Names: ________________________________________________________ Pd. __________ Environmental Systems: 7A - Relate Carrying Capacity to Population Dynamics Process TEKS: 2A, 2E, 2F, 2I Predator Prey Lab (Adapted from Lab Investigations for AP Environmental Science) Purpose: - Simulate and analyze the interactions between a predator population of coyotes and a prey population of mice. - Organize and graph data from the simulation, predicting future populations over several generations - Compare simulation results to data taken from nature, and apply revised simulation techniques to new population problems. - Define carrying capacity Introduction: Predator-prey interactions in a community are usually a feedback mechanism. The prey population has a positive effect on predator numbers, but the predator population has a negative effect on prey populations. The predator prey relationship can be represented as changing cyclically with a phase diagram, as shown in figure 1: Figure 1: 1. Describe another relationship you have seen that would be a feedback mechanism like the predator prey model. ___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ In the lower right quadrant, as the predator population rises, the prey population also rises. But as the predator numbers reach a particular value, the prey population starts to decrease, followed by an eventual decrease in the Names: ________________________________________________________ Pd. __________ predator population as well (upper left quadrant). In time, the predator population becomes small enough for the prey numbers to rebound and the process continues into another cycle. In nature, the cycles are more complex than the diagram above, as there are many other influences on populations in the wild. 2. Describe three other environmental pressures that might affect the relationship between mice and coyotes. ___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ In this investigation, we will focus only on the predator-prey relationship. Materials: - Masking Tape - Graph Paper - Model Coyotes and Mice Procedure: Your lab group will determine the prarameters of the simulation. You will need to determine the following before beginning: 1. How large is your field? (HINT: Use tiles on the floor as a measurement tool) ___________________________________________________________________________________________ a. Mark the field with Masking Tape 2. How many mice are found in your sample ecosystem to begin with? ____________________________________ a. Place that many small squares in your field. 3. How many mice does 1 coyote need to consume in order to survive and reproduce (1 pup)? ________________ a. A coyote is the large square 4. How many mice above the minimum must a coyote consume to survive and reproduce (2 pups? 3?)? ___________________________________________________________________________________________ Once you have your parameters set, you will need to create a data table and a graph. You will complete your data as you go in order to see the relationship you have created with your parameters. 1. Create your data table on a separate sheet of paper. 2. Create your graph (fully labeled) (HINT: You will probably need two Y-axis). 3. Based on your data table and your graph, what is the independent variable in this simulation? ___________________. The dependent variable? ____________________________________ Names: ________________________________________________________ Pd. __________ You are now ready to complete the simulation. a. Drop your starting number of mice into your ecosystem, this should be done randomly b. Drop a coyote into your ecosystem. He has arrived via immigration. c. Count the number of mice directly under the coyote. This is the number of mice he consumed. d. Fill in your data table for the coyote and determine if the coyote was able to reproduce. e. For every mouse that was not consumed, one offspring was produced (example – 25 mice were left after the first generation, there would be 50 in the next). f. Fill in your data table for mice g. Complete your graph h. Repeat steps b-f for at least 15 generations. i. If your coyote is unable to reproduce, or if at any time you drop to zero coyotes, bring 1 in for the next generation through immigration. ii. If the mice population drops to zero, start again with your initial number of mice. i. After 15 generations, analyze your data. If you do not see a pattern, change your parameters from the last 15 generations and make a note of them below. Continue the lab for 15 more generations. If you do see a pattern emerging, explain what you are seeing and continue for another 15 generations. _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Attach your completed data table (30 generations/years) and completed graph (labeled and plotted). Show this to Mrs. Gahan to get the analysis questions. Names: ________________________________________________________ Pd. __________ Predator Prey Lab Analysis: 1. What do you predict would happen to your results if your system was disturbed by some unforeseen, outside forces? To answer a and b, first draw the last cycle of your experimental graph free-hand. Continue to sketch the graph for three additional cycles to display your prediction. a. Explain what would happen if some coyotes died of disease or were hit by cars. Sketch Graph Here: Explain Your Prediction: b. Explain what would happen to the prey populations in the event of a fire or the introduction of a new predator population (like a red-tail hawk). Sketch Graph Here: Explain Your Prediction: c. Does it matter at what point in your cycle the disturbance occurs? Explain why or why not. _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 2. Compare your data and graph to the others in the class. a. Which parameters made the largest difference to your data? (size, number of prey, number of prey required to reproduce, etc.) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Names: ________________________________________________________ Pd. __________ b. Predict why those parameters were so important to the simulation. _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ c. What parameters could we add or change in order to better model a natural system? ________________________________________________________________________________________ ________________________________________________________________________________________ _______________________________________________________________________________ 3. Describe the peaks and valleys of your data. ___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ a. The peaks of the graph are described as Carrying Capacity in ecology. Define Carrying Capacity in your own words. Complete a Marzano Template. My Understanding Word: CARRYING CAPACITY ____________ Definition: _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ Picture: Connected Words or Ideas (At least 5)