IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v372y2018icp64-69.html
   My bibliography  Save this article

Mathematical consideration of the age-related decline in leaf biomass in forest stands under the self-thinning law

Author

Listed:
  • Ogawa, Kazuharu

Abstract

In addition to the hypothetical trends proposed by Kira and Shidei (1967), Odum (1969) and Ryan et al. (1997, 2004), Oshima et al. (1958) observed a complicated age-related change in stand leaf biomass in Abies forests. To explain this change in stand leaf biomass theoretically, the age-related change in leaf biomass was modeled based on the following three assumptions after canopy closure: (i) the self-thinning law; (ii) expanded allometric scaling between the mean individual leaf mass and mean individual total mass; and (iii) the formulation of a logistic function for stand density change. The model successfully explained these three trends in forest stand leaf biomass and introduced expanded allometric scaling including the properties of the model based on simple allometric scaling proposed by Ogawa (2017). Therefore, the model developed here can generalize age-related changes in forest stand biomass better than the model proposed by Ogawa (2017).

Suggested Citation

  • Ogawa, Kazuharu, 2018. "Mathematical consideration of the age-related decline in leaf biomass in forest stands under the self-thinning law," Ecological Modelling, Elsevier, vol. 372(C), pages 64-69.
    • Handle: RePEc:eee:ecomod:v:372:y:2018:i:c:p:64-69
    DOI: 10.1016/j.ecolmodel.2018.01.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030438001830036X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2018.01.015?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Brian J. Enquist & James H. Brown & Geoffrey B. West, 1998. "Allometric Scaling of Plant Energetics and Population Density," Working Papers 98-11-104, Santa Fe Institute.
    2. Ogawa, Kazuharu, 2017. "Modeling age-related stand respiration changes in forest stands under the self-thinning law," Ecological Modelling, Elsevier, vol. 349(C), pages 62-68.
    3. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1997. "A General Model for the Origin of Allometric Scaling Laws in Biology," Working Papers 97-03-019, Santa Fe Institute.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Yanguang, 2014. "An allometric scaling relation based on logistic growth of cities," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 65-77.
    2. John J. Kineman & Krupanidhi Srirama & Jennifer Wilby & Bruce T. Milne, 2017. "Elements of a Holistic Theory to Meet the Sustainability Challenge," Systems Research and Behavioral Science, Wiley Blackwell, vol. 34(5), pages 553-563, September.
    3. Sorrell, Steve, 2015. "Reducing energy demand: A review of issues, challenges and approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 47(C), pages 74-82.
    4. Wolpert, David & Harper, Kyle, 2024. "The computational power of a human society: a new model of social evolution," SocArXiv qj83z, Center for Open Science.
    5. Tao, Yong & Lin, Li & Wang, Hanjie & Hou, Chen, 2023. "Superlinear growth and the fossil fuel energy sustainability dilemma: Evidence from six continents," Structural Change and Economic Dynamics, Elsevier, vol. 66(C), pages 39-51.
    6. David H. Wolpert & Kyle Harper, 2024. "The computational power of a human society: a new model of social evolution," Papers 2408.08861, arXiv.org.
    7. Chen, Yanguang, 2017. "Multi-scaling allometric analysis for urban and regional development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 673-689.
    8. Hendriks, A. Jan, 2007. "The power of size: A meta-analysis reveals consistency of allometric regressions," Ecological Modelling, Elsevier, vol. 205(1), pages 196-208.
    9. Peters, Ronny & Olagoke, Adewole & Berger, Uta, 2018. "A new mechanistic theory of self-thinning: Adaptive behaviour of plants explains the shape and slope of self-thinning trajectories," Ecological Modelling, Elsevier, vol. 390(C), pages 1-9.
    10. Song, Dong-Ming & Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2009. "Statistical properties of world investment networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2450-2460.
    11. Jiang Zhang & Lingfei Wu, 2013. "Allometry and Dissipation of Ecological Flow Networks," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-8, September.
    12. Ogawa, Kazuharu, 2009. "Mathematical analysis of change in forest carbon use efficiency with stand development: A case study on Abies veitchii Lindl," Ecological Modelling, Elsevier, vol. 220(11), pages 1419-1424.
    13. Ogawa, Kazuharu, 2017. "Modeling age-related stand respiration changes in forest stands under the self-thinning law," Ecological Modelling, Elsevier, vol. 349(C), pages 62-68.
    14. Harris, Lora A. & Brush, Mark J., 2012. "Bridging the gap between empirical and mechanistic models of aquatic primary production with the metabolic theory of ecology: An example from estuarine ecosystems," Ecological Modelling, Elsevier, vol. 233(C), pages 83-89.
    15. Chen, Yanguang & Wang, Yihan & Li, Xijing, 2019. "Fractal dimensions derived from spatial allometric scaling of urban form," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 122-134.
    16. Elliott, Robert J.R. & Sun, Puyang & Xu, Qiqin, 2015. "Energy distribution and economic growth: An empirical test for China," Energy Economics, Elsevier, vol. 48(C), pages 24-31.
    17. Giannetti, Biagio F. & Marcilio, Maria De Fatima D.F.B. & Coscieme, Luca & Agostinho, Feni & Liu, Gengyuan & Almeida, Cecilia M.V.B., 2019. "Howard Odum’s “Self-organization, transformity and information”: Three decades of empirical evidence," Ecological Modelling, Elsevier, vol. 407(C), pages 1-1.
    18. Wang, Cheng-Jun & Wu, Lingfei, 2016. "The scaling of attention networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 196-204.
    19. He, Ji-Huan & Liu, Jun-Fang, 2009. "Allometric scaling laws in biology and physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1836-1838.
    20. Christos Makriyannis, 2023. "How the Biophysical Paradigm Impedes the Scientific Advancement of Ecological Economics: A Transdisciplinary Analysis," Sustainability, MDPI, vol. 15(23), pages 1-24, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecomod:v:372:y:2018:i:c:p:64-69. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/ecological-modelling .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.