Analysis of Variance in Vegetation Surveys Based on the Beta-binomial Distribution

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  • SHIYOMI Masae
    Ibaraki University, Graduate School of Science and Technology
  • YASUDA Taisuke
    Ibaraki University, Graduate School of Science and Technology
  • SASAKI Emi
    Ibaraki University, Graduate School of Science and Technology
  • TSUTSUMI Michio
    Land Ecology, Graduate School of Agricultural Science, Tohoku University
  • TSUIKI Mikinori
    Faculty of Agriculture, Iwate University
  • WANG Yusheng
    Grassland Research Station, College of Animal Sciences, National Northeast Agricultural University

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  • ベータ・二項分布にもとづく植生調査データの分散分析

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SHIYOMI et al. (2000) proposed a new method for surveying grassland vegetation and analyzing the surveyed data, based on the beta-binomial distribution. Using this method, we were able to estimate (1) the number of occurrences of each species observed per unit area (quadrat) in a grassland, (2) the degree of spatial heterogeneity for each species and for the whole community, and (3) the species diversity and its spatial distribution. In this paper, we develop a method for comparing the number of occurrences and the spatial heterogeneity between species which occur in the surveyed grassland. For this purpose, an analysis of variance (ANOVA) based on a random model was applied (adequate data-transformations are necessary for calculating statistical quantities). Using the error variance in the ANOVA, we can apply DUNCAN's method, SCHEFFE'S method, TUKEY's method for multiple comparisons between species and STUDENT'S t-test. This ANOVA will make it practical to analyse vegetation in grassland surveys.

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