C4.1.7
Growth with nothing in the way
Exponential growth occurs when resources are effectively unlimited relative to population size, so the population grows at a constant per-capita rate, producing a J-shaped curve.
- This typically happens in the initial phase of colonising a new environment, while numbers are still small enough that competition for resources is negligible.
- Real populations almost never sustain exponential growth for long — as numbers rise, density-dependent factors increasingly slow growth, and the idealised J-shaped curve is a simplification, not a literal prediction.
- This nature-of-science point matters generally: models like this curve are useful precisely because they simplify a genuinely more complex real system.
Case studyIn 1911, 25 reindeer were released on St Paul Island, Alaska. With plenty of lichen and no predators they grew almost exponentially, to about 2,000 by 1938, before overgrazing crashed the herd.