Ternary network models for disturbed ecosystems

The complex network of interactions between species makes understanding the response of ecosystems to disturbances an enduring challenge. One commonplace way to deal with this complexity is to reduce the description of a species to a binary presence–absence variable. Though convenient, this limits t...

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Main Authors: Kieran Peel, Darren Evans, Clive Emary
Format: Article
Language:English
Published: The Royal Society 2022-10-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/10.1098/rsos.220619
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author Kieran Peel
Darren Evans
Clive Emary
author_facet Kieran Peel
Darren Evans
Clive Emary
author_sort Kieran Peel
collection DOAJ
description The complex network of interactions between species makes understanding the response of ecosystems to disturbances an enduring challenge. One commonplace way to deal with this complexity is to reduce the description of a species to a binary presence–absence variable. Though convenient, this limits the patterns of behaviours representable within such models. We address these shortcomings by considering discrete population models that expand species descriptions beyond the binary setting. Specifically, we focus on ternary (three-state) models which, alongside presence and absence, additionally permit species to become overabundant. We apply this ternary framework to the robustness analysis of model ecosystems and show that this expanded description permits the modelling of top-down extinction cascades emerging from consumer pressure or mesopredator release. Results therefore differ significantly from those seen in binary models, where such effects are absent. We also illustrate how this method opens up the modelling of ecosystem disturbances outside the scope of binary models, namely those in which species are externally raised to overabundance. Our method therefore has the potential to provide a richer description of ecosystem dynamics and their disturbances, while at the same time preserving the conceptual simplicity of familiar binary approaches.
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spelling doaj.art-33fd2f84511744cfa410c8c0de9efbac2023-04-17T11:00:59ZengThe Royal SocietyRoyal Society Open Science2054-57032022-10-0191010.1098/rsos.220619Ternary network models for disturbed ecosystemsKieran Peel0Darren Evans1Clive Emary2School of Mathematics, Statistics and Physics, Newcastle University, Newcastle-upon-Tyne NE1 7RU, UKNatural and Environmental Sciences, Newcastle University, Newcastle-upon-Tyne NE1 7RU, UKSchool of Mathematics, Statistics and Physics, Newcastle University, Newcastle-upon-Tyne NE1 7RU, UKThe complex network of interactions between species makes understanding the response of ecosystems to disturbances an enduring challenge. One commonplace way to deal with this complexity is to reduce the description of a species to a binary presence–absence variable. Though convenient, this limits the patterns of behaviours representable within such models. We address these shortcomings by considering discrete population models that expand species descriptions beyond the binary setting. Specifically, we focus on ternary (three-state) models which, alongside presence and absence, additionally permit species to become overabundant. We apply this ternary framework to the robustness analysis of model ecosystems and show that this expanded description permits the modelling of top-down extinction cascades emerging from consumer pressure or mesopredator release. Results therefore differ significantly from those seen in binary models, where such effects are absent. We also illustrate how this method opens up the modelling of ecosystem disturbances outside the scope of binary models, namely those in which species are externally raised to overabundance. Our method therefore has the potential to provide a richer description of ecosystem dynamics and their disturbances, while at the same time preserving the conceptual simplicity of familiar binary approaches.https://royalsocietypublishing.org/doi/10.1098/rsos.220619biodiversitycascading extinctionspopulation dynamicsnetwork ecologyrobustness
spellingShingle Kieran Peel
Darren Evans
Clive Emary
Ternary network models for disturbed ecosystems
Royal Society Open Science
biodiversity
cascading extinctions
population dynamics
network ecology
robustness
title Ternary network models for disturbed ecosystems
title_full Ternary network models for disturbed ecosystems
title_fullStr Ternary network models for disturbed ecosystems
title_full_unstemmed Ternary network models for disturbed ecosystems
title_short Ternary network models for disturbed ecosystems
title_sort ternary network models for disturbed ecosystems
topic biodiversity
cascading extinctions
population dynamics
network ecology
robustness
url https://royalsocietypublishing.org/doi/10.1098/rsos.220619
work_keys_str_mv AT kieranpeel ternarynetworkmodelsfordisturbedecosystems
AT darrenevans ternarynetworkmodelsfordisturbedecosystems
AT cliveemary ternarynetworkmodelsfordisturbedecosystems