Growth-rate distributions of gut microbiota time series
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929684227293184 |
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| author | Brigatti, E. Azaele, S. |
| author_facet | Brigatti, E. Azaele, S. |
| contents | Logarithmic growth-rates are fundamental observables for describing ecological systems and the characterization of their distributions with analytical techniques can greatly improve their comprehension. Here a neutral model based on a stochastic differential equation with demographic noise, which presents a closed form for these distributions, is used to describe the population dynamics of microbiota. Results show that this model can successfully reproduce the log-growth rate distribution of the considered abundance time-series. More significantly, it predicts its temporal dependence, by reproducing its kurtosis evolution when the time lag $τ$ is increased. Furthermore, its typical shape for large $τ$ is assessed, verifying that the distribution variance does not diverge with $τ$. The simulated processes generated by the calibrated stochastic equation and the analysis of each time-series, taken one by one, provided additional support for our approach. Alternatively, we tried to describe our dataset by using a logistic neutral model with an environmental stochastic term. Analytical and numerical results show that this model is not suited for describing the leptokurtic log-growth rates distribution found in our data. These results support an effective neutral model with demographic stochasticity for describing the considered microbiota. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10624 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Growth-rate distributions of gut microbiota time series Brigatti, E. Azaele, S. Populations and Evolution Quantitative Methods Logarithmic growth-rates are fundamental observables for describing ecological systems and the characterization of their distributions with analytical techniques can greatly improve their comprehension. Here a neutral model based on a stochastic differential equation with demographic noise, which presents a closed form for these distributions, is used to describe the population dynamics of microbiota. Results show that this model can successfully reproduce the log-growth rate distribution of the considered abundance time-series. More significantly, it predicts its temporal dependence, by reproducing its kurtosis evolution when the time lag $τ$ is increased. Furthermore, its typical shape for large $τ$ is assessed, verifying that the distribution variance does not diverge with $τ$. The simulated processes generated by the calibrated stochastic equation and the analysis of each time-series, taken one by one, provided additional support for our approach. Alternatively, we tried to describe our dataset by using a logistic neutral model with an environmental stochastic term. Analytical and numerical results show that this model is not suited for describing the leptokurtic log-growth rates distribution found in our data. These results support an effective neutral model with demographic stochasticity for describing the considered microbiota. |
| title | Growth-rate distributions of gut microbiota time series |
| topic | Populations and Evolution Quantitative Methods |
| url | https://arxiv.org/abs/2311.10624 |