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Fractal measures of spatial pattern as a heuristic for return rate in vegetative systems
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Irvine, Michael Alastair, Jackson, E. L., Kenyon, Emma J., Cook, Kevan J., Keeling, Matthew James and Bull, J. C. (2016) Fractal measures of spatial pattern as a heuristic for return rate in vegetative systems. Royal Society Open Science , 3 (3). pp. 1-11. 150519. doi:10.1098/rsos.150519
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Official URL: http://dx.doi.org/10.1098/rsos.150519
Abstract
Measurement of population persistence is a long-standing problem in ecology; in particular, whether it is possible to gain insights into persistence without long time-series. Fractal measurements of spatial patterns, such as the Korcak exponent or boundary dimension, have been proposed as indicators of the persistence of underlying dynamics. Here we explore under what conditions a predictive relationship between fractal measures and persistence exists. We combine theoretical arguments with an aerial snapshot and time series from a long-term study of seagrass. For this form of vegetative growth, we find that the expected relationship between the Korcak exponent and persistence is evident at survey sites where the population return rate can be measured. This highlights a limitation of the use of power-law patch-size distributions and other indicators based on spatial snapshots. Moreover, our numeric simulations show that for a single species and a range of environmental conditions that the Korcak–persistence relationship provides a link between temporal dynamics and spatial pattern; however, this relationship is specific to demographic factors, so we cannot use this methodology to compare between species.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QH Natural history | ||||||||
| Divisions: | Faculty of Science > Centre for Complexity Science Faculty of Science > Life Sciences (2010- ) Faculty of Science > Mathematics |
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| Library of Congress Subject Headings (LCSH): | Population biology | ||||||||
| Journal or Publication Title: | Royal Society Open Science | ||||||||
| Publisher: | The Royal Society Publishing | ||||||||
| ISSN: | 2054-5703 | ||||||||
| Official Date: | 30 March 2016 | ||||||||
| Dates: |
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| Volume: | 3 | ||||||||
| Number: | 3 | ||||||||
| Number of Pages: | 11 | ||||||||
| Page Range: | pp. 1-11 | ||||||||
| Article Number: | 150519 | ||||||||
| DOI: | 10.1098/rsos.150519 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access | ||||||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||||||
| Is Part Of: |
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