What is Rabbits and Wolves? This game allows the user to simulate how nature keeps its balance and shows how wolves and rabbits would behave in their natural setting. The general rules of this applet are: Two rabbits cannot occupy the same section of grass. Two wolves cannot occupy the same section of grass. Each rabbit can only eat grass when he has not reached his maximum food capacity. (The maximum food capacity can be modified). A wolf will not eat a rabbit if the rabbit will make him surpass his maximum food capacity. (The maximum food capacity can be modified). Rabbits and wolves can only reproduce when they reach a certain age and have a sufficient amount of food. (The age of reproduction and amount of food required to reproduce can be modified). A rabbit cannot reproduce if there is a wolf around her. Rabbits and wolves can only move up, down, left, or right one space at a time. Rabbits and wolves die if they get too old or if there is insufficient food. (Maximum age can be modified). The grass growth rate is 1. (This growth rate can be modified). The rules for the births and deaths of rabbits and wolves are a bit more detailed. Let's begin with rabbits which have the following (adjustable) default parameters: Maximum food capacity: 45 units Metabolism rate: 3 units/stage Reproduction age: 10 stages Probability of reproduction in a suitable environment: 50% Minimum food requirement to reproduce: 40 units Maximum age: 25 stages A rabbit gives a food value of 10 to the wolf that eats it. Using this information, along with the general rules, the computer will determine whether each rabbit will live, die, or reproduce during each stage. Wolves have the following (adjustable) default parameters: Maximum food capacity: 200 units Metabolism rate: 2 units/stage Reproduction age: 10 stages Probability of reproduction in a suitable environment: 50% Minimum food requirement to reproduce: 120 units Maximum age: 50 stages Using this information, along with the general rules, the computer will determine whether each wolf will live, die, or reproduce at each stage. How To Use This Activity: This activity allows the user to see how wolves and rabbits would behave in their natural setting as an example of how nature keeps its balance. Controls and Output: The Start Simulation button on the top-left of the applet begins animating the interactions between the different elements (rabbits, wolves, and the grass) of the grid. It becomes the Pause Simulation button when pressed. There is also a Step Simulation button in the top-center of the applet that allows you to see the simulation step by step. (Avoid Step Simulation – it takes too long!) The Pause Simulation button allows you to pause the simulation and look at the current state of the grid. It becomes the Resume Simulation button when pressed. The Resume Simulation button allows you to resume the simulation after it has been paused. It becomes the Pause Simulation button when pressed. The Reset Simulation button sets up a new simulation based on the current parameters. The Forest Size menu allows you to select the size of the forest. (adjust how you want) The Speed scroll bar allows you to speed up and slow down the rate at which the applets displays the simulation. (Set the speed as fast as it can go!) The Forest Border menu allows you to choose between toroid and island. Toroid allows the rabbits to move off the screen on one edge and wind up on the opposite edge of the forest. Island does not allow them to move this way. The View Population Graph button opens a window that displays a graph of the number of rabbits, wolves, and grass per iteration. In the Population Graph window there is the Display Tabular Data button that allows you to see the numbers for the last 250 iterations. The View Cumulative Stats button allows you to view the population statistics for the current stage of the simulation. The View/Modify Parameters button opens a window that allows you to modify various settings of the simulation. The View Simulation Key button opens a window that displays a legend for the grid. Questions from the Rabbits and Wolves Game Go to: www.shodor.org/interactivate/activities/RabbitsAndWolves/ and play around with the game. Set the speed on fastest it will go. Adjust the parameters as you see fit. Your ultimate goal is to create a stable ecosystem between the grass, bunnies, and wolves. 1. What affect does a high population of bunnies have on the grass? 2. What affect does a high population of bunnies have on the wolves? 3. What affect does a low population of grass have on bunnies? 4. What affect does a low population of grass have on the wolves? 5. What affect does a low population of wolves have on the bunnies? 6. What affect does a low population of wolves have on the grass? 7. What would happen if there were lots more wolves than there are bunnies? Would the wolves take over and live forever? 8. What would happen if there were lots more bunnies than there were wolves? Would the bunnies take over and go on forever? 9. Were you able to create a stable ecosystem between the grass, bunnies, and wolves? If so, list your parameters: Maximum food capacity: Rabbit __________ Wolf ___________ Metabolism rate: Rabbit __________ Wolf ___________ Reproduction age: Rabbit __________ Wolf ___________ Probability of reproduction in a suitable environment: Rabbit ______ Wolf ________ Minimum food requirement to reproduce: Rabbit __________ Wolf ___________ Maximum age: Rabbit __________ Wolf ___________ A rabbit gives a food value of ____ to the wolf that eats it.