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A new nearest-neighbour index for monitoring spatial size diversity: The hyperbolic tangent index

Pommerening, Arne and Szmyt, Janusz and Zhang, Gongqiao (2020). A new nearest-neighbour index for monitoring spatial size diversity: The hyperbolic tangent index. Ecological Modelling. 435 , 109232
[Research article]

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Understanding natural mechanisms of maintaining diversity is a crucial pre-requisite for successfully mitigating adverse effects of climate change such as the loss of diversity. To make such an understanding possible, both experiments and an effective, continued monitoring of diversity are required. Recently spatial measures of plant diversity have greatly contributed to the quality of diversity monitoring. In this article, we first reviewed existing principles of nearest-neighbour index construction and on this basis introduced a new spatially explicit size diversity index that is based on trigonometry, i.e. the hyberbolic tangent index. We discussed the index' mathematical reasoning by explaining its relationship to individual-based modelling and to other size diversity construction principles. Then we demonstrated the usefulness of the hyperbolic tangent index in indicating important interspecific relationships in mixed-species forest ecosystems. As part of studying the behaviour of the new size diversity construction principle we additionally found that there is a high correlation between the hyberbolic tangent index and absolute growth rates, i.e. the index is suitable both as a diversity and a competition index. Finally a detailed correlation analysis in a Norway spruce forest ecosystem with tree densities between 590 and 3800 trees per hectare made us understand that in most cases 7-10 neighbours are sufficient to consider when calculating the hyperbolic tangent index for explaining absolute growth rates. When using the index as an indicator of plant diversity only, smaller numbers of nearest neighbours may suffice. The index is straightforward to apply even, if the monitoring system used involves small circular sample plots.

Authors/Creators:Pommerening, Arne and Szmyt, Janusz and Zhang, Gongqiao
Title:A new nearest-neighbour index for monitoring spatial size diversity: The hyperbolic tangent index
Series Name/Journal:Ecological Modelling
Year of publishing :2020
Article number:109232
Number of Pages:9
Publication Type:Research article
Article category:Scientific peer reviewed
Version:Published version
Copyright:Creative Commons: Attribution 4.0
Full Text Status:Public
Subjects:(A) Swedish standard research categories 2011 > 1 Natural sciences > 106 Biological Sciences (Medical to be 3 and Agricultural to be 4) > Ecology
Keywords:Spatial size diversity, Indicator construction principles, Size diversity maintenance, Climate change, Individual-based modelling, Mixed-species woodlands, Trigonometry
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Additional ID:
Type of IDID
Web of Science (WoS)000575085700011
ID Code:18026
Faculty:S - Faculty of Forest Sciences
Department:(S) > Dept. of Forest Ecology and Management
Deposited By: SLUpub Connector
Deposited On:02 Nov 2020 09:23
Metadata Last Modified:15 Jan 2021 19:45

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