UCSB EEMB 2 - Computational Set #4 (11 pages)

Review Alleles specific form of gene ex A or a p or q Genotype collection of genes ex AA pp pq Phenotype expression of genotype ex flower color Problem 1 Genotype Frequencies The proportion of each genotype in a population Given alleles A and a with N as the pop size then Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Why are we doing this Genotype frequencies allow us to detect evolutionary change Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 1 Problem 1 Genotype Frequencies Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Problem 1 Genotype Frequencies Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 What is the frequency of the AA genotype a 0 25 b 0 3 c 0 35 d 0 4 What is the frequency of the AA genotype a 0 25 b 0 3 c 0 35 d 0 4 Problem 1 Genotype Frequencies Problem 1 Genotype Frequencies Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 What is the frequency of the AA genotype a 0 25 b 0 3 c 0 35 d 0 4 NAA N 80 200 0 4 What is the frequency of the Aa genotype a 0 25 b 0 3 c 0 35 d 0 4 2 Problem 1 Genotype Frequencies Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Problem 1 Genotype Frequencies Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 What is the frequency of the Aa genotype a 0 25 b 0 3 c 0 35 d 0 4 What is the frequency of the Aa genotype a 0 25 NAa N 50 200 0 25 b 0 3 c 0 35 d 0 4 Problem 1 Genotype Frequencies Problem 1 Genotype Frequencies Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 What is the frequency of the aa genotype a 0 25 b 0 3 c 0 35 d 0 4 What is the frequency of the aa genotype a 0 25 b 0 3 c 0 35 d 0 4 3 Problem 1 Genotype Frequencies Frequency of genotype AA NAA N Frequency of genotype Aa NAa N Frequency of genotype aa Naa N Calculate the gentotype frequencies for a population of 200 with NAA 80 NAa 50 and Naa 70 Problem 2 Allele Frequencies The proportion of each allele in a population Given alleles A and a with N as the pop size then Frequency of allele A p 2NAA NAa 2N Frequency of allele a q 2Naa NAa 2N What is the frequency of the aa genotype a 0 25 b 0 3 c 0 35 Naa N 70 200 0 35 d 0 4 Calculate the alelle frequencies for a population of 200 with NAA 45 NAa 130 and Naa 25 Problem 2 Allele Frequencies Problem 2 Allele Frequencies Frequency of allele A p 2NAA NAa 2N Frequency of allele a q 2Naa NAa 2N Calculate the alelle frequencies for a population of 200 with NAA 45 NAa 130 and Naa 25 What is the frequency of the A allele a 0 55 b 1 05 c 0 825 d 0 45 Frequency of allele A p 2NAA NAa 2N Frequency of allele a q 2Naa NAa 2N Calculate the alelle frequencies for a population of 200 with NAA 45 NAa 130 and Naa 25 What is the frequency of the A allele a 0 55 b 1 05 c 0 825 d 0 45 4 Problem 2 Allele Frequencies Frequency of allele A p 2NAA NAa 2N Frequency of allele a q 2Naa NAa 2N Calculate the alelle frequencies for a population of 200 with NAA 45 NAa 130 and Naa 25 What is the frequency of the A allele a 0 55 p 2 45 130 2 200 b 1 05 c 0 825 d 0 45 Problem 2 Allele Frequencies Frequency of allele A p 2NAA NAa 2N Frequency of allele a q 2Naa NAa 2N Calculate the alelle frequencies for a population of 200 with NAA 45 NAa 130 and Naa 25 What is the frequency of the a allele a 0 775 b 0 55 c 0 3875 d 0 45 Problem 2 Allele Frequencies Frequency of allele A p 2NAA NAa 2N Frequency of allele a q 2Naa NAa 2N Calculate the alelle frequencies for a population of 200 with NAA 45 NAa 130 and Naa 25 What is the frequency of the a allele a 0 775 b 0 55 c 0 3875 d 0 45 Problem 2 Allele Frequencies Frequency of allele A p 2NAA NAa 2N Frequency of allele a q 2Naa NAa 2N Calculate the alelle frequencies for a population of 200 with NAA 45 NAa 130 and Naa 25 What is the frequency of the a allele a 0 775 b 0 55 c 0 3875 d 0 45 q 2 25 130 2 200 5 Hardy Weinberg Equilibrium Allele frequencies do not change across generations So why are we doing this again TO DETERMINE IF EVOLUTION IS ACTIVELY OCCURRING IN A POPULATION Genotype frequencies can be predicted from allele frequencies Conditions No mutations no new forms of alleles added No selection among genotypes No gene flow Population size is infinite no genetic drift Random mating sexual reproduction only Problem 3 Hardy Weinberg Genotype frequencies in HW eq are predicted by the equation But wait when do those conditions actually happen Hardy Weinberg equilbrium is the NULL MODEL Deviations from HW Evolution p2 2pq q2 1 Probabilities sum to 1 Probability of offspring getting 2 A alleles Probability of offspring getting 1 A and 1 a Probability of offspring getting 2 a alleles Calculate the expected genotype frequencies in the first …