Download Lab.Hardy-Weinberg Simulation

AP BIOLOGY 2016-17
ACTIVITY
Hardy Weinberg Simulation
Case Study - Random Mating
In this simulation, you will simulate 5 generations of offspring beginning with a parental population that are all
heterozygous. To represent alleles, you will use colored beads. Red represents the dominant allele T and green
represents the recessive allele t. Place a bead in each hand and have your lab partner choose at random
(without seeing the beads in your hand). You then do the same for your partner. The beads chosen represent
the genotype of the next generation. You will need to do this twice so that you always have 2 children created
from a "mating". For the next generation, you will need to replace your beads with your offspring - in effect
you play your offspring as the parents of the next generation.
Now that you are playing the offspring from your first mating. Find someone in the class at RANDOM to mate
with again. To produce the second generation. Again you do this twice, so that you and your mate can both
play the offspring for the next generation.
Initial Parental Population
p2 + 2pq + q2 = 1.0
25 + .50 + .25 = 1.0
Now playing the offspring of the second generation, repeat the mating process again at random
with anyone in the class. You will perform a total of 6 matings. At this point the class will need to
report what their final genotypes are. When everyone is done, the teacher will tally the results on
the board.
Frequencies: TT ________ Tt _________ tt _________
Determine the number of T alleles present in the last generation:
Number of offspring with genotype TT _______________ x 2 = ______________ of A alleles
Number of offspring with the genotype Tt _____________x 1 = ______________ of A alleles
Total = _____________of T alleles
Determine the number of t alleles present in the last generation:
Number of offspring with genotype tt _______________ x 2 = ______________ of a alleles
Number of offspring with the genotype Tt _____________x 1 = ______________ of a alleles
Total = _____________of t alleles
Determine p and q
p = total number of T alleles divided by total number of alleles in population:
(Total number of alleles in population is the number of people in the class x 2) p =
_______________
q = total number of t alleles divided by total number of alleles in population:
(Total number of alleles in population is the number of people in the class x 2) q =
_______________
How does the final generation compare to the initial population in reference to the HardyWeinberg equation?
Case 2 - Selection
Initial Parental Population
p2 + 2pq + q2 = 1.0
25 + .50 + .25 = 1.0
In this case, you will modify the simulation to make it more realistic. In the natural environment,
not all genotypes have the same rate of survival. In this simulation, you will assume that offspring
who are homozygous recessive (tt) never survive. You will run this simulation similar to the last
one, except that if your offspring is aa, it does not reproduce and contribute to the next
generation. In order to keep the population size constant, parents must mate until they get two
surviving offsring, either TT or Tt
Frequencies: TT ________ Tt _________ tt _________
Determine the number of T alleles present in the last generation:
Number of offspring with genotype TT _______________ x 2 = ______________ of A alleles
Number of offspring with the genotype Tt _____________x 1 = ______________ of A alleles
Total = _____________of T alleles
Determine the number of t alleles present in the last generation:
Number of offspring with genotype tt_______________ x 2 = ______________ of a alleles
Number of offspring with the genotype Tt _____________x 1 = ______________ of a alleles
Total = _____________of t alleles
Determine p and q
p = total number of T alleles divided by total number of alleles in population:
(Total number of alleles in population is the number of people in the class x 2) p =
_______________
q = total number of t alleles divided by total number of alleles in population:
(Total number of alleles in population is the number of people in the class x 2) q =
_______________
How do the new frequencies of p and q compare to the initial frequencies in case 1?
In a large population would it be possible to completely eliminate a lethal recessive allele?
Explain.
AP BIOLOGY 2016-17
ACTIVITY
Hardy Weinberg Problem Set
p2 + 2pq + q2 = 1 and p + q = 1
p = frequency of the dominant allele in the population
q = frequency of the recessive allele in the population
p2 = percentage of homozygous dominant individuals
q2 = percentage of homozygous recessive individuals
2pq = percentage of heterozygous individuals
1. View the Dragons below. The winged trait is dominant.
2. You have sampled a population in which you know that the percentage of the homozygous recessive
genotype (aa) is 36%. Using that 36%, calculate the following:
A. The frequency of the "aa" genotype.
B. The frequency of the "a" allele.
C. The frequency of the "A" allele.
D. The frequencies of the genotypes "AA" and "Aa."
E. The frequencies of the two possible phenotypes if "A" is completely dominant over "a."
3. There are 100 students in a class. Ninety-six did well in the course whereas four blew it totally and received
a grade of F. Sorry. In the highly unlikely event that these traits are genetic rather than environmental, if these
traits involve dominant and recessive alleles, and if the four (4%) represent the frequency of the homozygous
recessive condition, please calculate the following:
A. The frequency of the recessive allele.
B. The frequency of the dominant allele.
C. The frequency of heterozygous individuals.
4. Within a population of butterflies, the color brown (B) is dominant over the color white (b). And, 40% of all
butterflies are white. Given this simple information, which is something that is very likely to be on an exam,
calculate the following:
A. The percentage of butterflies in the population that are heterozygous.
B. The frequency of homozygous dominant individuals.
5. After graduation, you and 19 of your closest friends (lets say 10 males and 10 females) charter a plane to go
on a round-the-world tour. Unfortunately, you all crash land (safely) on a deserted island. No one finds you
and you start a new population totally isolated from the rest of the world. Two of your friends carry (i.e. are
heterozygous for) the recessive cystic fibrosis allele (c).
Assuming that the frequency of this allele does not change as the population grows, what will be the incidence
of cystic fibrosis on your island? ______
6. Cystic fibrosis is a recessive condition that affects about 1 in 2,500 babies in the Caucasian population of the
United States. Please calculate the following.
The frequency of the recessive allele in the population. ______
The frequency of the dominant allele in the population. ______
The percentage of heterozygous individuals (carriers) in the population. ____
7. This is a classic data set on wing coloration in the scarlet tiger moth (Panaxia dominula).
Coloration in this species had been previously shown to behave as a single-locus, two-allele system with
incomplete dominance. Data for 1612 individuals are given below:
White-spotted (AA) =1469 Intermediate (Aa) = 138 Little spotting (aa) =5
Calculate the allele frequencies (p and q )
8. The allele for a widow's peak (hairline) is dominant over the allele for a straight hairline. In a population of
500 individuals, 25% show the recessive phenotype. How many individuals would you expect to be
homozygous dominant and heterozygous for the trait?
9. The allele for a hitchhiker's thumb is recessive compared to straight thumbs, which are dominant? In a
population of 1000 individuals, 510 show the dominant phenotype. How many individuals would you expect
for each of the three possible genotypes for this trait.
10. REAL WORLD APPLICATION PROBLEM
Choose a human trait to study and survey a population at your school. (Aim for at least a sample size of 50 to
get meaningful results). Use your sample to determine the allele frequencies in the human population.
Traits (dominant listed first)
Hitchhiker's Thumb vs. Straight Thumbs
Widow's peak vs straight hairline
PTC taster vs non-taster
Short Big toe vs long big toe
Free earlobes vs attached earlobes
Tongue rolling vs non-rolling
Bent little fingers vs straight little fingers
Arm crossing (left over right) vs right over left
Ear points vs no ear points