POPULATION EVOLUTIONARY GENETICS
PRESENTER: CRIS JOHN Q. LUDAS
PopGen
• GENETIC STRUCTURE OF
POPULATIONS
• CALCULATING ALLELE AND
GENOTYPE FREQUENCIES
• THE HARDY-WEINBERG
EQUILIBRIUM
• FORCES THAT DISRUPTS H-W
EQUILIBRIUM
EvoGen
• EVOLUTION
• THE CONCEPT OF SPECIES
• SPECIATION
• REPRODUCTIVE ISOLATING
MECHANISM
• MOLECULAR
EVOLUTION/PHYLOGENETIC
TREE/CLADOGRAM
• RATE OF MOLECULAR
EVOLUTION/MOLECULAR
CLOCKS
POPULATION GENETICS
DEFINITION AND GOALS OF POPULATION GENETICS
Population genetics, the branch of genetics that studies the genetic makeup of groups of
individuals and how a group’s genetic composition changes over time
Population genetics applies the principles of transmission genetics to large groups of
individuals, focusing on the transmission processes at one or a few genetic loci.
Population geneticists investigate the patterns of genetic variation found among
individuals within groups (the genetic structure of populations) and how these patterns
vary geographically and change over time.
MENDELIAN POPULATION, GENE POOL, AND
GENETIC STRUCTURE
A Mendelian population is a group of interbreeding
individuals who share a common set of genes.
The genes shared by the individuals of a Mendelian
population are called the gene pool.
The principal aim of population genetics is to
understand the genetics of evolution, a change in a
population or species over time.
Population geneticists study the variation in alleles
within and between groups and the evolutionary
forces responsible for shaping the patterns of
genetic variation found in nature.
GENETIC STRUCTURE OF POPULATION
Genes in a population (gene pool) may be MONOMORPHIC OR POLYMORPHIC
Monomorphism refers to a population where only one allele exists at a
particular locus or where all individuals have the same phenotype for a certain
trait.
Lack of variation in DNA sequence; all individuals are homozygous for the
same allele at a particular locus.
Monomorphism can limit the ability of a population to adapt to changing
environments because there is no genetic or phenotypic variation upon which
natural selection can act
POLYMORPHISM to describe a gene that commonly exists as two or more alleles in a
population.
Polymorphism may involve various types of changes such as a deletion of a significant region
of the gene, a duplication of a region, or a change in a single nucleotide.
The usual way of describing the population structure is to enumerate the
types and frequencies of genotypes and alleles in a population
To study the genetic structure of a Mendelian population, population
geneticists must first describe it quantitatively. They do this by calculating
genotype frequencies and allele frequencies within the population.
Genotypic and Allelic Frequencies Are Used to Describe the Gene Pool of
a Population
CALCULATING ALLELE FREQUENCY
Number of times a particular allele is present on a population.
Calculating Allele Frequencies
Where 𝑛𝐴𝐴 , 𝑛𝐴𝑎 , 𝑛𝑎𝑎 represent the numbers of AA, Aa, and aa individuals, and N
represents the total number of individuals (or population) in the sample.
The sum of allele frequencies is equal to 1: p+q = 1
CALCULATING GENOTYPIC FREQUENCY
To calculate a genotypic frequency, we simply add up the number of
individuals possessing a genotype and divide by the total number of
individuals in the sample (N). For a locus with three genotypes, AA, Aa,
and aa, the frequency (f) of each genotype is:
CALCULATING ALLELIC FREQUENCY IF THE GENOTYPIC FREQUENCY IS ALREADY
GIVEN.
Allelic frequencies can also be calculated from the genotypic frequencies.
To calculate an allelic frequency from genotypic frequencies, we add the frequency
of the homozygote for each allele to half the frequency of the heterozygote
DERIVING GENOTYPE FREQUENCY EQUATION FROM ALLELE
FREQUENCY
Allele Frequency
p + q = 1
Since there are two alleles, one from father and one from mother, that
are transmitted to the offspring, therefore:
(p+q)(p+q) = 1 or (p+q)2
= p2 + 2pq + q2 = 1
ALLELE AND GENOTYPE VARIABLES
a) p - represents dominant allele
b) q -represents recessive allele
c) p2 -represents homozygous dominant genotype
d) 2pq - represents heterozygous carrier genotype
e) q2 - represents homozygous recessive genotype
f) p + q = 1 - formula for allele frequency
g) p2 + 2pq + q2 - formula for genotype frequency
EXAMPLE
Using the table below, estimate the allele and genotype frequencies of the LM and LN
alleles among 6129 individuals in a population.
