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NAME_______________________________ EXAM#_______ 1 1. (15 points) Next to each unnumbered item in the left column place the number from the right column/bottom that best corresponds: 26 additive genotypic deviation 1) a formula for calculating the change of allele frequency due to natural selection in a population 6 average excess 2) a formula for calculating the change of allele frequency in a population due to genetic drift 3 Bonellia 3) a larva consumed by a female worm is induced to become a parasitic male gonad 21 broad-sense heritability 4) an X-linked dominant genetic disease 5) a protein sequence that is highly functionally constrained and 1 Dp = paA/ W therefore shows very low evolutionary rates 6) a quantitative-genetic parameter that assigns a “phenotype” to a 30 envelope glycoprotein 120 V3 gamete 7) a relatively imprecise quantitative-genetic approach used mainly when 24 environmental variance correlations among relatives are difficult to measure 8) can be defined genetically as heritable variation in fitness 19 FST among human populations 9) efficiently eliminates from a population alleles for autosomal recessive genetic diseases 15 isolation by distance 10) equals 1 /2 h2 between parents and offspring and equals 1 /2 h2 + 1 /4 sd 2 /sp 2 between pairs of siblings in Fisher’s quantitative-genetic 23 linkage disequilibrium model 11) equals the narrow-sense heritability of a trait in a population 25 measured genotype approach 12) equals the sum of the dominance deviations in Fisher’s quantitativegenetic model 8 natural selection 13) expected equilibrium frequency of an allele for a recessive lethal disease in humans 28 “non-Darwinian evolution” 14) expected equilibrium frequency of the sickle-cell allele in malarial areas of central Africa 10 phenotypic correlation 15) gene flow occurs mainly between neighboring populations; a new mutation may spread across a large geographic distance over many 13 0.003 generations by traversing neighboring populations even if no organisms make large migrations 16) geographically distant populations exchange no genes even over long periods of time 17) has a chromosomal mechanism of sex determination 18) a polymorphism maintained by natural selection 19) is approximately 0.15 on a worldwide basis 20) is much greater than expected for populations of large mammals 21) measures the importance of genetic variation as a contributor to phenotypic variation within a generation 22) measures only the dominance and epistatic components of variance 23) occurs when the nucleotide state at one polymorphic nucleotide site is preferentially associated with the nucleotide state at a second polymorphic nucleotide site in a populationOccurs 24) phenotypic variation not explained by genotypic variation in Fisher’s simple additive genetic model 25) quantitative genetic studies using saturated genome-wide linkage mapping, candidate loci, or a combination of these methods NAME_______________________________ EXAM#_______ 2 26) sum of the average excesses of both alleles borne by a diploid organism in a population 27) tends to be larger between parents and offspring than between siblings 28) the hypothesis that most evolutionary changes in DNA and protein sequences occur by random genetic drift of selectively neutral alleles 29) the observation that natural selection sometimes produces adaptively suboptimal results 30) undergoes large amounts of evolution by natural selection in HIV populations present in an infected person 2. (15 points). Two human demes of equal size are surveyed for MN blood types with the following results: M MN N Total Deme 1 158 484 358 1000 Deme 2 12 176 812 1000 a. (2 points) Calculate the frequencies of the M and N alleles in demes 1 and 2. Deme 1: p(M) = 0.4, q(N) = 0.6 Deme 2: p(M) = 0.1, q(N) = 0.9 b. (7 points) Test the hypotheses that each deme has Hardy-Weinberg genotypic frequencies. Be sure to give your chi-square values and degrees of freedom, and state whether the hypotheses of Hardy-Weinberg proportions are statistically rejected. Deme 1 chi-square = (158-160)2 /160 + (484-480)2 /480 + (358-360)2 /360 = 0.025 + 0.033 + 0.011 = 0.069 (H-W not rejected) Deme 2 chi-square = (12-10)2 /10 + (176-180)2 /180 + (812-810)2 /810 = 0.4 + 0.089 + 0.005 = 0.494 (H-W not rejected) c. (4 points) Calculate the FST value for these 2 populations. HS = 0.5(0.48 + 0.18) = 0.33 HT = 2(0.25)(0.75) = 0.375 FST = (0.375 - 0.33)/0.375 = 0.12 d. (2 points) Assuming