Garden with Insight
Garden with Insight v1.0 Help: exponential
An exponential curve is a graph whose slope increases constantly. A
good example of an exponential curve is the size of a theoretical
population of rabbits living in a place with no limits on food, no predators, no disease, and ample space.
Each rabbit has several offspring, each of its offspring has several offspring, and so on. The size of the
rabbit population grows exponentially.
In nature there are no truly exponential curves because there are real limits on the growth of everything.
But exponential portions of growth curves are found often in nature, usually when the normal
limits on growth are reduced for some reason.
Exponential curves are often used to simulate potential or unrestrained
growth as an upper bound. Actual growth is determined by reducing potential growth for environmental
limitations such as food shortages. In this simulation exponential curves are used to simulate many things,
from precipitation (the modified exponential curve) to growth. Most exponential curves in the simulation
are limited by making them S curves, in which the exponential portion
of the curve is balanced by a plateau later on.