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Data and Management Strategies for Recreational Fisheries with Annual Catch Limits (2021) / Chapter Skim
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Appendix H: Defining and Managing Outliers in MRIP Output: An Order Statistics Approach
Pages 207-210

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From page 207...
... Order statistics provide a method for determining the probabilities that the firstlargest, second-largest, third-largest, etc., in a set of ordered numbers will take particular values. For example, denote the i = 1…n annual MRIP catch estimates for a particular fish species as X1, X2, …, Xn.
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From page 208...
... it would Similarly, be ifconsidered a fishery an outlierifbecause regulation a fishery regulation were based on the third largest of the five most recent MRIP catch estimates,a fishery were it based has on a less the than third 5 percent largest of probability the five most of occurring recent MRIP by chance catch alone. estimates, Similarly, then the if threshold regulation value c for were based on thecatch the third-largest thirdestimate largest of in the n = five 5 catch mostestimates recent MRIP to havecatch a 5 estimates, percent chance then the threshold of occurring value is c for theto: the solution third-largest catch estimate in n = 5 catch estimates to have a 5 percent chance of occurring is the solution to: 1 – F(X(j = n – 2 = 5 – 2 = 3)
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From page 209...
... . FISHERIES APPLICATIONS: HOW TO UPDATE MANAGEMENT POLICY GIVEN A TRIGGERING OUTLIER Given a triggering outlier, the outlier value of catch would be used to update the probability distribution of fish catch using Bayesian updating methodology as described under the Bayesian model of in-season management outlined in this report (see Appendix D)
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Key Terms

  • order statistics
  • catch estimates
  • fish species
  • cumulative distribution
  • recent mrip

  • mrip catch
  • percent chance
  • management policy
  • normal distribution
  • management policies

  • probability distribution
  • fish catch
  • fish population
  • joint density
  • distribution function

  • fishery management
  • fishery managers
  • triggering outlier
  • control rules
  • function fjoint

  • threshold value
  • derived statistics
  • statistical concept
  • update management
  • nonrare fish

  • catch estimate
  • rare fish
  • statistical significance
  • random variables
  • catch data


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