A Bayesian hierarchical formulation of the De Lury stock assessment model for abundance estimation of Falkland Islands' squid (Loligo gahi)

In stock assessments of short-lived species, De Lury depletion models are commonly applied in which commercial catches and changing catch rates are used to estimate resource abundance. These methods are applied within fishing seasons to decide when to close the fishery and can be reliable if the data show a distinct decline in response to the catch removals. However, this is not always the case, particularly when sampling error variation masks trends in abundance. This paper presents a Bayesian hierarchical formulation of the De Lury model in which data from previous years are combined hierarchically in the same stock assessment model to improve parameter estimation for future stock assessments. The improved precision in parameter estimates is demonstrated using data for the Falkland Islands' Loligo gahi squid fishery.

[1]  J. Geweke,et al.  Bayesian Inference in Econometric Models Using Monte Carlo Integration , 1989 .

[2]  Russell B. Millar,et al.  BUGS in Bayesian stock assessments , 1999 .

[3]  Carl J. Walters,et al.  Adaptive Management of Spatially Replicated Groundfish Populations , 1991 .

[4]  M K McAllister,et al.  Using Bayesian decision analysis to help achieve a precautionary approach for managing developing fisheries , 1998 .

[5]  Murdoch K. McAllister,et al.  Accounting for structural uncertainty to facilitate precautionary fishery management: illustration with Namibian orange roughy , 2002 .

[6]  Ransom A. Myers,et al.  Hierarchical Bayesian models of length-specific catchability of research trawl surveys , 2001 .

[7]  Ransom A. Myers,et al.  What is the carrying capacity for fish in the ocean? A meta-analysis of population dynamics of North Atlantic cod , 2001 .

[8]  Zhenming Su,et al.  A comparison of salmon escapement estimates using a hierarchical Bayesian approach versus separate maximum likelihood estimation of each year's return , 2001 .

[9]  Éric Parent,et al.  How robust are Bayesian posterior inferences based on a Ricker model with regards to measurement errors and prior assumptions about parameters , 2001 .

[10]  D. Rubin,et al.  The calculation of posterior distributions by data augmentation , 1987 .

[11]  J. Beddington,et al.  Predicting the recruitment strength of an annual squid stock: Loligo gahi around the Falkland Islands , 2000 .

[12]  J. Beddington,et al.  Assessment and management techniques for migratory annual squid stocks: the Illex argentinus fishery in the Southwest Atlantic as an example , 1996 .

[13]  W. Wong,et al.  The calculation of posterior distributions by data augmentation , 1987 .

[14]  J. Beddington,et al.  The assessment of stocks of annual squid species , 1990 .

[15]  Carl J. Walters,et al.  Calculation of Bayes Posterior Probability Distributions for Key Population Parameters , 1994 .

[16]  James N. Ianelli,et al.  Bayesian stock assessment using catch-age data and the sampling - importance resampling algorithm , 1997 .

[17]  G. P. Kirkwood,et al.  Applying multivariate conjugate priors in fishery-management system evaluation: how much quicker is it and does it bias the ranking of management options? , 1999 .

[18]  J. Berger Statistical Decision Theory and Bayesian Analysis , 1988 .

[19]  J. Beddington,et al.  Approaches to assessing stocks of Loligo gahi around the Falkland Islands , 1998 .

[20]  C. Walters,et al.  Quantitative fisheries stock assessment: Choice, dynamics and uncertainty , 2004, Reviews in Fish Biology and Fisheries.

[21]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[22]  E. Rivot,et al.  Hierarchical Bayesian analysis of capture-mark-recapture data , 2002 .

[23]  D. Rubin Using the SIR algorithm to simulate posterior distributions , 1988 .

[24]  André E. Punt,et al.  A Bayesian Approach to Stock Assessment and Harvest Decisions Using the Sampling/Importance Resampling Algorithm , 1994 .