Calculating Frequencies for Multiple Alleles
Let,
𝐼𝐴
be p
𝐼𝐵
be q
i be r
PROBLEM
In one population sampled, the following blood-type frequencies are observed:
A = 0.53, B = 0.133, O = 0.26.
Find the frequencies of 𝐼𝐴
, 𝐼𝐵
, and i.
HARDY-WEINBERG PRINCIPLE
The Hardy–Weinberg principle was formulated independently by G. H. Hardy and
Wilhelm Weinberg in 1908.
The principle is a mathematical model that evaluates the effect of reproduction on the
genotypic and allelic frequencies of a population.
It describes what happens to allele and genotype frequencies in an “ideal” population
that is infinitely large and randomly mating, and that is not subject to any evolutionary
forces such as mutation, migration, or selection.
The theoretical population described by the Hardy–Weinberg model is
based on the following assumptions:
1. Individuals of all genotypes have equal rates of survival and equal
reproductive success—that is, there is no selection.
2. No new alleles are created or converted from one allele into another by
mutation.
3. Individuals do not migrate into or out of the population.
4. The population is infinitely large, which in practical terms means that the
population is large enough that sampling errors and other random
effects are negligible.
5. Individuals in the population mate randomly
Assumptions: If a population is large, randomly mating, and not affected by mutation,
migration, or natural selection, then
Prediction 1: the allelic frequencies of a population do not change; and
Prediction 2: the genotypic frequencies stabilize (will not change) after one generation
The Hardy–Weinberg law indicates that, when its assumptions are met, reproduction
alone does not alter allelic or genotypic frequencies, and the allelic frequencies
determine the frequencies of genotypes.
This condition is known as Hardy-Weinberg equilibrium.
Testing for Hardy–Weinberg in a Population
The CCR5 gene encodes a protein called the C-C chemokine receptor-5, often abbreviated
CCR5. Chemokines are signaling molecules associated with the immune system. The CCR5
protein is also used by strains of HIV-1 to gain entry into cells. The mutant allele of the
CCR5 gene contains a 32-bp deletion, making the encoded protein shorter and
nonfunctional, blocking the entry of HIV-1 into cells. The normal allele is called CCR51 (also
called 1), and the mutant allele is called CCR5-∆32 (also called ∆32).
Determine whether the following data represent populations that are in Hardy–
Weinberg equilibrium
CCR5 genotypes: 1/1, 60 percent; 1/∆32, 35.1 percent; ∆32/∆32, 4.9 percent
Solution:
STEP 1. Calculate first the allele frequencies based on genotype frequencies (parents).
STEP 2. Calculate the genotypic frequencies
STEP 3. Compare the genotypic or allelic frequency of the offspring from the parents or
use Chi Square Goodness of Fit to determine if the proportion of genotypic frequency in
offspring is NOT significantly different from the genotypic frequency of parents.
ANSWER
IN EQULIBRIUM
CONCLUSION: The population is under the H-W equilibrium
The Hardy–Weinberg model has three additional important
consequences:
1. Dominant traits do not necessarily increase from one generation to
the next.
2. Genetic variability can be maintained in a population, since, once
established in an ideal population, allele frequencies remain
unchanged.
3. Under Hardy–Weinberg assumptions, knowing the frequency of just
one genotype enables us to calculate the frequencies of all other
genotypes.
Implications of the Hardy–Weinberg Principle
Population cannot evolve if it meets the Hardy–Weinberg assumptions because
evolution consists of change in the allelic frequencies of a population.
When a population is in Hardy–Weinberg equilibrium, the genotypic frequencies are
determined by the allelic frequencies.
The fact that genotypes are in Hardy–Weinberg proportions does not prove that the
population is free from natural selection, mutation, and migration. It means only that
these forces have not acted since the last time random mating took place.
A final implication is that when a population is not in Hardy Weinberg equilibrium, one
of the assumptions of the law has not been met, although without further
investigation it will not be apparent which assumption has been violated.
Estimating Allelic Frequencies with the Hardy–Weinberg Law
We can use the Hardy-Weinberg principle in estimating allele
frequencies if a particular trait/disease is recessive and we cannot
easily distinguish between homozygous normal and heterozygous
carriers.
The frequency of a recessive trait can usually be determined by
identifying and counting individuals with the homozygous recessive
phenotype in a sample of the population.
With this information and the Hardy–Weinberg law, we can then
calculate the allele and genotype frequencies for this gene.
Example:
Cystic fibrosis is a life-threatening autosomal recessive disorder characterized by frequent
and severe respiratory infections, incomplete digestion, and abnormal sweating. Among
North American Caucasians, the incidence of the disease is approximately 1 person in
2000. a. ) Find the frequency of this mutant allele, b) the frequency of normal allele, c.)
the heterozygotes in the population.
