Marine Biology

, Volume 10, Issue 1, pp 1–7 | Cite as

Estimation of abundance of fish populations by capture-recapture experiments

  • S. Z. Rafail


A natural fish population is assumed to be subjected to a number of fishing experiments, during which the captured fish are released after tagging all untagged fish. Assuming that, in thekth sampling survey, the tagged and untagged fish are subjected toP tk andP uk fishing rates, andS tk andS uk survival rates, respectively, the population size can be estimated from an estimate ofP uk
$$\begin{gathered} i.e., 1 - P_{uk} = \hfill \\ P_{tk \cdot } \frac{{S_t (k + 1)}}{{S_u (k + 1)}}\frac{\begin{gathered} Number of fish captured for the first time in \hfill \\ the (k + 1)^{th} survey plus fish belonging to this \hfill \\ group captured later \hfill \\ \end{gathered} }{\begin{gathered} Number of fish captured for the first time in \hfill \\ the k^{th} and captured again in the (k + 1)^{th} \hfill \\ \exp eriment plus fish belonging to this group \hfill \\ which are captured later \hfill \\ \end{gathered} } \hfill \\ \end{gathered}$$
All terms of the right hand side of the above equation are provided by capture-recapture experiments, except the survival rate of untagged fish which may be obtained by other information. This estimate of fishing rate of untagged fish is free from type (A) errors.


Survival Rate Population Size Fishing Fish Population Sampling Survey 
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Literature cited

  1. Bailey, N. T. J.: On estimating the size of mobile populations from recapture data. Biometrika38, 293–306 (1951)Google Scholar
  2. Darboch, J. N.: The multiple-recapture census, 1. Estimation of a closed population. Biometrika45, 343–59 (1958).Google Scholar
  3. —: The multiple-recapture census. II-Estimation when there is immigration or death. Biometrika46, 336–51 (1959).Google Scholar
  4. Hammersley, J. M.: Capture-recapture analysis. Biometrika40, 137–69 (1953).Google Scholar
  5. Ricker, W. E.: Handbook of computations for biological statistics of fish population. Bull. Fish. Res. Bd Can. (119). (1958).Google Scholar
  6. Robson, D. S.: Maximum likelihood estimation of a sequence of annual survival rates from capture-recapture series. Spec. Publs int. Commn NW. Atlant. Fish.4, 330–335 (1963).Google Scholar
  7. —: New developments in survey sampling, pp120–140. Ed. by N. L. Johnson and H. Smith, Jr.. London: Wiley Interscience 1969.Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • S. Z. Rafail
    • 1
  1. 1.Institute of Oceanography and FisheriesAlexandriaEgypt (UAR)

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