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Title: A parametrical model to describe a stable and stationary age structure for fossil populations
Authors: Martín-González, Jesús Ángel
Mateos Cachorro, Ana
Rodríguez-Gómez, Guillermo
Rodríguez, Jesús
Keywords: Mathematical models;Age structure population;Leslie matrix;Fossil sample
Issue Date: Aug-2016
Publisher: Elsevier
Citation: Quaternary International, 2016, 413, Part B, 69-77
Abstract: A parametric family of models based on the Weibull model was proposed to describe the age structure of a fossil population. This descriptive approach was combined with a population dynamics model based on the Leslie matrix. The stability and sustainability conditions were algebraically stated to provide an equilibrium equation for any species. The model parameters for a sustainable population were determined via numerical methods. These values represent the survival and mortality profiles for a sustainable population and are comparable between different populations. This approach tests whether an observed mortality profile might correspond to the natural mortality pattern of a stable population. Finally, the model performance was tested for three fossil Bison priscus populations (Il'Skaya, Mauran and Coudoulous) using literature data.
ISSN: 1040-6182
DOI: 10.1016/j.quaint.2016.01.038
Type: Article
Appears in Collections:Paleobiología

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