A Theoretical Model of Pine Increment Stabilization in Biogroups
DOI:
https://doi.org/10.37482/0536-1036-2026-5-74-88Keywords:
Scots pine, Pinus sylvestris, linear increment, increment variability, stabilization, increment stabilization, biotopes, Markov chainsAbstract
The research is aimed at examining the time required for the variability stabilization of Scots pine radial growth increments in relation to stand structure, based both on a theoretical model and field data. The employed model is based on Markov chains and allows to assess the stabilization duration. Variation coefficients which smooth the climatic factors and tree age influence, are chosen as the studied model parameters. It is shown that the duration of pine increment variability stabilization depends on the number of dominants in the biogroups. It is found that stabilization slows down with an increase in the number of dominants. The theoretical results were verified at three specially protected natural areas (SPNA) with boreal phytocoenoses. Similarities and differences were revealed in the variability dynamics of growth rate parameters in different forest growth conditions. Stabilization of variability is observed for all biogroups of humid and fresh biotopes. In dry biotopes, no stabilization was observed within the study period; this is attributed to moisture deficit and increasing differentiation within the tree stands. The simulation result confirming that the process duration depends on the dominant tree number in the biogroups has been verified; and the coefficients of the corresponding trends are presented. The variability has been found to stabilize slower when the pines grow closer to the northern edge of their range. The obtained results can usefully be applied in the environmental monitoring of forest ecosystems to assess the response of tree stands to both climate change and anthropogenic pollution.
Funding: The study was carried out within the framework of the R&D topics AAAA-A20-120013190049-4 “Development of Methods and Technologies for Monitoring Environmental Pollution Due to Transboundary Transport of Pollutants (UNECE: EMEP, ICP IM) and Acid Deposition in East Asia (EANET)”.
For citation: Maksimova O.V., Koukhta A.E. A Theoretical Model of Pine Increment Stabilization in Biogroups. Lesnoy Zhurnal = Russian Forestry Journal, 2026, no. 5, pp. 74–88. (In Russ.). https://doi.org/10.37482/0536-1036-2026-5-74-88
Downloads
References
Алисов Б.П. Климат СССР. М.: Моск. ун-т, 1956. 128 с.
Alisov B.P. Climate of the USSR. Moscow, Moscovskiy universitet Publ., 1956. 128 p. (In Russ.).
Берг Л.С. Климат и жизнь. М.: Госиздат, 1922. 196 с.
Berg L.S. Climate and Life. Moscow, Gosizdat Publ., 1922. 196 p. (In Russ.).
Бурцев Д.С. Динамика ранговой структуры групповых культур сосны // Тр. С.-Петерб. науч.-исследоват. ин-та лесн. хоз-ва. 2012. № 1–2. С. 32–38.
Burtsev D.S. Dynamics Rang Structure of Group Pine Forest Plants. Proceedings of the Saint Petersburg Forestry Research Institute, 2012, no. 1–2, pp. 32–38. (In Russ.).
Кухта А.Е., Максимова О.В., Кузнецова В.В. Воздействие климатических факторов на приросты сосны обыкновенной (Pinus sylvestris L.) на побережье Кандалакшского залива Белого моря // Изв. вузов. Лесн. журн. 2023. № 4. С. 105–119.
Koukhta A.E., Maksimova O.V., Kuznetsova V.V. Influence of Climatic Factors on Scots Pine (Pinus sylvestris L.) Growth on the Coast of the Kandalaksha Bay of the White Sea. Lesnoy Zhurnal = Russian Forestry Journal, 2023, no. 4, pp. 105–119. (In Russ.). https://doi.org/10.37482/0536-1036-2023-4-105-119
Максимова О.В., Кухта А.Е. Статистическое обоснование оптимальности пятилетней нормы прироста линейных дендрохронологий для экологического мониторинга лесных экосистем // Экологические системы и приборы. 2024. № 6. С. 10–21.
Maksimova O.V., Koukhta A.E. Optimality Statistical Justification of Fiveyear Increment Norm of Linear Dendrochronologies for Forest Ecosystems Ecological Monitoring. Ekologicheskiye sistemy i pribory, 2024, no. 6, pp. 10–21. (In Russ.). https://doi.org/10.25791/esip.1.2024.1424
Максимова О.В., Кухта А.Е. Моделирование изменчивости приростов сосны в биогруппах с разной структурой // Экологические системы и приборы. 2025. № 3. С. 20–32.
Maksimova O.V., Koukhta A.E. Simulation the Variability of Pine Growth in Biogroups with Different Structure. Ekologicheskiye sistemy i pribory, 2025, no. 3, pp. 20–32. (In Russ.). https://doi.org/10.25791/esip.3.2025.1509
Максимова О.В., Кухта А.Е., Суслова С.Б. О стабилизации изменчивости приростов сосны обыкновенной в разных географических условиях Европейской территории России // Проблемы региональной экологии. 2023. № 1. С. 17–27.
Maksimova O.V., Kukhta A.E., Suslova S.B. On Growth Variability Stabilization of the Scots Pine in Different Geographical Conditions of the European Territory of Russia. Problemy regional’noy ekologii, 2023, no. 1, pp. 17–27. (In Russ.). https://doi.org/10.24412/1728-323X-2023-1-17-27
Маслаков Е.Л. Формирование сосновых молодняков. М.: Лесн. пром-сть, 1984. 165 с.
Maslakov E.L. Formation of Young Pine Stands. Moscow, Lesnaya promyshlenost’ Publ., 1984. 165 p. (In Russ.).
