A THEORY OF SUSTAINABLE HARVESTING

被引：12

作者：

LUDWIG, D ^{[1
]}

机构：

[1] UNIV BRITISH COLUMBIA,DEPT ZOOL,VANCOUVER,BC V6T 1Y4,CANADA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1995年 / 55卷 / 02期

关键词：

HARVESTING; SUSTAINABILITY; CATASTROPHES; UNCERTAINTY;

D O I：

10.1137/S0036139993269278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A problem of sustainable harvesting is formulated. The effects considered include continual small fluctuations in environmental conditions (Brownian motion), rare but large population decreases (Poisson noise), and uncertainty about the intrinsic growth rate for the population. The harvesting rate is a control variable that is chosen to keep the probability of early collapse or extinction below a prescribed level. Numerical solutions are obtained using adaptive boundary-value solvers and numerical integration. These are used to assess the accuracy of an approximate solution that is based upon simpler ''canonical'' problems.

引用

页码：564 / 575

页数：12

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