Answer:
a. 0.02
b. 0.98
c. 0.04
FORCES THAT
DISRUPTS HARDY-
WEINBERG
EQUILIBRIUM
Several Evolutionary Forces Can Disrupt Hardy-Weinberg equilibrium.
The Hardy–Weinberg law indicates that allelic frequencies do not change as a
result of reproduction. The processes that bring about change in allelic
frequencies include
• Nonrandom mating,
• Mutation,
• Migration,
• Genetic drift (random effects due to small population size),
• and Natural selection
NONRANDOM
MATING
Nonrandom mating can take one of
several forms. POSITIVE & NEGATIVE
ASSORIVE MATING
In positive assortative mating, similar
phenotype are more likely to mate than
dissimilar ones.
This often occurs in humans: A number
of studies have indicated that many
people are more attracted to individuals
who physically resemble them (and are
therefore more likely to be genetically
similar as well).
Negative assortative mating occurs
when dissimilar phenotype are more
likely to mate.
Some plant species have inbuilt
recognition systems that prevent
fertilization between individuals with
the same alleles at key loci.
However, the form of nonrandom mating most
commonly found to affect genotype frequencies in
population genetics is inbreeding.
Inbreeding occurs when mating individuals are more
closely related than any two individuals drawn from
the population at random; loosely defined,
inbreeding is mating among relatives.
For a given allele, inbreeding increases the
proportion of homozygotes and decreases the
proportion of heterozygotes in the population.
A completely inbred population will theoretically
consist only of homozygous genotypes.
• PHYSICALLY
DISABLED
• MENTALLY
RETARDED
• DISFIGURED
• IMPOTENT
• BALD BY THE AGE
OF 35
MUTATION
Before evolution can take place, genetic variation must exist within a
population; consequently, all evolution depends on processes that generate
genetic variation.
The enormous genetic variation present in the gene pool allows assortment
and recombination to produce new combinations of genes already present in
the gene pool.
But assortment and recombination do not produce new alleles.
Mutation alone acts to create new alleles.
The Effect of Mutation on Allelic Frequencies
Consider a single locus in a population of 25 diploid individuals.
Each individual possesses two alleles at the locus under consideration, so the gene pool of
the population consists of 50 allele copies.
Let’s assume that there are two different alleles, designated A and a, with frequencies p
and q, respectively.
If there are 45 copies of A and 5 copies of a in the population, p = 0.90 and q = 0.10.
Now suppose that a mutation changes A allele into a allele. After this mutation, there are
44 copies of A and 6 copies of a , and the frequency of a has increased from 0.10 to 0.12.
Mutation has changed the allelic frequencies. If copies of A continue to mutate to a , the
frequency of a will increase and the frequency of A will decrease.
The amount that a will change as a result of mutation depends on:
(1) the rate of A -to-a mutation, and
(2) the frequency of A in the population.
The mutation rate is defined as the probability that a gene will be altered by a new
mutation.
A common value for the mutation rate is in the range of 1 in 100,000 to 1 in 1,000,000, or
10^–5 to 10^–6 per generation.
We can use the following equation to calculate the change in allele frequency
after any number of generations.
Therefore, after 1000 generations, the frequency of A has
dropped only from 0.8 to 0.792.
MIGRATION
Another process that may bring about change in a population’s allelic
frequencies is the influx of genes from other populations, commonly called
migration or gene flow.
One of the assumptions of the Hardy–Weinberg law is that migration does not
take place, but many natural populations experience migration from other
populations.
When individuals move from one territory to another, they carry their genes
with them. The introduction of genes by recent migrants can alter allele and
genotype frequencies within a population and disrupt the state of Hardy–
Weinberg equilibrium.
CALCULATING THE EFFECTS OF MIGRATION ON ALLELE FREQUENCIES
Imagine a species in which a given locus has two alleles, A and a. There are two
populations of this species, one on a mainland and one on an island.
(1) the frequency of A on the mainland is represented by pm, and
the frequency of A on the island is pi.
(2) If there is migration from the mainland to the island, the frequency of A in the next
generation on the island (pi′) is given by
where m represents migrants from the mainland to the island and that migration is
random with respect to genotype.
EXAMPLE
Yellow-feathered birds from mainland forest migrates on an isolated island
filled with green-feathered birds. Let p be the allele that codes for yellow
feathers.
Assume that the frequency of the dominant allele of birds from the isolated
island is pi = 0.4 and that the dominant allele of birds from the forest is pm =
0.6.
If 10% of the population migrated to the island, what will be the frequency of
the next generation yellow-feathered birds in the island?
Given:
pi = 0.4
pm = 0.6.
m = 10% = 0.1
Solution:
CONCLUSION
The frequency of yellow-feathered birds in the island increased, from 0.4
to 0.42.
