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The Beverton–Holt model is a classic discrete-time population model which gives the expected number n t+1 (or density) of individuals in generation t + 1 as a function of the number of individuals in the previous generation, Despite being nonlinear, the model can be solved explicitly, since it is in fact an inhomogeneous linear equation in 1/n.The solution is Because of this structure, the model can be considered as the discrete-time analogue of the continuous-time logistic equation for population growth introduced by Verhulst; for comparison, the logistic equation is and its solution is

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  • Modelo Beverton–Holt
  • Beverton–Holt model
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  • The Beverton–Holt model is a classic discrete-time population model which gives the expected number n t+1 (or density) of individuals in generation t + 1 as a function of the number of individuals in the previous generation, Despite being nonlinear, the model can be solved explicitly, since it is in fact an inhomogeneous linear equation in 1/n.The solution is Because of this structure, the model can be considered as the discrete-time analogue of the continuous-time logistic equation for population growth introduced by Verhulst; for comparison, the logistic equation is and its solution is
  • El modelo Beverton–Holt modeliza poblaciones de tiempo discreto clásico dando el número esperado n t+1 (o densidad) de individuos en generación t + 1 como función del número de individuosl en la generación anterior, A pesar de ser nolinear, el modelo puede ser solucionado explícitamente, desde entonces es de hecho una ecuación no homogenea lineal en 1/n.La solución es Debido a esta estructura, el modelo puede ser considerado como el equivalente de tiempo discreto del continuo de ecuación logística para crecimiento de población introducido por Verhulst; por comparación, la ecuación lógica es
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  • El modelo Beverton–Holt modeliza poblaciones de tiempo discreto clásico dando el número esperado n t+1 (o densidad) de individuos en generación t + 1 como función del número de individuosl en la generación anterior, Aquí R0 está interpretado como el índice de proliferación por generación y K = (R0 − 1) M es la capacidad de llevar del entorno. Este se introdujo en el contexto de pesca por Beverton & Holt (1957). El trabajo subsiguiente derivó el modelo bajo otras suposiciones como competición de concurso (Brännström & Sumpter 2005), dentro de recurso anual de competición limitada (Geritz & Kisdi 2004) o incluso como el resultado de una fuente malthusiana enlazando por densidad-dependiente (Bravo de la Parra et al 2013). El modelo Beverton–Holt puede ser generalizado para incluir mezclar competición (modelo Ricker, el modelo Hassell y el modelo Maynard Herrero–Slatkin). Es también posible de incluir la agrupación espacial de los individuos (ver Brännström & Sumpter 2005). A pesar de ser nolinear, el modelo puede ser solucionado explícitamente, desde entonces es de hecho una ecuación no homogenea lineal en 1/n.La solución es Debido a esta estructura, el modelo puede ser considerado como el equivalente de tiempo discreto del continuo de ecuación logística para crecimiento de población introducido por Verhulst; por comparación, la ecuación lógica es Y su solución es Y su solución es
  • The Beverton–Holt model is a classic discrete-time population model which gives the expected number n t+1 (or density) of individuals in generation t + 1 as a function of the number of individuals in the previous generation, Here R0 is interpreted as the proliferation rate per generation and K = (R0 − 1) M is the carrying capacity of the environment. The Beverton–Holt model was introduced in the context of fisheries by Beverton & Holt (1957). Subsequent work has derived the model under other assumptions such as contest competition (Brännström & Sumpter 2005), within-year resource limited competition (Geritz & Kisdi 2004) or even as the outcome of a source-sink Malthusian patches linked by density-dependent dispersal (Bravo de la Parra et al 2013). The Beverton–Holt model can be generalized to include scramble competition (see the Ricker model, the Hassell model and the Maynard Smith–Slatkin model). It is also possible to include a parameter reflecting the spatial clustering of individuals (see Brännström & Sumpter 2005). Despite being nonlinear, the model can be solved explicitly, since it is in fact an inhomogeneous linear equation in 1/n.The solution is Because of this structure, the model can be considered as the discrete-time analogue of the continuous-time logistic equation for population growth introduced by Verhulst; for comparison, the logistic equation is and its solution is
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