Title: Chapter 23: The Evolution of Populations
1Chapter 23The Evolution ofPopulations
2Important Point
If you are having trouble understanding lecture
material Try reading your text before
attending lectures. And take the time to read it
well!
3Gene Pools
A gene pool is the sum of alleles at all loci
within a population
One species, but members are more likely to mate
within their herd than the other
4Polymorphism
A polymorphism is more than one allele present at
a given locus within a single population of
organisms
Population genetics is essentially the study of
allele and genotype frequencies within
populations of organisms
5Mendel meets H.W.
Recall Mendelian genetics
Hardy-Weinberg Equilibrium means genotype
frequencies stay the same
6Hardy-Weinberg Theorem
x2
diploid
320
20
7Hardy-Weinberg Theorem
8Hardy-Weinberg Theorem
9Hardy-Weinberg Theorem
Note same
The triumph of Darwinism occurred with the
Modern synthesis, the integration of the
mechanics of Darwinian evolution with those of
Mendelian genetics (1930s)
10H.W. Equilibrium
Hardy-Weinberg means that both genotype and
allele frequencies stay the same over time
11H.-W. Frequencies (2 alleles)
Calculated H.W. frequencies,1 locus, 2 alleles
Fixed allele
- Note how genotype frequencies are 100 a function
of previous-generation allele frequencies. - This is precisely what the H.W. equation tells
us. - It is the default evolutionary assumption
- (i.e., no evolution is occurring)
12H.-W. Assumptions
- To assume Hardy-Weinberg equilibrium all of the
following must be true - The population must be very large (no sampling
error/genetic drift) - There must be no net mutation
- There must be no natural selection (though as we
will see that this assumption can be temporarily
suspended in the course of using the
Hardy-Weinberg theorem) - No migration between populations
- Random mating (equivalent to mixing all sperm and
eggs in population into a common bucket to foster
fertilization) - In other words, no mechanisms that can affect
genetic structurei.e., allele or genotype
frequenciesmay be operating
13Eggs Milt (Sperm) in Bucket
http//wdfw.wa.gov/wildwatch/salmoncam/hatchery.ht
ml
14Non-Random Mating
Anything that interferes with the random mating
between individuals is nonrandom mating
Nonrandom mating results in deviations from a
Hardy-Weinberg generation of genotypes from a
given frequency of alleles
15H.-W. Equilibrium
- If no mechanisms that can affect genetic
structure are operating, then - Hardy-Weinberg genotype frequencies will be
established in a single generation - And these frequencies will persist indefinitely
- (I.e., so long as there are no mechanisms
operating that can affect genetic structure) - Remember that an organism can be homozygous for a
given allele even if within the population is
polymorphic (meaning that more than one allele
exists) - Indeed, three alleles can exist within a
population, even if only at best two can exist
within a single individual
16Chalk discussion of H.W. theorem, including,
especially, p2 2pq q2 1
17Solving H.-W. Problems
- Work with Decimals, not percentages, not
fractions, not absolute numbers - Convert Phenotypes to Genotypes, whenever you are
given phenotype information you should be
pondering (i) how can I convert phenotypes to
genotypes? and (ii) how can I convert known
phenotype frequencies to genotype frequencies? - Convert Genotypes to Alleles, once you know
genotype frequencies it should be trivial to
convert to allele frequencies dont let this
step trip you up - Convert Alleles to Genotypes, if you know allele
frequencies, but not genotype frequencies, then
chances are you will need to figure out the
latter - Incorporating Selection, usually selection only
operates at the diploid stage ? make sure
frequencies always add up to one - Practice, Practice, Practice, Practice, Practice!
18Working with Decimals
- Convert percentages to decimals (I.e., by
dividing by 100) 25 ? 0.25 - Convert fractions to decimals (I.e., by dividing
by the denominator) ¼ ? 0.25 - Convert absolute numbers to decimals (I.e., by
dividing number by total) 60/240 ? 0.25 - Many a Hardy-Weinberg solution has been tripped
up by not employing decimals, i.e., by not
employing frequencies - E.g., 25 x 25 625! (which is incorrect)
- E.g., 0.25 x 0.25 0.0625! (which is correct)
- Yes, 25/100 x 25/100 625/100/100 0.0625
- But isnt that absurdly complicating???
