Abstract
To gain a better understanding of growth curve, biomass duration in several growth models, such as the exponential, linear, Gompertz, Mitscherlich, logistic, Richards and Bertalanffy, is formulated. Generally, biomass duration in these models can be given in two ways; thet- andw-representations. The latter representation, which can be defined as the summed value of reciprocal of relative growth rate with respect to biomass, gives a new significance to biomass duration. The utility of both representations is exemplified by the observed data of a fir. The idea of biomass duration is extended to get total amounts of anabolism and catabolism in the Bertalanffy model.
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References
Bertalanffy, L. von. 1949. Problems of organic growth. Nature163: 156–158.
Hagihara, A. andK. Hozumi. 1986. An estimate of the photosynthetic production of individual trees in aChamaecyparis obtusa plantation. Tree Physiol.1: 9–20.
——. 1987. An appratus for determing the CO2 gas exchange of a forest tree in the field. Bull. Nagoya Univ. For. No.9: 32–36.
Hirano, S. andT. Kira. 1965. Influence of autotoxic exudation on the growth of higher plants at different densities (Intraspecific competition among higher plants XII). J. Biol. Osaka City Univ.16: 7–44.
Hozumi, K. 1985. Phase diagrammatic approach to the analysis of growth curve using theu-w diagram—Basic aspects—. Bot. Mag. Tokyo98: 239–250.
— 1987. Analysis of growth curve of stem volume in some woody species using theu-w diagram. Bot. Mag. Tokyo100: 87–97.
Hunt, R. 1982. Plant Growth Curves. The Functional Approach to Plant Growth Analysis. Edward Arnold, London.
Kira, T. andT. Shidei. 1967. Primary production and turnover of organic matter in different forest ecosystems of the western Pacific. Jap. J. Ecol.17: 70–87.
Kvêt, J. andJ.P. Ondok. 1971. The significance of biomass duration. Photosynthetica5: 417–420.
Linder, S.B., J. Nordstöm, E. Parsby, E. Syndbom andE. Troeng. 1980. A gas exchange system for field measurements of photosynthesis and transpiration in a 20-year-old stand of Scots pine. Swed. Conif. For. Proj. Tech. Rep.23: 1–34.
Lyr, H., H. Polster andH.-J. Fielder. 1967. Gehölzphysiologie. Veb Gustav Fischer Verlag, Jena.
Matsumoto, Y. 1985. A method for measuring photosynthesis and respiration rates of an intact crown in the field. Trans. Meet. Jap. For. Soc.96: 723–725 (in Japanese).
Miyaura, T. 1988. Death rate for leaves and branches of individual sugi (Cryptomeria japonica D. Don) tree. Trans. 99th Meet. Jap. For. Soc. (in press) (in Japanese).
—. 1985. Measurement of litterfall in a hinoki (Chamaecyparis obtusa S. et Z.) plantation by the clothing-trap method. J. Jap. For. Soc.67: 271–277.
— and —. 1988. Measurement of litterfall in a Japanese larch (Larix leptolepis Gordon) plantation by the cloth-trap method. J. Jap. For. Soc.70: 11–19.
Ninomiya, I. andK. Hozumi. 1981. Respiration of forest trees. (I). Measurement of respiration inPinus densi-thunbergii Uyeki by an enclosed standing tree method. J. Jap. For. Soc.63: 8–18.
Oberheittinger, F. 1970. Hypergeometric functions.In M. Abramowitz and I.A. Stegun, ed., Handbood of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, pp. 555–565. Dover Publ., New York.
Richards, F.J. 1959. A flexible growth function for empirical use. J. Exp. Bot.10: 290–300.
Shinozaki, K. 1962. Logistic theory of plant growth. D. Sc. Thesis, Kyoto University (in Japanese).
Watson, D.J. 1947. Comparative physiological studies on the growth of field crops. 1. Variation in net assimilation rate and leaf area between species and varieties, and within and between years. Ann. Bot.11: 41–76.
— 1952. The physiological basis of variation in yield. Advances in Agronomy4: 101–145.
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Hozumi, K. Biomass duration in growth models. Bot. Mag. Tokyo 102, 75–83 (1989). https://doi.org/10.1007/BF02488114
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DOI: https://doi.org/10.1007/BF02488114