Use of contradictory data sources in stock assessments

Abstract Model predictions can vary greatly when different data sources are used for input. Here, I develop the likelihood function for a composite model based on data from a lingcod ( Ophiodon elongatus ) stock off Vancouver Island, British Columbia, Canada. The composite model includes two components, a fishery and a tag model. The fishery model incorporates historical data on commercial catch, effort, and the size-frequency distribution of the catch. The tag model summarizes a mark-recapture experiment on the same stock. Both component models predict natural and fishing mortality rates. However, as the fishery and tag components lead to statistically distinct estimates of lingcod mortality, I demonstrate that a composite model is unwarranted for the lingcod data. In addition, I show how the use of likelihood weights in composite models can be misleading. Moderate values of a likelihood weight result in parameter estimates that are exterior to the confidence regions for either component model. Finally, I suggest guidelines for evaluating composite models.

[1]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[2]  Richard D. Methot,et al.  Synthetic Estimates of Historical Abundance and Mortality for Northern Anchovy , 1989 .

[3]  John G. Pope,et al.  A simple method for the consistent interpretation of catch-at-age data , 1982 .

[4]  David A. Fournier,et al.  A General Theory for Analyzing Catch at Age Data , 1982 .

[5]  Movements and Mortality of Tagged Male and Female Lingeod in the Strait of Georgia, British Columbia , 1990 .

[6]  P. R. Neal,et al.  Catch-Age Analysis with Auxiliary Information , 1985 .

[7]  John G. Pope,et al.  A comparison of the performance of various methods for tuning VPAs using effort data , 1985 .

[8]  S. J. Westrheim A New Method for Allotting Effort to Individual Species in a Mixed-Species Trawl Fishery , 1983 .

[9]  J. Schnute,et al.  Fish Survival and Recruitment: Investigations Based on a Size-Structured Model , 1989 .

[10]  B. Efron The jackknife, the bootstrap, and other resampling plans , 1987 .

[11]  R. Beamish,et al.  Age Determination of Lingcod (Ophiodon elongatus) Using Dorsal Fin Rays and Scales , 1977 .

[12]  Jon T. Schnute,et al.  The importance of noise in fish population models , 1991 .

[13]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[14]  J. Schnute,et al.  Fish Growth: Investigations Based on a Size-Structured Model , 1989 .

[15]  R. Beamish,et al.  Effects of ocean variability on recruitment and an evaluation of parameters used in stock assessment models , 2004, Reviews in Fish Biology and Fisheries.

[16]  T. Quinn Catch-Per-Unit-Effort: A Statistical Model for Pacific Halibut (Hippoglossus stenolepis) , 1985 .