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

Mathematical Biosciences
Begoña CidEduardo Liz

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 fir...Continue Reading

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Citations

Mar 27, 2015·Mathematical Biosciences and Engineering : MBE·Eduardo Liz, Alfonso Ruiz-Herrera
Jun 21, 2017·Ecology Letters·Frédéric BarraquandRebecca C Tyson
Sep 5, 2019·Journal of Mathematical Biology·Frank M Hilker, Eduardo Liz
Aug 23, 2019·Journal of the Royal Society, Interface·Sanyi TangRobert A Cheke

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