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Data and Management Strategies for Recreational Fisheries with Annual Catch Limits (2021) / Chapter Skim
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Appendix G: Rare-Event Species: Uninformative Priors and Bayes' Rule
Pages 203-206

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From page 203...
... . Given only one time period of catch information (r and c)
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From page 204...
... FINDING204 THE PROBABILITY DISTRIBUTION RECREATIONAL OF THE PROPORTION FISHERIES WITH ANNUALOF CATCHRARE LIMITS FISH IN FINDING FINDING THE THE PROBABILITY THE DISTRIBUTION FISH POPULATION PROBABILITYFINDING THE PROBABILITYOF DISTRIBUTION OF THE THE PROPORTION DISTRIBUTION PROPORTION OF THEOF OF RARERARE FISH FISH IN IN THE THE FISH FISH PROPORTION OF RARE FISH IN THE FISH POPULATION POPULATION POPULATION Suppose that, from time period to time period, R + C is the total number of fish caught in the location ofSuppose Suppose Suppose interest, that, where that,that, from from from R time time time is period the period number period tototime to of fish time time period, of the period, period, RR+particular R ++CCCisisis thethe therare total totalspecies number total number numberofthatfish ofare of caught, caught fish fish in the caught caught andininCtheis the the number location location of fish ofofinterest, other where species R is that the arenumber caught. of fish Both of the R particular and C can rare vary species from that time are caught, period to and time period.
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From page 205...
... If it is reasonable to assume that the proportion the ofnumber rare fish, ofr, other and the fish, c, caught of rareatfish the in numberlocation a of otherof interest particular fish, for Ponly c, caught location onelocation time period. at independent is the theIftotal ofofinterest itfor isfish reasonable onlycatch (Rto+period.
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From page 206...
... in the location of interest. The mean and variance of the rare-species catch estimates based on the catch data from the initial time period could serve as the initial estimates for a Bayesian updating model of rare-species catch.
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Key Terms

  • fish population
  • rare species
  • total fish
  • particular rare
  • fish caught

  • particular value
  • fishery managers
  • probability distribution
  • fish catch
  • fish species

  • cumulative distribution
  • particular species
  • distribution function
  • found using
  • species estimating

  • common fish
  • fish fish
  • species suppose
  • particular location
  • population population

  • species combined
  • functionof rare
  • mean fish
  • fish proportion
  • location fish

  • rarerare fish
  • mrip fish
  • rare fishsuch
  • catch fish
  • fish exist


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