Abstract
Density effects on the growth and self-thinning of Eucalyptus urophylla stands were examined for 7 years. The reciprocal equation of the competition-density (C–D) effect was used to describe the C–D effect in even-aged pure stands of E. urophylla during course of self-thinning and showed a good fit to the data. The time trajectories of mean stem volume-density nearly paralleled the y-axis during early growth stages of stands, and then began to curve left. Finally, the mean stem volume-density trajectories of the low-, middle- and high-density stands tended to follow the self-thinning lines with slopes of − 2.01, − 1.90 and − 1.99, respectively. With increasing physical time t, the biological time τ increased rapidly during early growth stages and became slow gradually during later growth stages. Realized density-initial density curves tended to become more or less flat with increasing initial density, indicating the existence of an asymptotic value for density at a given time. The coefficient ε, the reciprocal of which represents the asymptotic density at a given time, increased with increasing biological time τ, indicating that the asymptotic density decreased with increasing stand age. Final yield Y(t) increased gradually with increasing stand age.
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Baldwin VC Jr, Peterson KD, Clark A III, Ferguson RB, Strub MR, Bower DR (2000) The effects of spacing and thinning on stand and tree characteristics of 38-year-old loblolly pine. For Ecol Manage 137:91–102
Begon M, Harper JL, Townsend CR (1996) Ecology: individuals, populations and communities. Blackwell Science, Oxford
Bleasdale JKA (1967) The relationship between the weight of a plant part and total weight as affected by plant density. J Hortic Sci 42:51–58
Bleasdale JKA, Nelder JA (1960) Plant population and crop yield. Nature 188:342
Burkes EC, Will RE, Barron-Gafford GA, Teskey RO, Shiver B (2003) Biomass partitioning and growth efficiency of intensively managed Pinus taeda and Pinus elliottii stands of different planting densities. For Sci 49(2):224–234
Cole E, Newton M (1987) Fifth-year response of Douglas-fir to crowding and non-coniferous competition. Can J For Res 17:181–186
Farazdaghi H, Harris PM (1968) Plant competition and crop yield. Nature 217:289–290
Giordano PA, Hibbs DE (1993) Morphological response to competition in red alder: the role of water. Funct Ecol 7:462–468
Hagihara A (1996a) Logistic theory of the density effect in self-thinning populations. Bull Nagoya Univ For 15:31–50
Hagihara A (1996b) Theoretical studies on the time-trajectory of mean plant weight and density in self-thinning populations. Bull Nagoya Univ For 15:51–67
Hagihara A (1998) A practical model for the time-trajectory of mean phytomass and density in the development of even-aged pure stands. J For Plann 4:65–69
Hagihara A (1999) Theoretical considerations on the C–D effect in self-thinning plant populations. Res Popul Ecol 41:151–159
Hozumi K (1977) Ecological and mathematical considerations on self-thinning in even-aged pure stands. I. Mean plant weight-density trajectory during the course of self-thinning. Bot Mag Tokyo 90:165–179
Jack SB, Long JN (1996) Linkages between silviculture and ecology: an analysis of density management diagrams. For Ecol Manage 86:205–220
Knowe SA, Hibbs DE (1996) Stand structure of young red alder as affected by plant density. For Ecol Manage 82:69–85
Lanner RM (1985) On the insensitivity of height growth to spacing. For Ecol Manage 13:143–148
Minowa M (1982) A theoretical approach to forest growth model. I. The log-Mitscherlich theory. J Jpn For Soc 64:461–467 (in Japanese with English summary)
Mohler CL, Marks PL, Sprugel DG (1978) Stand structure and allometry of trees during self-thinning of pure stands. J Ecol 66:599–614
Naito K (1992) Studies on forest growth modeling. Bull Utsunomiya Univ For 28:1–95 (in Japanese with English summary)
Nelder JA (1962) New kinds of systematic designs for spacing experiments. Biometrics 18:283–307
Norberg RA (1988) Theory of growth geometry of plants and self-thinning of plant populations: geometric similarity, elastic similarity, and different growth models of plant parts. Am Nat 131:220–256
