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G11.4B – Evolution: Hardy Weinberg Theory Factors that influence the frequency

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Vocabulary: Frequency of Alleles

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Слайд 1G11.4B – Evolution: Hardy Weinberg Theory
Factors that influence the frequency

of genes
Learning Objectives
11.2.6.4 Factors affecting the frequency of alleles
Success

Criteria
1. State and explain the five conditions (factors that influence the frequency of genes) that are used when testing Hardy Weinberg Theory.
2. Work problems of allelic frequency using Hardy Weinberg Theory. factor.

CIE Biology Jones

Bozeman Hardy Weinberg
http://www.bozemanscience.com/hardy-weinberg-equation/

G11.4B – Evolution: Hardy Weinberg TheoryFactors that influence the frequency of genesLearning Objectives 11.2.6.4 Factors affecting the

Слайд 2Vocabulary: Frequency of Alleles

Vocabulary: Frequency of Alleles

Слайд 311.2.6.4 Factors that influence the frequency of alleles
Mutation –

gene or environment
Migration – emigration, immigration
Genetic drift Non-random mating
Selection

and natural selection
stabilization, disruptive, directional
11.2.6.4 Factors that influence the frequency of alleles  Mutation – gene or environmentMigration – emigration, immigrationGenetic

Слайд 4Gene Pool
total number of genes in a population at any

one time

Gene Pooltotal number of genes in a population at any one time

Слайд 5Gene Mutation
A change in the DNA. This can cause VARIATIONS

in individuals which can be passed to their offspring. Over

time mutations can change a population

Factors that influence the frequency of alleles

Gene MutationA change in the DNA. This can cause VARIATIONS in individuals which can be passed to

Слайд 6Gene Flow
A light colored allele immigrates into a population of

green colored alleles
the physical flow (movement) of alleles into or

out of a population

immigration-flow of alleles into a population (added)
emigration- flow of alleles out of a population (lost)

Factors that influence the frequency of alleles

Gene FlowA light colored allele immigrates into a population of green colored allelesthe physical flow (movement) of

Слайд 7Genetic Drift
a species gene pool (number of alleles) will drift

toward genes of traits that allow for more successful traits.
Factors

that influence the frequency of alleles
Genetic Drifta species gene pool (number of alleles) will drift toward genes of traits that allow for

Слайд 8Non-Random Mating
Random
Mating
Non- Random
Mating
-Only certain individual organisms can mate
gene

pool is small due to these organisms producing more offspring

with only their genes
evolutionary effects
-less alleles in a population gene pool
-less chance for evolutionary change
-more chance of extinction

Factors that influence the frequency of alleles

Non-Random MatingRandom MatingNon- Random Mating-Only certain individual organisms can mategene pool is small due to these organisms

Слайд 9Directional
Stabilizing
Disruptive
Selection
Selected for?

Phenotype is selected against /selected for –

changing the population of alleles (genotype)
Selected against?
Factors that influence

the frequency of alleles
DirectionalStabilizingDisruptiveSelectionSelected for?  Phenotype is selected against /selected for – changing the population of alleles (genotype)Selected against?

Слайд 10Hardy-Weinberg Principle
Starter: The Hardy-Weinberg principle is based on 5

assumptions, use the image above to guess what these could

be. Stretch: Is it truly representative? Why?


Hardy-Weinberg Principle Starter: The Hardy-Weinberg principle is based on 5 assumptions, use the image above to guess

Слайд 11The principle predicts allele frequencies wont change between generations
However, this

is only true under certain conditions...
The equations are used to

estimate allele and genotype frequencies within populations

If the frequency of alleles or genotypes do change then one of these must have actually occurred

The principle predicts allele frequencies wont change between generationsHowever, this is only true under certain conditions...The equations

Слайд 12Hardy-Weinberg
States that the allele frequency for dominant and recessive alleles

remains the same in a population for many generations
if

the following conditions exist:

1. No mutations can occur. 2. The population must be large. 3. All mating must be random 4. No migration can occur. 5. All genotypes must be equal

Hardy-WeinbergStates that the allele frequency for dominant and recessive alleles remains the same in a population for

Слайд 13Allele Frequency
how often an form of a gene shows up

in a population over several generations

the number of copies of

a particular allele divided by the number of copies of all alleles at the genetic place in a population.
Allele Frequencyhow often an form of a gene shows up in a population over several generationsthe number

Слайд 141. Predicting allele frequency
You can calculate the frequency of

one allele if you know the frequency of the other

allele
Dominant = p and recessive = q
For example, red (R) and white (w) flowers

p + q = 1

If the frequency of R is 0.4, then the frequency of w is?

