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Estimation of parameters in biological species with several mating and reproduction alternatives.
Mathematical Biosciences ( IF 1.9 ) Pub Date : 2020-09-14 , DOI: 10.1016/j.mbs.2020.108471
Manuel Molina 1 , Manuel Mota 1 , Alfonso Ramos 2
Affiliation  

With the purpose of modeling the demographic dynamics of biological species in which different mating and reproduction alternatives are feasible, in Molina et al. (2014) we introduced a new mathematical model based on discrete-time branching processes. Assuming that the reproduction phase is governed by probability distributions belonging to the power series family, some reproductive parameters for such species were estimated. In this work, in a more general statistical context, we generalize this research. By considering observations, until a given generation, of the number of female and male individuals in each generation, we now investigate several inferential questions about the parameters of biological interest included in the mathematical model. We study such questions using procedures based on Bayesian statistical methodology. We apply the proposed methods to describe the dynamics of salmonid species.



中文翻译:

用几种交配和繁殖替代方法估算生物物种中的参数。

为了模拟生物物种的人口动态,可以在其中进行不同的交配和繁殖。(2014),我们引入了基于离散时间分支过程的新数学模型。假设繁殖期受幂级​​数族的概率分布支配,则估计了此类物种的一些繁殖参数。在这项工作中,在更一般的统计背景下,我们对这项研究进行了概括。通过考虑观察直到某一代,每一代中的女性和男性个体的数量,我们现在研究关于数学模型中所包含的生物学兴趣参数的几个推论性问题。我们使用基于贝叶斯统计方法的程序研究此类问题。

更新日期:2020-09-18
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