Slower recovery in space before collapse of connected populations

Slower recovery from perturbations near a tipping point and its indirect signatures in fluctuation patterns have been suggested to foreshadow catastrophes in a wide variety of systems. Recent studies of populations in the field and in the laboratory have used time-series data to confirm some of the...

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Main Authors: Dai, Lei, Korolev, Kirill Sergeevich, Gore, Jeff
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: Nature Publishing Group 2017
Online Access:http://hdl.handle.net/1721.1/108185
https://orcid.org/0000-0003-4583-8555
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author Dai, Lei
Korolev, Kirill Sergeevich
Gore, Jeff
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Dai, Lei
Korolev, Kirill Sergeevich
Gore, Jeff
author_sort Dai, Lei
collection MIT
description Slower recovery from perturbations near a tipping point and its indirect signatures in fluctuation patterns have been suggested to foreshadow catastrophes in a wide variety of systems. Recent studies of populations in the field and in the laboratory have used time-series data to confirm some of the theoretically predicted early warning indicators, such as an increase in recovery time or in the size and timescale of fluctuations. However, the predictive power of temporal warning signals is limited by the demand for long-term observations. Large-scale spatial data are more accessible, but the performance of warning signals in spatially extended systems needs to be examined empirically. Here we use spatially extended yeast populations, an experimental system with a fold bifurcation (tipping point), to evaluate early warning signals based on spatio-temporal fluctuations and to identify a novel spatial warning indicator. We found that two leading indicators based on fluctuations increased before collapse of connected populations; however, the magnitudes of the increases were smaller than those observed in isolated populations, possibly because local variation is reduced by dispersal. Furthermore, we propose a generic indicator based on deterministic spatial patterns, which we call ‘recovery length’. As the spatial counterpart of recovery time, recovery length is the distance necessary for connected populations to recover from spatial perturbations. In our experiments, recovery length increased substantially before population collapse, suggesting that the spatial scale of recovery can provide a superior warning signal before tipping points in spatially extended systems.
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spelling mit-1721.1/1081852022-10-02T02:51:10Z Slower recovery in space before collapse of connected populations Dai, Lei Korolev, Kirill Sergeevich Gore, Jeff Massachusetts Institute of Technology. Department of Physics Dai, Lei Korolev, Kirill Sergeevich Gore, Jeff Slower recovery from perturbations near a tipping point and its indirect signatures in fluctuation patterns have been suggested to foreshadow catastrophes in a wide variety of systems. Recent studies of populations in the field and in the laboratory have used time-series data to confirm some of the theoretically predicted early warning indicators, such as an increase in recovery time or in the size and timescale of fluctuations. However, the predictive power of temporal warning signals is limited by the demand for long-term observations. Large-scale spatial data are more accessible, but the performance of warning signals in spatially extended systems needs to be examined empirically. Here we use spatially extended yeast populations, an experimental system with a fold bifurcation (tipping point), to evaluate early warning signals based on spatio-temporal fluctuations and to identify a novel spatial warning indicator. We found that two leading indicators based on fluctuations increased before collapse of connected populations; however, the magnitudes of the increases were smaller than those observed in isolated populations, possibly because local variation is reduced by dispersal. Furthermore, we propose a generic indicator based on deterministic spatial patterns, which we call ‘recovery length’. As the spatial counterpart of recovery time, recovery length is the distance necessary for connected populations to recover from spatial perturbations. In our experiments, recovery length increased substantially before population collapse, suggesting that the spatial scale of recovery can provide a superior warning signal before tipping points in spatially extended systems. United States. National Institutes of Health (NIH R00 GM085279-02) United States. National Institutes of Health (NIH DP2) Alfred P. Sloan Foundation National Science Foundation (U.S.) 2017-04-14T19:41:55Z 2017-04-14T19:41:55Z 2012-11 2013-04 Article http://purl.org/eprint/type/JournalArticle 0028-0836 1476-4687 http://hdl.handle.net/1721.1/108185 Dai, Lei; Korolev, Kirill S. and Gore, Jeff. “Slower Recovery in Space before Collapse of Connected Populations.” Nature 496, no. 7445 (April 10, 2013): 355–358. © 2013 Macmillan Publishers Limited, part of Springer Nature https://orcid.org/0000-0003-4583-8555 en_US http://dx.doi.org/10.1038/nature12071 Nature Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Nature Publishing Group PMC
spellingShingle Dai, Lei
Korolev, Kirill Sergeevich
Gore, Jeff
Slower recovery in space before collapse of connected populations
title Slower recovery in space before collapse of connected populations
title_full Slower recovery in space before collapse of connected populations
title_fullStr Slower recovery in space before collapse of connected populations
title_full_unstemmed Slower recovery in space before collapse of connected populations
title_short Slower recovery in space before collapse of connected populations
title_sort slower recovery in space before collapse of connected populations
url http://hdl.handle.net/1721.1/108185
https://orcid.org/0000-0003-4583-8555
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