Abstract

Threshold harvesting removes the surplus of a population above a set threshold and takes no harvest below the threshold. This harvesting strategy is known to prevent overexploitation while obtaining higher yields than other harvesting strategies. However, the harvest taken can vary over time, including seasons of no harvest at all. While this is undesirable in fisheries or other exploitation activities, it can be an attractive feature of management strategies where removal interventions are costly and desirable only occasionally. In the presence of population fluctuations, the issue of variable harvests and population sizes becomes even more notorious. Here, we investigate the impact of threshold harvesting on the dynamics of both population size and harvests, especially in the presence of population cycles. We take into account semelparous and iteroparous life cycles, Allee effects, observation uncertainty, and demographic as well as environmental stochasticity, using generic mathematical models in discrete time. Our results show that threshold harvesting enhances multiple forms of population stability, namely persistence, constancy, resilience, and dynamic stability. We discuss plausible choices of threshold values, depending on whether the aim is resource exploitation, pest control, or the stabilization of fluctuations.

Highlights

  • The management of ecosystems often requires population harvesting

  • The strategy of threshold harvesting removes the entire excess of a population stock above a certain threshold value and takes no harvest if the stock is below the threshold

  • As a harvesting strategy that keeps the population at a constant ceiling, threshold harvesting can be seen as the antipode to the constant-quota harvesting strategy, which removes a constant quota from the population

Read more

Summary

Introduction

The management of ecosystems often requires population harvesting. Examples include the control of invasive species, removal of weeds, roguing of infected plants, regulation of pests such as defoliating insects, and the harvesting of fisheries and forestry. The strategy of threshold harvesting removes the entire excess of a population stock above a certain threshold value and takes no harvest if the stock is below the threshold In many instances, this strategy emerges naturally, e.g., when pests exceed economic injury. According to a review of harvesting strategies, threshold harvesting generally performs best for maximizing cumulative yield, mean annual yield, and profit in the absence of observation error (Deroba and Bence 2008) This has been found to hold under a wide range of assumptions (e.g., Ricker 1958; Clark 1976; Reed 1978, 1979, 1980; Ludwig 1979, 1980, 1998; Mendelssohn 1979; Mangel 1985; Lande et al 1995, 1997). Fisheries, natural resources management Threshold harvesting Fixed escapement Constant escapement Fixed stock Constant-stock-size strategy Optimal strategy Bang–bang Optimum stabilization of escapement Trigger harvest (upper) limiter control Physics, telecommunication, nonlinear dynamics Thresholding Flat-topped maps Simple limiter control

Conclusions
Findings
Period-halving bifurcations for simple unimodal maps
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call