Simulating defects in the horizontal structure of forest stands
Abstract
А wild forest is 'filled' with defects (or gaps) of various kinds, such as glades, clearings, cuttings, forest roads. The models of dynamic processes in the forest, which are connected with the appearance and disappearance of vacancies in the horizontal forest structure are considered. Two types of the models that describe the processes of appearance and disappearance of such vacancies are presented. The conditions under which the existence of stable states with small number of vacancies is possible are discussed.
The kinetic model considers processes of appearance and disappearance of vacancies as stationary with constant values of the probabilities of the appearance and disappearance. It is shown that the kinetic model with independent intensities of transitions has no restrictions on the number of vacancies in the forest, which is not consistent with the field data.
The optimizing model of the weakly imperfect gas of vacancies assumes that the condition of an individual tree depends on its interaction with other trees and with vacancies. Vacancies themselves do not interact because they are rare and separated by vast distances. The model introduces an optimization function as the characteristic of the dieback risk of a stand, and it is assumed that the existing evolutionary processes select ecosystems with the density of vacancies at which the system has minimal loss risk. It is shown that the dieback risk of the trees in a stand is minimal if the number of vacancies in the stand is much less than the number of trees.
About the Authors
V. G. Sukhovol'sky
Sukachev Institute of Forest SB RAS; Federal Research Center 'Krasnoyarsk Science Center of the Siberian Branch of the Russian Academy of Sciences'
Russian Federation
Russian Federation
50/28, Akademgorodok, Krasnoyarsk, 660036; 50, Akademgorodok, Krasnoyarsk, 660036
Yu. V. Zakharov
Reshetnev Siberian State University of Science and Technology
Russian Federation
Russian Federation
31, Krasnoyarskii Rabochii prospekt, Krasnoyarsk, 660037
A. V. Kovalev
Federal Research Center 'Krasnoyarsk Science Center of the Siberian Branch of the Russian Academy of Sciences'
Russian Federation
Russian Federation
50, Akademgorodok, Krasnoyarsk, 660036
References
1. Buzykin A.I., Gavrikov V.L., Sekretenko O.P., Hlebopros R.G. Analiz struktury drevesnyh cenozov (Analysis of the structure of tree cenoses). Novosibirsk : Nauka. 1985. 94 s. (In Russ.)
2. Vasilevich V. I. Statisticheskie metody v geobotanike (Statistical Methods in Geobotany). L. : Nauka. Leningr. otd-nie, 1969. 232 s. (In Russ.)
3. Grabarnik P.Ya. Analiz gorizontal'noj struktury drevostoya: model'nyj podhod (Analysis of the horizontal structure of the forest stand: a model approach) // Lesovedenie. 2010. № 2. S. 77–85. (In Russ.)
4. Grejg-Smit P. Kolichestvennaya ekologiya rastenij (Quantitative plant ecology). 1.: 1ir, 1976. 778 s. (In Russ.)
5. Karev G.P. Ergodicheskie svojstva stacionarnyh sostoyanij lesnyh ekosistem (Ergodic Properties of Stationary States of Forest Ecosystems) // Problemy ekologicheskogo monitoringa i modelirovaniya ekosistem. S-Pb.: Gidrometeoizdat, 1999. Vyp. 17. S. 122–141. (In Russ.)
6. Kislov D.E., Priluckij A.N., Brizhataya A.A. Statisticheskij analiz neodnorodnosti gorizontal'noj struktury drevostoev (Statistical analysis of the heterogeneity of the horizontal structure of forest stands) // Povolzhskij ekologicheskij zhurnal. 2015. № 3. S. 268–276. (In Russ.)
7. Kleman M., Lavrentovich O.D. Osnovy fiziki chastichno uporyadochennyh sred (Fundamentals of physics of partially ordered media). M. : Fizmatlit. 2007. 680 s. (In Russ.)
8. Klejnrok L. Teoriya massovogo obsluzhivaniya (Queuing Theory). M. : Mashinostroenie. 1979. 432 s. (In Russ.)
9. Tihonov V.I., Mironov M.A. Markovskie process (Markov chains). M. : Sovetskoe radio, 1977. 488 s. (In Russ.)
10. Omel'ko A.M., Uhvatkina O.N. Osobennosti gapdinamiki v hvojno-shirokolistvennom lesu Yuzhnogo SihoteAlinya (Peculiarities of Gap-Dynamics in the Coniferous-Broad-leaved Forest of Southern SikhoteAlin) // Rastitel'nyj mir Aziatskoj Rossii, 2012, № 1(9), S. 106–113. (In Russ.)
11. Botkin О.B., Janak J.F., Wallis J.R. (1972). Some ecological consequences of a computer model of forest growth// J. of Ecology, 1972. P. 849–872.
12. Bugmann Н. А review of forest gap models // Climatic Change. 2001. 51(3-4), P. 259–305.
13. Ishikawa Y., Krestov P.V., Namikawa K. Оisturbance history and tree establishment in old-growth Pinus koraiensis hardwood forests in the Russian Far East // /J. Vegetation Sci. 1999. Vol. 10. P. 439–448.
14. McCarthy J. Gap dynamics of forest trees: a review with particular attention to boreal forests // Environ. Rev. 2001. Vol. 9. P. 1–59.
15. Prentice l.C., Leemans R. Pattern and process and the dynamics of forest structure: a simulation approach // J. of Ecology, 1990. P. 340–355.
16. Ripley B.О. Spatial statistics. New York : John Willey and Sons, 2004. 252 p.
17. Shugart Н.Н. А theory of forest dynamics. The ecological implications of forest succession models. Springer-Verlag. 1984.
18. Yamamoto S.-l. The gap theory in forest Dynamics // Bot. Magaz. 1992. Vol. 105. P. 375–383.
19. Yamamoto S.-l. Gap characteristics and gap regeneration in subalpine old-growth coniferous forests, Central Japan // Ecol. Rec. 1995. Vol. 10. P. 31–39.
Review
For citations:
Sukhovol'sky V.G., Zakharov Yu.V., Kovalev A.V. Simulating defects in the horizontal structure of forest stands. Conifers of the boreal area. 2022;40(7):583-588.
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