The effect of migration on allelic frequencies.
After migration, population II consists of two types of individuals: (1) migrants with
genes from population I, and (2) the original residents with genes from population II.
The allelic frequencies in population II after migration depend on the alleles of migrants
and original population.
The amount of frequency change of allele in population II is directly proportional to the
amount of migration.
The magnitude of change is also affected by the differences in allelic frequencies of two
population.
Migration has two major effects.
First, migration adds genetic variation to populations. Different alleles may arise in
different populations owing to rare mutational events, and these alleles can be
spread to new populations by migration, increasing the genetic variation within the
recipient population
Second, it causes the gene pools of different populations to become more similar.
GENETIC DRIFT
GENETIC DRIFT
It is a process by which significant random fluctuations in allele frequencies are
caused by chance alone due to small population.
When the population size is small, a limited number of gametes unite to produce the
individuals of the next generation, and chance influences which alleles are present in
this limited sample. In this way, the error due to chance may lead to genetic drift
A population’s susceptibility to random genetic drift depends on its size. In large
populations, the effect of genetic drift is minimal, whereas in small ones, it may be
the primary evolutionary force.
Geneticists gauge the effect of population size by monitoring the frequency of
heterozygotes over time.
EFFECT OF POPULATION SIZE
In a very large population—essentially infinite in size—the frequencies of p and q will be constant and the
frequency of the heterozygotes that carry these two alleles will be 2pq.
In a small population of finite size N, the allele frequencies will change randomly as a result of genetic drift.
Because of these changes, the frequency of heterozygotes, often called the heterozygosity, will also change.
To express the magnitude of this change over one generation, let’s define the current frequency of
heterozygotes as H and the frequency of heterozygotes in the next generation as H’. Then the
mathematical relationship between H and H’ is
This equation tells us that in one generation, random genetic drift causes the heterozygosity to decline by
a factor of 1/2N .
In a total of t generations, we would expect the heterozygosity to decline to a level
given by the equation:
This equation enables us to see the cumulative effect of random genetic drift over many
generations. In each generation, the heterozygosity is expected to decline by a factor of
1/2N ; over many generations, the heterozygosity will eventually be reduced to 0, at which
point all genetic variability in the population will be lost.
At this point the population will possess only one allele of the gene, and either p 1 and q 0,
or p 0 and q 1. Thus, through random changes in allele frequencies, drift steadily erodes
the genetic variability of a population, ultimately leading to the fixation and loss of alleles
Drift ultimately leads to the fixation of one allele at a locus and the loss of all
other alleles; the probability that an allele will ultimately be fixed is equal to
its current frequency in the population.
EXAMPLE
Assume that the average population size of a tribe on an island is 20 when the colony
was founded. Furthermore, also assume that the heterozygous has a frequency of
0.20 during its foundation. Let’s suppose that 10 generations have elapsed until today.
What is the frequency of heterozygous in the population?
Given
H = 0.20
N = 20
t = 10
Solution
Solution
Conclusion
Genetic drift caused the reduction in the genetic variability of
the population.
CAUSES OF GENETIC DRIFT
BOTTLENECK EFFECT
Develops when a population
undergoes a drastic reduction in size.
The original population has large
variation.
A bottleneck even occurs resulting in
reduced variation.
FOUNDER EFFECT
Result from the establishment of a
population by a small number of individuals.
A population can increase and
become quite large, the genes carried by all
its members are derived from the few genes
originally present in the founders (assuming
no migration or mutation).
Chance events affecting which genes
were present in the founders will have an
important influence on the makeup of the
entire population.
The Effects of Genetic Drift
Genetic drift has several important effects on the genetic
composition of a population.
First, it produces change in allelic frequencies within a population.
Second, genetic variation is reduced.
Third, different population diverge genetically with time. Because
drift is random, the frequencies in different populations do not
change in the same way, and so populations gradually acquire
genetic differences
WHAT IS NATURAL SELECTION?
Differential reproduction of genotypes.
Individuals with adaptive traits produce a greater
number of offspring than that produced by others
in the population.
Better traits are inherited and appear with greater
frequency.
The effect of natural selection on the gene pool of a
population depends on the fitness values of the
genotypes in the population
FITNESS is defined as the relative reproductive success of a genotype.
Fitness ranges from 0 to 1.
Represented by “ W.”
We can calculate the Fitness of a genotype by finding the mean number of the
offspring of the parents and divide it by the mean number of the offspring
produced by the most prolific genotype.
W =
𝑀𝑜𝑓𝑓𝑠𝑝𝑟𝑖𝑛𝑔
𝑀𝑝𝑟𝑜𝑙𝑖𝑓𝑖𝑐𝑔𝑒𝑛𝑜𝑡𝑦𝑝𝑒
NATURAL SELECTION PROBLEM
In a dark forest, there are two types of moth;
dark-colored moths and light colored moths.
