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Mon. Jul 7, 2025

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Coexistence theory for species pools: tractable insight from the cavity method

Population dynamics models and mathematical techniques from dynamical systems theory have played a foundational role in shaping community and ecosystem ecology theories in the mid to late 20th century. However, since the 1990s, advancements in empirical methods have enabled the study of high-dimensional systems and ecological patterns across both larger spatial scales and finer spatial-temporal resolutions. These advances have led to new research focuses, such as high-dimensional community dynamics, community-ecosystem linkages, and transient or rapid shifts in ecosystem states, for which other quantitative approaches, such as statistical modeling and bioinformatics, sometimes provide more effective solutions than traditional population dynamics frameworks. When population dynamics models are applied to these emerging areas, researchers increasingly rely on numerical simulations, which, while powerful, often provide less quantitative insights compared to traditional mathematically tractable analyses. As community and ecosystem ecology rapidly evolves, there is a growing demand for new mathematical and modeling approaches. This symposium will present emerging approaches—such as those from statistical physics, thermodynamics, state-space reconstruction, and stochastic theory—and discuss how these tools can enhance our understanding of community and ecosystem dynamics.

Emerging Mathematical and Modeling Approaches in Community and Ecosystem Ecology

Joint Meeting of Asian Conference for Mathematical Biology and Annual Meeting of Japanese Society for Mathematical Biology (ACMB-JSMB2025)

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[SS08-01]Coexistence theory for species pools: tractable insight from the cavity method

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