that the M and N alleles are selectively equivalent (neutral) in these demes, FST measures the balance between what two evolutionary forces? Genetic drift and gene flow NAME_______________________________ EXAM#_______ 3 3. (5 points) Given the following data from a hypothetical artificial selection experiment similar to the one we did with Brassica rapa, calculate the narrow-sense heritability using the response-to-selection method. Assume that from the first generation, the five plants with the most trichomes were chosen and cross pollinated to produce the second generation. trichome number for individual first generation plants: 0, 0, 0, 0, 1, 1, 4, 4, 7, 8, 9, 12, 15, 16, 16, 19, 21, 30, 31, 45 trichome number for individual second generation plants: 0, 2, 5, 5, 7, 8, 9, 9, 11, 12, 17, 18, 18, 24, 26, 27, 30, 30, 32, 37 Generation1 mean = 11.95 Parental generation mean = 29.2 Generation 2 mean = 16. 35 h2 = (MG2 - MG1)/ (MPG - MG1) = (16.35 - 11.95)/ (29.2 - 11.95) = 0.255 4. (5 points) Describe specifically how alleles at the D1S80 locus differ from one another. In lab, how did we determine which D1S80 alleles an individual had? Alleles differ by the number of 16 bp repeat sequences We amplified the D1S80 region and electrophoresed to determine the size of the amplification product 5. (5 points) Using the EVOLVE program, we found that in a population where the allele with the selective advantage started at a very low frequency in the population, selection for a dominant allele resulted in a rise to a frequency of 0.5 for that dominant allele more quickly than selection for a recessive allele resulted in a frequency of 0.5 for that recessive allele. Explain those findings. When selection favors the dominant allele, both homozygous dominant and heterozygous individuals are selectively favored. When the favored allele is recessive, only homozygous recessive individuals are selectively favored. NAME_______________________________ EXAM#_______ 4 6. (14 points) Provide short answers to the following questions. a. (6 points) For the diseases phenylketonuria and scurvy, discuss the importance of genetic and environmental factors in (1) causing the disease phenotype in individual people and (2) causing phenotypic variation at the population level. What general principle regarding causation of variation in populations is illustrated by the contrast between these diseases? Both diseases occur in individuals homozygous for an enzyme deficiency and who have a particular dietary environment (high phenylalanine for PKU, low vitamin C for scurvy). An individual phenotype is an inseparable interaction of genotype and environment. For PKU, the genetic factor is rare in the population whereas the dietary factor is fixed; populational variation in occurrence of the disease is therefore associated with genotypic variation. For scurvy, the dietary factor is rare in the population whereas the genetic factor is fixed; populational variation in occurrence of the disease is therefore associated with dietary environmental variation. b. (8 points) For each of the following statements regarding heritability, indicate whether the statement is true or false. For false statements, explain why the statement is false. i. A trait must be inherited to be heritable, but the reverse is not true. True ii. A high heritability for a trait indicates that the environment has relatively little importance in determining the mean value of that trait in the population. False - Environmental factors may greatly alter mean values in a population without altering heritability. iii. If a trait is highly heritable in two different populations, then the difference between those populations for the trait is largely genetically determined. False - Heritability is defined only within populations and does not measure genetic bases of interpopulational variation. iv. The Tay-Sachs disease is not heritable in the human population because there is no additive genetic variance for this trait. True NAME_______________________________ EXAM#_______ 5 7. (7 points) How are the evolutionary rates of the three proteins shown in this figure interpreted as evidence for the importance of neutral alleles in evolution? Include in your answer reference to the concepts of functional density of a protein, the molecular clock, and unit evolutionary period (UEP). Graph not available Evolutionary rate for neutral alleles is equal to the neutral mutation rate, which is generally constant for a particular