Ogawa K (2001) Time trajectories of mass and density in a Chamaecyparis obtusa seedling population. For Ecol Manage 142:291–296
Ogawa K (2005) Time-trajectory of mean phytomass and density during a course of self-thinning in a sugi (Cryptomeria japonica D. Don) plantation. For Ecol Manage 214:104–110
Ogawa K, Hagihara A (2003) Self-thinning and size variation in a sugi (Cryptomeria japonica D. Don) plantation. For Ecol Manage 174:413–421
Pienaar LV, Shiver BD (1993) Early results from an old-field loblolly pine spacing study in the Georgia Piedmont with competition control. South J Appl For 17:193–196
Prasad JVNS, Korwar GR, Rao KV, Srinivas K, Rao CAR, Srinivasarao CH, Venkateswarlu B (2010) Effect of modification of tree density and geometry on intercrop yields and economic returns in Leucaena-based agro-forestry systems for wood production in Andhra Pradesh, Southern India. Exp Agric 46(2):155–172
Seidel KW (1984) A western larch-Engelmann spruce spacing study in eastern Oregon: results after 10 years. In: USDA Forest Service Note PNW-409
Shinozaki K (1961) Logistic theory of plant growth. Doctoral Thesis, Kyoto University, Kyoto (in Japanese)
Shinozaki K, Kira T (1956) Intraspecific competition among higher plants. VII. Logistic theory of the C–D effect. J Inst Polytech Osaka City Univ Ser D 7:35–72
Silvertown JW, Doust JL (1993) Introduction to plant population biology. Blackwell Science, Oxford
Solomon DS, Zhang LJ (2002) Maximum size-density relationships for mixed softwoods in the northeastern USA. For Ecol Manage 155:163–170
Tadaki Y (1995) Structure and productivity of young Castanopsis cuspidata forests growing in different stand densities. Bull Nagoya Univ For 14:1–24 (in Japanese with English summary)
Vandermeer J (1984) Plant competition and the yield-density relationship. J Theor Biol 109:393–399
Watkinson AR (1980) Density-dependence in single-species populations of plants. J Theor Biol 83:345–357
Watkinson AR (1984) Yield-density relationships: the influence of resource availability on growth and self-thinning in populations of Vulpia fasciculate. Ann Bot 53:469–482
Weller DE (1987a) Self-thinning exponent correlated with allometric measures of plant geometry. Ecology 68:813–821
Weller DE (1987b) A reevaluation of the −3/2 power rule of plant self-thinning. Ecol Monogr 57:23–43
White J (1981) The allometric interpretation of the self-thinning rule. J Theor Biol 89:475–500
Xue L, Hagihara A (1998) Growth analysis of the self-thinning stands of Pinus densiflora Sieb. et Zucc. Ecol Res 13:183–191
Xue L, Hagihara A (1999) Density effect, self-thinning and size distribution in Pinus densiflora Sieb. et Zucc. stands. Ecol Res 14:49–58
Xue L, Hagihara A (2001) Growth analysis on the competition-density effect in Chinese fir (Cunninghamia lanceolata) and Masson pine (Pinus massoniana) stands. For Ecol Manage 150:331–337
Xue L, Hagihara A (2002) Growth analysis on the C–D effect in self-thinning Masson pine (Pinus massoniana) stands. For Ecol Manage 165:249–256
Xue L, Hagihara A (2008) Density effects on tree organs in self-thinning Pinus densiflora Sieb. et Zucc. stands. Ecol Res 23:689–695
Xue L, Feng HF, Chen FX (2010) Time-trajectory of mean component weight and density in self-thinning Pinus densiflora stands. Eur J For Res 129:1027–1035
Yang WD, Zhong LS (1997) Researches on the experiment of planting densities for new introduction Eucalyptus urophylla. Eucalypt Sci Tech 14(2):37–41 (in Chinese)
Yoda K, Kira T, Ogawa H, Hozumi K (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
Zeide B (1985) Tolerance and self-tolerance of trees. For Ecol Manage 13:149–166
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Project funding: The study was partially supported by the Forestry Technology Popularization Demonstration Project of the Central Government of China (No. [2015]GDTK-07).
The online version is available at http://www.springerlink.com.
Corresponding editor: Chai Ruihai.
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Lie, Z., Xue, L. Density effect and self-thinning in Eucalyptus urophylla stands. J. For. Res. 30, 529–535 (2019). https://doi.org/10.1007/s11676-018-0685-7
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DOI: https://doi.org/10.1007/s11676-018-0685-7