IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v211y2008i3p403-410.html
   My bibliography  Save this article

Frequency distribution models for spatial patterns of vegetation abundance

Author

Listed:
  • Chen, Jun
  • Shiyomi, Masae
  • Hori, Yoshimichi
  • Yamamura, Yasuo

Abstract

In a plant community, measurements of the number of plant individuals, the number of binary occurrences, plant cover, and biomass per unit area have frequently been used to explain species composition and spatial variation. Studies have shown that frequency distribution can be expressed in several ways: the number of individuals can be expressed using the negative binomial distribution, the number of binary occurrences can be expressed using the beta-binomial distribution, plant cover can be expressed by the beta distribution, and biomass by the gamma distribution. In this study, we have mathematically clarified the relationships between these distributions and their biological relevance. We have also defined a spatial heterogeneity index for each of the above four methods of measurement. For each of these four distribution patterns, several-fitted examples of plant populations or communities, obtained from grassland surveys, are provided.

Suggested Citation

  • Chen, Jun & Shiyomi, Masae & Hori, Yoshimichi & Yamamura, Yasuo, 2008. "Frequency distribution models for spatial patterns of vegetation abundance," Ecological Modelling, Elsevier, vol. 211(3), pages 403-410.
  • Handle: RePEc:eee:ecomod:v:211:y:2008:i:3:p:403-410
    DOI: 10.1016/j.ecolmodel.2007.09.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380007004826
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ecolmodel.2007.09.017?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kathryn M. Irvine & T. J. Rodhouse & Ilai N. Keren, 2016. "Extending Ordinal Regression with a Latent Zero-Augmented Beta Distribution," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 21(4), pages 619-640, December.
    2. Damgaard, Christian, 2008. "Modelling pin-point plant cover data along an environmental gradient," Ecological Modelling, Elsevier, vol. 214(2), pages 404-410.
    3. Jakubowski, Wojciech & Szulczewski, Wiesław & Żyromski, Andrzej & Biniak-Pieróg, Małgorzata, 2016. "The estimation of basket willow (Salix viminalis) yield – New approach, Part II: Theoretical model and its practical application," Renewable and Sustainable Energy Reviews, Elsevier, vol. 66(C), pages 843-851.
    4. Chen, Jun & Shiyomi, Masae & Morita, Satoru, 2023. "Phytomass productivity of cutting and grazing grasslands with special reference to small-scale spatial variation in plant nutrient resources," Ecological Modelling, Elsevier, vol. 486(C).
    5. Guan, Qingqing & Chen, Jun & Wei, Zhicheng & Wang, Yuxia & Shiyomi, Masae & Yang, Yungui, 2016. "Analyzing the spatial heterogeneity of number of plant individuals in grassland community by using power law model," Ecological Modelling, Elsevier, vol. 320(C), pages 316-321.

    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:211:y:2008:i:3:p:403-410. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.