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| Koyama, Kohei; Yamamoto, Ken; Ushio, Masayuki. |
| 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... |
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Palavras-chave: Allometry; Fractal; Phenotypic plasticity; Shoot size; Stochastic process; WBE theory. |
| Ano: 2017 |
URL: http://ir.obihiro.ac.jp/dspace/handle/10322/4577 |
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| Koyama, Kohei; Hidaka, Yoshiki; Ushio, Masayuki. |
| We investigated whole-plant leaf area in relation to ontogenetic variation in leaf-size for a forest perennial herb, Cardiocrinum cordatum. The 200-fold ontogenetic variability in C. cordatum leaf area followed a power-law dependence on total leaf number, a measure of developmental stage. When we normalized for plant size, the function describing the size of single leaves along the stem was similar among different-sized plants, implying that the different-sized canopies observed at different times in the growth trajectory were fundamentally similar to each other. We conclude that the growth trajectory of a population of C. cordatum plant leaves obeyed a dynamic scaling law, the first reported for a growth trajectory at the whole-plant level. |
| Ano: 2012 |
URL: http://ir.obihiro.ac.jp/dspace/handle/10322/4525 |
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