Abstract
A parametric time-discrete model for the beaver population dynamics starting from their invasion (1948) to the present day (2011) in the Tadenka River basin is described. It is shown that the population size tends to a stationary state in the presence of a quasi-periodic component of 14–26 years. Model estimates for the dynamics suggest that the periodic component has a sawtooth shape with the number of beavers increasing from minimum to maximum in each period for 6 years and decreasing from maximum to minimum during the remaining part of the period. The oscillation amplitude of the quasi-periodic component is approximately six individuals and displays a weak trend of increase. It is assumed that further development of this beaver population will depend on many random events influencing the factors that control beaver population size, such as specific geomorphological features of the area, restoration rate of food resources in the abandoned habitats, scale of beaver settlement development, and its rate. Stability analysis of the stationary solution and assessment of the model adequacy suggest that the proposed discrete model is appropriate for quantitatively describing the dynamics of the local beaver populations in other areas depending on the availability of food resources.
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References
Afifi, A. and Azen, S., Statistical Analysis: A Computer Oriented Approach, New York: Academic, 1972.
Atlas kart Prioksko-Terrasnogo zapovednika (Atlas of Maps of Prioksko-Terrasnyi Nature Reserve), Bobrovskii, M.V. and Brynskikh, M.N., Eds., Pushchino: Biopress, 2005.
Barnes, D.M. and Mallik, A.U., Effect of Beaver, Castor canadensis, Herbivory on Streamside Vegetation in a Northern Ontario Watershed, Can. Field-Nat., 2001, vol. 115, no. 1, pp. 9–21.
Bobrov, V.V., Varshavskii, A.A., and Khlyap, L.A., Chuzherodnye vidy mlekopitayushchikh v ekosistemakh Rossii (Alien Species of Mammalians in Ecosystems of Russia), Moscow: KMK, 2008.
Borisov, B.P., The Beaver, in Sostoyanie okhotnich’ikh resursov v Rossiiskoi Federatsii v 2008–2010 gg. Informatsionno-analiticheskie materially (Assessment of Hunting Resurces in Russian Federation in 2008–2010); in Okhotnich’i zhivotnye Rossii (biologiya, okhrana, resursovedenie, ratsional’noe ispol’zovanie) (Hunting Animals of Russia (Biology, Protection, Resources, and Rational Use)), Moscow: Fizicheskaya Kul’tura, 2011, no. 9, pp. 86–90.
Cunningham, J.M., Calhoun, A.J.K., and Glanz, W.E., Pattern of Beaver Colonization and Wetland Change in Acadia National Park, Northeast. Nat., 2006, vol. 13, no. 4, pp. 583–596.
Dezhkin, V.V., D’yakov, Yu.V., and Safronov, V.G., Bobr (The Beaver), Moscow: Agropromizdat, 1986.
Goryainova, Z.I., Petrosyan, V.G., Zav’yalov, N.A., and Pankova, N.L., Models of the Beaver (Castor fiber L.) Local Population Dynamics, in Matematicheskoe modelirovanie v ekologii. Materialy Vtoroi Natsional’noi konferentsii s mezhdunarodnym uchastiem, 23–27 maya 2011 g. (Proceedings of the Second National Conference with International Participation on Mathematical Modeling in Ecology, May 23–27, 2011), Pushchino, 2011, pp. 78–80.
Grevtsev, V.I., The Beaver Resources in Russia: Current Tendencies and Regional Problems of Use, in Issledovaniya bobrov v Evrazii: sbornik nauchnykh trudov (Study of the Beavers in Eurasia: Collection of Scientific Works), Kirov, 2011, no. 1, pp. 35–39.
Gurney, W.S. and Lawton, J.H., The Population Dynamics of Ecosystem Engineers, Oikos, 1996, no. 76, pp. 273–283.
Hyvönen, T. and Nummi, P., Habitat Dynamics of Beaver Castor canadensis at Two Spatial Scales, Wildl. Biol., 2008, vol. 14, pp. 302–308.