19Phenotype ? Genotype
- Phenotype to Genotype conversions are going to
depend on the genetics of your locus - Always in these problems genotypes will be
diploid - If alleles have a dominance-recessive
relationship, then the heterozygote will have the
same phenotype as the dominant homozygote - Therefore, if the relationship is
dominant-recessive you will know with certainty
only the genotypes of recessive homozygotes - If the relationship is codominant or incomplete
dominant, however, then there will be a
one-to-one mapping of genotype to phenotype - That is, for the latter ( only for the latter)
genotype frequencies will be the same as
phenotype frequencies
20Dominant Genotypes
- If a population is in Hardy-Weinberg equilibrium
then the frequency of all genotypes, even
dominant genotypes, may be estimated - Start with the frequency of the recessive
homozygote ? this equals q2 - q therefore is equal to the square root of the
frequency of the recessive homozygote - p, the frequency of the dominant allele,
therefore (if 2 alleles) can be assumed to be
equal to 1 q - The dominant homozygote therefore can be assumed
to have a frequency of (1 q)2 - The heterozygote therefore can be assumed to have
a frequency simply of 2pq - Always assume Hardy-Weinberg equilibrium unless
you have a compelling reason not to
21Genotype ? Allele
- Once you know genotype frequencies, going from
genotype frequencies to allele frequencies is
easy - Dont let it trip you up!
- There are two formulas one can use and which one
you use depends on whether you are working with
absolute numbers versus genotype frequencies - f(A) 2f(AA) 1f(Aa) 0f(aa) / 2
- note that 2 2f(AA) 2f(Aa) 2f(aa) since
all frequencies should add up to 1 - Note that this is just a ratio of number of
alleles of a one type to total number of alleles
present in a population - Alternatively, with X AA, Y Aa, Z aa
- f(A) (2X 1Y 0Z) / 2(X Y Z)
- Note also that f(A) 1 f(a) (for 2 allele
system) - for ABO (3-allele) system, f(IA) 1 - f(IB) -
f(i)
22Allele ? Genotype
- Genotype frequencies can be estimated from allele
frequencies - First, you must assume Hardy-Weinberg equilibrium
- Then simply calculate genotype frequencies from
allelic frequencies using the Hardy-Weinberg
theorem - (recall that p and q are allele frequencies)
- If you had 70 A alleles and 120 a alleles, then
what are the expected frequencies of AA, Aa, and
aa? - f(A) 70 / (70 120) 0.37 ? f(a) 0.63
- f(AA) 0.372 0.14 f(aa) 0.632 0.40 f(Aa)
2 0.37 0.63 0.47 - Check your answer ? 0.14 0.40 0.47 1.01,
which is pretty close to 1.0 (rounding error?)
23Non-Darwinian Evolution
- Generally natural selection is the evolutionary
force most closely associated with Darwinism
(i.e., Darwinian evolution) - Keep in mind, though, that selection cannot
operate without genetic variation - Genetic variation, in turn, ultimately is a
consequence of mutation - Non-Darwinian mechanisms generally are not
adaptive and include - Genetic drift
- Mutation
- Migration
- Non-Random mating
24Non-Darwinian Evolution
- Generally natural selection is the evolutionary
force most closely associated with Darwinism
(i.e., Darwinian evolution) - Keep in mind, though, that selection cannot
operate without genetic - Genetic variation, in turn, ultimately is a
consequence of mutation - Non-Darwinian mechanisms generally are not
adaptive and include - Genetic drift
- Mutation
- Migration
- Non-Random mating
25Non-Random Mating
- Random mating violates statistical independence,
which would complicate our math - Recall the Rule of Multiplication from Chapter
14 - How do we determine the chance that two or more
independent events will occur together in some
specific combination? The solution is in
computing the probability for each independent
event, then multiplying these individual
probabilities to obtain the overall probability
of the two events occurring together. (p. 254 C
R, 2002) - It is because matings are random that the odds,
e.g., of one A allele (from mom) being paired
with another A allele (from dad) is p p or p2 - If matings were not random then the probability
of the above pairing could be gtp2 or ltp2,
depending on whether opposites repel or
opposites attract (respectively)
26Non-Darwinian Evolution
- Generally natural selection is the evolutionary
force most closely associated with Darwinism
(i.e., Darwinian evolution) - Keep in mind, though, that selection cannot
operate without genetic - Genetic variation, in turn, ultimately is a
consequence of mutation - Non-Darwinian mechanisms generally are not
adaptive and include - Genetic drift
- Mutation
- Migration
- Non-Random mating
27Sampling Error Genetic Drift
Errors get bigger (as fraction of sample) as
samples get smaller!
