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Fecha
2025-01-01
Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editorial
Society for Industrial and Applied Mathematics (SIAM)
Citas
Resumen
The effect of the variability in dispersal over a fragmented population remains poorly understood and is a primary focus of current ecological research. For deterministic discrete-time models, recent studies have analyzed the dispersal rates for which the maximum asymptotic total population size is attained. These correspond to constant dispersal policies assuming a fixed rate for all time steps. Here, we study a two-patch model described by a controlled stochastic process with the dispersal rate modeled as an action that allows considering a different rate for each generation. We consider a finite horizon and two infinite horizon optimality criteria and a large class of policies allowing the managers’ actions to depend on the current state of the population. The optimal dispersal problem is solved in the framework of a Markov decision process, and numerical simulations illustrate that the considered policies overcome any dispersal policy based on constant dispersal rates. Finally, we have considered reward functions including a cost per individual dispersed, which from a management perspective can be assumed as more realistic than just maximizing the total population size.
Descripción
This is the Accepted Manuscript of an article published by Society for Industrial and Applied Mathematics (SIAM) in "SIAM Journal on Applied Mathematics Volume 85 Issue 6", available online: https://doi.org/10.1137/23M1609968
Este es el manuscrito aceptado de un artículo publicado por Society for Industrial and Applied Mathematics (SIAM) en "SIAM Journal on Applied Mathematics Volume 85 Issue 6", disponible en línea: https://doi.org/10.1137/23M1609968
Este es el manuscrito aceptado de un artículo publicado por Society for Industrial and Applied Mathematics (SIAM) en "SIAM Journal on Applied Mathematics Volume 85 Issue 6", disponible en línea: https://doi.org/10.1137/23M1609968
Categorías UNESCO
Palabras clave
spatially-structured population, control of dispersal, stochastic dynamical systems, markov decision processes, finite horizon optimality criterion, discount optimality, average optimality
Citación
Finding the Optimal Rate of Dispersal for a Population: A Markov Decision Process Approach. Danie Franco,Tomás Prieto-Rumeau, Juan Segura. SIAM Journal on Applied Mathematics Volume 85 Issue 6. https://doi.org/10.1137/23M1609968
Centro
Facultad de Ciencias
Departamento
Matemática Aplicada I