2011
DOI: 10.1111/j.1939-7445.2011.00099.x
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Optimal Harvesting Time of Farmed Aquatic Populations With Nonlinear Size‐heterogeneous Growth

Abstract: Abstract. This paper examines the question of optimal harvesting time in a size-heterogeneous farmed aquatic population, using a model reflecting the effect of population density on both overall mortality rate and individual growth. This analysis enables an optimal harvesting rule to be deduced. The results obtained are applied to shrimp culture in recirculation systems in Mexico. Numerical solutions are derived for different production scenarios. Assuming identical culture conditions, results are also obtaine… Show more

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Cited by 20 publications
(16 citation statements)
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“…Uniformity is also important for production planning, and achieving a higher percentage of fish with minimum market size (Mms) at an optimum time of harvest is a determining factor for profit. However, optimal harvesting time (OHT) is overestimated when homogeneity of size is assumed during the different stages of growth (Araneda et al, 2011).…”
Section: Introductionmentioning
confidence: 99%
“…Uniformity is also important for production planning, and achieving a higher percentage of fish with minimum market size (Mms) at an optimum time of harvest is a determining factor for profit. However, optimal harvesting time (OHT) is overestimated when homogeneity of size is assumed during the different stages of growth (Araneda et al, 2011).…”
Section: Introductionmentioning
confidence: 99%
“…As a result, modelling population dynamics with size structure has been an active and fruitful theme in mathematical biology (to name a few, see [2,4,6,7,11,12,13,15,17,18,19,20,22,23,24,26,31]). Unfortunately, only a few papers deal with the control problem [2,11,12,13,15,18,19,23,31]. Moreover, all focus on optimal harvesting except Araneda et al [2] on optimal harvesting time and He et al [11] on optimal birth control.…”
Section: Rong Liu Feng-qin Zhang and Yuming Chenmentioning
confidence: 99%
“…Unfortunately, only a few papers deal with the control problem [2,11,12,13,15,18,19,23,31]. Moreover, all focus on optimal harvesting except Araneda et al [2] on optimal harvesting time and He et al [11] on optimal birth control.…”
Section: Rong Liu Feng-qin Zhang and Yuming Chenmentioning
confidence: 99%
“…Lo quiere decir que esta actividad depende de elementos biológicoecológicos, físicos y tecnológicos que se interrelacionan directamente con resultantes económicos y de administración, comportamiento de mercado, gestión, rentabilidad o decisiones de inversión, que conllevan a determinar un resultado. Estos factores y la falta de información oportuna y útil originan que resulte dificultoso para los directivos de las empresas langostineros resolver en mediano y largo plazo que estrategia de, entre las distintas estrategias de manejo de cultivo (densidad de siembra, fotoperiodo, ración de alimento, cosecha, punto de equilibrio, talla), aplicar en sus estanques de cultivo con el fin de maximizar sus utilidades (Araneda et al, 2011). Sin embargo, no obstante, el mercado a la fecha no dispone de herramientas tecnológicas para cubrir esta demanda del sector langostinero, frente a esta situación es primordial entender que la actividad acuícola es un caso específico de los "sistemas dinámicos".…”
Section: Introductionunclassified