Inhomogeneous models of tree stand self-thinning

Ecological Modelling

Volumn 160, Issue 1-2, 2003, Pages 23-37

  Karev, G P ^a,b,c  

^a NATIONAL INSTITUTES OF HEALTH   (United States)

^b Ctr of Forest E/P of R A of S   (Russian Federation)

^c NONE   (United States)

Author keywords

Distributed Malthusian parameter; Inhomogeneous population dynamics; Self thinning

Indexed keywords

ECOLOGICAL MODELING; FOREST DYNAMICS; MORTALITY; POPULATION MODELING; SELF THINNING;

EID: 0037301553     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3800(02)00287-9     Document Type: Article

References (37)

1. Bossel, H., 1986. Dynamics of forest dieback: system analysis and simulation. Ecol. Model. 34, 259-288.
2. Botkin, D.B., 1993. Forest Dynamics. An Ecological Model. Oxford University Press, Oxford, NY, p. 309.
3. Franklin, J.F., Shugart, H.H., Harmon, M.E., 1987. Tree death as ecological process. BioScience 27, 550-556.
4. Ford, E.D., Sorrensen, K.A., 1991. Theory and models of interplant competition as a spatial process. In: DeAngelis, D.L., Gross, L.S. (Eds.), Individual-Based Models and Approaches in Ecology: Populations, Communities and Ecosystems. Chapman and Hall, New York, pp. 363-407.
5. Huston, M.A., DeAngelis, D., 1994. Competition and coexistence: the effects of resource transport and supply rates. Am. Nat. 144, 954-977.
6. Galitsky, V.V., Komarov, A.S., 1987. Discrete models of plant populations. In: Samarsky, A.A. (Ed.), Mathematical Modelling. Nonlinear Systems(in Russian). Nauka, Moscow, pp. 59-103.
7. Karev, G.P., 2000a. Dynamics of a non-uniform population. In: International Conference EQUADIFF-99, Berlin, vol. 2. World Scientific, Singapore, pp. 1217-1220.
8. Karev, G.P., 2000b. The effects of non-heterogeneity in population dynamics. Dokl. Math. 62 (1), 141-145.
9. Karev, G.P., Berezovskaya, F.S., 2001. The 'Schmalgausent law' and mathematical models of tree population self-thinning. Biol. Syst., submitted for publication.
10. Karev, G.P., Scomorovsky, Yu., 1997. Mathematical models of tree stand self-thinning. Lesovedenie 4, 14-20(in Russian).
11. Li, B.-L., Wu, H., Zou, G., 2000. Self-thinning rule: a causal interpretation from ecological field theory. Ecol. Model. 132, 167-173.
12. Lonsdale, W.M., 1990. The self-thinning rule: dead or alive? Ecology 71, 1373-1388.
13. Manion, P.D., 1981. Tree Desease Concepts. Prentice Hill, Englewood Cliffs, NJ, p. 399.
14. Mou, P., Mitchell, R.J., Jones, R.H., 1993. Ecological field theory model: a mechanistic approach to simulate plant-plant interactions in south-eastern forest ecosystems. Can. J. Forest Res. 23, 2180-2193.
15. Ogawa, K., 2001. Time trajectories of mass and density in a Chamaecyparis obtuse seeding population. Forest Ecol. Manag, 142, 291-296.
16. Pacala, S.W., Silander, J.A., 1985. Neighborhood models of plant population dynamics. I. Single species models of annuals. Am. Nat. 125, 385-411.
17. Pedersen, B.S., 1998. Modeling tree mortality in response to short- and long-term environmental stresses. Ecol. Model. 105, 347-351.
18. Poletaev, I.A., 1980. On the Schmalgausent's development formula. Izvestiia Sibirskogo Otdeleniia Akademii Nauk SSSR, Seriia Biologicheskih Nauk, 5 (1), 77-86 (in Russian).
19. Post, W.M., Pastor, J., 1990. An individual-based forest ecosystem model for projecting forest response to nutrient cycling and climate changes. In: Wensel, L.C., Biging, G.S. (Eds.), Forest Simulation Systems. University of California, Division of Agriculture and Natural Resources, Bull 1927, pp. 61-74.
20. Prentice, I.C., Leemans, R., 1990. Pattern and process and the dynamics of forest structure: a simulation approach. J. Ecol. 78, 340-355.
21. Reineke, L.H., 1933. Perfecting a stand-density index for evenaged forests. J. Agric. Res. 46, 627-638.
22. Shugart, H.H., 1984. Theory of Forest Dynamics. Springer, Berlin, p. 278.
23. Shugart, H.H., 1992. System Analysis of the Boreal Forests. Springer, New York, p. 265.
24. Takahashi, M., Mukouda, M., Koono, K., 2000. Differences in genetic structure between two Japanese beech (Fagus crenata Blume) stands. Heredity 84 (Pt. 1), 103-115.
25. Tang, S., Meng, C.H., Wang, Y.H., 1994. A growth and self-thinning model for pure even-aged mixed-species stands. Forest Ecol. Manage. 70, 67-73.
26. Terskov, I.A., Terskova, M.I., 1980. Growth of Even Aged Stands(in Russian). Nauka, Novosibirsk, p. 206.
27. Uranov, A.A., 1965. Phytogenic field. In: Problems of Soviet Botany. Proceedings of 3rd All-Union Botanical Congress(in Russian). Nauka, Moscow, pp. 251-254.
28. Weiner, J., 1982. A neighborhood model of annual-plant interference. Ecology 63, 1237-1241.
29. Weiner, J., 1990. Asymmetric competition in plant populations. Trends Ecol. Evol. 5, 360-364.
30. Weller, D.E., 1987. A revaluation of the -3/2 power rule of plant self-thinning. Ecol. Monogr. 57, 23-43.
31. White, J., 1981. The allometric interpretation of the self-thinning rule. J. Theor. Biol. 89, 475-500.
32. Xue, L., Ogawa, K., Hagihara, A., Liang, S., Bai, J., 1999. Self-thinning exponents based on the allometric model in Chinese pine and Prince Rupprecht's larch. Forest Ecol. Manag. 117, 87-93.
33. Yoda, K., Kira, T., Ogawa, H., Hozumi, H., 1963. Self-thinning in overcrowded pure stands under cultivated and natural conditions, (Intraspecific competition among higher plants XI.). J. Biol. Osaka City Univ. 14, 107-129.
34. Zagreev, V.V., Baranov, A.F., Gusev, N.N., Moshkalev, A.G., Sukhih, V.I., Shvidenko, A.Z., 1992. Reference Book on All-Union Forest Growth Tables(in Russian). Kolos, Moscow, p. 495.
35. Zeide, B., 1987. Analysis of the 3/2 power law of self-thinning. Forest Sci. 33 (2), 517-537.
36. Zeide, B., 1995. A relationship between size of trees and their number. Forest Ecol. Manage. 72, 265-272.
37. Zou, G., Wu, H., 1995. Nearest-neighbour distribution of interacting biological entities. J. Theor. Biol. 172, 347-353.