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New indices to balance α-diversity against tree size inequality

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The number and composition of species in a community can be quantified with α-diversity indices,including species richness(R),Simpson's index(D),and the Shannon-Wiener index(H').In forest communities,there are large variations in tree size among species and individu-als of the same species,which result in differences in eco-logical processes and ecosystem functions.However,tree size inequality(TSI)has been largely neglected in studies using the available diversity indices.The TSI in the diameter at breast height(DBH)data for each of 999 20 m × 20 m forest census quadrats was quantified using the Gini index(GI),a measure of the inequality of size distribution.The generalized performance equation was used to describe the rotated and right-shifted Lorenz curve of the cumulative pro-portion of DBH and the cumulative proportion of number of trees per quadrat.We also examined the relationships ofα-diversity indices with the GI using correlation tests.The generalized performance equation effectively described the rotated and right-shifted Lorenz curve of DBH distribu-tions,with most root-mean-square errors(990 out of 999 quadrats)being＜0.0030.There were significant positive correlations between each of three α-diversity indices(i.e.,R,D,and H')and the GI.Nevertheless,the total abundance of trees in each quadrat did not significantly influence the GI.This means that the TSI increased with increasing spe-cies diversity.Thus,two new indices are proposed that can balance α-diversity against the extent of TSI in the com-munity:(1-GI)×D,and(1-GI)×H'.These new indices were significantly correlated with the original D and H',and did not increase the extent of variation within each group of indices.This study presents a useful tool for quantifying both species diversity and the variation in tree sizes in forest communities,especially in the face of cumulative species loss under global climate change.

Diameter at breast height(DBH)Gini indexShannon-Wiener indexSimpson's indexQuadratTree size

Li Zhang、Brady K.Quinn、Cang Hui、Meng Lian、Johan Gielis、Jie Gao、Peijian Shi

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College of Ecology and Environment,Bamboo Research Institute,Nanjing Forestry University,159 Longpan Road,Nanjing 210037,People's Republic of China

Fisheries and Oceans Canada,Andrews Biological Station,125 Marine Science Drive,St.Andrews,NB E5B 0E4,Canada

Department of Mathematical Sciences,Centre for Invasion Biology,Stellenbosch University,Matieland 7602,South Africa

Mathematical and Physical Biosciences,African Institute for Mathematical Sciences,Cape Town 7945,South Africa

Department of Biosciences Engineering,University of Antwerp,B-2020 Antwerp,Belgium

College of Life Science,Xinjiang Normal University,102 Xinyi Road,Urumqi 830054,People's Republic of China

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国家自然科学基金

32101260

2024

10.1007/s11676-023-01686-3

林业研究(英文版)
东北林业大学,中国生态学学会

林业研究(英文版)

CSTPCDEI
影响因子：0.365
ISSN：1007-662X
年,卷(期)：2024.35(1)
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