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Proportional relationship between leaf area and the product of leaf length and width of four types of special leaf shapes

Citation

Shi, P and Liu, M and Yu, X and Gielis, J and Ratkowsky, DA, Proportional relationship between leaf area and the product of leaf length and width of four types of special leaf shapes, Forests, 10, (2) Article 178. ISSN 1999-4907 (2019) [Refereed Article]


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Copyright Statement

Copyright 2019 The Authors. Licensed under Creative Commons Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/

DOI: doi:10.3390/f10020178

Abstract

The leaf area, as an important leaf functional trait, is thought to be related to leaf length and width. Our recent study showed that the Montgomery equation, which assumes that leaf area is proportional to the product of leaf length and width, applied to different leaf shapes, and the coefficient of proportionality (namely the Montgomery parameter) range from 1/2 to π/4. However, no relevant geometrical evidence has previously been provided to support the above findings. Here, four types of representative leaf shapes (the elliptical, sectorial, linear, and triangular shapes) were studied. We derived the range of the estimate of the Montgomery parameter for every type. For the elliptical and triangular leaf shapes, the estimates are π/4 and 1/2, respectively; for the linear leaf shape, especially for the plants of Poaceae that can be described by the simplified Gielis equation, the estimate ranges from 0.6795 to π/4; for the sectorial leaf shape, the estimate ranges from 1/2 to π/4. The estimates based on the observations of actual leaves support the above theoretical results. The results obtained here show that the coefficient of proportionality of leaf area versus the product of leaf length and width only varies in a small range, maintaining the allometric relationship for leaf area and thereby suggesting that the proportional relationship between leaf area and the product of leaf length and width broadly remains stable during leaf evolution.

Item Details

Item Type:Refereed Article
Keywords:allometric relationship, leaf area formula, linear regression, Montgomery equation, simplified Gielis equation
Research Division:Biological Sciences
Research Group:Plant Biology
Research Field:Plant Physiology
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Biological Sciences
UTAS Author:Ratkowsky, DA (Dr David Ratkowsky)
ID Code:131582
Year Published:2019
Web of Science® Times Cited:6
Deposited By:TIA - Research Institute
Deposited On:2019-03-25
Last Modified:2019-04-24
Downloads:7 View Download Statistics

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