POPULATION-GROWTH AND DECLINE - A 4-PARAMETER GENERALIZATION OF THE LOGISTIC CURVE
POPULATION-GROWTH AND DECLINE - A 4-PARAMETER GENERALIZATION OF THE LOGISTIC CURVE
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DOI：
10.1016/s0022-5193(89)80237-1
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发表时间：
1989-12-19
影响因子：
2
通讯作者：
PONTIER, J
中科院分区：
文献类型：
--
作者：
JOLICOEUR, P;PONTIER, J
提出了一种描述种群增长和衰退的四参数逻辑斯谛曲线的推广。这种新模型的限制性情况包括逻辑和指数增长和下降。不像以前的推广，这是单调的，目前的渐近曲线下降后，达到一个单一的最大值。在自然种群的研究中，许多因素是相互作用的，种群增长最初可能会产生有益的影响，本模型可能比更复杂和限制性的理论模型更广泛地适用。本曲线的拟合和相应的对数正态变化带，通过乘法迭代加权最小二乘法的数据说明草履虫尾状草履虫的实验种群和男性Meromyza variegata捕获数量的季节变化。该模型也可以应用于单个生物体内的分子或细胞群体。
A four-parameter generalization of the logistic curve is proposed for the description of population growth and decline. Limiting cases of this new model include logistic and exponential growth and decline. Unlike an earlier generalization, which is monotonic, the present asymptotic curve declines after reaching a single maximum. In studies of natural populations, where many factors are interacting and where population growth may initially have beneficial effects, the present model may be more widely applicable than more complicated and restrictive theoretical models. The fitting of the present curve and of the corresponding log-normal variation belts through multiplicative iteratively-reweighted least squares is illustrated on data about an experimental population of Paramecium caudatum and about the seasonal change in the numbers of captures of male Meromyza variegata. This model could be applied also to populations of molecules or cells within individual organisms.