Dynamic maximum entropy provides accurate approximation of structured population dynamics

Bod’ová K, Szep E, Barton NH. 2021. Dynamic maximum entropy provides accurate approximation of structured population dynamics. PLoS Computational Biology. 17(12), e1009661.


Journal Article | Epub ahead of print | English

Scopus indexed
Abstract
Realistic models of biological processes typically involve interacting components on multiple scales, driven by changing environment and inherent stochasticity. Such models are often analytically and numerically intractable. We revisit a dynamic maximum entropy method that combines a static maximum entropy with a quasi-stationary approximation. This allows us to reduce stochastic non-equilibrium dynamics expressed by the Fokker-Planck equation to a simpler low-dimensional deterministic dynamics, without the need to track microscopic details. Although the method has been previously applied to a few (rather complicated) applications in population genetics, our main goal here is to explain and to better understand how the method works. We demonstrate the usefulness of the method for two widely studied stochastic problems, highlighting its accuracy in capturing important macroscopic quantities even in rapidly changing non-stationary conditions. For the Ornstein-Uhlenbeck process, the method recovers the exact dynamics whilst for a stochastic island model with migration from other habitats, the approximation retains high macroscopic accuracy under a wide range of scenarios in a dynamic environment.
Publishing Year
Date Published
2021-12-01
Journal Title
PLoS Computational Biology
Acknowledgement
Computational resources for the study were provided by the Institute of Science and Technology, Austria.
Acknowledged SSUs
Volume
17
Issue
12
Article Number
e1009661
ISSN
eISSN
IST-REx-ID

Cite this

Bod’ová K, Szep E, Barton NH. Dynamic maximum entropy provides accurate approximation of structured population dynamics. PLoS Computational Biology. 2021;17(12). doi:10.1371/journal.pcbi.1009661
Bod’ová, K., Szep, E., & Barton, N. H. (2021). Dynamic maximum entropy provides accurate approximation of structured population dynamics. PLoS Computational Biology. https://doi.org/10.1371/journal.pcbi.1009661
Bod’ová, Katarína, Eniko Szep, and Nicholas H Barton. “Dynamic Maximum Entropy Provides Accurate Approximation of Structured Population Dynamics.” PLoS Computational Biology, 2021. https://doi.org/10.1371/journal.pcbi.1009661.
K. Bod’ová, E. Szep, and N. H. Barton, “Dynamic maximum entropy provides accurate approximation of structured population dynamics,” PLoS Computational Biology, vol. 17, no. 12. 2021.
Bod’ová K, Szep E, Barton NH. 2021. Dynamic maximum entropy provides accurate approximation of structured population dynamics. PLoS Computational Biology. 17(12), e1009661.
Bod’ová, Katarína, et al. “Dynamic Maximum Entropy Provides Accurate Approximation of Structured Population Dynamics.” PLoS Computational Biology, vol. 17, no. 12, e1009661, 2021, doi:10.1371/journal.pcbi.1009661.
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