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DOI | 10.1038/S41598-017-17070-1 | ||||
Año | 2017 | ||||
Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
The frequency of genes in interconnected populations and of species in interconnected communities are affected by similar processes, such as birth, death and immigration. The equilibrium distribution of gene frequencies in structured populations is known since the 1930s, under Wright's metapopulation model known as the island model. The equivalent distribution for the species frequency (i.e. the species proportional abundance distribution (SPAD)), at the metacommunity level, however, is unknown. In this contribution, we develop a stochastic model to analytically account for this distribution (SPAD). We show that the same as for genes SPAD follows a beta distribution, which provides a good description of empirical data and applies across a continuum of scales. This stochastic model, based upon a diffusion approximation, provides an alternative to neutral models for the species abundance distribution (SAD), which focus on number of individuals instead of proportions, and demonstrate that the relative frequency of genes in local populations and of species within communities follow the same probability law. We hope our contribution will help stimulate the mathematical and conceptual integration of theories in genetics and ecology.
Ord. | Autor | Género | Institución - País |
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1 | Marquet, PA | Hombre |
Pontificia Universidad Católica de Chile - Chile
Instituto de Ecologia y Biodiversidad - Chile ISCV - Chile Santa Fe Inst - Estados Unidos Instituto de Sistemas Complejos de Valparaíso - Chile Santa Fe Institute - Estados Unidos |
2 | Espinoza, Guillermo | Hombre |
Pontificia Universidad Católica de Chile - Chile
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3 | Abades, Sebastián | Hombre |
Universidad Mayor - Chile
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4 | Ganz, Angela | Mujer |
Pontificia Universidad Católica de Chile - Chile
Facultad de Matemáticas - Chile |
5 | REBOLLEDO-BERROETA, ROLANDO AQUILES | Hombre |
Pontificia Universidad Católica de Chile - Chile
Universidad de Valparaíso - Chile Facultad de Matemáticas - Chile |
Fuente |
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Fondo Nacional de Desarrollo Científico y Tecnológico |
Programa de Financiamiento Basal |
Fondo Nacional de Desarrollo CientÃfico y Tecnológico |
VRI-PUC |
ICM-MINECOM |
Santa Fe Institute |
PIA-CONICYT-Chile |
VRI-PUC Program on Biostochastics |
Agradecimiento |
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We acknowledge support from projects FONDECYT 1161023, PIA-CONICYT-ACT1112 "Stochastic Analysis Research Network" and VRI-PUC Program on Biostochastics. PAM also acknowledges support from projects ICM-MINECOM, P05-002 IEB, Programa de Financiamiento Basal, CONICYT PFB-23, PIA-CONICYT-Chile, Anillo SOC-1405, and the Santa Fe Institute for providing a stimulating environment while finishing writing the final version of the manuscript. We thank Sergio Rojas who wrote the numerical simulation programs for us and Aurora Gaxiola for comments on the final manuscript and help with the statistical analysis. The python codes used to do Figure 4 are available upon request from the corresponding author. |
We acknowledge support from projects FONDECYT 1161023, PIA-CONICYT-ACT1112 “Stochastic Analysis Research Network” and VRI-PUC Program on Biostochastics. PAM also acknowledges support from projects ICM-MINECOM, P05-002 IEB, Programa de Financiamiento Basal, CONICYT PFB-23, PIA-CONICYT-Chile, Anillo SOC-1405, and the Santa Fe Institute for providing a stimulating environment while finishing writing the final version of the manuscript. We thank Sergio Rojas who wrote the numerical simulation programs for us and Aurora Gaxiola for comments on the final manuscript and help with the statistical analysis. The python codes used to do Figure 4 are available upon request from the corresponding author. |