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Moments and probability density of threshold crossing times for populations in random environments under sustainable harvesting policies

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  • Nuno M. Brites

    (Universidade de Lisboa)

  • Carlos A. Braumann

    (Centro de Investigação em Matemática e Aplicações, Instituto de Investigação e Formação Avançada, Universidade de Évora)

Abstract

Stochastic differential equations are used to model the dynamics of harvested populations in random environments. The main goal of this work is to compute, for a particular fish population under constant effort harvesting, the mean and standard deviation of first passage times by several lower and upper thresholds values. We apply logistic or logistic-like with Allee effects average growth dynamics. In addition, we present a method to obtain the probability density function of the first passage time by a threshold through the numerical inversion of its Laplace transform.

Suggested Citation

  • Nuno M. Brites & Carlos A. Braumann, 2025. "Moments and probability density of threshold crossing times for populations in random environments under sustainable harvesting policies," Computational Statistics, Springer, vol. 40(6), pages 3191-3203, July.
    • Handle: RePEc:spr:compst:v:40:y:2025:i:6:d:10.1007_s00180-022-01237-0
    DOI: 10.1007/s00180-022-01237-0
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    References listed on IDEAS

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    1. Nuno M. Brites & Carlos A. Braumann, 2020. "Stochastic differential equations harvesting policies: Allee effects, logistic‐like growth and profit optimization," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 36(5), pages 825-835, September.
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    Cited by:

    1. David Fernando Muñoz & Verónica Andrea González-López & Jürgen Symanzik, 2025. "Editorial on the special issue on the V Latin American conference on statistical computing," Computational Statistics, Springer, vol. 40(6), pages 2849-2856, July.

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