Lavrov, L.S., Current Reserves of Beaver and Prospects of Beaver Farming in ISSR, in Trudy Voronezhskogo gosudarstvennogo zapovednika (Transactions of Voronezh State Nature Reserve), Voronezh: Tsentr.-Chernozem. Knizh. Izd., 1975, vol. 1, no. 21, pp. 4–17.
Martell, K.A., Lee Foote, A., and Cumming, S.G., Riparian Disturbance Due to Beavers: Castor canadensis in Alberta’s Boreal Mixedwood Forests: Implications for Forest Management, Ecoscience, 2006, vol. 113, no. 2, pp. 164–171.
McMaster, R.T. and McMaster, N.D., Composition, Structure, and Dynamics of Vegetation in Fifteen Beaver-Impacted Wetlands in Western Massachusetts, RHODORA, 2001, vol. 103, no. 915, pp. 293–320.
Remillard, M.M., Gruendling, G.K., and Bogucki, D.J., Disturbance by Beaver (Castor canadensis Kuhl.) and Increased Landscape Heterogeneity, in Ecology Studies: Landscape Heterogeneity and Disturbance, Springer, 1987, vol. 64, pp. 104–121.
Safronov, V.G. and Savel’ev, A.P., The Beavers of CIS Countries: Resources, Translocations, and Hunting, in Trudy Pervogo Evro-Amerikanskogo kongressa po bobru (Trudy Volzhsko-Kamskogo gos. prir. zapovednika) (Transactions of First European-American Congress on the Beaver (Transactions of Volga-Kama State Nature Reserve)), Gorshkov, Yu.P. and Busher, P.E., Eds., Kazan: Matbugat Iorty, 2001, pp. 27–38.
Terwillinger, J. and Pastor, J., Small Mammals, Ectomycorrhizae, and Conifer Succession in Beaver Meadows, Oikos, 1999, vol. 85, no. 1, pp. 83–94.
Wright, J.P., Gurney, W.C.S., and Jones, C.G., Patch Dynamics in Landscape Modified by Ecosystems Engineers, Oikos, 2004, no. 105, pp. 336–348.
Zablotskaya, L.V., The Beavers Inhabiting Small Left-Bank Tributaries of Oka River, Zool. Zh., 1955, vol. 34, no. 3, pp. 679–682.
Zablotskaya, L.V., Introduction of Hunting Animals and Birds in South of Moscow Oblast, in Ekosistemy yuzhnogo Podmoskov’ya (Ecosystems of South of Moscow Oblast), Nazarov, A.G. and Zablotskaya, L.V., Eds., Moscow: Nauka, 1979, pp. 198–233.
Zav’yalov, N.A., Dynamics of Food Reserves for Beavers in Settlements Passed the Several Habitation Cycles, Povolozhsk. Ekol. Zh., 2012, no. 2, pp. 196–207.
Zav’yalov, N.A., Al’bov, S.A., Petrosyan, V.G., Khlyap, L.A., and Goryainova, Z.I., Invasion of Ecosystem Engineer—The European Beaver (Castor fiber)—In the Tadenka River Basin (Prioksko-Terrasnyi Nature Reserve). Rus. J. Biol. Inv., 2010, vol. 1, no. 4, pp. 267–281.
Zharkov, I.V., Renew of the Beaver Resources, in Trudy Voronezhskogo gosudarstvennogo zapovednika (Proceedings of Voronezh State Nature Reserve), Voronezh: Tsentr.-Chenozem. Knizh. Izd., 1969, no. 16, pp. 10–51.
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Original Russian Text © V.G. Petrosyan, V.V. Golubkov, Z.I. Goryainova, N.A. Zav’yalov, S.A. Al’bov, L.A. Khlyap, Yu.Yu. Dgebuadze, 2012, published in Rossiiskii Zhurnal Biologicheskikh Invasii, 2012, No. 3, pp. 44–60.
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Petrosyan, V.G., Golubkov, V.V., Goryainova, Z.I. et al. Modeling of the Eurasian beaver (Castor fiber L.) population dynamics in the basin of a small Oka River tributary, the Tadenka River (Prioksko-Terrasnyi Nature Reserve). Russ J Biol Invasions 4, 45–53 (2013). https://doi.org/10.1134/S2075111713010086
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DOI: https://doi.org/10.1134/S2075111713010086