Abstract
A surplus production model based on the Fox surplus production function is suggested, which differs from previous such models in that the continuous, rather than discrete, form of the biomass dynamics equation is considered. The observation-error assumption is used to estimate the parameters of this model. The Marquardt algorithm is used as the minimization scheme for this nonlinear model. The model is applied to New Zealand rock lobster and south Atlantic albacore fisheries. The validity of the model is tested by means of Monte-Carlo simulation method and the experiment population data sets of Silliman and Gutsell [Silliman, R.P. and Gutsell, J.S., 1958. Experimental exploitation of fish populations. U.S. Fish. Wild. Serv. Fish. Bull. 58 (133), 215–252]. The simulations show that the estimator could provide approximate unbiased parameter estimates and have some ability to resist the disturbance of stochastic errors. The model provides stable and relative accurate parameter estimates for Silliman and Gutsell data. It also shows that the model has relatively good predictive ability.
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