7.2. Model Behavior

Two major characteristics of the behavior of Leslie model:
  • A few damping oscillations are followed by an exponential growth
  • Age distribution approaches a stable age distribution
These 2 features can be seen in the graphs that show simulations of sheep population dynamics:

In this simulation we started from a population of 100 new-born sheep:

The first graph shows exponential population growth (it becomes linear in a log scale) after several initial years. The second graph shows convergence of age distribution to a stable age distribution.

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Alexei Sharov 1/12/96