Size change, shape change, and the growth space of a community
Measures of biodiversity change such as the Living Planet Index describe proportional change in the abundance of a typical species, which can be thought of as change in the size of a community. Here, I discuss the orthogonal concept of change in relative abundances, which I refer to as shape change....
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ftdatacite:10.48550/arxiv.1404.0942 2023-05-15T18:29:15+02:00 Size change, shape change, and the growth space of a community Spencer, Matthew 2014 https://dx.doi.org/10.48550/arxiv.1404.0942 https://arxiv.org/abs/1404.0942 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Populations and Evolution q-bio.PE FOS Biological sciences Preprint Article article CreativeWork 2014 ftdatacite https://doi.org/10.48550/arxiv.1404.0942 2022-04-01T13:06:26Z Measures of biodiversity change such as the Living Planet Index describe proportional change in the abundance of a typical species, which can be thought of as change in the size of a community. Here, I discuss the orthogonal concept of change in relative abundances, which I refer to as shape change. To be logically consistent, a measure of the rate of shape change should be scaling invariant (have the same value for all data with the same vector of proportional change over a given time interval), but existing measures do not have this property. I derive a new, scaling invariant measure. I show that this new measure and existing measures of biodiversity change such as the Living Planet Index describe different aspects of dynamics. I show that neither body size nor environmental variability need affect the rate of shape change. I extend the measure to deal with colonizations and extinctions, using the surreal number system. I give examples using data on hoverflies in a garden in Leicester, UK, and the higher plant community of Surtsey. I hypothesize that phylogenetically-restricted assemblages will show a higher proportion of size change than diverse communities. : 47 pages, 7 figures. Extensively revised version in response to reviewers' comments Report Surtsey DataCite Metadata Store (German National Library of Science and Technology) Surtsey ENVELOPE(-20.608,-20.608,63.301,63.301) Leicester ENVELOPE(-116.403,-116.403,55.717,55.717) |
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DataCite Metadata Store (German National Library of Science and Technology) |
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Populations and Evolution q-bio.PE FOS Biological sciences |
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Populations and Evolution q-bio.PE FOS Biological sciences Spencer, Matthew Size change, shape change, and the growth space of a community |
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Populations and Evolution q-bio.PE FOS Biological sciences |
description |
Measures of biodiversity change such as the Living Planet Index describe proportional change in the abundance of a typical species, which can be thought of as change in the size of a community. Here, I discuss the orthogonal concept of change in relative abundances, which I refer to as shape change. To be logically consistent, a measure of the rate of shape change should be scaling invariant (have the same value for all data with the same vector of proportional change over a given time interval), but existing measures do not have this property. I derive a new, scaling invariant measure. I show that this new measure and existing measures of biodiversity change such as the Living Planet Index describe different aspects of dynamics. I show that neither body size nor environmental variability need affect the rate of shape change. I extend the measure to deal with colonizations and extinctions, using the surreal number system. I give examples using data on hoverflies in a garden in Leicester, UK, and the higher plant community of Surtsey. I hypothesize that phylogenetically-restricted assemblages will show a higher proportion of size change than diverse communities. : 47 pages, 7 figures. Extensively revised version in response to reviewers' comments |
format |
Report |
author |
Spencer, Matthew |
author_facet |
Spencer, Matthew |
author_sort |
Spencer, Matthew |
title |
Size change, shape change, and the growth space of a community |
title_short |
Size change, shape change, and the growth space of a community |
title_full |
Size change, shape change, and the growth space of a community |
title_fullStr |
Size change, shape change, and the growth space of a community |
title_full_unstemmed |
Size change, shape change, and the growth space of a community |
title_sort |
size change, shape change, and the growth space of a community |
publisher |
arXiv |
publishDate |
2014 |
url |
https://dx.doi.org/10.48550/arxiv.1404.0942 https://arxiv.org/abs/1404.0942 |
long_lat |
ENVELOPE(-20.608,-20.608,63.301,63.301) ENVELOPE(-116.403,-116.403,55.717,55.717) |
geographic |
Surtsey Leicester |
geographic_facet |
Surtsey Leicester |
genre |
Surtsey |
genre_facet |
Surtsey |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1404.0942 |
_version_ |
1766212080451452928 |