Natural Complexity: a Modelling Handbook



This Web page contains links to animations complementing the book Natural Complexity: a Modelling Handbook, published in June 2017 by Princeton University Press.

Paul Charbonneau,
Département de physique
Université de Montréal
paulchar@astro.umontreal.ca


Chapter 6: Forest Fires

These are two animations of the forest fire model on a 100X100 lattice, both in their statistically stationary state. Live trees are in green, burning trees in red.

This first one uses the same parameter values as on Figure 6.2 (pg =10-3, pf =10-5):

This second one uses pg =10-2, pf =10-4, as on the bottom panel of Figure 6.4:


Chapter 9: Epidemics

This is an animated versions of a simulation with same parameter settings as Figures 9.2, 9.3 and 9.5A. Healthy agents are colored in green, sick agents in red, and dead agents in gray. Note how the epidemic almost extinguishes itself on a few occasions, but manage to flare up again:

This is a similar simulation using the same parameters as the preceding one, but now using an initial population 50 percent larger. The epidemic now propagates steadily as a well defined front moving here towards the left:


Chapter 10: Flocking

This is an animated versions of a simulation with same parameter settings as Figure 10.6. Initial velocities are much higher than the target velocity, and therefore drop rapidly in the first few timesteps. Note the transient clockwise vortex forming at the upper right in the early stages of the simulation:

These four animations correspond to the four solutions displayed on Figure 10.7. Positions (left) and velocity vectors (right) of passive agents are plotted in green, active agents in red. The random initial distribution of agents leads to very strong initial accelerations, and thus velocities, for agents standing within each other's repulsion radius, but again drop rapidly in the first few timesteps.

Simulation at low compactness:

Simulation at medium compactness:

Simulation at high compactness:

Simulation at very high compactness:


Chapter 11: Pattern Formation

These are animated versions of Figure 11.5A and 11.5B. The initial condition is random and the first 600 iterations are omitted from the animations.

This one is Figure 11.5A:

And this one Figure 11.5B:



-Last Revised 24 May 2017 by paulchar@astro.umontreal.ca.