Assume that the A is a dominant allele that codes
for dark colors while a is a recessive allele that
codes for light color in moths. If AA produced 15
offspring, Aa produced 10 offspring, and aa
produced 4 offspring,
Calculate the fitness of each genotype in this
particular environment.
a.) Which genotype is the most fit or likely to be
produced in greater frequency?
b.) What genotype is the least fit or likely to be
eradicated?
SELECTION COEFFICIENT (s) - relative intensity of selection AGAINST a
genotype.
- it is equal to 1-W
PROBLEM:
Using the given from the previous problem, calculate the selection
coefficient of each genotype
a.) Which genotype is likely to be selected against?
b.) Which genotype is likely to be selected for?
The Wallace–Darwin concept of natural selection can be summarized as follows:
1. Individuals of a species exhibit variations in phenotype—for example, differences in
size, agility, coloration, defenses against enemies, ability to obtain food, courtship
behaviors, and flowering times.
2. Many of these variations, even small and seemingly insignificant ones, are heritable
and are passed on to offspring.
3. Organisms tend to reproduce in an exponential fashion. More offspring are
produced than can survive. This causes members of a species to engage in a struggle
for survival, competing with other members of the community for scarce resources.
Offspring also must avoid predators, and in sexually reproducing species, adults must
compete for mates.
4. In the struggle for survival, individuals with particular phenotypes will be more
successful than others, allowing the former to survive and reproduce at higher rates
TYPES OF SELECTION ON THE BASIS OF GENOTYPE
The results of selection depend on the relative fitnesses of the genotypes.
DIRECTIONAL SELECTION
If one genotype confers advantage against another genotype.
Eventually, directional selection leads to fixation of the favored allele and
elimination of the other allele, as long as no other evolutionary forces act on
the population.
OVERDOMINANCE
Also known as heterozygote advantage.
Heterozygotes has higher fitness than the fitness of two homozygotes.
Both alleles are favored and neither allele is eliminated in the population.
The allelic frequencies change with overdominant selection until a stable equilibrium is
reached, at which point there is no further change.
UNDERDOMINANCE
The heterozygote has lower fitness than both homozygotes
Underdominance leads to an unstable equilibrium; here, allelic frequencies will not change
as long as they are at equilibrium but, if they are disturbed from the equilibrium point by
some other evolutionary force, they will move away from equilibrium until one allele
eventually becomes fixed.
TYPES OF SELECTION ON THE BASIS OF PHENOTYPE
Directional selection occurs when conditions favor individuals exhibiting one extreme
of a phenotypic range, thereby shifting a population’s frequency curve for the
phenotypic character in one direction or the other.
Stabilizing selection acts against both extreme phenotypes and favors intermediate
variants.
Disruptive selection occurs when conditions favor individuals at both extremes of a
phenotypic range over individuals with intermediate phenotypes.
DIFFERENCES
GENOTYPE PHENOTYPE
DIRECTIONAL
Favors one allele/genotype over the other
DIRECTIONAL
Favors one phenotype at an extreme range over
the other.
UNDERDOMINANCE
The heterozygote has lower fitness than both
homozygotes.
STABILIZING
Favor individuals at both extremes of a
phenotypic range over individuals with
intermediate phenotype
OVERDOMINANCE
Heterozygotes has higher fitness than
homozygotes.
Both alleles are favored.
DISRUPTIVE
Favors intermediate phenotypes
SUMMARY
MOLECULAR EVOLUTION
(EVOLUTIONARY GENETICS)
DEFINITION OF EVOLUTION
Evolution, in the biological sense, refers only to a specific type of change: genetic
change taking place in a group of organisms.
Biological evolution includes genetic change only
Many nongenetic changes take place in living organisms, such as the
development of a complex, intelligent person from a single-celled zygote.
Although remarkable, this change isn’t evolution because it does not include
genetic changes.
Biological evolution takes place in groups of organisms.
An individual organism does not evolve; what evolves is the gene pool common
to a group of organisms
PROCESS OF EVOLUTION
Genetic variation arises.
Genetic variation has its origin in the processes of mutation, which produces
new alleles, and recombination, which shuffles alleles into new combinations.
Both of these processes are random and produce genetic variation continually,
regardless of evolution’s requirement for it.
Change in the frequencies of genetic variants.
The various evolutionary forces discussed previously cause some alleles in the
gene pool to increase in frequency and other alleles to decrease in frequency.
This shift in the composition of the gene pool common to a group of organisms
constitutes evolutionary change
TYPES OF EVOLUTION
Anagenesis refers to evolution
taking place in a single lineage (a
group of organisms connected by
ancestry) over time.
