Understanding evolutionary and ecological dynamics using a continuum limit

Continuum limits in the form of stochastic differential equations are typically used theoretical population genetics to account for genetic drift or more generally, inherent randomness model. In evolutionary game theory and ecology, however, this method is less frequently study demographic stochasticity. Here, we review use continuum ecology evolution. Starting with an individual-based model, derive a large size limit, (stochastic) equation which called limit. By example Wright–Fisher diffusion, outline how compute stationary distribution, fixation probability certain type, mean extinction time using context logistic growth equation, approximate quasi-stationary distribution finite population.