Optimal harvesting under stochastic fluctuations and critical depensation
Optimal harvesting under stochastic fluctuations and critical depensation
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DOI：
10.1016/s0025-5564(98)10018-4
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发表时间：
1998-08-15
影响因子：
4.3
通讯作者：
Alvarez, LHR
中科院分区：
文献类型：
--
作者：
Alvarez, LHR
在假定收获种群随机波动并受allee效应影响的情况下，我们考虑了从现在到灭绝期望累积产量最大化的最优收获策略的推导。利用随机微积分和经典的线性扩散理论，我们推导出了在满负荷进行采收时的最佳采收阈值和最优策略的值。与缺乏临界依赖关系的普通模型相反，我们表明，在最优策略下，allee效应的存在导致引入较低的收获阈值，种群应立即耗尽。此外，我们证明了贴现增加了收获的激励，因此，增加了收获种群很快灭绝的可能性。(C) 1998爱思唯尔科学有限公司版权所有。
We consider the derivation of the optimal harvesting strategy maximizing the expected cumulative yield from present up to extinction, under the assumption that the harvested population fluctuates stochastically and is subjected to an Allee-effect. By relying on both stochastic calculus and the classical theory of linear diffusions, we derive both the optimal harvesting thresholds at which harvesting should be initiated at full capacity and the value of the optimal strategy. In contrast to ordinary models which are absent of critical depensation, we show that the presence of an Allee-effect leads to the introduction of a lower harvesting threshold at which the population should be immediately depleted under the optimal policy. Moreover, we demonstrate that discounting increases the incentives to harvest and, therefore, increases the probability of a soon extinction of the harvested population. (C) 1998 Elsevier Science Inc. All rights reserved.