Cladogenesis, the splitting of one
lineage into two. When a lineage
splits, the two branches no longer
have a common gene pool and
evolve independently of each other.
New species arise through
cladogenesis.
WHAT IS A “SPECIES?”
The term species literally means “kind” or “appearance”; species are different kinds or types of living
organisms.
The concept of a species has two primary uses in biology.
TAXONOMIC CONCEPT
Species is a particular type of organism to which a unique name has been given.
species refers to a distinct type of organism that biologists classify and name using a specific naming
system (binomial nomenclature, where each species has a unique Latinized name). This concept is
primarily concerned with the classification and identification of organisms based on their physical
characteristics, genetic makeup, and other observable traits.
EVOLUTIONARY CONCEPT
Species is in an evolutionary context: a species is considered an evolutionarily independent group of
organisms.
This means that members of a species are more closely related to each other than they are to
individuals of other species. They also share a common evolutionary history and are capable of
interbreeding to produce fertile offspring under natural conditions.
The Biological Species Concept
Widely used definition and developed by evolutionary biologist Ernst Mayer
He defined species as group of organisms whose members are capable of interbreeding with
one another but are reproductively isolated from the members of other species.
In other words, members of the same species have the biological potential to exchange genes,
and members of different species cannot exchange genes. Because different species do not
exchange genes, each species evolves independently.
Problems Associated with the concept
It is often difficult to determine whether living species are biologically capable of exchanging
genes.
Exceptions:
Bacteria
Hybrid (i.e. horse and donkey)
Morphospecies or morphological species concept defines a species entirely on
phenotypic (morphological) similarities and differences.
Distinguishes a species by body shape and other structural features. The
morphological species concept can be applied to asexual and sexual organisms, and it
can be useful even without information on the extent of gene flow.
Phylogenetic species concept defines a species as the smallest recognizable group that
has a unique evolutionary history.
SPECIATION
SPECIATION – a process by which new species arise.
Speciation comes about through the evolution of reproductive isolating
mechanisms—mechanisms that prevent the exchange of genes between groups of
organisms.
TYPES OF SPECIATION
1. ALLOPATRIC SPECIATION
2. PARAPATRIC SPECIATION
3. SYMPATRIC SPECIATION
ALLOPATRIC SPECIATION (from the Greek
allos, other, and Latin patria, homeland)
Happens when members of a species or a
population become geographically
separated from the other members. This
form of speciation can occur by the
geographic subdivision of large
populations via geological processes.
After separation, the geographical barrier
prevents gene flow between them and
they evolve independently.
It may eventually lead to prezygotic and
postzygotic reproductive isolation.
Ammospermophilus harrisii
LOCATION: South Rim of Grand
Canyon
Ammospermophilus leucurus
LOCATION: North Rim of Grand
Canyon
PARAPATRIC SPECIATION (from the Greek para, beside)
Occurs when geographic separation is not complete and members of species
are partially separated.
SYMPATRIC SPECIATION (from the Greek
sym, together)
Occurs when a new species arises in the
same geographic area as the species
from which it was derived.
Sympatric speciation can occur if gene
flow is reduced by such factors as
polyploidy, sexual selection, and habitat
differentiation.
POLYPLOID
A species may originate from an accident during cell division that results in extra sets of
chromosomes, a condition called polyploidy
SEXUAL SELECTION
Sexual choice of a female result in reproductive isolation.
The mate choice of females based on male breeding coloration can act as a reproductive barrier that
keeps the gene pools of these two species separate. Since the species can still interbreed when this
prezygotic barrier is breached in the laboratory, the genetic divergence between the species is likely
to be small. This suggests that speciation in nature has occurred relatively recently.
HABITAT DIFFERENTIATION
North American apple maggot fly
(Rhagoletis pomonella ). This fly
originally fed on native hawthorn trees.
However, the introduction of apple trees
approximately 200 years ago provided a
new local environment for this species.
The apple-feeding populations of this
species develop more rapidly because
apples mature more quickly than
hawthorne fruit. The result is partial
temporal isolation in reproduction.
REPRODUCTIVE ISOLATING MECHANISMS
The key to species differences under the biological species concept is reproductive
isolation—biological characteristics that prevent genes from being exchanged between
different species.
Any biological factor or mechanism that prevents gene exchange is termed a
reproductive isolating mechanism.
It is the key to the genetic definition of species.
Prezygotic reproductive isolating mechanisms, which prevent gametes from two different
species from fusing and forming a hybrid zygote.
