Population Dynamics Modeling of Arapaima gigas
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Acta Amazonica |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0044-59672010000200012 |
Resumo: | Pirarucu (Arapaima gigas) has been of the most important natural fishing resources of the Amazon region. Due to its economic importance, and the necessity to preserve the species hand, field research concerning the habits and behavior of the pirarucu has been increasing for the last 20 years. The aim of this paper is to present a mathematical model for the pirarucu population dynamics considering the species peculiarities, particularly the male parental care over the offspring. The solution of the dynamical systems indicates three possible equilibrium points for the population. The first corresponds to extinction; the third corresponds to a stable population close to the environmental carrying capacity. The second corresponds to an unstable equilibrium located between extinction and full use of the carrying capacity. It is shown that lack of males’ parental care closes the gap between the point corresponding to the unstable equilibrium and the point of stable non-trivial equilibrium. If guarding failure reaches a critical point the two points coincide and the population tends irreversibly to extinction. If some event tends to destabilize the population equilibrium, as for instance inadequate parental care, the model responds in such a way as to restore the trajectory towards the stable equilibrium point avoiding the route to extinction. The parameters introduced to solve the system of equations are partially derived from limited but reliable field data collected at the Mamirauá Sustainable Development Reserve (MSDR) in the Brazilian Amazonian Region. |
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Population Dynamics Modeling of Arapaima gigasPirarucu (Arapaima gigas)population dynamicsMamirauáMathematical ModelingPirarucu (Arapaima gigas) has been of the most important natural fishing resources of the Amazon region. Due to its economic importance, and the necessity to preserve the species hand, field research concerning the habits and behavior of the pirarucu has been increasing for the last 20 years. The aim of this paper is to present a mathematical model for the pirarucu population dynamics considering the species peculiarities, particularly the male parental care over the offspring. The solution of the dynamical systems indicates three possible equilibrium points for the population. The first corresponds to extinction; the third corresponds to a stable population close to the environmental carrying capacity. The second corresponds to an unstable equilibrium located between extinction and full use of the carrying capacity. It is shown that lack of males’ parental care closes the gap between the point corresponding to the unstable equilibrium and the point of stable non-trivial equilibrium. If guarding failure reaches a critical point the two points coincide and the population tends irreversibly to extinction. If some event tends to destabilize the population equilibrium, as for instance inadequate parental care, the model responds in such a way as to restore the trajectory towards the stable equilibrium point avoiding the route to extinction. The parameters introduced to solve the system of equations are partially derived from limited but reliable field data collected at the Mamirauá Sustainable Development Reserve (MSDR) in the Brazilian Amazonian Region.Instituto Nacional de Pesquisas da Amazônia2010-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0044-59672010000200012Acta Amazonica v.40 n.2 2010reponame:Acta Amazonicainstname:Instituto Nacional de Pesquisas da Amazônia (INPA)instacron:INPA10.1590/S0044-59672010000200012info:eu-repo/semantics/openAccessCoutinho,Eliane dos Santos de SouzaBevilacqua,LuizQueiroz,Helder Lima deeng2010-08-19T00:00:00Zoai:scielo:S0044-59672010000200012Revistahttps://acta.inpa.gov.br/PUBhttps://old.scielo.br/oai/scielo-oai.phpacta@inpa.gov.br||acta@inpa.gov.br1809-43920044-5967opendoar:2010-08-19T00:00Acta Amazonica - Instituto Nacional de Pesquisas da Amazônia (INPA)false |
dc.title.none.fl_str_mv |
Population Dynamics Modeling of Arapaima gigas |
title |
Population Dynamics Modeling of Arapaima gigas |
spellingShingle |
Population Dynamics Modeling of Arapaima gigas Coutinho,Eliane dos Santos de Souza Pirarucu (Arapaima gigas) population dynamics Mamirauá Mathematical Modeling |
title_short |
Population Dynamics Modeling of Arapaima gigas |
title_full |
Population Dynamics Modeling of Arapaima gigas |
title_fullStr |
Population Dynamics Modeling of Arapaima gigas |
title_full_unstemmed |
Population Dynamics Modeling of Arapaima gigas |
title_sort |
Population Dynamics Modeling of Arapaima gigas |
author |
Coutinho,Eliane dos Santos de Souza |
author_facet |
Coutinho,Eliane dos Santos de Souza Bevilacqua,Luiz Queiroz,Helder Lima de |
author_role |
author |
author2 |
Bevilacqua,Luiz Queiroz,Helder Lima de |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Coutinho,Eliane dos Santos de Souza Bevilacqua,Luiz Queiroz,Helder Lima de |
dc.subject.por.fl_str_mv |
Pirarucu (Arapaima gigas) population dynamics Mamirauá Mathematical Modeling |
topic |
Pirarucu (Arapaima gigas) population dynamics Mamirauá Mathematical Modeling |
description |
Pirarucu (Arapaima gigas) has been of the most important natural fishing resources of the Amazon region. Due to its economic importance, and the necessity to preserve the species hand, field research concerning the habits and behavior of the pirarucu has been increasing for the last 20 years. The aim of this paper is to present a mathematical model for the pirarucu population dynamics considering the species peculiarities, particularly the male parental care over the offspring. The solution of the dynamical systems indicates three possible equilibrium points for the population. The first corresponds to extinction; the third corresponds to a stable population close to the environmental carrying capacity. The second corresponds to an unstable equilibrium located between extinction and full use of the carrying capacity. It is shown that lack of males’ parental care closes the gap between the point corresponding to the unstable equilibrium and the point of stable non-trivial equilibrium. If guarding failure reaches a critical point the two points coincide and the population tends irreversibly to extinction. If some event tends to destabilize the population equilibrium, as for instance inadequate parental care, the model responds in such a way as to restore the trajectory towards the stable equilibrium point avoiding the route to extinction. The parameters introduced to solve the system of equations are partially derived from limited but reliable field data collected at the Mamirauá Sustainable Development Reserve (MSDR) in the Brazilian Amazonian Region. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-01-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0044-59672010000200012 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0044-59672010000200012 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0044-59672010000200012 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Instituto Nacional de Pesquisas da Amazônia |
publisher.none.fl_str_mv |
Instituto Nacional de Pesquisas da Amazônia |
dc.source.none.fl_str_mv |
Acta Amazonica v.40 n.2 2010 reponame:Acta Amazonica instname:Instituto Nacional de Pesquisas da Amazônia (INPA) instacron:INPA |
instname_str |
Instituto Nacional de Pesquisas da Amazônia (INPA) |
instacron_str |
INPA |
institution |
INPA |
reponame_str |
Acta Amazonica |
collection |
Acta Amazonica |
repository.name.fl_str_mv |
Acta Amazonica - Instituto Nacional de Pesquisas da Amazônia (INPA) |
repository.mail.fl_str_mv |
acta@inpa.gov.br||acta@inpa.gov.br |
_version_ |
1752129838657830912 |