Population dynamics of synthetic Terraformation motifs

Ecosystems are complex systems, currently experiencing several threats associated with global warming, intensive exploitation and human-driven habitat degradation. Because of a general presence of multiple stable states, including states involving population extinction, and due to the intrinsic nonl...

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Authors: Solé, R.; Montañez, R.; Duran-Nebreda, S.; Rodríguez-Amor, D.; Vidiella, B.; Sardanyés, J.
Format: Article
Status:Published version
Publication date:2018
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/377917
Online Access:http://hdl.handle.net/2072/377917
Access Level:Open access
Keyword:Matemàtiques
51
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author Solé, R.
author2 Montañez, R.
Duran-Nebreda, S.
Rodríguez-Amor, D.
Vidiella, B.
Sardanyés, J.
author2_role author
author
author
author
author
author_browse Duran-Nebreda, S.
Montañez, R.
Rodríguez-Amor, D.
Sardanyés, J.
Solé, R.
Vidiella, B.
author_facet Solé, R.
Montañez, R.
Duran-Nebreda, S.
Rodríguez-Amor, D.
Vidiella, B.
Sardanyés, J.
author_role author
collection Recercat. Dipósit de la Recerca de Catalunya
description Ecosystems are complex systems, currently experiencing several threats associated with global warming, intensive exploitation and human-driven habitat degradation. Because of a general presence of multiple stable states, including states involving population extinction, and due to the intrinsic nonlinearities associated with feedback loops, collapse inecosystems could occur in a catastrophic manner. It has been recently suggested that a potential path to prevent or modifythe outcome of these transitions would involve designing synthetic organisms and synthetic ecological interactions thatcould push these endangered systems out of the critical boundaries. In this paper, we investigate the dynamics of thesimplest mathematical models associated with four classes of ecological engineering designs, named Terraformation motifs(TMs). These TMs put in a nutshell different ecological strategies. In this context, some fundamental types of bifurcations pervade the systems'\'' dynamics. Mutualistic interactions can enhance persistence of the systems by means of saddle-node bifurcations. The models without cooperative interactions show that ecosystems achieve restoration through transcritical bifurcations. Thus, our analysis of the models allows us to define the stability conditions and parameter domains where these TMs must work.
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institution Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
network_acronym_str ES
network_name_str España
oai_identifier_str oai:recercat.cat:2072/377917
publishDate 2018
publishDateSort 2018
reponame_str Recercat. Dipósit de la Recerca de Catalunya
spelling Population dynamics of synthetic Terraformation motifs Solé, R. Montañez, R. Duran-Nebreda, S. Rodríguez-Amor, D. Vidiella, B. Sardanyés, J. Matemàtiques 51 Ecosystems are complex systems, currently experiencing several threats associated with global warming, intensive exploitation and human-driven habitat degradation. Because of a general presence of multiple stable states, including states involving population extinction, and due to the intrinsic nonlinearities associated with feedback loops, collapse inecosystems could occur in a catastrophic manner. It has been recently suggested that a potential path to prevent or modifythe outcome of these transitions would involve designing synthetic organisms and synthetic ecological interactions thatcould push these endangered systems out of the critical boundaries. In this paper, we investigate the dynamics of thesimplest mathematical models associated with four classes of ecological engineering designs, named Terraformation motifs(TMs). These TMs put in a nutshell different ecological strategies. In this context, some fundamental types of bifurcations pervade the systems'\'' dynamics. Mutualistic interactions can enhance persistence of the systems by means of saddle-node bifurcations. The models without cooperative interactions show that ecosystems achieve restoration through transcritical bifurcations. Thus, our analysis of the models allows us to define the stability conditions and parameter domains where these TMs must work. http://hdl.handle.net/2072/377917
spellingShingle Population dynamics of synthetic Terraformation motifs
Solé, R.
Matemàtiques
51
status_str publishedVersion
title Population dynamics of synthetic Terraformation motifs
title_full Population dynamics of synthetic Terraformation motifs
title_fullStr Population dynamics of synthetic Terraformation motifs
title_full_unstemmed Population dynamics of synthetic Terraformation motifs
title_short Population dynamics of synthetic Terraformation motifs
title_sort Population dynamics of synthetic Terraformation motifs
topic Matemàtiques
51
topic_facet Matemàtiques
51
url http://hdl.handle.net/2072/377917