Harvest timing and its population dynamic consequences in a discrete single-species model

Begoña Cid, Frank M. Hilker, Eduardo Liz

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The timing of harvesting is a key instrument in managing and exploiting biological populations and renewable resources. Yet, there is little theory on harvest timing, and even less is known about the impact of different harvest times on the stability of population dynamics, even though this may drive population variability and risk of extinction. Here, we employ the framework proposed by Seno to study how harvesting at specific moments in the reproductive season affects not only population size but also stability. For populations with overcompensation, intermediate harvest times tend to be stabilizing (by simplifying dynamics in the case of unimodal maps and by preventing bubbling in the case of bimodal maps). For populations with a strong Allee effect, however, intermediate harvest times can have a twofold effect. On the one hand, they facilitate population persistence (if harvesting effort is low). On the other hand, they provoke population extinction (if harvesting effort is high). Early harvesting, currently considered common sense to take advantage of compensatory effects, may cut into the breeding stock when the population has not yet surpassed the critical Allee threshold. The results in this paper highlight, for the first time, the crucial interplay between harvest timing and Allee effects. Moreover, they demonstrate that harvesting with the same effort but at different moments in time can dramatically alter the impact on the population.
LanguageEnglish
Pages78-87
JournalMathematical Biosciences
Volume248
DOIs
StatusPublished - Feb 2014

Fingerprint

Population dynamics
Population Dynamics
Timing
Harvesting
population dynamics
Population
Allee Effect
Model
Extinction
extinction
Moment
Unimodal Map
Renewable Resources
breeding stock
renewable resources
Bimodal
Population Density
Population Size
Persistence
Breeding

Cite this

Harvest timing and its population dynamic consequences in a discrete single-species model. / Cid, Begoña; Hilker, Frank M.; Liz, Eduardo.

In: Mathematical Biosciences, Vol. 248, 02.2014, p. 78-87.

Research output: Contribution to journalArticle

Cid, Begoña ; Hilker, Frank M. ; Liz, Eduardo. / Harvest timing and its population dynamic consequences in a discrete single-species model. In: Mathematical Biosciences. 2014 ; Vol. 248. pp. 78-87.
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