28Non-Darwinian Evolution
- Generally natural selection is the evolutionary
force most closely associated with Darwinism
(i.e., Darwinian evolution) - Keep in mind, though, that selection cannot
operate without genetic variation - Genetic variation, in turn, ultimately is a
consequence of mutation - Non-Darwinian mechanisms generally are not
adaptive and include - Genetic drift Bottleneck
- Mutation
- Migration
- Non-Random mating
29Sampling Error Bottleneck
When a population is reduced in size randomly,
sampling error results in the allele frequencies
of the new population not likely matching what
were the allele frequencies in the old population
30Cheetah, Product of Bottleneck
The longer a population remains at a reduced
size, the greater the effect of genetic drift on
allele frequency
31Non-Darwinian Evolution
- Generally natural selection is the evolutionary
force most closely associated with Darwinism
(i.e., Darwinian evolution) - Keep in mind, though, that selection cannot
operate without genetic variation - Genetic variation, in turn, ultimately is a
consequence of mutation - Non-Darwinian mechanisms generally are not
adaptive and include - Genetic drift Founder effect
- Mutation
- Migration
- Non-Random mating
32Sampling Error Founder Effect
Note that the alleles lost are not necessarily
the same alleles as may have been lost due to
natural selection
New population
Genetic drift is sampling error
33Products of Genetic Drift
A locus for which only a single allele exists for
an entire gene pool is considered to be fixed,
i.e., a fixed locus
Isolated populations by chance fixed different
karyotypes
34Non-Darwinian Evolution
- Generally natural selection is the evolutionary
force most closely associated with Darwinism
(i.e., Darwinian evolution) - Keep in mind, though, that selection cannot
operate without genetic variation - Genetic variation, in turn, ultimately is a
consequence of mutation - Non-Darwinian mechanisms generally are not
adaptive and include - Genetic drift
- Mutation
- Migration
- Non-Random mating
35Mutation Neutral Variation
Note change in allele frequencies
36Mutation (1/2)
- Mutation (or, at least, net mutation) also
automatically changes allele frequency - For example, a mutation involves the conversion
of one allele into another allele - Typically mutation does not play a big, direct
role in changing allele frequency because
mutation rates per locus tend to be low - However, indirectly mutation is absolutely
essential to microevolutionary processes because
all allelic variation ultimately has a mutational
origin - Mutations represent random changes in highly
evolved (i.e., information laden) nucleotide
sequences, so often give rise to losses in gene
function (thus most mutations are recessive)
37Mutation (2/2)
- "Organisms are the refined products of thousands
of generations of past selection, and a random
change is not likely to improve the genome any
more than firing a gunshot blindly through the
hood of a car is likely to improve engine
performance. - Every now and then, though, a mutational change
is adaptive (and even less often, both adaptive
and dominant or codominant), i.e., novel
functions or novel expression of old functions - "On rare occasions, however, a mutant allele may
actually fit its bearer to the environment better
and enhance the reproductive success of the
individual. This is not especially likely in a
stable environment, but becomes more probable
when the environment is changing and mutations
that were once selected against are now favorable
under the new conditions." your text
38Non-Darwinian Evolution
- Generally natural selection is the evolutionary
force most closely associated with Darwinism
(i.e., Darwinian evolution) - Keep in mind, though, that selection cannot
operate without genetic variation - Genetic variation, in turn, ultimately is a
consequence of mutation - Non-Darwinian mechanisms generally are not
adaptive and include - Genetic drift
- Mutation
- Migration
- Non-Random mating
39Migration (Gene Flow)
Migration (movement of individuals) makes allele
frequencies become more similar
40Non-Darwinian Evolution
- Generally natural selection is the evolutionary
force most closely associated with Darwinism
(i.e., Darwinian evolution) - Keep in mind, though, that selection cannot
operate without genetic variation - Genetic variation, in turn, ultimately is a
consequence of mutation - Non-Darwinian mechanisms generally are not
adaptive and include - Genetic drift
- Mutation
- Migration
- Non-Random mating
41Natural Selection (1/2)
- Make sure that you understand that
- Natural selection acts on phenotypes
- Genotypes underlie phenotypes
- Alleles underlie genotypes
- Therefore, natural selection ultimately acts on
allele frequencies, though selection occurs
through the filter of both phenotype and genotype - "An organism exposes its phenotypeits physical
traits, metabolism, physiology, and behaviornot
its genotype, to the environment. Acting on
phenotypes, selection indirectly adapts a
population to its environment by increasing or
maintaining favorable genotypes in the gene
pool." your text
42Natural Selection (2/2)
- Natural selection can act during the haploid or
diploid stage - The effect of natural selection is to reduce (not
to increase) the absolute number of genotypes or
alleles - That is, mutation places alleles into a gene
pool, other microevolutionary forces can serve to
increase the frequency of the allele, but
selection acts to selectively remove maladaptive
alleles (mutation in, selection out) - In the absence of natural selection an organism
contributes x gametes to the next generation in
the presence of natural selection an organism
contributes ltx gametes to the next generation - Natural selection is differential reproductive
success - Natural selection serves to increase the
information content found within genomes
43Incorporating Selection
