Figure 3.

How proximity of an equilibrium influences the probability of stochastic extinctions. Prey abundance (top row) and predator abundance (bottom row) from a no‐evolution GEM with allometric parameterization (see text). The columns show the parameterization with the predator's death rate being 0.5, 0.75, 1, and 1.5 times that of the allometrically predicted rate. The far right panel shows the cumulative probability of extinctions as time passes in these simulations. The solid black lines show the standard ODE solution of Equation (1A), (1B), and the solid color lines show the median solution (shaded areas show the middle 50%) using a no‐evolution GEM that allows stochastic extinctions to occur. The key observation is that increasing the prey equilibrium reduces the chance of stochastic extinctions. Thus, evolutionary rescue may operate by raising equilibrium densities and reducing the chance of going extinct