Question

Using the logistic growth equation demonstrate why 2 aquatic fish in a large mesocosm (mini artificial ecosystem) that could sustain 300,000,000 fish would initially grow at a rate that is nearly exponential. ​ once this has been calculated, explain why this make sense from a biological perspective.

Answer 1

Two aquatic fish in a large mesocosm would initially exhibit exponential growth until the population reaches the carrying capacity. This makes sense from a biological perspective as competition for limited resources leads to a slower growth rate.

Step-by-step explanation:

In a large mesocosm that can sustain 300,000,000 fish, two aquatic fish would initially grow at a nearly exponential rate using the logistic growth equation. The logistic growth equation takes into account limited resources and competition between individuals.

Initially, with an abundance of resources available, the fish population would grow rapidly, following an exponential growth pattern. However, as the population approaches the carrying capacity of the mesocosm, the growth rate slows down and eventually levels off, leading to a more stable population.