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This contribution deals with some aspects of sequential shrimp fisheries, particularly the relation between survival after catch in inshore waters and recruitment to the offshore fishery. This relation is described for the brown shrimp, Farfantepenaeus aztecus, in the northwestern Gulf of Mexico, using a modified catch equation, the solution of which is approached using catch data, with a delay between catch-at-migration time (inshore waters) and recruitment to the offshore fishery. Recruitment decreases as a logarithmic function of catch, the form of which is defined by fishing mortality and migration rate. For a period of 8 years of monthly data, the explained variance of recruitment at the offshore fishery was more than 60%, but for the average pattern it increases to 80%. The main concept behind this model is to identify a desirable survival level in inshore waters after catch, that permits a number of recruits to the offshore fishery to maintain stable yields. The model described above was unable to be directly used for management purposes, because of a large variance along the catch axis. The second derivative of the model was used to represent increments in survival rate (to offshore fishery) as a function of inshore catch. Several tendencies were explored, but inshore catch that stabilizes survival is tentatively suggested as the more appropriate to be used as a criterion for management. In practice, the desired survival level can be approached by monitoring fishing in inshore waters.

Este trabajo trata algunos aspectos de las pesquerías secuenciales de camarón, particularmente la relación entre supervivencia después de la captura en aguas interiores y el reclutamiento a la pesquería de platafoma. Esta relación es descrita para el camarón café Farfantepenaeus aztecus en el noroeste del Golfo de México, utilizando una forma modificada de la curva de captura cuya solución es aproximada al utilizar datos de captura, con retraso entre la captura al momento de migración (de aguas interiores) y el reclutamiento a la pesquería de la plataforma continental. El reclutamiento decrece siguiendo una función logarítmica con la captura cuya forma es definida por la mortalidad por pesca y la tasa de migración. Para un periodo de ocho años de datos mensuales, la varianza explicada del reclutamiento a la pesquería de plataforma fue mas de 60%, y con el patrón promedio anual la varianza explicada aumentó a 80%. El principal concepto detrás del modelo propuesto es la identificación de un nivel de supervivencia deseado en aguas interiores, después de la captura, que permita que un número adecuado de reclutas alcance la pesquería de plataforms para mantener los rendimiento estables. El modelo descrito anteriormente no es posible usarlo directamente para fines de manejo debido a la gran varianza a lo largo del eje que representa las capturas en aguas interiores. Sin embargo la segunda derivada del modelo fue usada para representar los incrementos en la tasa de supervivencia (hacia la pesquería de plataforma) como una función de la captura en aguas interiores. Varios escenarios fueron exploradas mostrando que la captura en aguas interiores tiende a estabilizar la supervivencia; por ello, tentativamente se sugiere esta relación como la mas apropiada para usarse con fines de manejo. En la práctica, el nivel de supervivencia deseado puede ser aproximado a través del monitoreo de la pesca en aguas interiores.


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