Proportional threshold harvesting in discrete-time population models

Autor(en): Hilker, Frank M.
Liz, Eduardo
Stichwörter: Biology; CHAOS; DYNAMICS; FLUCTUATING POPULATIONS; Harvesting frequency; Harvesting strategy; Life Sciences & Biomedicine - Other Topics; MANAGEMENT; Mathematical & Computational Biology; Maximum sustainable yield; NATURAL-POPULATIONS; POLICIES; Population cycles; Population dynamics; STABILITY; STOCKS; STRATEGIES
Erscheinungsdatum: 2019
Herausgeber: SPRINGER HEIDELBERG
Journal: JOURNAL OF MATHEMATICAL BIOLOGY
Volumen: 79
Ausgabe: 5
Startseite: 1927
Seitenende: 1951
Zusammenfassung: 
Threshold-based harvesting strategies tend to give high yields while protecting the exploited population. A significant drawback, however, is the possibility of harvesting moratoria with their socio-economic consequences, if the population size falls below the threshold and harvesting is not allowed anymore. Proportional threshold harvesting (PTH) is a strategy, where only a fraction of the population surplus above the threshold is harvested. It has been suggested to overcome the drawbacks of threshold-based strategies. Here, we use discrete-time single-species models and rigorously analyze the impact of PTH on population dynamics and stability. We find that the population response to PTH can be markedly different depending on the specific population model. Reducing the threshold and allowing more harvest can be destabilizing (for the Ricker and Hassell map), stabilizing (for the quadratic map), or both (for the generalized Beverton-Holt map). Similarly, management actions in the form of increasing the threshold do not always improve population stability-this can also be due to bistability. Our results therefore emphasize the importance of a rigorous analysis in investigating the impact of PTH on population stability.
ISSN: 03036812
DOI: 10.1007/s00285-019-01415-7

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