Estimates of growth and comparisons of growth rates determined from length- and age-based models for populations of purple wrasse (Notolabrus fucicola)

Growth of a temperate reefa-ssociated fish, the purple wrasse (Notolabrus fucicola), was examined from two sites on the east coast of Tasmania by using age- and length-based models. Models based on the von Bertalanffy growth function, in the standard and a reparameterized form, were constructed by using otolith-derived age estimates. Growth trajectories from tag-recaptures were used to construct length-based growth models derived from the GROTAG model, in turn a reparameterization of the Fabens model. Likelihood ratio tests (LRTs) determined the optimal parameterization of the GROTAG model, including estimators of individual growth variability, seasonal growth, measurement error, and outliers for each data set. Growth models and parameter estimates were compared by bootstrap confidence intervals, LRTs, and randomization tests and plots of bootstrap parameter estimates. The relative merit of these methods for comparing models and parameters was evaluated; LRTs combined with bootstrapping and randomization tests provided the most insight into the relationships between parameter estimates. Significant differences in growth of purple wrasse were found between sites in both length- and age-based models. A significant difference in the peak growth season was found between sites, and a large difference in growth rate between sexes was found at one site with the use of length-based models.

PICES Press, Vol. 19, No. 2, Summer 2011

•The 2011 Inter-sessional Science Board Meeting: A Note from Science Board Chairman (pp. 1-4) •Indicators for Status and Change within North Pacific Marine Ecosystems: A FUTURE Workshop (pp. 5-8) •PICES Calendar (p. 8) •2011 ESSAS Open Science Meeting (pp. 9-13) •The 5th Zooplankton Production Symposium (pp. 14-17) •Workshop on "Individual-Based Models of Zooplankton” (pp. 18-21) •New Book Release on the 100th Anniversary of the T/S Osharu Maru (p. 21) •Workshop on “Advances in Genomic and Molecular Studies of Zooplankton” (pp. 22-24) •Workshop on “Updates and Comparisons of Zooplankton Time Series” (pp. 25-27) •Workshop on “Impacts of Ocean Acidification on Zooplankton” (pp. 28-29) •Workshop on “Automated Visual Plankton Identification” (p. 30) •Professor Plum in the Dining Room with a Knife (p. 31) •PICES and ICES on the River Elbe (p. 32) •The State of the Western North Pacific in the Second Half of 2010 (pp. 33-34) •The Bering Sea: Current Status and Recent Events (pp. 35-37) •Northeast Pacific News (pp. 38-39) •PICES Advice on Marine Ecology at a Canadian Judicial Inquiry (p. 40)

Interactions of age-dependent mortality and selectivity functions in age-based stock assessment models

The natural mortality rate (M) of fish varies with size and age, although it is often assumed to be constant in stock assessments. Misspecification of M may bias important assessment quantities. We simulated fishery data, using an age-based population model, and then conducted stock assessments on the simulated data. Results were compared to known values. Misspecification of M had a negligible effect on the estimation of relative stock depletion; however, misspecification of M had a large effect on the estimation of parameters describing the stock recruitment relationship, age-specific selectivity, and catchability. If high M occurs in juvenile and old fish, but is misspecified in the assessment model, virgin biomass and catchability are often poorly estimated. In addition, stock recruitment relationships are often very difficult to estimate, and steepness values are commonly estimated at the upper bound (1.0) and overfishing limits tend to be biased low. Natural mortality can be estimated in assessment models if M is constant across ages or if selectivity is asymptotic. However if M is higher in old fish and selectivity is dome-shaped, M and the selectivity cannot both be adequately estimated because of strong interactions between M and selectivity.