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A New Model for Size-Dependent Tree Growth in Forests

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  • Masae Iwamoto Ishihara
  • Yasuo Konno
  • Kiyoshi Umeki
  • Yasuyuki Ohno
  • Kihachiro Kikuzawa

Abstract

Tree growth, especially diameter growth of tree stems, is an important issue for understanding the productivity and dynamics of forest stands. Metabolic scaling theory predicted that the 2/3 power of stem diameter at a certain time is a linear function of the 2/3 power of the initial diameter and that the diameter growth rate scales to the 1/3 power of the initial diameter. We tested these predictions of the metabolic scaling theory for 11 Japanese secondary forests at various growth stages. The predictions were not supported by the data, especially in younger stands. Alternatively, we proposed a new theoretical model for stem diameter growth on the basis of six assumptions. All these assumptions were supported by the data. The model produced a nearly linear to curvilinear relationship between the 2/3 power of stem diameters at two different times. It also fitted well to the curvilinear relationship between diameter growth rate and the initial diameter. Our model fitted better than the metabolic scaling theory, suggesting the importance of asymmetric competition among trees, which has not been incorporated in the metabolic scaling theory.

Suggested Citation

  • Masae Iwamoto Ishihara & Yasuo Konno & Kiyoshi Umeki & Yasuyuki Ohno & Kihachiro Kikuzawa, 2016. "A New Model for Size-Dependent Tree Growth in Forests," PLOS ONE, Public Library of Science, vol. 11(4), pages 1-18, April.
    • Handle: RePEc:plo:pone00:0152219
    DOI: 10.1371/journal.pone.0152219
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    References listed on IDEAS

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    1. Brian J. Enquist & Geoffrey B. West & Eric L. Charnov & James H. Brown, 1999. "Allometric Scaling of Production and Life History Variation in Vascular Plants," Working Papers 99-10-072, Santa Fe Institute.
    2. Brian J. Enquist & Geoffrey B. West & Eric L. Charnov & James H. Brown, 1999. "Allometric scaling of production and life-history variation in vascular plants," Nature, Nature, vol. 401(6756), pages 907-911, October.
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    Cited by:

    1. Martynas Narmontas & Petras Rupšys & Edmundas Petrauskas, 2020. "Construction of Reducible Stochastic Differential Equation Systems for Tree Height–Diameter Connections," Mathematics, MDPI, vol. 8(8), pages 1-21, August.
    2. Barbosa, Lorena Oliveira & dos Santos, Juscelina Arcanjo & Gonçalves, Anny Francielly Ataide & Campoe, Otávio Camargo & Scolforo, José Roberto Soares & Scolforo, Henrique Ferraço, 2023. "Competition in forest plantations: Empirical and process-based modelling in pine and eucalypt plantations," Ecological Modelling, Elsevier, vol. 483(C).

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