Alimov A F, Kazantseva T I
Zoological Institute, RAS, 199034 St.-Petersburg, Russia.
Zh Obshch Biol. 2004 Jan-Feb;65(1):3-18.
We consider an ideal population with a stable age composition changing according Lotka equation. Additional assumptions are made concerning the constancy of population size, independence of specific mortality rate on age, and linear dependence of female fecundity on its weight. A relationship has been obtained [formula: see text] where N0 is initial numbers of a generation, N[alpha, omega] is total numbers of the mature part of the population, w[alpha, omega] is a mean weight of a mature individual, s is sex ratio, c is specific fecundity (per unit of weight) and l0 is the probability of larval surviving. The growth of an individual is described by the Bertalanffy function. Methods of calculation of life history parameters are discussed. A method is proposed to calculate the age of maturity (alpha) and at the end (omega) of the reproduction period as first and second inflection points of the growth rate curve. Based upon data on development of 27 populations of several species of fishes of inland waters of Russia the following relationship have been obtained: [formula: see text] for populations with [formula: see text] < or = 100 g, [formula: see text] for populations with [formula: see text] > 100 g, and [formula: see text] for all populations.
我们考虑一个具有稳定年龄组成的理想种群,其年龄组成根据洛特卡方程变化。关于种群数量的恒定、特定死亡率与年龄的独立性以及雌性繁殖力与其体重的线性相关性,我们做出了额外的假设。已得到一种关系[公式:见原文],其中N0是一代的初始数量,N[α, ω]是种群成熟部分的总数,w[α, ω]是成熟个体的平均体重,s是性别比,c是特定繁殖力(每单位体重),l0是幼虫存活概率。个体的生长由贝塔朗菲函数描述。讨论了生活史参数的计算方法。提出了一种方法,将成熟期的年龄(α)和繁殖期结束时的年龄(ω)计算为生长率曲线的第一个和第二个拐点。基于俄罗斯内陆水域几种鱼类27个种群的发育数据,得到了以下关系:对于体重[公式:见原文]≤100克的种群,[公式:见原文];对于体重[公式:见原文]>100克的种群,[公式:见原文];对于所有种群,[公式:见原文]。