Rabbits and Wolves Exploration Predator – Prey Simulation Activity http://www.shodor.org/interactivate/activities/rabbits/index.html Questions In this applet allows the user to simulate how nature keeps its balance. Experiment with the settings in the Rabbits and Wolves Activity to achieve sustainable populations. Rabbits and Wolves Help 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. This Java applet requires a Java-capable browser. If you don’t see the applet Java, it may not be functional in your browser or on your machine. 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. 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. The Speed scroll bar allows you to speed up and slow down the rate at which the applets displays the simulation. 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. Rules and Default Parameters 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). Rabbits and wolves can move in any direction (including diagonally) 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 Rabbits give a food value of 10 to the wolves when eaten. 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. APES Investigations Procedures A. 1. 2. 3. 4. Default Simulation Select “View Population Graph” and drag it to the right side to maintain access to all the buttons. Select “Start Simulation.” Stop the simulation after extinctions make it pointless. Record the number of peaks for each species & the stage at which any species went extinct. B. 1. 2. 3. 4. 5. 6. 7. 8. Controlled Experiments - Change only 1 Select “View/Modify Parameters.” Choose "View/Modify Rabbit Parameters" or "View/Modify Wolf Parameters." Change & record ONE & ONLY ONE parameter of your choice. Close the parameter window so that only the Population Graphs & Forest chart are visible. Start Simulation. Stop simulation after extinctions make it pointless. Record the number of peaks for each species & the stage at which any species went extinct. Repeat 1-7 for each trial until you achieve a sustainable system with no extinctions. C. Analysis For each trial describe what difference the change made to the results. Rabbits and Wolves Exploration Predator – Prey Simulation Data Table Trial Rabbits Maximum food capacity: Metabolism rate: Reproduction age: Probability of reproduction in a suitable environment: Minimum food requirement to reproduce: Maximum age: Rabbit food value to the wolves when eaten. Wolves Maximum food capacity: Metabolism rate: Default 20 45 units 3 units/stage 10 stages 50% 40 units 25 stages 10 200 units 2 units/stage 10 stages 50% Reproduction age: Probability of reproduction in a suitable environment: 120 units Minimum food requirement to reproduce: 50 stages Maximum age: Forest Size Grass Peaks Rabbit Peaks Wolf Peaks Grass Extinction Stage Rabbit Extinction Stage Wolf Extinction Stage Medium 1 2 3 4 5 6 7 8 9 C. Analysis For each trial describe what difference the change made to the results. 1. 2. 3. 4. 5. 6. 7. 8. 9.