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タイトル: A lognormal distribution of the lengths of terminal twigs on self-similar branches of elm trees
著者: Koyama, Kohei
Yamamoto, Ken
Ushio, Masayuki
キーワード: allometry
fractal
phenotypic plasticity
shoot size
stochastic process
WBE theory
発行日: 11-Jan-2017
出版者: Royal Society
誌名: Proceedings of The Royal Society B-Biological Sciences
巻: 284
号: 1846
開始ページ: 20162395
抄録: Lognormal distributions and self-similarity are characteristics associated with a wide range of biological systems. The sequential breakage model has established a link between lognormal distributions and self-similarity and has been used to explain species abundance distributions. To date, however, there has been no similar evidence in studies of multicellular organismal forms. We tested the hypotheses that the distribution of the lengths of terminal stems of Japanese elm trees (Ulmus davidiana), the end products of a self-similar branching process, approaches a lognormal distribution. We measured the length of the stem segments of three elm branches and obtained the following results: (i) each occurrence of branching caused variations or errors in the lengths of the child stems relative to their parent stems; (ii) the branches showed statistical self-similarity; the observed error distributions were similar at all scales within each branch and (iii) the multiplicative effect of these errors generated variations of the lengths of terminal twigs that were well approximated by a lognormal distribution, although some statistically significant deviations from strict lognormality were observed for one branch. Our results provide the first empirical evidence that statistical self-similarity of an organismal form generates a lognormal distribution of organ sizes.
URI: http://ir.obihiro.ac.jp/dspace/handle/10322/4577
DOI: info:doi/10.1098/rspb.2016.2395
ISSN: 0962-8452
出現コレクション:01C01学術雑誌論文

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