Мелехов И.С. Лесная типология. М: МЛТИ, 1976. 72 c.
Melekhov I.S. Forest Typology. Moscow, MLTI Publ., 1976. 72 p. (In Russ.).
Национальный атлас России / отв. ред. Г.В. Поздняк, Н.Н. Полункина, Н.В. Смурова Т. 1. М.: Роскартография, 2004. 496 с.
National Atlas of Russia. Ed. by G.V. Pozdnyak, N.N. Polunina, N.V. Smurova. Vol. 1. Moscow, Roskartografiya Publ., 2004. 496 p. (In Russ.).
Раменская М.Л. Анализ флоры Мурманской области и Карелии. Л.: Наука: Ленингр. отд-ние, 1983. 215 с.
Ramenskaya M.L. Analysis of the Flora in the Murmansk Region and Karelia. Leningrad, Leningradskoe otdelenie Nauka Publ., 1983. 215 p. (In Russ.).
Рогозин М.В. Площадь питания дерева: анализ методов // Бюл. науки и практики. 2018. Т. 4, № 7. С. 34–47.
Rogozin M.V. Nutrition Area of Tree: Analysis of Methods. Bulletin of Science and Practice, 2018, vol. 4, no. 7, pp. 34–47. (In Russ.). https://doi.org/10.5281/zenodo.1312153
Рогозин М.В. Биогруппы в старых насаждениях сосны // Вестн. Пермск. ун-та. Сер.: Биология. 2018. Вып. 2. С. 150–158.
Rogozin M.V. Biography in Old Stands of Pine. Bulletin of Perm University. Biology, 2018, iss. 2, pp. 150–158. (In Russ.). https://doi.org/10.17072/1994-9952-2018-2-150-158
Рогозин М.В., Разин Г.С. Поиски закономерностей для общей теории развития древостоев // Вестн. МГУЛ. – Лесн. вестн. 2015. Т. 19, № 6. С. 63–74.
Rogozin M.V., Razin G.S. Searching Regularities for the General Theory of Forest Stand Development. Lesnoy vestnik = Forestry Bulletin, 2015, vol. 19, no. 6, pp. 63–74. (In Russ.).
Руководство по комплексному мониторингу / пер. с англ. М.: ИГКЭ Росгидромета и РАН, 2013. Режим доступа: http://downloads.igce.ru/publications/ICP_IM_Manuals/Manual_rus_04122013.pdf (дата обращения: 02.09.24).
Guidelines to Integrated Monitoring. Transl. from English. Moscow, IGCE Roshydromet and RAS Publ., 2013. (In Russ.).
Сеннов С.Н. Итоги экспериментального изучения конкуренции в древостоях // Изв. С.-Петерб. лесотехн. акад. 1993. № 11. С. 160–172.
Sennov S.N. Results of an Experimental Study of Competition in Tree Stands. Izvestia Sankt-Peterburgskoj lesotehniceskoj akademii, 1993, no. 11, pp. 160–172. (In Russ.).
Сукачев В.Н. Избранные труды: в 3 т. Т. 1: Основы лесной типологии и биогеоценологии / под ред. Е.М. Лавренко. Л.: Наука, 1972. 419 с.
Sukachev V.N. Selected Papers: In 3 Vol. Vol. 1: Fundamentals of Forest Typology and Biogeocenology. Ed. E.M. Lavrenko. Leningrad, Nauka Publ., 1972. 419 p. (In Russ.).
Balzter H. Markov Chain Models for Vegetation Dynamics. Ecological Modelling, 2000, vol. 126, iss. 2–3, pp. 139–154. https://doi.org/10.1016/s0304-3800(00)00262-3
Kemeny J.G., Snell J.L. Finite Markov Chains. Princeton, NJ, D. Van Nostraand, 1960. 210 p.
Krajick K. All Downhill from Here? Science, 2004, vol. 303, no. 5664, pp. 1600–1602. https://doi.org/10.1126/science.303.5664.1600
Kullman L. 20th Century Climate Warming and Tree-Limit Rise in the Southern Scandes of Sweden. AMBIO: A Journal of the Human Environment, 2001, vol. 30(2), pp. 72–80. https://doi.org/10.1579/0044-7447-30.2.72
McClintock B.T., Langrock R., Gimenez O., Cam E., Borchers D.L., Glennie R., et al. Uncovering Ecological State Dynamics with Hidden Markov Models. Ecology Letters, 2020, vol. 23, iss. 12, pp. 1878–1903. https://doi.org/10.1111/ele.13610
Mosandl R., Freising F.P. Rationelle Pflege junger Eichenbestände. AFZ-DerWald, 2002, no. 11, pp. 581–584.
Pinus sylvestris L. (1753). Gymnosperm Database. Available at: https://www.conifers.org/pi/Pinus_sylvestris.php (accessed 21.03.22).
Shugart H.H., French N.H.F., Kasischke E.S., Slawski J.J., Dull C.W., Schuchman R.A., et al. Detection of Vegetation Change Using Reconnaissance Imagery. Global Change Biology, 2001, vol. 7, iss. 3, pp. 247–252. https://doi.org/10.1046/j.1365-2486.2001.00379.x
Strobel G. Eichen-Biogruppen. AFZ-DerWald, 2000, no. 8, pp. 390–398.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Maksimova O.V., Koukhta A.E.
This work is licensed under a Creative Commons Attribution 4.0 International License.
