Fish Survival and Recruitment: Investigations Based on a Size-Structured Model

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Abstract
In this paper and its companion (Schnute et al. 1989, Can. J. Fish. Aquat. Sci. 46: 730–742), we present a statistical analysis of Schnute's size-structured model for exploited fish populations. Here we emphasize model parameters associated with survival and recruitment. We present a simple method of graphical analysis for assessing these parameters, and we develop a related statistical model, based on the modern theory of time series analysis. Our model incorporates a range of possible error structures that include both natural variability (process error) and data uncertainty (measurement error). We illustrate the model's application with data from an exploited lingcod (Ophiodon elongatus) stock. Preliminary graphical estimates of parameters agree remarkably well with final estimates from the statistical model. Where possible, we investigate alternative viewpoints associated with (1) choices of error structure, (2) dynamic and equilibrium versions of the model, (3) uncertain growth parameters, (4) different abundance indices, (5) mark–recapture experiments, and (6) availability of size-frequency data.

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