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You are a mysterious, bear-eating predator found only in the forests of Tedditopia. There are two kinds of bears in the forest that you like to eat: polar bears and brown bears. During hibernation, new bears are born every year; the birth rate is one bear for every bear that survives the winter. Part 1: Natural Selection Simulation 1. Get with a partner from your square group, wash your hands, and obtain 10 polar bears and 10 brown bears. Place your population on a paper towel on your desk. 2. Record the number of polar bears and brown bears, and the total population in your data table below. This population is your first generation. 3. Eat the three easiest to catch bears based on their environment. Do not just pick your favorite kind of bear 4. Obtain a second generation of bears equal to the surviving population. Add these new bears to your old ones and chart the population numbers. 5. Repeat steps 3 and 4 until you have four generations recorded in your data table. 6. Calculate the percentage of polar bears and brown bears for each generation and enter these calculations in your data table. 7. On a single graph, plot your data comparing generation and percentage of bears. Part 1 Data Table Generation Brown Bears Polar Bears 1 2 3 4 Flip the paper over! Total Bears % Brown Bears % Polar Bears Part 2: Hardy-Weinberg Calculations After extensive genetic studies, it has been determined that the polar bear and brown bear are actually of the same species. The coloration difference is a result of genes in which the recessive gene expresses a lack of pigment. The polar bear then has a genotype of dd. The pigmented trait is dominant, therefore that brown bears have a genotype of either DD or Dd. Use your data from Part 1 and the Hardy-Weinberg formula to determine the data for your data table in Part 2. Find p2, 2pq, q2, p and q for each of the four generations. Remember that: p2 + 2pq + q2 = 1 and p + q = 1 Example: If you have 4% polar bears, then q2 = 0.04 and q = 0.2 Since p + q = 1, then p = 0.8 If p = 0.8, then p2 = 0.64 2pq = 2(0.8)(0.2) = 0.32 To check that your calculations are correct: p2 + 2pq + q2 = 1 0.64 + 0.32 +0.04 = 1 Part 2 Data Table Generation q2 q p p2 2pq p2 + 2pq + q2 1 2 3 4 Analysis Questions 1. Explain which trait is favorable and explain why. 2. Which phenotype is reduced in the population? 3. What specifically happens to the genotypic frequencies from generation one to generation four? 4. Make a second graph showing p and q versus generation. Did p and q stay constant over time? Explain your results with detail. 5. What occurs when there is a change over time of the gene frequencies? 6. What happens to the recessive gene over the generations? 7. Explain why the recessive gene does not disappear from the population. 8. Explain, over time, what would happen if the selection pressure changed, and the recessive gene was positively selected for. What conditions would favor the recessive gene? 9. What would happen if it were better to be heterozygous? Will there still be homozygous bears? Explain. 10. What requirements need to be met to observe the Hardy-Weinberg equilibrium? 11. Why don’t the Teddy Grahams follow the Hardy-Weinberg equilibrium?