11 Jun BIO 321 – Research on the Australian cockroach
Question
13 possible points)
1. (a)[1 pt] You have been conducting your graduate research on the Australian cockroach (Periplaneta
australasiae), and detect a biased sex ratio in one local population: there are 111 males, and 320
females. What is the effective population size of this local population? Page 1 of 8 (b)[1 pt] In an isolated subpopulation of rabbits, you find an equal number of males and females (9
each), but find that their reproductive success varies. You count the number of offspring of all 18
individuals and obtain this data:
Males #Offspring Females #Offspring George 11 McKayla 11 Carlito 13 Susan 12 Timothy 0 Dominique 11 Miguel 5 Alejandra 12 Gregory 4 Rosemary 9 Pablo 13 Agnes 8 Ethan 15 Elizabeth 7 Zack 12 Karen 10 Leonard 7 Bethany 9 What is the effective population size of this subpopulation? (NOTE TO CALCULATE VARIANCE USE THE
VAR FUNCTION IN EXCEL OR USE THE SUM OF THE SQUARED DEVIATIONS DIVIDED BY N-1, WHICH IS
WHAT EXCEL USES IN THE VAR FUNCTION) Page 2 of 8 (c)[1 pt] Finally, you’ve been tracking the population size of one particular population of dragonflies for
10 years. Here are your raw data: N Year1 Year2 Year3 Year4 Year5 Year6 Year7 Year8 Year9 Year10 435 511 22 478 976 880 401 32 56 524 What is the effective population size of this population, given this population history? Page 3 of 8 2. [3 pts] You are given the following information from a single genetic locus (with two alleles) from
several subpopulations of the American red squirrel (Tamiasciurus hudsonicus). Population
Kentucky
New York
Florida
Georgia
California Observed
p
0.20
0.20
0.25
0.28
0.31 Observed
heterozygosity
0.25
0.27
0.31
0.32
0.28 Calculate the F-statistics for these populations (the bars over the capital letters have been omitted
below). First calculate the three H statistics
Hi =
Hs=
Ht=
Then, use the H-statistics to calculate the F-statistics
Fis=
Fst=
Fit=
For each of the three F-statistics, interpret the results. Remember that for F st, Wright gave some
categories of differentiation, so be sure to tell us which of these categories the overall metapopulation
fits into. Page 4 of 8 3. (a) [0.5 pt] Given a metapopulation with a starting F ST of 0, if effective population size of the
subpopulations is 14 for 6 generations, what is the predicted F ST after the 6 generations. (b) [0.5 pt] Given a metapopulation with a starting FST of 0, if effective population size of the
subpopulations is 600 for 6 generations, what is the predicted F ST after the 5 generations. (c) [1 pt] Briefly explain, in a biological sense, not just a mathematical sense, why you got different
answers in (a) and (b) above? Page 5 of 8 4.(a) [1 pt] Fill in the blanks in the following table: genotype # offspring (absolute fitness) AA 2998 Aa 3014 aa 2012 relative fitness (w) selection coefficient (b) [1 pt] Using the data in the table above, calculate the mean fitness of the population. Use the
numbers of offspring as an estimate of the genotype frequencies in the population. genotype genotype frequency
AA
0.25
Aa
0.50
aa
0.25 Page 6 of 8 (c) [1 pt] What is the predicted equilibrium frequency of the A allele? Page 7 of 8 5(a) [1 pt] What is the predicted equilibrium frequency of a completely recessive, deleterious mutant
allele with a mutation rate of 0.00002 and a selection coefficient of 0.06? (b) [1 pt] What is the predicted equilibrium frequency of allele z given that the mutation rate from Z to z
is 0.00002 and the following relative fitnesses:
ZZ: relative fitness=1
Zz: relative fitness=0.9
zz: relative fitness=0.6 Page 8 of 8
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