The competition-density (C-D) effect for given times and self-thinning over time in even-aged, natural, pure stands of Pinus densiflora Sieb. et Zucc. were analyzed with the reciprocal equation of the C-D effect in self-thinning stands, and the equation describing the time-trajectory of mean stem volume and stand density. The C-D effect and self-thinning were consistently well explained by the two equations. Differences in mean stem volume and in stand density among the stands tended to merge with increasing stand age. The self-thinning line with a slope of approximately –3/2 was reached by the higher density stand prior to the medium and lower density stands. The skewness of tree height distribution showed positive values, which means that the distribution is more or less L-shaped, and in addition the skewness decreased with increasing mean tree height, which indicates that smaller trees died as the stands grew. This trend is consistent with the asymmetric (one-sided) competition hypothesis that self-thinning is driven by competition for light. The tree height distribution was analyzed using the Weibull distribution. The location parameter h min of the Weibull distribution increased with increasing stand age, and the scale parameter a tended to increase slightly with increasing stand age. The range of the shape parameter b of the Weibull distribution corresponded to that of the skewness.
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REFERENCES
Ando, T. (1962) Growth analysis on the natural stands of Japanese red pine (Pinus densiflora SIEB. et ZUCC.). II. Analysis of stand density and growth. Bulletin of the Forestry and Forest Products Research Institute, Tokyo 147: 45--77 (in Japanese with English summary).
Bailey, R. L. & Dell, T. R. (1973) Quantifying diameter distributions with the Weibull function. Forest Science 19: 97--104.
Bazzaz, F. A. & Harper, J. L. (1976) Relationship between plant weight and numbers in mixed populations of Sinapsis alba (L.) Rabenh. & Lepidium sativum L. Journal of Applied Ecology 13: 211--216.
Begon, M., Harper, J. L. & Townsend, C. R. (1996) Ecology: Individuals, Populations and Communities. Blackwell Science, Oxford.
Benjamin, L. R. & Hardwick, R. C. (1986) Sources of variation and measures of variability in even-aged stands of plants. Annals of Botany 58: 757--778.
Bleasdale, J. K. A. (1967) The relationship between the weight of a plant part and total weight as affected by plant density. Journal of Horticultural Science 42: 51--58.
Bleasdale, J. K. A. & Nelder, J. A. (1960) Plant population and crop yield. Nature 188: 342.
Farazdaghi, H. & Harris, P. M. (1968) Plant competition and crop yield. Nature 217: 289--290.
Ford, E. D. (1975) Competition and stand structure in some even-aged plant monocultures. Journal of Ecology 63: 311--333.
Givnish, T. J. (1986) Biomechanical constraints on self-thinning in plant populations. Journal of Theoretical Biology 119: 139--146.
Hagihara, A. (1996a) Logistic theory of the density effect in self-thinning populations. Bulletin of the Nagoya University Forest 15: 31--50 (in Japanese with English summary).
Hagihara, A. (1996b) Theoretical studies on the time-trajectory of mean plant weight and density in self-thinning populations. Bulletin of the Nagoya University Forest 15: 51--67 (in Japanese with English summary).
Hara, T. (1984) A stochastic model and the moment dynamics of the growth and size distribution in plant populations. Journal of Theoretical Biology 109: 173--190.
Harms, W. R. & Langdon, Q. G. (1976) Development of loblolly pine in dense stands. Forest Science 22: 331--337.
Hatiya, K., Takeuchi, I. & Tochiaki, K. (1989) Primary productivity of high density stands in Pinus densiflora SIEB. et ZUCC. Bulletin of the Forestry and Forest Products Research Institute 354: 39--97 (in Japanese with English summary).
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. Botanical Magazine, Tokyo 90: 165--179.
Hozumi, K. (1980) Ecological and mathematical considerations on self-thinning in even-aged pure stands. II. Growth analysis of self-thinning. Botanical Magazine, Tokyo 93: 149--166.
Hozumi, K., Asahira, T. & Kira, T. (1956) Intraspecific competition among higher plants. VI. Effect of some growth factors on the process of competition. Journal of the Institute of Polytechnics, Osaka City University, Series D 7: 15--34.
Hutchings, M. J. (1997) The structure of plant populations. In: Plant Ecology (Ed. M. J. Crawley) pp. 325--358. Blackwell Science, Oxford.
Mohler, C. L., Marks, P. L. & Sprugel, D. G. (1978) Stand structure and allometry of trees during self-thinning of pure stands. Journal of Ecology 66: 599--614.
Nelder, J. A. (1962) New kinds of systematic designs for spacing experiments. Biometrics 18: 283--307.
Ogawa, H. (1980) Structures and Function of Populations. Asakura-shotenn, Tokyo (in Japanese).
Shinozaki K. (1961) Logistic Theory of Plant Growth. PhD thesis. Kyoto University, Kyoto (in Japanese).
Shinozaki, K. & Kira, T. (1956) Intraspecific competition among higher plants. VII. Logistic theory of the C-D effect. Journal of the Institute of Polytechnics, Osaka City University, Series D 7: 35--72.
Silvertown, J. W. & Doust, J. L. (1993) Introduction to Plant Population Biology. Blackwell Science, Oxford.
Tadaki, Y. (1963) The pre-estimation of stem yield based on the competition-density effect. Bulletin of the Forestry and Forest Products Research Institute 154: 1--19 (in Japanese with English summary).
Tadaki, Y., Takeuchi, I., Kawahara, T., Sato, A. & Hatiya, K. (1979) Growth analysis on the natural stands of Japanese red pine (Pinus densiflora SIEB. et ZUCC.). III. Results of experiment (Research note). Bulletin of the Forestry and Forest Products Research Institute 305: 125--144 (in Japanese).
Vandermeer, J. (1984) Plant competition and the yield-density relationship. Journal of Theoretical Biology 109: 393--399.
Watkinson, A. R. (1980) Density-dependence in single-species populations of plants. Journal of Theoretical Biology 83: 345--357.
Watkinson, A. R. (1984) Yield-density relationships: the influence of resource availability on growth and self-thinning in populations of Vulpia fasciculata. Annals of Botany 53: 469--482.
Weiner, J. & Whigham, D. F. (1988) Size variability and self-thinning in wild-rice (Zizania aquatica). American Journal of Botany 75: 445--448.
Westoby, M. & Howell, J. (1986) Influence of population structure on self-thinning of plant populations. Journal of Ecology 74: 343--359.
White, J. (1981) The allometric interpretation of the self-thinning rule. Journal of Theoretical Biology 89: 475--500.
White, J. & Harper, J. L. (1970) Correlated changes in plant size and number in plant populations. Journal of Ecology 58: 467--485.
Xue, L. & Hagihara, A. (1998) Growth analysis on the self-thinning stands of Pinus densiflora Sieb. et Zucc. Ecological Research 13: 183--191.
Xue, L., Hagihara, A., Tadaki, Y. & Du, X. (1997) Self-thinning in Prince Rupprecht’s larch (Larix principis-rupprechtii Mayr) stands. Journal of Forest Research 2: 221--226.
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.). Journal of Biology, Osaka City University 14: 107--129.
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Xue, L., Hagihara, A. Density effect, self-thinning and size distribution in Pinus densiflora Sieb. et Zucc. stands. Ecol Res 14, 49–58 (1999). https://doi.org/10.1046/j.1440-1703.1999.141284.x
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DOI: https://doi.org/10.1046/j.1440-1703.1999.141284.x