A model for the population dynamics of plants under extensive livestock grazing

Autores
Bruzzone, Octavio Augusto; Rossini, Luca; Perri, Daiana Vanesa; Easdale, Marcos Horacio
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Extensive livestock production on rangelands involves continuous biomass extraction, as various plant species serve as food for different animal populations. Unlike agricultural systems, rangeland biomass extraction reduces plant size without their complete removal, leading to more complicated management strategies. Mathematical models could predict where plant biomass is available, to relocate animals accordingly, but the current state of the art offers plant population models with a single variable, confusing growth rate, fitness, and carrying capacity. This study addresses this limitation through a model that divides plant populations into two state variables: i) total biomass ( ) and ii) the number of individuals/vegetation cover ( ). Biomass follows a standard logistic population dynamic constrained by the carrying capacity of the ecosystem, while represents population spread and resource acquisition. The model integrates Schaeffer and Noy-Meir logistic population models with biomass extraction and includes a seeding term ( ) to account for human interventions. Results showed that system stability and equilibrium depend on the efficiency parameter ( ), which links and . Higher values reduced the system's maximum yield under biomass extraction, highlighting the trade-off between vegetation cover and biomass productivity. This model provides a promising alternative for describing rangeland dynamics under extensive livestock production.
EEA Bariloche
Fil: Bruzzone, Octavio Augusto. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Bariloche. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Bruzzone, Octavio Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Rossini, Luca. Université Libre de Bruxelles. Service d'Automatique et d'Analyse des Systèmes; Bélgica
Fil: Perri, Daiana Vanessa. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Bariloche. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Perri, Daiana Vanessa. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Easdale, Marcos Horacio. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Bariloche. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Easdale, Marcos Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fuente
Acta IMEKO 14 (3) : 1-17. (September 2025)
Materia
Pastoreo
Biomasa
Ganado Bovino
Plantas
Dinámica de Poblaciones
Modelos Matemáticos
Grazing
Biomass
Cattle
Plants
Population Dynamics
Mathematical Models
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
INTA Digital (INTA)
Institución
Instituto Nacional de Tecnología Agropecuaria
OAI Identificador
oai:localhost:20.500.12123/26994
Acceder
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oai_identifier_str oai:localhost:20.500.12123/26994
network_acronym_str INTADig
repository_id_str l
network_name_str INTA Digital (INTA)
spelling A model for the population dynamics of plants under extensive livestock grazingBruzzone, Octavio AugustoRossini, LucaPerri, Daiana VanesaEasdale, Marcos HoracioPastoreoBiomasaGanado BovinoPlantasDinámica de PoblacionesModelos MatemáticosGrazingBiomassCattlePlantsPopulation DynamicsMathematical ModelsExtensive livestock production on rangelands involves continuous biomass extraction, as various plant species serve as food for different animal populations. Unlike agricultural systems, rangeland biomass extraction reduces plant size without their complete removal, leading to more complicated management strategies. Mathematical models could predict where plant biomass is available, to relocate animals accordingly, but the current state of the art offers plant population models with a single variable, confusing growth rate, fitness, and carrying capacity. This study addresses this limitation through a model that divides plant populations into two state variables: i) total biomass ( ) and ii) the number of individuals/vegetation cover ( ). Biomass follows a standard logistic population dynamic constrained by the carrying capacity of the ecosystem, while represents population spread and resource acquisition. The model integrates Schaeffer and Noy-Meir logistic population models with biomass extraction and includes a seeding term ( ) to account for human interventions. Results showed that system stability and equilibrium depend on the efficiency parameter ( ), which links and . Higher values reduced the system's maximum yield under biomass extraction, highlighting the trade-off between vegetation cover and biomass productivity. This model provides a promising alternative for describing rangeland dynamics under extensive livestock production.EEA BarilocheFil: Bruzzone, Octavio Augusto. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Bariloche. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; ArgentinaFil: Bruzzone, Octavio Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; ArgentinaFil: Rossini, Luca. Université Libre de Bruxelles. Service d'Automatique et d'Analyse des Systèmes; BélgicaFil: Perri, Daiana Vanessa. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Bariloche. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; ArgentinaFil: Perri, Daiana Vanessa. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; ArgentinaFil: Easdale, Marcos Horacio. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Bariloche. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; ArgentinaFil: Easdale, Marcos Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; ArgentinaInternational Measurement Confederation2026-07-13T14:53:17Z2026-07-13T14:53:17Z2025-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12123/26994https://acta.imeko.org/index.php/acta-imeko/article/view/20392221-870Xhttps://doi.org/10.21014/actaimeko.v14i3.2039Acta IMEKO 14 (3) : 1-17. (September 2025)reponame:INTA Digital (INTA)instname:Instituto Nacional de Tecnología Agropecuariaenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)2026-09-24T11:43:27Zoai:localhost:20.500.12123/26994instacron:INTAInstitucionalhttp://repositorio.inta.gob.ar/Organismo científico-tecnológicoNo correspondehttp://repositorio.inta.gob.ar/oai/requesttripaldi.nicolas@inta.gob.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:l2026-09-24 11:43:28.505INTA Digital (INTA) - Instituto Nacional de Tecnología Agropecuariafalse
dc.title.none.fl_str_mv A model for the population dynamics of plants under extensive livestock grazing
