Beverton and Holt life history invariants result from optimal trade-off of reproduction and survival
Beverton and Holt life history invariants result from optimal trade-off of reproduction and survival
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DOI：
10.1139/cjfas-53-4-820
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发表时间：
1996-04-01
影响因子：
2.4
通讯作者：
Jensen, AL
中科院分区：
文献类型：
--
作者：
Jensen, AL
Beverton 和 Holt 不变量是生命史参数之间的三个特殊关系：Mx(m) = C-1、M/K = C-2 和 L(x(m))/L(inf) = C-3，其中 M 是每个个体的瞬时自然死亡率，x(m) 是成熟年龄，K 是 von Bertalanffy 生长系数，L(x(m)) 是成熟长度，L(inf) 是渐近长度， C-1、C-2 和 C-3 是常数。在这项研究中，贝弗顿和霍尔特不变量是通过繁殖力函数的最大化获得的，该函数优化了生存和繁殖力之间的权衡。该方法应用传统渔业模型并提供常数 C-1、C-2 和 C-3 的估计值。这些估计值可以与跨物种和跨物种内种群的 x(m) 的 1/M、K 的 M 和 L(inf) 的 L(x(m)) 回归获得的估计值进行比较。从跨物种回归获得的常数值与常数的理论值非常一致。在渔业评估中，自然死亡率通常使用生长参数来近似，本文报告的分析表明，这些关系不仅仅是统计关系，而是参数之间基本生态关系的结果。
The Beverton and Holt invariants are three special relations among life history parameters: Mx(m) = C-1, M/K = C-2, and L(x(m))/L(inf) = C-3, where M is the instantaneous natural mortality rate per individual, x(m) is age at maturity, K is the von Bertalanffy growth coefficient, L(x(m)) is length at maturity, L(inf) is asymptotic length, and C-1, C-2, and C-3 are constants. In this study the Beverton and Holt invariants were obtained from maximization of the fecundity function that optimizes the trade-off between survival and fecundity; this approach applies conventional fishery models and provides estimates of the constants C-1, C-2, and C-3. These estimates can be compared with the estimates obtained by regression of 1/M on x(m), M on K, and L(x(m)) on L(inf) across species and across populations within species. The values of the constants obtained from regression across species agree closely with the theoretical values of the constants. In fishery assessments, natural mortality is often approximated using growth parameters, and the analyses reported here indicate that the relations are not just statistical relations, but rather result from fundamental ecological relations among the parameters.