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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
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    Citations

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    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. 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).
    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. Damgaard, Christian, 2008. "Modelling pin-point plant cover data along an environmental gradient," Ecological Modelling, Elsevier, vol. 214(2), pages 404-410.
    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.

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