Predicting Coexistence in Fluctuating Environments

Environmental conditions change from season to season, altering how species compete for resources. This demonstration study explores a mathematical model in which differences in species responses can support coexistence. It illustrates how population models connect assumptions about environmental variation to predictions about biodiversity.

Environmental variability can alter competition and persistence in ecological communities. We consider a stochastic model of two competing populations whose growth rates respond differently to a shared environment. The model separates average growth, environmental sensitivity and the timing of density dependence. Analytical invasion criteria are compared with illustrative numerical simulations across a range of environmental autocorrelation and competition strengths.

The demonstration shows how asynchronous responses can create opportunities for a rare species to increase, while prolonged unfavorable conditions can reduce persistence in small populations. Comparing deterministic and stochastic formulations highlights the assumptions that govern predicted coexistence. The framework offers a worked example for connecting ecological mechanisms with population-level outcomes.

This abstract and its associated article are fictional content prepared for the PBMT design prototype.