Abstract
For a description of the successional processes in forest coenoses and the spatial distribution of tree species, an approach using phase transitions models is proposed. We introduced a variable equation and phase transition models that describe processes in forest coenoses. The analysis showed that the model considering processes in the forest as second-order phase transitions is in good agreement with the field data. The model parameters can be calculated from the data of field observations and used for prognosis calculations of successional processes in a forest and the distribution of important tree species in high-altitude forests. The proposed approach to the modeling of dynamic processes in the forest as phase transitions is universal and it greatly simplifies the task of constructing models of forest dynamics.
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References
Bruce, A. and Cowley, R., Structural Phase Transitions, London: Taylor and Francis, 1981.
Carmel, Y., Kadmon, R., and Nirel, R., Spatiotemporal predictive models of Mediterranean vegetation dynamics, Ecol. Appl., 2001, vol. 11, pp. 268–280.
Guisan, A. and Zimmermann, N.E., Predictive habitat distribution models in ecology, Ecol. Model., 2000, vol. 135, pp. 147–186.
He, H.S., Mladenoff, D.J., and Crow, T.R., Linking an ecological model and a landscape model to study forest species response to climate warming, Ecol. Model., 1999, vol. 114, pp. 213–233.
Isaev, A.S., Soukhovolsky, V.G., Ovchinnikova, T.M., Mochalov, S.A., and Sotnichenko, D.I., Succession processes in forest cenosis: a second-order phase transition model, Lesovedenie, 2012, no. 3, pp. 3–11.
Isaev, A.S., Soukhovolsky, V.G., Buzykin, A.I., and Ovchinnikova, T.M., Succession in forest cenosises: a model of second-order phase transition, Zh. Obshch. Biol., 2009, vol. 70, no. 6, pp. 451–458.
Isaev, A.S., Soukhovolsky, V.G., and Khlebopros, R.G., Metamodel approaches to description of critical phenomena in forest ecosystems, Lesovedenie, 2010, no. 2, pp. 3–13.
Ismailova, D.M., Baboy, S.G., Gosteva, A.A., and Nazimova, D.I., GIS analyses of correlations between forest vegetation and relief by the example of barrier-rain landscapes of Western Sayan Mountains, Geoinformatika, 2011, no. 3, pp. 29–35.
Kairyukshtis, L., Nauchnye osnovy formirovaniya vysokoproduktivnykh selovo-listvennykh nasazhdenii (Scientific Principles of Formation of Highly-Productive Spruce-Larch Plantations), Leningrad: Lesn. Prom-st, 1969.
Komarov, A.S., Models of plant succession and soil dynamics at climate changes, Komp. Issled. Model., 2009, vol. 1, no. 4, pp. 405–413.
Komarov, A., Chertov, O., Zudin, S., Nadporozhskaya, M., Mikhailov, A., Bykhovets, S., Zudina, E., and Zoubkova, E., EFIMOD 2 — a model of growth and elements cycling in boreal forest ecosystems, Ecol. Model., 2003, vol. 170, nos. 2–3, pp. 373–392.
Lafon, C.W., Ice-storm disturbance and long-term forest dynamics in the Adirondack Mountains, J. Veg. Sci., 2004, vol. 15, pp. 267–276.
Landau, L.D., To the theory of phase transitions, Zh. Eksp. Teor. Fiz., 1937, vol. 7, p. 19.
Landau, L.D. and Lifshits, E.M., Statisticheskaya fizika (Statistical Physics), Moscow: Nauka, 1964.
Li, B.L., A theoretical framework of ecological phase transition for characterizing tree-grass dynamics, Acta Biotheor., 2002, vol. 50, pp. 141–154.
Logofet, D.O., Markov’s chains as succession models: new perspectives of the classic paradigm, Lesovedenie, 2010, no. 2, pp. 46–52.
Miller, C. and Urban, D.L., A model of surface fire, climate and forest pattern in the Sierra Nevada, California, Ecol. Model., 1999, vol. 114, pp. 113–135.
Patashinskii, A.Z. and Pokrovskii, V.L., Fluktuatsionnaya teoriya fazovykh perekhodov (Fluctuation Theory of Phase Transitions), Moscow: Nauka, 1982.
Perry, G.L.W. and Millington, J.D.A., Spatial modeling of succession-disturbance dynamics in forest ecosystems: concepts and examples, Persp. Plant Ecol., Evol., Syst., 2008, vol. 9, pp. 191–210.
Polikarpov, N.P., Chebakova, N.M., and Nazimova, D.I., Klimat i gornye lesa Yazhnoi Sibiri (Climate and Mountainous Forests of Southern Siberia), Novosibirsk: Nauka, 1986.
Ryzhkova, V.A., Korets, M.A., and Cherkashin, V.P., Estimating current forest ecosystem state, regeneration, and biodiversity using GIS technologies, Contemp. Probl. Ecol., 2004, no. 5, pp. 715–724.
Shugart, H.H., Terrestrial Ecosystems in Changing Environments: Cambridge Studies in Ecology, Cambridge: Cambridge Univ. Press, 1998.
Soukhovolsky, V.G., Iskhakov, T.R., and Tarasova, O.V., Optimizatsionnye modeli mezhpopulyatsionnykh vzaimodeistvii (Optimization Models of Interpopulation Interactions), Novosibirsk: Nauka, 2008.
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Original Russian Text © A.S. Isaev, T.M. Ovchinnikova, S.D. Baboi, V.G. Soukhovolsky, 2014, published in Sibirskii Ekologicheskii Zhurnal, 2014, Vol. 21, No. 3, pp. 345–354.
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Isaev, A.S., Ovchinnikova, T.M., Baboi, S.D. et al. Universality principle in second-order phase transition models for describing succession processes and spatial distribution of species in forests. Contemp. Probl. Ecol. 7, 261–267 (2014). https://doi.org/10.1134/S199542551403007X
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Keywords
- forest stands
- tree species
- succession
- high-altitude forest
- models
- phase transitions