protein (= "molecular clock") but differs among proteins. Functional density measures the proportion of amino acids in a protein that are required to perform specific functions and are therefore not free to vary in the form of neutral alleles. Proteins having high functional density should evolve more slowly than proteins having low functional density. Unit evolutionary period measures that amount of time needed for 1% amino-acid sequence divergence to occur between diverging proteins (a calibration of the molecular clock for each protein shown in Myr on the graph). Fibrinopeptides have low functional density and evolve rapidly; cytochrome c has high functional density and evolves slowly, with hemoglobin being intermediate in functional density and evolutionary rate. These are the results predicted for neutral evolution . NAME_______________________________ EXAM#_______ 6 8. (8 points) For each of the following statements regarding haplotype trees, indicate whether the statement is true or false. For false statements, explain why the statement is false. a. Studies using haplotype trees provide evidence that the progression of HIV infection of a patient requires evolution of viral populations by natural selection. True b. Haplotype trees were important for determining that in central African populations occupying malarial environments, the equilibrium frequencies of the Hb A and Hb S alleles are 0.89 and 0.11, respectively. False - These equilibrium frequencies were calculated from average excesses of the Hb A and Hb S alleles, not haplotype trees. c. Haplotype trees provide critical information needed to explain patterns of linkage equilibrium versus linkage disequilibrium observed among SNP markers within a candidate locus, such as ApoE. True d. Haplotype trees provide useful information for reconstructing the history of population structure, such as the relative importance of isolation by distance, recent range expansions, and long-distance migrations in human evolutionary history. True NAME_______________________________ EXAM#_______ 7 9. (26 points) The following data are used for an analysis of variance in LDL cholesterol levels (measured in mg/dl of blood serum) associated with genotypes at the ApoE locus. Allele frequences at the ApoE locus are: allele 2 (0.1), allele 3(0.7) and allele 4(0.2). Genotype: H-W freq. LDL-chol . 2/2 .01 76 2/3 .14 90 2/4 .04 90 3/3 .49 100 3/4 .28 100 4/4 .04 100 (mean = 98) a. (6 points) Calculate the genotypic deviations for each genotype. What are the units of measurement ? Genotype: 2/2 2/3 2/4 3/3 3/4 4/4 -22 -8 -8 2 2 2 in mg/dl b. (2 points) Calculate the genetic variance for LDL cholesterol in this population. Include units of measurement. 0.01(-22)2 + 0.14(-8)2 + 0.04(-8)2 + 0.49(2)2 + 0.28(2)2 + 0.04(2)2 = 19.6 mg2 /dl2 c. (6 points) Calculate the average excesses for alleles 2, 3 and 4. Include units of measurement. Average excess of allele 2 = 0.1(-22) + 0.7(-8) + 0.2(-8) = -9.4 mg/dl Average excess of allele 3 = 0.1(-8) + 0.7(2) + 0.2(2) = 1.0 mg/dl Average excess of allele 4 = 0.1(-8) + 0.7(2) + 0.2(2) = 1.0 mg/dl d. (6 points) Calculate the additive genotypic deviations (= breeding value) for each genotype. What are the units of measurement? 2/2 2/3 2/4 3/3 3/4 4/4 -18.8 -8.4 -8.4 2 2 2 in mg/dl e. (2 points) Calculate the additive genetic variance for the population. Include units of measurement. 0.01(-18.8)2 + 0.14(-8.4)2 + 0.04(-8.4)2 + 0.49(2)2 + 0.28(2)2 + 0.04(2)2 = 19.47 mg2 /dl2 f. (2 points) What information not provided above is necessary for determining the broad-sense and narrow-sense heritabilities for cholesterol level in this population? Total phenotypic variance (or environmental variance) g. (2 points) Suppose that another population (population 2) is examined and found to have the same ApoE genotypes as the population described above (population 1), although the average levels of cholesterol measured for the ApoE genotypes are different: Genotype: 2/2 2/3 2/4 3/3 3/4 4/4 LDL-chol . 76 90 115 100 100 106 (mean = 102) Investigation of genetic variation at the LDLR locus shows that population 2 has a high frequency of LDLR allele 2 whereas this allele is rare in population 1. From this information, how might you explain the differences in LDL cholesterol phenotypes associated with ApoE genotypes between these populations? Epistatic interaction between the LDLR allele 2 and the ApoE locus is responsible for differences in genotypic deviations of genotypes containing alleles 3 and 4.