Population Dynamics
This set of simulations allows one to explore different models of population dynamics with sterile and fertile "things".
Notes:
There is a simulation properties window that is likely covered up.
Depending on your version of AgentSheets and memory, some worksheets need to be "reset" before running to load completely.
Calumet1 worksheet
This worksheet is populated by a large number of sterile, immortal "things".
They do not reproduce, they do not die. If P is the total number of "things", then
this is dP/dt = 0, that is "The change in the number of things in any given time is zero."
Calumet2 worksheet
In this worksheet, a "spigot" creates a new, sterile "thing" at a constant rate. If P is the total
number of "things" then this is dP/dt = c, that is "Over a fixed time change, the change in the number of things is a constant."
Depending on the order in which you execute the worksheets, set the graph scale to 500 or so for its max value.
Calumet3 worksheet
In this worksheet, the world starts with one fertile "thing", and in any given time step, there is a chance that any fertile "thing"
could make a new fertile "thing" if there is an adjacent space to put the new fertile "thing". If P
is the total number of "things" then this is dP/dt = bP, where b is the probability of any one of the fertile "things" reproducing,
that is "the rate of production is proportional to the population, or the number of things is changing over time because some of the
things are making new things.