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Population persistence time under intermittent control in stochastic environments.

¹Faculty of Fisheries, Nagasaki University, Bunkyo 1-14, Nagasaki, 852-8521, Japan.

Theoretical Population Biology

|July 20, 2000

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Population management aims to prevent environmental degradation by controlling population size. Reducing control frequency can be economical, but drastic reductions increase extinction risk. Optimal strategies balance persistence time and management costs.

Area of Science:

Ecology
Environmental Science
Mathematical Biology

Background:

Environmental degradation is linked to critical population sizes.
Population control incurs costs, influencing management strategies.
Drastic population reductions may increase extinction risk due to environmental stochasticity.

Purpose of the Study:

To analyze the effects of population management on mean persistence time and management costs.
To develop theoretical models for population control strategies.
To propose cost indices for evaluating management practices.

Main Methods:

Theoretical analysis using a diffusion process model.
Explicitly modeling mean persistence time and control frequency.

Related Experiment Videos

Investigating the relationship between management costs and population persistence.

Main Results:

Mean persistence time and control frequency decrease with increased individuals removed per control.
Proposed cost indices show mean persistence time as an increasing function of these indices.
Continuous control may be cost-effective even with increasing per-control costs.

Conclusions:

Population management strategies must balance economic factors with ecological risks.
The number of individuals removed per control significantly impacts both persistence and frequency.
Cost-effective population control is achievable through optimized management practices.