Molecular clock tutorial assignment worksheet Student number ___________________ Part 1 [24] 1. Explain why the number of differences between lineages may not be the same as the sum of the number of substitutions in each lineage at a given time period (look at 5, 10 and 15 Ma)? (3) _______________________________________________________________________________________________ _______________________________________________________________________________________________ 2. a. Complete the Table with the mean and variance of number of substitutions at each of the three time periods (5, 10 and 15 Ma) for the left and the right lineage. [See Appendix A-2 of the textbook for calculating means and variances] (6) Simulations 5 Mil 5 Mil 10 Mil 10 Mil 15 Mil 15 Mil Left Right Left Right Left Right lineage lineage lineage lineage lineage lineage 1 5 5 9 14 21 11 2 5 3 10 11 10 16 3 4 3 9 10 17 13 4 4 4 11 7 10 14 5 8 4 7 14 14 10 6 2 0 8 12 19 10 7 4 4 10 13 17 12 8 6 4 9 9 16 12 9 4 8 9 8 16 18 10 5 9 8 8 14 13 Mean: Variance: b. Are the means and variances the same between the two lineages? Explain. (2) _______________________________________________________________________________________________ _______________________________________________________________________________________________ 3. Draw/insert a graph of the means (numbers of substitutions only) at 5, 10 and 15 Ma for each of the two lineages independently. Remember time is on the X-axis. (4) 4. Based on the data, calculate the mean substitution rate per nucleotide per million years. Remember there are 100 nucleotides in the sample. (3) _______________________________________________________________________________________________ _______________________________________________________________________________________________ 5. Based on your substitution rate estimate, how many substitutions would you predict will accumulate between the ancestral and each descendant lineage in 50 million years? (2) _______________________________________________________________________________________________ 6. Compare the predicted number of substitutions in question 5, to the observed substitutions from the 10 simulations at 50 Ma. Explain your observation. (2) _______________________________________________________________________________________________ _______________________________________________________________________________________________ 7. What happens when we take into account multiple substitutions at a site? Answer this based on the information provided for the 10 simulations at 50 Ma. (2) _______________________________________________________________________________________________ _______________________________________________________________________________________________