0.6

1. Predicting allele frequency You can calculate the frequency of one allele if you know the frequency

Слайд 152. Predicting Genotype frequency
You can calculate the frequency of

one genotype if you know the frequency of the others
P2

= homozygous dominant
2pq = heterozygous
q2 = homozygous recessive
For example, red (R) and white (w) flowers

p2 + 2pq +q2 = 1

If the homozygous red phenotype is 0.34, the heterozygous phenotype is 0.27, what is the frequency of the homozygous white flowers?

1 – 0.34 – 0.27 = 0.39

2. Predicting Genotype frequency You can calculate the frequency of one genotype if you know the frequency

Слайд 16Cystic fibrosis (ff genotype) in the UK occurs approximately 1

in every 2500 births. Calculate the percentage of carriers in

the UK.
Find q. The homozygous recessive (ff) is q2 in genotype equation.
1 / 2500 = 0.004 = q2
√  of 0.004 = 0.02 = q
Find p.
p + q = 1, so 1 – 0.02 = 0.98 = p
Calculate 2pq
2pq = 2 x (0.98 x 0.02) = 0.039

Remember, 2pq is the heterozygous phenotype (carrier)
This can be expressed as a percentage by multiplying by 100 = 3.9%
0.039 / 1 X 100 = 3.9 %
We can also calculate p2 (homo dominant).

3. Using both equations

p2 + 2pq +q2 = 1

p + q = 1

0.02

0.98

0.039

0.004

0.957

Cystic fibrosis (ff genotype) in the UK occurs approximately 1 in every 2500 births. Calculate the percentage

Слайд 17Question 1
If 98 out of 200 individuals in a population

express the recessive phenotype, what percent of the population would

you predict would be heterozygotes?
Question 1If 98 out of 200 individuals in a population express the recessive phenotype, what percent of

Слайд 18Answer 1
98/200 = (q2)
0.49 = q2
0.7 = q

p + q

= 1
p = 1 – 0.7
p = 0.3

2pq = 2(0.3)(0.7)

= 0.42 = 42% heterozygotes
Answer 198/200 = (q2)0.49 = q20.7 = qp + q = 1p = 1 – 0.7p =

Слайд 19Question 2
2. Your original population of 200 was hit by

a tidal wave and 100 organisms were wiped out, leaving

36 homozygous recessive out of the 100 survivors. If we assume that all individuals were equally likely to be wiped out, how did the tidal wave affect the predicted frequencies of the alleles in the population?

Question 22. Your original population of 200 was hit by a tidal wave and 100 organisms were

Слайд 20Answer 2
36/100 = q2
0.6 = q

p + q = 1
p

= 0.4

Heterozygous = 2 (0.4)(0.6) = 0.48 = 48%
Homozygous dominant

= (0.4)(0.4) = 0.16 = 16%

Answer 236/100 = q20.6 = qp + q = 1p = 0.4Heterozygous = 2 (0.4)(0.6) = 0.48

Слайд 21Question 3
Lets say that brown fur coloring is dominant to

grey fur coloring in mice. If you have 168 brown

mice in a population of 200 mice........
What is the predicted frequency of
Homozygous dominants
Heterozygotes
Homozygous recessives
Question 3	Lets say that brown fur coloring is dominant to grey fur coloring in mice. If you

Слайд 22Answer 3
200 mice in total
168 = brown = p2 +

2pq
32/200 = grey fur = q2
0.16 = q2
0.4 = q
p

= 0.6 (p + q = 1)


p2 = 0.36 = 36%
2pq = 0.48 = 48%
q2 = 0.16 = 16%
Answer 3200 mice in total168 = brown = p2 + 2pq32/200 = grey fur = q20.16 =

Слайд 23Question 4
If 81% of a population is homozygous recessive for

a given trait. Calculate
Frequency of homozygous dominant
Frequency of heterozygotes
Frequency of

dominant and recssive alleles
Question 4If 81% of a population is homozygous recessive for a given trait. CalculateFrequency of homozygous dominantFrequency

Слайд 24Answer 4
q2 = 0.81
q = 0.9
p = 0.1

p2 = 0.01
2pq

= 0.18

Answer 4q2 = 0.81q = 0.9p = 0.1p2 = 0.012pq = 0.18

Слайд 25Question 5
If 51% of the population carries at least

one copy of the recessive allele
what is the predicted frequency

of the population expressing the dominant phenotype
Question 5 If 51% of the population carries at least one copy of the recessive allelewhat is

