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Hierarchical Bayes estimation of hunting success rates
Authors:HE  Zhuoqiong  Sun  Dongchu
Affiliation:(1) Missouri Department of Conservation, Fishery and Wildlife Research Center, 1110 South College Avenue, Columbia, MO 65201, USA;(2) Department of Statistics, University of Missouri–Columbia, 323 Mathematical Sciences Building, Columbia, MO 65211, USA
Abstract:Although most post-season harvest surveys are conducted at the state level, the effective management of wildlife populations often requires estimates of hunting success rate, hunting pressure and harvest at the sub-area (such as management unit, regional, or county) level.Sample sizes for some sub-areas are often very small or even zero. Because of small sample sizes, estimates for small sub-areas often yield unacceptably large standard errors. In this article, a hierarchical Bayes model is used to estimate hunting success rates at the sub-area level from post-season harvest surveys. The computation is done by Gibbs sampling and adaptive rejection sampling techniques. The method is illustrated using data from the Missouri Turkey Hunting Survey 1994 Spring Season. The Bayesian estimates are close to the frequency estimates for the sub-areas with large sample sizes and more stable than the frequency estimates for those with small sample sizes. The Bayesian estimates will be more useful to wildlife biologists in estab-lishing hunting regulation on small sub-areas at no additional survey cost.
Keywords:Bayes estimation  hierarchical model  small sample size  small area  harvest survey  success rate
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