Postzygotic reproductive isolating mechanisms, in which gametes of two species fuse and
form a zygote, but there is no gene flow between the two species, either because the
resulting hybrids are inviable or sterile or because reproduction breaks down in
subsequent generation
MOLECULAR EVOLUTION
Refers to patterns and processes associated with evolutionary change at the molecular level.
Evolutionary changes at the DNA level can be objectively compared among different species
to establish evolutionary relationships. Furthermore, this approach can be used to compare
any two existing organisms, no matter how greatly they differ in their morphological traits.
For example, we can compare DNA sequences between humans and bacteria, or between
plants and fruit flies. Such comparisons would be very difficult at a morphological level.
PHYLOGENY VS PHYLOGENETIC
TREE
PHYLOGENY - evolutionary
relationships among group of
organisms
PHYLOGENETIC TREE– a “tree” that
illustrates the history and
relationship of a group of
organisms through a branching
diagram.
Speciation is associated with genetic
divergence of populations. Therefore,
we should be able to use genetic
differences and similarities among
present-day species to reconstruct
their evolutionary histories.
Homology – similarities among
various species that occur because
the species are derived from a
common ancestor.
Homologous – attributes that are
result of homology.
One method, known as a cladistic approach, reconstruct a phylogenetic tree, also called
a cladogram, by considering the various possible pathways of evolution and then
choosing the most plausible tree.
Cladistics is a commonly used method for the construction of phylogenetic trees.
A cladistic approach compares traits, also called characters, that are either shared or not
shared by different species.
These can be morphological traits, such as the shapes of birds’ beaks, or molecular traits,
such as sequences of homologous genes. Such characters may come in different versions
called character states. Those that are shared with a distant ancestor are called ancestral
characters (also called primitive characters). Such characters are viewed as being older—
ones that arose earlier in evolution. In contrast, a shared derived character, or
synapomorphy, is a trait that is shared by a group of organisms but not by a distant
common ancestor.
CONSTRUCTING CLADOGRAM BASED ON DNA SEQUENCES
1. DNA sequences representing a gene or genome of interest from a number of
different species must be acquired.
2. The sequences must be aligned with each other so that the related parts of each
sequence can be compared to see if they are the same or different. More closely related
species have fewer DNA differences because there has been less time for accumulation of
DNA differences since they last shared a common ancestor.
3. These DNA differences are used to construct a phylogenetic tree, often beginning with
the most closely related sequences and working backwards through sequences that are
less closely related
USING THE FOLLOWING SEQUENCIES, CONSTRUCT A
PHYLOGENETIC DIAGRAM.
Species A A T C G T G G T A C T G
Species B C C G G A G A A C T A G
Species C A A C G T G C T A C T G
Species D A T G G T G A A A G T G
Species E C C G G A A A A C T T G
Species F T G G C C C T G T A T C
A B C D E F
A - 9 2 4 9 11
B - 9 6 2 11
C - 5 9 11
D - 6 10
E - 10
F -
DISSIMILARITY MATRIX TABLE
STEP 1:
Create a dissimilarity
matrix.
Compare the
nucleotide sequence
between two species
and count their
dissimilar
nucleotides.
Find the least
dissimilar sequences.
CONSTRUCT THE
INITIAL CLADOGRAM
A - C B D E F
A - C - 9 4.5 9 11
B - 6 2 11
D - 6 10
E - 10
F -
DISSIMILARITY TABLE WITH A-C
A B C D E F
A - 9 2 4 9 11
B - 9 6 2 11
C - 5 9 11
D - 6 10
E - 10
F -
STEP 2:
Combine A & C
and create another
dissimilarity
matrix.
A - C B - E D F
A - C - 9 4.5 11
B - E - 6 10.5
D - 10
F -
A - C B D E F
A - C - 9 4.5 9 11
B - 6 2 11
D - 6 10
E - 10
F -
DISSIMILARITY TABLE WITH A-C & B-E
STEP 3:
Combine B & E and create the
third dissimilarity matrix.
Find the least dissimilar sequence
and add to the cladogram.
A – C - D B - E F
A – C - D - 7.5 10.5
B - E - 10.5
F -
A - C B - E D F
A - C - 9 4.5 11
B - E - 6 10.5
D - 10
F - STEP 4.
Combine D with A-C and
create the last matrix.
Construct the final
cladogram,.
RATE OF MOLECULAR EVOLUTION
Refers to the speed at which the sequences of molecules, such as DNA or proteins,
change over time within a population or lineage of organisms.
This rate is typically measured as the number of substitutions or changes that accumulate
in the sequences of these molecules per unit of time.
RATES OF NONSYNONYMOUS VS
SYNONYMOUS SUBSTITUTION
Nonsynonymous substitution - Nucleotide
changes in a gene that alter the amino acid
sequence of a protein.
