ReviewEcology and evolution2021
Understanding evolutionary and ecological dynamics using a continuum limit.
Review in Ecology and evolution, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- The Evolution of Polyclonal Competition in Aging Hematopoiesis.Cancer discovery · 2026Article
- Pattern Formation in Agent-Based and PDE Models for Evolutionary Games with Payoff-Driven Motion.Bulletin of mathematical biology · 2026Article
- Graph-structured populations elucidate the role of deleterious mutations in long-term evolution.Nature communications · 2025Article
- Limits on the evolutionary rates of biological traits.Scientific reports · 2024Article
- A stochastic analysis of the interplay between antibiotic dose, mode of action, and bacterial competition in the evolution of antibiotic resistance.PLoS computational biology · 2023Article
- Analyzing dynamic species abundance distributions using generalized linear mixed models.Ecology · 2022Article
- Weak Selection and the Separation of Eco-evo Time Scales using Perturbation Analysis.Bulletin of mathematical biology · 2022Article
- Understanding evolutionary and ecological dynamics using a continuum limit.Ecology and evolution · 2021Review
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2 authors.
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Abstract
Continuum limits in the form of stochastic differential equations are typically used in theoretical population genetics to account for genetic drift or more generally, inherent randomness of the model. In evolutionary game theory and theoretical ecology, however, this method is used less frequently to study demographic stochasticity. Here, we review the use of continuum limits in ecology and evolution. Starting with an individual-based model, we derive a large population size limit, a (stochastic) differential equation which is called continuum limit. By example of the Wright-Fisher diffusion, we outline how to compute the stationary distribution, the fixation probability of a certain type, and the mean extinction time using the continuum limit. In the context of the logistic growth equation, we approximate the quasi-stationary distribution in a finite population.
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