Name:_____________________________________________

# Hardy Weinberg Simulation

## Case Study - Random Mating

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 Hardy-Weinberg 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 comapre to the initial frequencies in case 1?

In a large population would it be possible to completely eliminate a lethal recessive allele? Explain.