Abstract
Abstract Principles of probability sampling theory and optimization of survey design have been applied to the estimation of age composition in the Atlantic menhaden (Brevoortia tyrannns) purse-seine fishery. These methods provide a framework within which stock assessment scientists can determine confidence intervals about estimated parameters and can increase the overall efficiency of sampling programs. The Atlantic menhaden survey is discussed with respect to required assumptions and serves to illustrate several problems commonly encountered in imposing theoretical requirements on the sampling of commercial catches. A two-stage design is developed in which purse-seine sets and fish within sets are randomly sampled. Formulas are given for estimating mean age composition with joint 95% confidence intervals for a single week and for the entire fishing season. In addition, we recommend a procedure for determining optimal survey design which admits a class of potential solutions that has been previously overl...
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