SG 6 - Biology
Transmission Genetics and
the Sources of Genetic
Variation
B6
1
Mendel’s Laws.
Contemporary with Darwin
(but Darwin did not know
of him).
Phenotype:
Genotype:
2
Mendel’s Laws.
2. The Law of Dominance.
3
3. The Law of Segregation.
4. The Law of Independent
Assortment.
4. The Law of Independent
Assortment...
9 yellow round : 3 yellow wrinkled : 3 green round : 1 green wrinkled
4. The Law of Independent Assortment.
5. Besides dominant and recessive alleles,
alleles can be and…
5. … to each other.
Gene at ‘organismal level’:
Transmission Genetics.
10
Transmission Genetics.
11
The ‘Central Dogma’ of Molecular Biology.
12
a. DNA makes RNA: transcription
b. RNA makes protein: translation
-- mRNA codons
specify the amino
acid sequence in
a growing protein...
b. RNA makes protein: translation
-- tRNA carries amino
acids into a ribosome,
binding their anticodon
to the mRNA codon.
-- Ribosomes contain
rRNA. One of these
is the ‘enzyme’ that
catalyzes bonds
between amino acids.
2. The Genetic Code is the code of mRNA codons for
amino acid sequences.
Proteins: are generally the
builders of traits.
Gene at ‘molecular level’:
3. Several attributes of the code indicate that it
evolved by natural selection long ago.
19
Variation and Mutation.
One of the challenges for Darwin was to
solve this problem:
20
Variation and Mutation.
1... Natural selection selectively breeds for
the ‘fit’ varieties in populations. But this should
REDUCE the amount of variation!
21
2. Today, we know there are several means by which
variation is regenerated, forming new genotypes:
22
2.
a. Mutation.
Errors in DNA replication
Alternative bases
Recombination, transposons…
--------------------------------------
Radiation
Chemicals
23
24
25
1 mm
DNA
Eukaryote
Virus
26
b. Sexual reproduction (& ‘lateral gene transfer’)
c. Recombination during meiosis.
28
d. (once again):
independent assortment.
# of possible allele
combinations:
= 2n
29
e. Chromosome rearrangements.
30
f. Polyploidy.
(usually 4n, 8n, etc.)
g. There are others:
immigration, etc…
31
3. We have measured genetic diversity in populations,
and found Darwin need not have worried:
a. Most populations are pretty
fit they way they are & are
not under great selection
pressure. So…
32
3. We have measured genetic diversity in populations,
and found Darwin need not have worried:
c. every gene is mutated
or soon will be.
b. most populations have
accumulated an enormous store of untapped genetic diversity.
33
Effects of Mutations on Fitness.
A common statement: ‘Mutations are random’.
What should we mean by that?
2. It does not mean that DNA is mutated randomly (!) (since some DNA regions have a higher mutation rate than others).
34
Effects of Mutations on Fitness.
3. What we really mean is that mutations are
random with respect to the needs of the organism.
– they do not occur to increase fitness, nor do they
occur (on purpose) to decrease it.
A common statement: ‘Mutations are random’.
What should we mean by that?
35
4. Before we knew this, we wondered:
a. Does selection cause mutations to happen?
b. Does selection somehow ‘direct’ the kind of
mutations that happen?
5. In the case of bacteria, it once seemed that one
or both could be true! They evolved resistance
very quickly.
Recommended viewing: Time lapse showing evolution
of bacteria antibiotic resistance.
37
6. The Luria-Delbruck experiment (1943):
Salvador Luria & Max Delbruck
Some bacteria
grow! these are resistant.
38
7. If mutations for resistance were ‘induced’ by viruses:
Resistance forms at
~ same time after
viruses. # of
resistant colonies
will be ~ constant
from plate to plate.
8. If mutations are ‘random’, & present before virus
exposure:
Resistance appears
before viruses at
different times. # of resistant colonies
varies from plate to plate.
B7-1
41
By ~ 1900, Mendel was ‘discovered’,
and a new science of genetics began in
earnest.
2. But the initial integration between evolution &
genetics science was not smooth at first.
a. Geneticists saw that traits were generally
‘discontinuous’. Maybe evolution would be ‘jerky’?
43
b. Evolutionary biologists expected variations
to be ‘small’ a ‘continuum’ of traits.
There were examples …
3. Eventually (this took years, well into the 1900’s)
the consensus was that both camps were right!
Some traits are controlled ‘additively’ by
multiple genes or multiple alleles.
45
b. Other traits are controlled by genes with
few alleles discrete phenotypes w/o
intermediates. (= “polymorphisms”).
46
Individual versus Population-Level Thinking.
Another area of confusion was that some thought
natural populations ought to show Mendelian
ratios.
47
Individual versus Population-Level Thinking.
48
2. The truth is that populations will keep whatever
allele ‘frequency’ they start with unless something
changes it.
49
50
The Hardy-Weinberg Model: A ‘Null’ Model for
Population Genetics.
