The energy allocation toward life-history functions: Link between the individual and population levels
Descripción del Articulo
The population dynamics of organisms are strongly influenced by life-history strategies that result from the optimal allocation of energy to vital functions such as growth, reproduction, and survival. These strategies, characterized by phenotypic traits, emerge as evolutionary adaptations to specifi...
| Autores: | , , , |
|---|---|
| Formato: | artículo |
| Fecha de Publicación: | 2025 |
| Institución: | Universidad Nacional de Trujillo |
| Repositorio: | Revistas - Universidad Nacional de Trujillo |
| Lenguaje: | español |
| OAI Identifier: | oai:ojs.revistas.unitru.edu.pe:article/6629 |
| Enlace del recurso: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6629 |
| Nivel de acceso: | acceso abierto |
| Materia: | Life history energy allocation discrete time model optimal control Historia de vida asignación de energía modelo discreto control óptimo |
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Revistas - Universidad Nacional de Trujillo |
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| dc.title.none.fl_str_mv |
The energy allocation toward life-history functions: Link between the individual and population levels Asignación de energía hacia funciones del ciclo de vida: Vínculo entre los niveles individual y poblacional The energy allocation toward life-history functions: Link between the individual and population levels |
| title |
The energy allocation toward life-history functions: Link between the individual and population levels |
| spellingShingle |
The energy allocation toward life-history functions: Link between the individual and population levels Saldaña-Núñez, Víctor Life history energy allocation discrete time model optimal control Historia de vida asignación de energía modelo discreto control óptimo Life history energy allocation discrete time model optimal control |
| title_short |
The energy allocation toward life-history functions: Link between the individual and population levels |
| title_full |
The energy allocation toward life-history functions: Link between the individual and population levels |
| title_fullStr |
The energy allocation toward life-history functions: Link between the individual and population levels |
| title_full_unstemmed |
The energy allocation toward life-history functions: Link between the individual and population levels |
| title_sort |
The energy allocation toward life-history functions: Link between the individual and population levels |
| dc.creator.none.fl_str_mv |
Saldaña-Núñez, Víctor Altamirano-Fernández, Alex Hernández-Castañeda, Ranghely Gutiérrez, Rodrigo |
| author |
Saldaña-Núñez, Víctor |
| author_facet |
Saldaña-Núñez, Víctor Altamirano-Fernández, Alex Hernández-Castañeda, Ranghely Gutiérrez, Rodrigo |
| author_role |
author |
| author2 |
Altamirano-Fernández, Alex Hernández-Castañeda, Ranghely Gutiérrez, Rodrigo |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Life history energy allocation discrete time model optimal control Historia de vida asignación de energía modelo discreto control óptimo Life history energy allocation discrete time model optimal control |
| topic |
Life history energy allocation discrete time model optimal control Historia de vida asignación de energía modelo discreto control óptimo Life history energy allocation discrete time model optimal control |
| description |
The population dynamics of organisms are strongly influenced by life-history strategies that result from the optimal allocation of energy to vital functions such as growth, reproduction, and survival. These strategies, characterized by phenotypic traits, emerge as evolutionary adaptations to specific ecological conditions and define functional trade-offs relevant facing biotic and abiotic pressures. The aim of this study is to examine the link between life history and population dynamics from a bioenergetic perspective, articulating individual and population-level processes through mathematical models that capture adaptive decisions in simulated environments described in terms of constant, decreasing, and periodic resource availability over time. Using a discrete-time mathematical model with two state variables, internal energy and survival probability, energy allocation toward reproduction and foraging is incorporated in order to determine the optimal strategy that maximizes the net reproductive rate. To solve this control problem, Pontryagin’s maximum principle is applied, using the forward–backward method to obtain optimal trajectories of allocation, energy, and survival. These trajectories are analyzed with respect to relevant physiological parameters under different scenarios of resource availability, thereby allowing the exploration of how environmental conditions influence the bioenergetic decisions of organisms. |
| publishDate |
2025 |
| dc.date.none.fl_str_mv |
2025-07-26 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
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article |
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publishedVersion |
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https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6629 |
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https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6629 |
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spa |
| language |
spa |
| dc.relation.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6629/6862 |
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https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
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https://creativecommons.org/licenses/by/4.0 |
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openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| dc.source.none.fl_str_mv |
Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 132 - 141 Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 132 - 141 Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 132 - 141 2411-1783 reponame:Revistas - Universidad Nacional de Trujillo instname:Universidad Nacional de Trujillo instacron:UNITRU |
