Effect of stock management calculated using stationary probability density function of number of recruits for the winter-spawning stock of Japanese flying squid <i>Todarodes pacificus</i>

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Other Title
  • スルメイカ冬季発生系群の加入量の定常分布を用いた資源管理の効果の計算

Abstract

<p> Stationary probability density function of number of recruits is applied to evaluate effect of the Harvest Control Rule (HCR) for the winter-spawning stock of Japanese flying squid Todarodes pacificus. The probability density function is calculated using the stock and recruitment model of Beverton and Holt with multiplicative process error and the mathematical condition for stationary state of Markov process. Maximum Sustainable Yield (MSY) under constant fishing coefficient is numerically searched using expectation of sustainable yield calculated with the probability density function. Allowable Biological Catch (ABC) depends on estimate of number of recruits that is random variable from the log-normal distribution. The results showed that the value of MSY was 178 thousand tons, the average of ABC from HCR was decreased with increase of variance of the estimate of number of recruits in log-scale, and the tentative estimate of variance of number of recruits calculated from available data of abundance surveys was within achievable range of the MSY. Merits of the theoretical models and issues to be resolved were discussed.</p>

Journal

  • NIPPON SUISAN GAKKAISHI

    NIPPON SUISAN GAKKAISHI 89 (4), 324-329, 2023-07-15

    The Japanese Society of Fisheries Science

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