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BunnieLand

See also:

• Tragedy of the Commons Plan
• Spring 2005 end of semester research writeup
• I-Light 05
• Experiment Schedule 2006-01-20
• Sheepsville Pilot Results Paper Outline
• Sheepsville Paper Ideas

The Lotka-Volterra Model has six parameters:

• H = density of prey
• P = density of predators
• r = intrinsic rate of prey population increase
• a = predation rate coefficient
• b = reproduction rate of predators per 1 prey eaten
• m = predator mortality rate

I'm not entirely sure why we don't see cycling. Even without considering the foxes, we should have all of the above:

• H = density of prey = health of the grass is the
• P = density of predators = the number of rabbits
• r = intrinsic rate of prey population increase = grass growth
• a = predation rate coefficient = hunger of rabbits
• b = reproduction rate of predators per 1 prey eaten = only living, fed rabbits reproduce
• m = predator mortality rate = death of rabbits

And of course the foxes have roughly the same behavior as the rabbits, so the same applies there. So why no cycles?

Strategies:

1. Simplify the model:
   • Temporarily ignore the foxes
   • Simplify breeding code
   • Have grass grow not incrementally, but as a percentage
   • Smaller grid; binary death state for grass
     • Then do we need random seeding?
2. Make a simple pixel visualization (to speed development)
3. Implement tragedy of the commons
   • Blue/Red/Green sheep
   • Wander all over the place
   • Eat the grass
   • Create wool?