Stochastic virtual population analysis

The Metropolis-Hastings algorithm was applied to a standard Virtual Population Analysis using a simulated data set containing catch data from 10 age groups over a 10-year period. Posterior distributions of fishing mortalities and population sizes are studied under different prior assumptions. The results demonstrate the usefulness of obtaining distributions of plausible parameter values instead of point estimates. Computational aspects of the algorithm are also discussed, as well as the estimation of the natural mortality.

[1]  S. Kuikka,et al.  Analysis of uncertainty in resource management: Joint use of multiple environmental assessment models by a Bayesian meta-model , 1995 .

[2]  Sylvia Richardson,et al.  Markov Chain Monte Carlo in Practice , 1997 .

[3]  W. K. Hastings,et al.  Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .

[4]  Sylvia Richardson,et al.  Inference and monitoring convergence , 1995 .

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

[6]  Jon T. Schnute,et al.  The influence of error on population estimates from catch-age models , 1995 .

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

[8]  C. Walters,et al.  Quantitative Fisheries Stock Assessment , 1992, Springer US.

[9]  André E. Punt,et al.  Placing odds on sustainable catch using virtual population analysis and survey data , 1994 .

[10]  J. Pope,et al.  An investigation of the accuracy of virtual population analysis using cohort analysis , 1972 .

[11]  Olli Varis A Belief Network Approach to Optimization and Parameter Estimation in Resource and Environmental Management Models , 1995 .

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

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

[14]  J. Besag,et al.  Bayesian Computation and Stochastic Systems , 1995 .

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