev V.V., Lebedev A.V. Forest area dynamics of the Forest experimental district of Russian Timiryazev State Agrarian University over a period of 150 years. Izvestiya of Timiryazev Agricultural Academy, 2018, no. 4, pp. 5–19. DOI: 10.26897/0021-342X-2018-4-5-19. (In Russ.)
6. Dubenok N.N., Kuzmichev V.V., Lebedev A.V. The results of experimental work over 150 years in the Forest experimental district of the Timiryazev Academy. RSAUMTAA. Moscow: Nauka, 2020. 382 p. (In Russ.)
7. Gómez-García E., Crecente-Campo F., Tobin B., Hawkins M., Nieuwenhuis M., Diéguez-Aranda U. A dynamic volume and biomass growth model system for evenaged downy birch stands in south-western Europe. Forestry, 2014, no. 87, pp. 165–176. DOI: 10.1093/forestry/cpt045.
8. Hernández-Cuevas M., Santiago-García W., De los Santos-Posadas H.M., Martínez-Antúnez P., Ruiz-Aquino F. Models of dominant height growth and site indexes for Pinus ayacahuite Ehren. Agrociencia, 2018, no. 52, pp. 437–453.
9. Hevia A., Vilčko F., Álvarez-González J.G. Dynamic stand growth model for Norway spruce forests based on long-term experiments in Germany. Recursos Rurais, 2013, no. 9, pp. 45–54.
10. Hlyustov V.K., Lebedev A.V., Ustinov M.M. Programming of optimal forest regime of stand use by type of forests. Forestry bulletin, 2016, no. 5, pp. 78–84. (In Russ.)
11. Huang S., Yang Y., Wang Y. A critical look at procedures for validating growth and yield models. Modelling Forest Systems. UK, Oxfordshire, Wallingford: CAB International, 2003, pp. 271–293.
12. Kuzmichev V.V. Forest Stands Dynamics Regularities: Principles and Models. Novosibirsk: Nauka Publ., 2013. 208 p. (In Russ.)
13. Lebedev A.V. Predicting growth by average height of pine plantations using a generalized algebraic difference approach. Izvestia Sankt-Peterburgskoj Lesotehniceskoj Akademii, 2022, iss. 238, pp. 49–66. DOI: 10.21266/2079-4304.2022.238.49-66. (In Russ.)
14. Lebedev A.V., Gostev V.V. Removal of nutrients from the soil by pine plantations of different initial density and development of recommendations for fertilizer application. Izvestia Sankt-Peterburgskoj Lesotehniceskoj Akademii, 2020, iss. 232, pp. 6–19. DOI: 10.21266/2079- 4304.2020.232.6-19. (In Russ.)
15. Lebedev A.V., Kuzmichev V.V. Stand Site Index Scale Development Using the Generalized Algebraic Difference Approach. Siberian Journal of Forest Science, 2022, no. 3.. DOI: 10.15372/SJFS20220307. (In Russ.)
16. Mason E.G. Growth and yield modelling in New Zealand. Chilean research consortium, BIOCOMSAAt. Chile: Valdivia, 2011.
17. Merzlenko M.D. Coniferous Forest crops wave growth theory grounding. Forestry bulletin, 2021, no. 25(2), pp. 5–9. DOI 10.18698/2542-1468-2021-2-5-9. (In Russ.)
18. Monserud R.A., Sterba H. Modeling individual tree mortality for Austrian forest species. For. Ecol. Manage, 1999, no. 113(2–3), pp. 109–123.
19. Naumov V.D., Povetkina N.L., Lebedev A.V., Gemonov A.V. Geographical pine plantations in the Forest Experimental Station of the Timiryazev Academy: to the 180th anniversary of M.K. Tursky. Moscow: MESKh, 2019. 182 p. (In Russ.)
20. Sennov S.N. Effect of thinning on the final growing stock of stand. Proceedings of the Saint Petersburg Forestry Research Institute, 2012, no. 1-2, pp. 8–10. (In Russ.)
21. Thapa R., Burkhart H.E. Modeling Stand-Level Mortality of Loblolly Pine (Pinus taeda L.) Using Stand, Climate, and Soil Variables. Forest Science, 2015, no. 61, pp. 1–13. DOI: 10.5849/forsci.14-125.
22. Vanclay J.K. Growth models for tropical forests: A synthesis of models and methods. Forest Science, 1995, vol. 41, no. 1, pp. 7–42. (In Russ.)
23. Zalesov S.V., Magassumova A.G., Zalesova E.S. Cleaning cutting optimization in the piny wood of the Middle Urals. Forestry Bulletin, 2007, no. 8, pp. 18–21. (In Russ.)
Review
For citations:
Dubenok N.N., Lebedev A.V., Kuzmichev V.V. The dynamic model of pine crops thinning. Izvestia Sankt-Peterburgskoj lesotehniceskoj akademii. 2022;(239):6-21. (In Russ.) https://doi.org/10.21266/2079-4304.2022.239.6-21