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

Nuno M. Brites () and Carlos A. Braumann ()
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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

Computational Statistics, 2025, vol. 40, issue 6, No 14, 3203 pages

Abstract: 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.

Keywords: Allee effects; Constant effort harvesting; Laplace transform; Logistic growth; Stochastic differential equations; First passage times (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:compst:v:40:y:2025:i:6:d:10.1007_s00180-022-01237-0

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DOI: 10.1007/s00180-022-01237-0

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