title: Mathematical modeling in biological populations through branching processes. Application to salmonid populations.
abstract: 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.
authors: Department of Mathematics, University of Extremadura, 06006 , Badajoz, Spain, mmolina@unex.es.
authors: Manuel
authors: M
authors: Molina
authors: Manuel
authors: M
authors: Mota
authors: Alfonso
authors: A
authors: Ramos
mesh_terms: D000818:Animals; D053476:Extinction, Biological; D005260:Female; D008297:Male; D055641:Mathematical Concepts; D008954:Models, Biological; D015233:Models, Statistical; D017684:Oncorhynchus kisutch / Q000502:physiology; D010140:Pacific Ocean; D011157:Population Dynamics / Q000706:statistics & numerical data; D012098:Reproduction; D012487:Salmonidae / Q000502:physiology*; D018709:Statistics, Nonparametric; D013269:Stochastic Processes