Probability of Mitochondrial Lineage Extinction in Female Offspring, Modern and Paleolithic: Branching Process Analysis
- Autores: D’Amore G.1, Orru A.2, Frederic P.3, Di Bacco M.1
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Afiliações:
- BiostAT
- Department of Life Sciences and Systems Biology
- Dipartimento di Economia Marco Biagi
- Edição: Volume 54, Nº 9 (2018)
- Páginas: 1120-1123
- Seção: Short Communications
- URL: https://journals.rcsi.science/1022-7954/article/view/189164
- DOI: https://doi.org/10.1134/S1022795418090028
- ID: 189164
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Resumo
We evaluate the probability of extinction of the female offspring of two populations of women: the one Paleolithic, the other that of Italy today. In both cases it is assumed that possible extinction arises exclusively on account of limitations in the degree of fertility and/or an imbalance in the sex-ratio of the population. The value is obtained as the probability that a Branching Process describing the evolution of the offspring by a progenitor degenerates to a “Blank Generation,” that is, a generation without women. Mathematically, it derives from a solution between 0 and 1 of a linear equation whose coefficients are the probabilities that a single progenitor breeds various integer numbers of daughters. We evaluated such probabilities by consulting literature. The probability of branch extinction is also the probability of extinction of progenitor’s mitochondrial lineage.
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Sobre autores
G. D’Amore
BiostAT
Email: patrizio.frederic@unimore.it
Itália, Asti, 14100
A. Orru
Department of Life Sciences and Systems Biology
Email: patrizio.frederic@unimore.it
Itália, Turin, 10124
P. Frederic
Dipartimento di Economia Marco Biagi
Autor responsável pela correspondência
Email: patrizio.frederic@unimore.it
Itália, Modena, 41121
M. Di Bacco
BiostAT
Email: patrizio.frederic@unimore.it
Itália, Asti, 14100