Analysis of two length-based mortality models applied to bounded catch length frequencies

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Abstract

Weperformed an assessment of the length-based total mortality model of Beverton and Holt, assuming that catch length-frequency distributions in tropical artisanal fisheries are constrained by (1) the selective properties of multiple gears used and (2) the spatiotemporal availabilities of certain size classes of fish to operationally restricted fleets. Positive bias always resulted with the Beverton and Holt estimator of Z (total mortality); this estimator assumes an infinite exploitable life span. Estimates of Z were unreasonably biased when exploitable life spans were 50% or less of the biological life span of the species considered in the analyses. Biases were larger at lower levels of fishing mortality rates. We developed a new method from a truncated equation for average fish length. It considers length at first capture and the maximum retainable length actually observed in the fishery catch. The method has no explicit solution for Z. so we used numerical methods to provide its solution. The new estimator has zero bias at equilibrium. We determined variance of the new Z-estimator by bootstrap techniques.

Original languageEnglish (US)
Pages (from-to)115-122
Number of pages8
JournalTransactions of the American Fisheries Society
Volume121
Issue number1
DOIs
StatePublished - 1992

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mortality
artisanal fishery
fishing mortality
fish
numerical method
artisanal fishing
fishery
methodology
fisheries
analysis
method
distribution

ASJC Scopus subject areas

  • Aquatic Science
  • Ecology, Evolution, Behavior and Systematics

Cite this

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title = "Analysis of two length-based mortality models applied to bounded catch length frequencies",
abstract = "Weperformed an assessment of the length-based total mortality model of Beverton and Holt, assuming that catch length-frequency distributions in tropical artisanal fisheries are constrained by (1) the selective properties of multiple gears used and (2) the spatiotemporal availabilities of certain size classes of fish to operationally restricted fleets. Positive bias always resulted with the Beverton and Holt estimator of Z (total mortality); this estimator assumes an infinite exploitable life span. Estimates of Z were unreasonably biased when exploitable life spans were 50{\%} or less of the biological life span of the species considered in the analyses. Biases were larger at lower levels of fishing mortality rates. We developed a new method from a truncated equation for average fish length. It considers length at first capture and the maximum retainable length actually observed in the fishery catch. The method has no explicit solution for Z. so we used numerical methods to provide its solution. The new estimator has zero bias at equilibrium. We determined variance of the new Z-estimator by bootstrap techniques.",
author = "Ehrhardt, {Nelson M} and Ault, {Jerald S}",
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