Environmental and Resource Economics

, Volume 54, Issue 1, pp 139–154 | Cite as

Selectivity, Pulse Fishing and Endogenous Lifespan in Beverton-Holt Models

  • José-María Da Rocha
  • María-Jose Gutiérrez
  • Luis T. Antelo
Article

Abstract

Optimal management in a multi-cohort Beverton-Holt model with any number of age classes and imperfect selectivity is equivalent to finding the optimal fish lifespan by chosen fallow cycles. Optimal policy differs in two main ways from the optimal lifespan rule with perfect selectivity. First, weight gain is valued in terms of the whole population structure. Second, the cost of waiting is the interest rate adjusted for the increase in the pulse length. This point is especially relevant for assessing the role of selectivity. Imperfect selectivity reduces the optimal lifespan and the optimal pulse length. We illustrate our theoretical findings with a numerical example. Results obtained using global numerical methods select the optimal pulse length predicted by the optimal lifespan rule.

Keywords

Optimisation in age-structured models Pulse fishing 

JEL Classification

O1 AMS 91B76 92D25 

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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • José-María Da Rocha
    • 1
    • 2
  • María-Jose Gutiérrez
    • 3
  • Luis T. Antelo
    • 4
  1. 1.Universitat Autónoma de Barcelona, Campus de la UABBellaterra, Cerdanyola del VallésSpain
  2. 2.Facultad CC. EconómicasCampus Universitario Lagoas-MarcosendeVigoSpain
  3. 3.Universidad del País VascoBilbaoSpain
  4. 4.Process Engineering GroupInstituto de Investigaciones Marinas (IIM) CSICVigoSpain

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