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Why Does Not the Leaf Weight-Area Allometry of Bamboos Follow the 3/2-Power Law?
Lin, Shuyan; Shao, Lijuan; Hui, Cang; Song, Yu; Reddy, Gadi V. P.; Gielis, Johan; Li, Fang; Ding, Yulong; Wei, Qiang; Shi, Peijian
2018
Source PublicationFRONTIERS IN PLANT SCIENCE
ISSN1664-462X
Volume9Issue:xPages:-
AbstractThe principle of similarity (Thompson, 1917) states that the weight of an organism follows the 3/2-power law of its surface area and is proportional to its volume on the condition that the density is constant. However, the allometric relationship between leaf weight and leaf area has been reported to greatly deviate from the 3/2-power law, with the irregularity of leaf density largely ignored for explaining this deviation. Here, we choose 11 bamboo species to explore the allometric relationships among leaf area (A), density (rho), length (L), thickness (T), and weight (W). Because the edge of a bamboo leaf follows a simplified two-parameter Gielis equation, we could show that A proportional to L-2 and that A proportional to T-2. This then allowed us to derive the density-thickness allometry rho proportional to T-b and the weight-area allometryW proportional to A((b3)/2) approximate to A(9/8), where b approximates -3/4. Leaf density is strikingly negatively associated with leaf thickness, and it is this inverse relationship that results in the weight-area allometry to deviate from the 3/2-power law. In conclusion, although plants are prone to invest less dry mass and thus produce thinner leaves when the leaf area is sufficient for photosynthesis, such leaf thinning needs to be accompanied with elevated density to ensure structural stability. The findings provide the insights on the evolutionary clue about the biomass investment and output of photosynthetic organs of plants. Because of the importance of leaves, plants could have enhanced the ratio of dry material per unit area of leaf in order to increase the efficiency of photosynthesis, relative the other parts of plants. Although the conclusion is drawn only based on 11 bamboo species, it should also be applicable to the other plants, especially considering previous works on the exponent of the weight-area relationship being less than 3/2 in plants.
Department其他
KeywordAllometry Gielis Equation Natural Logarithm Proportionality Reduced Major Axis
Language英语
Document Type期刊论文
Identifierhttp://ir.xtbg.org.cn/handle/353005/10869
Collection其他
Recommended Citation
GB/T 7714
Lin, Shuyan,Shao, Lijuan,Hui, Cang,et al. Why Does Not the Leaf Weight-Area Allometry of Bamboos Follow the 3/2-Power Law?[J]. FRONTIERS IN PLANT SCIENCE,2018,9(x):-.
APA Lin, Shuyan.,Shao, Lijuan.,Hui, Cang.,Song, Yu.,Reddy, Gadi V. P..,...&Shi, Peijian.(2018).Why Does Not the Leaf Weight-Area Allometry of Bamboos Follow the 3/2-Power Law?.FRONTIERS IN PLANT SCIENCE,9(x),-.
MLA Lin, Shuyan,et al."Why Does Not the Leaf Weight-Area Allometry of Bamboos Follow the 3/2-Power Law?".FRONTIERS IN PLANT SCIENCE 9.x(2018):-.
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