title A model for the population dynamics of plants under extensive livestock grazing
spellingShingle A model for the population dynamics of plants under extensive livestock grazing
Bruzzone, Octavio Augusto
Pastoreo
Biomasa
Ganado Bovino
Plantas
Dinámica de Poblaciones
Modelos Matemáticos
Grazing
Biomass
Cattle
Plants
Population Dynamics
Mathematical Models
title_short A model for the population dynamics of plants under extensive livestock grazing
title_full A model for the population dynamics of plants under extensive livestock grazing
title_fullStr A model for the population dynamics of plants under extensive livestock grazing
title_full_unstemmed A model for the population dynamics of plants under extensive livestock grazing
title_sort A model for the population dynamics of plants under extensive livestock grazing
dc.creator.none.fl_str_mv Bruzzone, Octavio Augusto
Rossini, Luca
Perri, Daiana Vanesa
Easdale, Marcos Horacio
author Bruzzone, Octavio Augusto
author_facet Bruzzone, Octavio Augusto
Rossini, Luca
Perri, Daiana Vanesa
Easdale, Marcos Horacio
author_role author
author2 Rossini, Luca
Perri, Daiana Vanesa
Easdale, Marcos Horacio
author2_role author
author
author
dc.subject.none.fl_str_mv Pastoreo
Biomasa
Ganado Bovino
Plantas
Dinámica de Poblaciones
Modelos Matemáticos
Grazing
Biomass
Cattle
Plants
Population Dynamics
Mathematical Models
topic Pastoreo
Biomasa
Ganado Bovino
Plantas
Dinámica de Poblaciones
Modelos Matemáticos
Grazing
Biomass
Cattle
Plants
Population Dynamics
Mathematical Models
dc.description.none.fl_txt_mv Extensive livestock production on rangelands involves continuous biomass extraction, as various plant species serve as food for different animal populations. Unlike agricultural systems, rangeland biomass extraction reduces plant size without their complete removal, leading to more complicated management strategies. Mathematical models could predict where plant biomass is available, to relocate animals accordingly, but the current state of the art offers plant population models with a single variable, confusing growth rate, fitness, and carrying capacity. This study addresses this limitation through a model that divides plant populations into two state variables: i) total biomass ( ) and ii) the number of individuals/vegetation cover ( ). Biomass follows a standard logistic population dynamic constrained by the carrying capacity of the ecosystem, while represents population spread and resource acquisition. The model integrates Schaeffer and Noy-Meir logistic population models with biomass extraction and includes a seeding term ( ) to account for human interventions. Results showed that system stability and equilibrium depend on the efficiency parameter ( ), which links and . Higher values reduced the system's maximum yield under biomass extraction, highlighting the trade-off between vegetation cover and biomass productivity. This model provides a promising alternative for describing rangeland dynamics under extensive livestock production.
EEA Bariloche
Fil: Bruzzone, Octavio Augusto. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Bariloche. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Bruzzone, Octavio Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Rossini, Luca. Université Libre de Bruxelles. Service d'Automatique et d'Analyse des Systèmes; Bélgica
Fil: Perri, Daiana Vanessa. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Bariloche. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Perri, Daiana Vanessa. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Easdale, Marcos Horacio. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Bariloche. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
Fil: Easdale, Marcos Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Investigaciones Forestales y Agropecuarias Bariloche; Argentina
description Extensive livestock production on rangelands involves continuous biomass extraction, as various plant species serve as food for different animal populations. Unlike agricultural systems, rangeland biomass extraction reduces plant size without their complete removal, leading to more complicated management strategies. Mathematical models could predict where plant biomass is available, to relocate animals accordingly, but the current state of the art offers plant population models with a single variable, confusing growth rate, fitness, and carrying capacity. This study addresses this limitation through a model that divides plant populations into two state variables: i) total biomass ( ) and ii) the number of individuals/vegetation cover ( ). Biomass follows a standard logistic population dynamic constrained by the carrying capacity of the ecosystem, while represents population spread and resource acquisition. The model integrates Schaeffer and Noy-Meir logistic population models with biomass extraction and includes a seeding term ( ) to account for human interventions. Results showed that system stability and equilibrium depend on the efficiency parameter ( ), which links and . Higher values reduced the system's maximum yield under biomass extraction, highlighting the trade-off between vegetation cover and biomass productivity. This model provides a promising alternative for describing rangeland dynamics under extensive livestock production.
publishDate 2025
dc.date.none.fl_str_mv 2025-09
2026-07-13T14:53:17Z
2026-07-13T14:53:17Z
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12123/26994
https://acta.imeko.org/index.php/acta-imeko/article/view/2039
2221-870X
https://doi.org/10.21014/actaimeko.v14i3.2039
url http://hdl.handle.net/20.500.12123/26994
https://acta.imeko.org/index.php/acta-imeko/article/view/2039
https://doi.org/10.21014/actaimeko.v14i3.2039
identifier_str_mv 2221-870X
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv International Measurement Confederation
publisher.none.fl_str_mv International Measurement Confederation
dc.source.none.fl_str_mv Acta IMEKO 14 (3) : 1-17. (September 2025)
reponame:INTA Digital (INTA)
instname:Instituto Nacional de Tecnología Agropecuaria
reponame_str INTA Digital (INTA)
collection INTA Digital (INTA)
instname_str Instituto Nacional de Tecnología Agropecuaria
repository.name.fl_str_mv INTA Digital (INTA) - Instituto Nacional de Tecnología Agropecuaria
repository.mail.fl_str_mv tripaldi.nicolas@inta.gob.ar
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score 12.733355

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