Hardy-Weinberg Equilibrium
G.H. Hardy and W. Weinberg independently realized
that allele frequencies do not change unless something changes it. This condition is …
51
2. The central points of H.W.E. are:
The frequencies of alleles (A1 and A2) will not
change over time unless evolutionary processes
act upon them.
A definition of evolution: A change in the frequency
of genes (alleles) in a population.
52
2. The central points of H.W.E. are:
b. Given allele frequencies, we can predict
genotype frequencies (A1A1, A1A2, A2A2)
c. If values are not at predicted frequencies,
they will ‘move’ to predicted frequencies in 1
generation of random mating.
53
3. The H.W. model provides conditions for when a
population is not evolving – gene / allele frequencies
are not changing.
54
4. Conditions for H.W.E. :
a. No selection. No alleles provide greater or
lesser ‘fitness’.
b. Random mating. No individuals ‘prefer’ certain
other individuals.
c. No mutation. No new alleles.
d. No migration. No one enters / no one leaves.
e. No genetic drift. No random fluctuations. The
pop is considered infinite in size.
55
5. A population is a group of sexually interbreeding
individuals. These share…
-- a Gene pool…
-- Allele frequencies
Let’s make sure you are aware of some basics:
-- Genotype frequencies
56
In mice, the allele for Agouti (A) is dominant to the allele for black (a).
So Agouti mice are AA or Aa. Black mice are aa.
The Worksheet:
57
1. Lets suppose that in one population of mice,
80\% of the genes at this locus are A, and 20\%
are a.
Express their allele frequencies as decimals.
The Worksheet:
58
2. Assume that these mice mate randomly. What are the expected frequencies of the genotypes AA, Aa, and aa?
…
Frequency of allele A: p = 0.8
Frequency of allele a: q = 0.2…
59
A
A
a
a
Freq. of A = p..
Freq of a = q..
60
p =
q =
p =
q =
2.
p2 = Frequency of AA
2pq = Frequency of Aa
q2 = Frequency of aa
61
p = frequency of allele 1 q = frequency of allele 2
p + q = 1
Basic Hardy-Weinberg Terminology & Equations.
In a population with alleles A and a, & genotypes AA, Aa, and aa…
62
Basic Hardy-Weinberg Terminology & Equations.
In a population with alleles A and a, & genotypes AA, Aa, and aa…
p2 + 2pq + q2 = 1
It is also at times handy to remember that... q = q2 …
p = p2 + ½ (2pq)
q = q2 + ½ (2pq)
WARNING: This only applies if we assume
H.W.E. (you will see why later).
Basic Hardy-Weinberg Terminology & Equations.
All above statements are always true, even for pops.
not in H.W.E.
64
Lets try another one:
Suppose a population of Agouti & black mice were
stranded on an island, with no predators and lots
of food…
65
The initial population is 400 mice, with 196 AA,
168 Aa, and 36 aa…
3. What are the frequencies of AA, Aa, and aa?
Lets try another one:
…
66
4. What are the frequencies of A, and a?
You can calculate this from the # of gene copies…
The initial population is 400 mice, with 196 AA,
168 Aa, and 36 aa.
67
You can also calculate this from the genotype
frequencies…
4. What are the frequencies of A, and a?
The initial population is 400 mice, with 196 AA,
168 Aa, and 36 aa.
5. Some common mistakes:
a. Not understanding that a heterozygote
frequency IS ‘2pq’
b. Not understanding that homozygote
frequencies ARE ‘p2’ and ‘q2’
69
Now, p + q will always = 1, and p2 + 2pq + q2
will always = 1, but…
5. Some common mistakes:
c. Using the q = q2 (or p = p2 ) when it is not
right to assume H.W.E. [Use instead: q = q2 + ½ (2pq), & so on.]
70
…when these values are linked together, then the population is in H.W.E.!
…
71
…when these values are linked together, then the population is in H.W.E.!
72
…when these values are linked together, then the population is in H.W.E.!
q2=.09
p2=.49
2pq=.42
73
6. Is our last population in H.W.E.?
(196 AA, 168 Aa, and 36 aa.)
Observed: Expected:
p2 = p = p2 =
2pq = q = 2pq =
q2 = q2 =
7. One in 1700 Caucasians in the US will come down
with cystic fibrosis, an autosomal recessive
mutation effecting chloride ion transport.
a. Individuals with cf are genotype cc. Unaffected
people are either CC or Cc.
7. One in 1700 Caucasians in the US will come down
with cystic fibrosis, an autosomal recessive
mutation effecting chloride ion transport.
b. What is the frequency of people who are Cc
‘carriers’? Assume H.W.E.
c. In a population of 10,000,000, how many will
be carriers?
7. One in 1700 Caucasians in the US will come down
with cystic fibrosis, an autosomal recessive
mutation effecting chloride ion transport.
ADDITIONAL HWE problems are in the Moodle web site.
Be able to do them, and you should be ok.
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