Recall, for example, that we are diploid, and
assume that natural selection is acting only at
the diploid stage
44Chalk discussion of effect of natural selection
on H.W. frequencies
45Selection for Toxin Resistance
"The modern synthesis emphasizes the importance
of populations as the units of evolution, the
central role of natural selection as the most
important mechanism of evolution, and the idea of
gradualism to explain how large changes can
evolve as an accumulation of small changes
occurring over long periods of time." your text
Seeds that drift onto mine tailings die unless
they are genetically predisposed toward
heavy-metal resistant
46Darwinian Fitness
- Darwinian fitness is the contribution an
individual makes to the gene pool of the next
generation relative to the contributions of other
individuals. p. 457, Campbell Reece, 2002 - Darwinian fitness is the allelic contribution an
individual makes to the next generation - Darwinian fitness is a quantity equal to the
average reproductive output associated with a
given genotype - The more likely an individual is to survive and
reproduce (i.e., to contributes its alleles to
the next generation), the higher that
individual's Darwinian fitness - Darwinian fitness is often simply called fitness
- People typically consider Darwinian fitness on a
locus-by-locus basis
47Relative Fitness
- In a more quantitative approach to natural
selection, population geneticists define relative
fitness as the contribution of a genotype to the
next generation compared to the contributions of
alternative genotypes for the same locus The
relative fitness of the most reproductively
successful variants is set at 1 as a basis for
comparison. pp. 458-459, Campbell Reece, 2002 - Restatement Typically the genotype with the
highest Darwinian fitness is given a relative
fitness of 1.0 - All other genotypes, i.e., those with lower than
the highest Darwinian fitness, then have relative
fitness values of less than 1.0 - If one genotype produces on average 4 progeny per
generation and another produces on average 1
progeny per generation, then what is the relative
fitness of the latter genotype? The former?
48Modes of Selection
49Stabilizing Selection
Stabilizing selection eliminates phenotypic
extremes within a population, thus increasing the
frequency of genotypes underlying intermediate
phenotypes
Stabilized populations tend to be reasonably well
adapted to their environments
50Directional Selection
Directional selection is natural selection
against only one phenotypic extreme
Directional selection is what people typically
think of when they think of natural selection
51Disruptive Selection
In disruptive selection the intermediate is
selected against
Disruptive selection can result in balanced
polymorphisms
52Sickle-Cell Prevalence
Selection by malaria exposure
53Directional Selection (in macroevolution)
"Of all the causes of microevolution, only
natural selection generally adapts a population
to its environment. The other agents of
microevolution are sometimes called non-Darwinian
because of their usually non-adaptive nature."
your text
Note This example is Macroevolutionary, not
Micro
54Sexual Selection
55Sexual Selection
- Sexual selection are forces that impact on mate
procurement - If you dont mate, you dont make babies
- Mate procurement involves competing with same
gender individuals (e.g., other males) and
attracting other-gender individuals - Intrasexual selection is a consequence of direct
competition (e.g., fighting) with ones own
gender - Intersexual selection (mate choice) is
competition for the other genders eye - How these mechanisms operate can differ greatly
from gender to gender - Basically, for some species (e.g., us), procuring
a mate can be a very complicated experience
56Sexual Selection
57Cost of Sex (Why bother?)
58Sexual Dimorphism
Nyala sexual dimorphism
Ammonite sexual dimorphism
In sexual dimorphism, males and females differ
phenotypically in addition to their possessing
different sexual organs
59Sexual Dimorphism (elephant seals)
Hey, I was bottlenecked, too!
60Genetic Polymorphism
- Genetic polymorphism is the presence of multiple
alleles at a given locus within a gene pool - In general, there is a lot more genetic
polymorphism in populations than meets the eye - This in part is because of hidden recessive
alleles, and also because different alleles do
not necessarily give rise to different phenotypes - Heritable variation within a population is
synonymous with polymorphism - Therefore, the raw material of natural selection
are polymorphisms
61Genetic Polymorphism
62Balanced Polymorphism
- Balanced polymorphisms are stably maintained
multiple alleles at a given locus - Heterozygous advantage, a.k.a., balancing
selection - E.g., Sickle cell anemia but otherwise probably
not too important - Hybrid Vigor ? a product of heterozygous
advantage and the masking of deleterious alleles - E.g., Hybrid corn, but can this maintain
polymorphisms in the wild? - Frequency-dependent selection ? selection for
alleles because they are rare, e.g., Major
Histocompatibility Complex - Neutral variation ? selection not strong enough
to remove alleles (unless environment changes) - There is more neutral variation in larger
populations due reduced strength of genetic drift
63Environmental Variation A Cline
64Temporal Phenotypic Variation
65Why no Perfect Organisms?
- "An organism's phenotype is constrained by its
evolutionary history - "Adaptations are often compromises
- "Not all evolution is adaptive
- It takes too much energy to optimize everything
so much of most organisms is simply good enough
to get the job done (a.k.a., the principle of
allocation) - "Selection can only edit variations that exist
- Even if a perfect organism existed, it would only
remain perfect so long as its environment
remained unchanged - To make matters worse, environments even change
over single individual's life spans
66The End