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Persistence Index for Harvested Populations

Persistence index for harvested populations
Authors: Jerzy A. Filar; Matthew H. Holden; Manuela Mendiolar; Sabrina H. Streipert;

Persistence Index for Harvested Populations

Abstract

Fish stocks face both anthropogenic and environmental pressures, which can drastically reduce population sizes and threaten species' survival. While some species can persist and recover from such disturbances, others require careful management to prevent collapse. We introduce a new, biologically intuitive, measure of persistence, the number of eggs produced by an individual fish over its lifetime (NEL) under a harvest policy. Additionally, we demonstrate the relationship between NEL and other candidate indices such as the inherent net reproductive rate, biomass, number of spawners, and dominant eigenvalue of the Jacobian. We show that, NEL inherits a desirable monotonicity property with respect to harvest survival probabilities. That is, NEL (persistence) is higher when survival is higher. If persistence were measured by the dominant eigenvalue of the Jacobian, we show that this property is violated. Hence, NEL offers a valuable and easily computable index for managers to assess persistence under alternative harvest policies.

Keywords

age-structured model, Conservation of Natural Resources, Biology and other natural sciences, Population Dynamics, Fisheries, Models, Biological, Persistence, 1100 Agricultural and Biological Sciences, 2604 Applied Mathematics, 1300 Biochemistry, Genetics and Molecular Biology, Fisheries management, Animals, 2613 Statistics and Probability, resilience, Population Density, Resilience, Age-structured model, Fishes, 2400 Immunology and Microbiology, persistence, 2611 Modelling and Simulation, 2700 Medicine, fisheries management, Beverton-Holt recruitment

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
hybrid