Explore different probability settings and different locations where the fire starts. Number of neighbors of the trees is key idea.
Exercise in Upward Bound Math and Science statistics class using Estimating Percent and different sample sizes to come up with logistic elongated S curve and graph it.
Use the function flyer tool to explore the initial guess of the students as to what the function looks like for percent of forest burned and the density of the trees.
Use the Interactivate GraphIt package to graph the ordered pairs for the 40 students samples for the intervals of different densities, as done on the first day of the Calvin NCSI conference.
Based on #11 assignment:
Develop a fire simulation in which a tree that catches fire in one time step takes five additional time steps to burn. The fire can spread from the burning tree to a neighboring tree with a certain probability only on the second, third, and fourth time steps after the lightning strike. The first step the tree, the fire is not yet extensive enough to transfer to a neighboring tree. The last step the tree that has almost finished burning is just becoming embers with less flames and there is no chance of reaching a neighboring tree that has been lucky enough to not catch fire during steps 2, 3, and 4 of the fire.
See Chapter 12 High-Performance Computing Simpler forest fire model. 1. Will use the 8 nearest neighbors. 2. Probability of a tree catching fire if a neighbor is on fire will be .1, .2, .3, ..., .9 so there are only 10 different levels of probability. 3. When the given forest is input and one tree catches fire, every possible outcome will be explored and the metrics for it will be obtained and stored. 4. Algorithm will use a stack to store the configuration of the fire and forest state. 5. Available processors will check stack and grab a configuration initially whenever they are finished with a process or waiting for a task to do. 6. Algorithm will be implemented in Excel VBA language with a delay built in to each step so that the students can see the backtracking when a fire burns out to try another option from that configuration. 7. With 8 nearest neigbors for each tree to check, we have 256 possible configurations to check for a tree that is surrounded by 8 trees. 00000000 represents none of the 8 neighbors catching fire. 11111111 represents all of the 8 neighbors catching fire.