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Inequality Measure of Leaf Area Distribution for a Drought-Tolerant Landscape Plant
Measuring the inequality of leaf area distribution per plant (ILAD) can provide a useful tool for quantifying the influences of intra- and interspecific competition, foraging behavior of herbivores, and environmental stress on plants’ above-ground architectural structures and survival strategies. De...
Autores principales: | , , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10490070/ https://www.ncbi.nlm.nih.gov/pubmed/37687388 http://dx.doi.org/10.3390/plants12173143 |
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author | Huang, Lichao Ratkowsky, David A. Hui, Cang Gielis, Johan Lian, Meng Yao, Weihao Li, Qiying Zhang, Liuyue Shi, Peijian |
author_facet | Huang, Lichao Ratkowsky, David A. Hui, Cang Gielis, Johan Lian, Meng Yao, Weihao Li, Qiying Zhang, Liuyue Shi, Peijian |
author_sort | Huang, Lichao |
collection | PubMed |
description | Measuring the inequality of leaf area distribution per plant (ILAD) can provide a useful tool for quantifying the influences of intra- and interspecific competition, foraging behavior of herbivores, and environmental stress on plants’ above-ground architectural structures and survival strategies. Despite its importance, there has been limited research on this issue. This paper aims to fill this gap by comparing four inequality indices to measure ILAD, using indices for quantifying household income that are commonly used in economics, including the Gini index (which is based on the Lorenz curve), the coefficient of variation, the Theil index, and the mean log deviation index. We measured the area of all leaves for 240 individual plants of the species Shibataea chinensis Nakai, a drought-tolerant landscape plant found in southern China. A three-parameter performance equation was fitted to observations of the cumulative proportion of leaf area vs. the cumulative proportion of leaves per plant to calculate the Gini index for each individual specimen of S. chinensis. The performance equation was demonstrated to be valid in describing the rotated and right shifted Lorenz curve, given that >96% of root-mean-square error values were smaller than 0.004 for 240 individual plants. By examining the correlation between any of the six possible pairs of indices among the Gini index, the coefficient of variation, the Theil index, and the mean log deviation index, the data show that these indices are closely related and can be used interchangeably to quantify ILAD. |
format | Online Article Text |
id | pubmed-10490070 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-104900702023-09-09 Inequality Measure of Leaf Area Distribution for a Drought-Tolerant Landscape Plant Huang, Lichao Ratkowsky, David A. Hui, Cang Gielis, Johan Lian, Meng Yao, Weihao Li, Qiying Zhang, Liuyue Shi, Peijian Plants (Basel) Communication Measuring the inequality of leaf area distribution per plant (ILAD) can provide a useful tool for quantifying the influences of intra- and interspecific competition, foraging behavior of herbivores, and environmental stress on plants’ above-ground architectural structures and survival strategies. Despite its importance, there has been limited research on this issue. This paper aims to fill this gap by comparing four inequality indices to measure ILAD, using indices for quantifying household income that are commonly used in economics, including the Gini index (which is based on the Lorenz curve), the coefficient of variation, the Theil index, and the mean log deviation index. We measured the area of all leaves for 240 individual plants of the species Shibataea chinensis Nakai, a drought-tolerant landscape plant found in southern China. A three-parameter performance equation was fitted to observations of the cumulative proportion of leaf area vs. the cumulative proportion of leaves per plant to calculate the Gini index for each individual specimen of S. chinensis. The performance equation was demonstrated to be valid in describing the rotated and right shifted Lorenz curve, given that >96% of root-mean-square error values were smaller than 0.004 for 240 individual plants. By examining the correlation between any of the six possible pairs of indices among the Gini index, the coefficient of variation, the Theil index, and the mean log deviation index, the data show that these indices are closely related and can be used interchangeably to quantify ILAD. MDPI 2023-08-31 /pmc/articles/PMC10490070/ /pubmed/37687388 http://dx.doi.org/10.3390/plants12173143 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Communication Huang, Lichao Ratkowsky, David A. Hui, Cang Gielis, Johan Lian, Meng Yao, Weihao Li, Qiying Zhang, Liuyue Shi, Peijian Inequality Measure of Leaf Area Distribution for a Drought-Tolerant Landscape Plant |
title | Inequality Measure of Leaf Area Distribution for a Drought-Tolerant Landscape Plant |
title_full | Inequality Measure of Leaf Area Distribution for a Drought-Tolerant Landscape Plant |
title_fullStr | Inequality Measure of Leaf Area Distribution for a Drought-Tolerant Landscape Plant |
title_full_unstemmed | Inequality Measure of Leaf Area Distribution for a Drought-Tolerant Landscape Plant |
title_short | Inequality Measure of Leaf Area Distribution for a Drought-Tolerant Landscape Plant |
title_sort | inequality measure of leaf area distribution for a drought-tolerant landscape plant |
topic | Communication |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10490070/ https://www.ncbi.nlm.nih.gov/pubmed/37687388 http://dx.doi.org/10.3390/plants12173143 |
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