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Universidad Nacional de Trujillo |
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UNITRU |
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UNITRU |
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Revistas - Universidad Nacional de Trujillo |
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Revistas - Universidad Nacional de Trujillo |
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1868083218268291072 |
| spelling |
The energy allocation toward life-history functions: Link between the individual and population levelsAsignación de energía hacia funciones del ciclo de vida: Vínculo entre los niveles individual y poblacionalThe energy allocation toward life-history functions: Link between the individual and population levelsSaldaña-Núñez, VíctorAltamirano-Fernández, AlexHernández-Castañeda, RanghelyGutiérrez, RodrigoLife historyenergy allocationdiscrete time modeloptimal controlHistoria de vidaasignación de energíamodelo discretocontrol óptimoLife historyenergy allocationdiscrete time modeloptimal controlThe population dynamics of organisms are strongly influenced by life-history strategies that result from the optimal allocation of energy to vital functions such as growth, reproduction, and survival. These strategies, characterized by phenotypic traits, emerge as evolutionary adaptations to specific ecological conditions and define functional trade-offs relevant facing biotic and abiotic pressures. The aim of this study is to examine the link between life history and population dynamics from a bioenergetic perspective, articulating individual and population-level processes through mathematical models that capture adaptive decisions in simulated environments described in terms of constant, decreasing, and periodic resource availability over time. Using a discrete-time mathematical model with two state variables, internal energy and survival probability, energy allocation toward reproduction and foraging is incorporated in order to determine the optimal strategy that maximizes the net reproductive rate. To solve this control problem, Pontryagin’s maximum principle is applied, using the forward–backward method to obtain optimal trajectories of allocation, energy, and survival. These trajectories are analyzed with respect to relevant physiological parameters under different scenarios of resource availability, thereby allowing the exploration of how environmental conditions influence the bioenergetic decisions of organisms. La dinámica poblacional de los organismos está fuertemente influenciada por estrategias de vida que resultan de la asignación óptima de energía a funciones vitales como el crecimiento, la reproducción y la supervivencia. Estas estrategias, caracterizadas por rasgos fenotípicos, emergen como adaptaciones evolutivas ante condiciones ecológicas particulares y definen compensaciones funcionales relevantes frente a presiones bióticas y abióticas. El objetivo de este trabajo es examinar el vínculo entre historia de vida y dinámica poblacional desde una perspectiva bioenergética, articulando procesos individuales y poblacionales a través de modelos matemáticos que capturan decisiones adaptativas en entornos simulados descritos en términos de la disponibilidad de recurso constante, decreciente y periódico a lo largo del tiempo. Mediante un modelo matemático en tiempo discreto, que considera dos estados dados por la energía interna del organismo y su probabilidad de supervivencia, se incorpora la asignación energética hacia la reproducción y la búsqueda de alimento, con el propósito de determinar la estrategia óptima que maximice la tasa reproductiva neta. Para resolver este problema de control, se aplica el Principio Máximo de Pontryagin, empleando el método forward–backward, obteniéndose trayectorias óptimas de asignación, energía y supervivencia. Tales trayectorias se analizan en función de parámetros fisiológicos relevantes bajo distintos escenarios de disponibilidad de recursos, permitiendo así explorar el efecto de condiciones ambientales sobre las decisiones bioenergéticas de los organismos.The population dynamics of organisms are strongly influenced by life-history strategies that result from the optimal allocation of energy to vital functions such as growth, reproduction, and survival. These strategies, characterized by phenotypic traits, emerge as evolutionary adaptations to specific ecological conditions and define functional trade-offs relevant facing biotic and abiotic pressures. The aim of this study is to examine the link between life history and population dynamics from a bioenergetic perspective, articulating individual and population-level processes through mathematical models that capture adaptive decisions in simulated environments described in terms of constant, decreasing, and periodic resource availability over time. Using a discrete-time mathematical model with two state variables, internal energy and survival probability, energy allocation toward reproduction and foraging is incorporated in order to determine the optimal strategy that maximizes the net reproductive rate. To solve this control problem, Pontryagin’s maximum principle is applied, using the forward–backward method to obtain optimal trajectories of allocation, energy, and survival. These trajectories are analyzed with respect to relevant physiological parameters under different scenarios of resource availability, thereby allowing the exploration of how environmental conditions influence the bioenergetic decisions of organisms.National University of Trujillo - Academic Department of Mathematics2025-07-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6629Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 132 - 141Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 132 - 141Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 132 - 1412411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6629/6862https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/66292025-07-26T15:43:48Z |
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13.072473 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
