## Visualizing a population growth model

Let’s take a closer look at the continuous-time logistic model.
We’ll now explore a new variable,
${r}_{\text{realized}}$, which represents the realized per capita growth rate: the
*actual*
growth rate of the population per individual. Unlike the
*maximum* per capita growth rate
${r}_{\text{max}}$, which is a constant,
${r}_{\text{realized}}$
will change as the population grows.

**Click on the three points highlighted on the lionfish population
growth curve in the graph below.**
For each point you click, you will get more information about the
population growth rates (both the overall growth rate
$\frac{dN}{dt}$
and the per capita growth rate
${r}_{\text{realized}}$) at that time. The estimated numbers of lionfish at that time will
also appear, separated into two groups: adults and juveniles. The
adults, shown in white, are fish that were present at the
*start* of that year. The juveniles, shown in blue, are new
fish that were added to the population *during* that year.