Mathematical modeling in biological populations through branching processes. Application to salmonid populations

被引：2

作者：

Molina, Manuel ^{[1
]}

Mota, Manuel ^{[1
]}

Ramos, Alfonso ^{[1
]}

机构：

[1] Univ Extremadura, Dept Math, Badajoz 06006, Spain

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2015年 / 70卷 / 1-2期

关键词：

Mathematical modeling; Population dynamics; Branching processes; Extinction; Nonparametric inference; GALTON-WATSON PROCESSES; EXTINCTION;

D O I：

10.1007/s00285-014-0762-2

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This work deals with mathematical modeling through branching processes. We consider sexually reproducing animal populations where, in each generation, the number of progenitor couples is determined in a non-predictable environment. By using a class of two-sex branching processes, we describe their demographic dynamics and provide several probabilistic and inferential contributions. They include results about the extinction of the population and the estimation of the offspring distribution and its main moments. We also present an application to salmonid populations.

引用

页码：197 / 212

页数：16

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