Слайд 26Answer 5
51% = 2pq + q2
49% = 0.49 =

p2
0.7 = p
0.3 = q

p2 + 2pq =
0.49 + 0.42

= 0.91 have dominant phenotype

Answer 5 51% = 2pq + q249% = 0.49 = p20.7 = p0.3 = qp2 + 2pq

Слайд 27Question 6
Albinism is a rare genetically inherited trait that

is only expressed in the phenotype of homozygous recessive individuals

(aa).  The most characteristic symptom is a marked deficiency in the skin and hair pigment melanin.  This condition can occur among any human group as well as among other animal species.  The average human frequency of albinism in North America is only about 1 in 20,000.
calculate the frequency of the dominant allele in North America
the frequency of people expressing the normal phenotype in
Question 6 Albinism is a rare genetically inherited trait that is only expressed in the phenotype of

Слайд 28Answer 7
q2 = 1/20,000
q = 0.0071
p = 0.9929

dominant phenotype

=
p2 + 2pq = 0.9859 + 0.1409

Answer 7 q2 = 1/20,000q = 0.0071p = 0.9929dominant phenotype = p2 + 2pq = 0.9859 +

Слайд 29Question 8
1 in 1700 US Caucasian new borns have

cystic fibrosis.
calculate the frequency of the recessive cystic fibrosis

allele and the dominant allele in the population
calculate the frequency of non cystic fibrosis sufferers in the population

Question 8 1 in 1700 US Caucasian new borns have cystic fibrosis. calculate the frequency of the

Слайд 30Answer 8
q2 = 1/1700
q = 0.0243
p = 0.09757

p2 + 2pq
(0.09757)(0.09757)

+ 2(0.09757)(0.0243)
0.9567

Answer 8q2 = 1/1700q = 0.0243p = 0.09757p2 + 2pq(0.09757)(0.09757) + 2(0.09757)(0.0243)0.9567

Слайд 31Question 9
If 9% of an African population is born

with a severe form of sickle-cell anemia (ss), what percentage

of the population will be more resistant to malaria because they are heterozygous(Ss) for the sickle-cell gene?

Question 9 If 9% of an African population is born with a severe form of sickle-cell anemia

Слайд 32Answer 9
q2 = 9%
q2 = 0.09
q = 0.3
p =

0.7

2pq = 2(0.3)(0.7) = 0.42 = 42%

Answer 9 q2 = 9%q2 = 0.09q = 0.3p = 0.72pq = 2(0.3)(0.7) = 0.42 = 42%

Слайд 33Question 10
The allele y occurs with a frequency of 0.8

in a population of clams. Give the frequency of
genotypes YY,

Yy, and yy. Show your work!
Question 10The allele y occurs with a frequency of 0.8 in a population of clams. Give the

Слайд 34Answer 10
The allele y (recessive) has a frequency q

= 0.8.
p + q = 1, then p = 1

– 0.8 = 0.2

genotype:
YY genotype frequency = p2 = 0.04
Yy genotype frequency = 2pq = 0.32
yy genotype frequency = q2 = 0.64.
Answer 10 The allele y (recessive) has a frequency q = 0.8.p + q = 1, then

Слайд 37Post-Zygotic Isolation (Barriers)

Post-Zygotic Isolation (Barriers)

Слайд 4111.2.6.4 Factors that influence the frequency of alleles
Mutation –

gene or environment
Migration – emigration, immigration
Genetic drift Non-random mating
Selection

and natural selection
stabilization, disruptive, directional
11.2.6.4 Factors that influence the frequency of alleles  Mutation – gene or environmentMigration – emigration, immigrationGenetic

Слайд 42Gene Pool
total number of genes in a population at any

one time

Gene Pooltotal number of genes in a population at any one time

Слайд 43Gene Mutation
A change in the DNA. This can cause VARIATIONS

in individuals which can be passed to their offspring. Over

time mutations can change a population

Factors that influence the frequency of alleles

Gene MutationA change in the DNA. This can cause VARIATIONS in individuals which can be passed to

Слайд 44Gene Flow
A light colored allele immigrates into a population of

green colored alleles
the physical flow (movement) of alleles into or

out of a population

immigration-flow of alleles into a population (added)
emigration- flow of alleles out of a population (lost)

Factors that influence the frequency of alleles

Gene FlowA light colored allele immigrates into a population of green colored allelesthe physical flow (movement) of

Слайд 45Genetic Drift
a species gene pool (number of alleles) will drift

toward genes of traits that allow for more successful traits.
Factors

that influence the frequency of alleles
Genetic Drifta species gene pool (number of alleles) will drift toward genes of traits that allow for

Слайд 46Non-Random Mating
Random
Mating
Non- Random
Mating
-Only certain individual organisms can mate
gene

pool is small due to these organisms producing more offspring

with only their genes
evolutionary effects
-less alleles in a population gene pool
-less chance for evolutionary change
-more chance of extinction

Factors that influence the frequency of alleles

Non-Random MatingRandom MatingNon- Random Mating-Only certain individual organisms can mategene pool is small due to these organisms

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