In which population growth model does a J-shaped curve typically appear?

The exponential growth model is characterized by a J-shaped curve, which represents the rapid increase in population size over time when resources are plentiful and environmental conditions are ideal. This model depicts how a population can grow without any significant limitations, leading to a steep rise in numbers as each generation has the potential to produce more offspring. The growth rate remains constant, and as long as there are no constraints such as limited resources, disease, or competition, the population continues to expand at an accelerating rate, forming that distinctive J shape when graphed.

In contrast, other growth models demonstrate different dynamics. The logistical growth model, for example, creates an S-shaped curve as it incorporates carrying capacity—the maximum population size that the environment can sustain—resulting in initial exponential growth that slows down as the population approaches that limit. The linear growth model suggests a constant addition of individuals over time, which does not accurately reflect biological growth rates in natural environments. Lastly, a constant growth model typically implies a steady increase, which also differs fundamentally from the characteristic explosive growth observed in the exponential model.