What is the relationship between per capita rate of increase, r, and the intrins

The per capita rate of increase, r, is an actual rate that varies with environmental conditions. The intrinsic rate of increase, rmax, is a theoretical rate of increase for a population of an organism increasing at a maximum rate under “ideal” conditions for the species. You can estimate the rmax of a species experimentally by providing ideal conditions for population growth and measuring rates of increase. Alternatively, if all other factors have been measured, rmax could be obtained from the equation for exponential or logarithmic growth.