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

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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.

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Acknowledgments

We would like to thank the referees and the associate editor for their constructive comments and interesting suggestions which have improved the paper. This research has been supported by the Gobierno de Extremadura (Grant GR10118), the Ministerio de Economía y Competitividad of Spain (Grant MTM2012-31235) and the FEDER.

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Authors and Affiliations

  1. Department of Mathematics, University of Extremadura, 06006 , Badajoz, Spain

    Manuel Molina, Manuel Mota & Alfonso Ramos

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  1. Manuel Molina
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  2. Manuel Mota
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  3. Alfonso Ramos
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Correspondence to Manuel Molina.

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Molina, M., Mota, M. & Ramos, A. Mathematical modeling in biological populations through branching processes. Application to salmonid populations. J. Math. Biol. 70, 197–212 (2015). https://doi.org/10.1007/s00285-014-0762-2

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  • DOI: https://doi.org/10.1007/s00285-014-0762-2

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