The following graph shows a population size increasing rapidly at first and then leveling off as it approaches a maximum limit. This pattern is representative of what type of population growth?

Step 2: Understand the concept of logistic growth. Logistic growth occurs when a population grows rapidly at first due to abundant resources but slows down as resources become limited, eventually stabilizing at the carrying capacity. The equation for logistic growth is often expressed as: $\mathrm{dN}/\mathrm{dt}=rN(1-N/K)$, where $N$ is the population size, $r$ is the intrinsic growth rate, and $K$ is the carrying capacity.