Synonymous substitution - Nucleotide changes,
particularly those at the third position of a
codon, that DO NOT ALTER the amino acid
sequence of a protein.
The synonymous rate of change is considerably higher than the
nonsynonymous rate because synonymous mutations are tolerated by
natural selection.
Nonsynonymous mutations, on the other hand, alter the amino acid
sequence of the protein and, in many cases, are detrimental to the
fitness of the organism; so most of these mutations are eliminated by
natural selection.
Substitution Rates for Different Parts of a Gene
Different parts of a gene also evolve at different rates.
The highest rates of substitution occur in those regions of the gene that have the least
effect on function, such as the third position of a codon, flanking regions, and introns.
The 5 ′ and 3 ′ flanking regions of genes are not transcribed into RNA; therefore,
substitutions in these regions do not alter the amino acid sequence of the protein.
Substitution rates are somewhat lower in the 5’ and 3’ untranslated regions of a gene.
The 5 untranslated region contains the ribosome-binding site, which is essential for
translation, and the 3 untranslated region contains sequences that may function in
regulating mRNA stability and translation; so substitutions in these regions may have
deleterious effects on organismal fitness and may not be tolerated.
The lowest rates of substitution are seen in nonsynonymous changes in the
coding region, because these substitutions always alter the amino acid
sequence of the protein and are often deleterious.
The highest rates of substitution are in pseudogenes, which are duplicated
nonfunctional copies of genes that have acquired mutations. Such genes no
longer produce a functional product; so mutations in pseudogenes have no
effect on the fitness of the organism
Phylogenetic trees tell us about the evolutionary relationships among DNA or
protein sequences.
If we can link the branch points of a tree to specific times in the evolutionary
history of the sequences, then we can determine the rate at which the sequences
have been evolving.
SOLVE: Using the following cladogram and table, calculate the rate of amino acid
substitution in the sequence of alpha-globin protein (which contains 141 amino acids).
STEP 1: DETERMINE THE AVERAGE NUMBER OF AMINO ACID CHANGES (AMINO ACID SUBSTITUTION) THAT HAVE
OCCURRED SINCE ANY TWO OF THE LINEAGE SPLIT FROM COMMON ANCESTOR.
HUMAN – MOUSE: 6/141 = 0.04
INTERPRETATION: 0.04 is the average number of substitution per amino acid site.
STEP 2: OBTAIN THE AVERAGE NUMBER OF AMINO ACID SUBSTITUTION USING POISSON
CORRECTION FORMULA, -In (1-v)
= -In (1-v)
= -In (1-0.04)
= 0.04
STEP 3: DETERMINE THE RATE OF M.E BY DIVIDING THE NUMBER OF CHANGES OF AMINO ACID PER SITE TO
THE TOTAL TIME THAT THE TWO LINEAGE HAS SINCE DIVERGED.
HUMAN – MOUSE:
TOTAL TIME: 2 (80 MY) = 160 MY
RATE OF M.E: 0.04/160 MY= 0.25 x 10-3 amino acid changes per site/year
INTERPRETATION: This means that on average, at each amino acid position (site) in the alpha-globin protein,
less than 1 mutation occur per year throughout 80 million years.
It suggests that over very long periods, the gene accumulates very few amino acid changes per site, indicating a
slow rate of evolution for this particular gene.
MOLECULAR CLOCKS
In many cases, we would like to estimate not only
which members of a set of species are most closely
related, but also when their common ancestors lived.
It uses the rate of change in amino acid or nucleotide
sequences as a way to estimate the time of
divergence from common ancestor.
Calculations based on the assumption of a molecular
clock can be very helpful in estimating when, in
historical time, lineages diverged from a common
ancestor.
EXAMPLE
Human and horse a-globin polypeptides differ in 18 of 141 amino acid positions.
On average, how many amino acid substitutions have occurred per site in this
polypeptide since the human and horse lineages diverged from a common ancestor?
If the evolutionary rate for a-globin among mammals has been 0.74 substitutions per
site every billion years, how much time has elapsed since the common ancestor of
humans and horses existed?
GIVEN:
18 of 141 amino acid position
0.74 substitution per site every billion years
SOLUTION:
STEP 1: CALCULATE THE AVERAGE NUMBER OF AMINO ACID SUBSTITUTION
18/141 = 0.128
-In (1 – 0.128) = 0.136 amino acid substitution per site.
STEP 2: CALCULATE THE TOTAL TIME THAT HAS ELAPSED SINCE THE COMMON
ANCESTOR OF HUMANS AND HORSES BY DIVIDING THE AMINO ACID PER SITE TO
THE ESTIMATED EVOLUTIONARY RATE FOR MAMMALS.
0.136/0.74 = 0.1837
= 0.1837(1000000000)
= 183,700,000 or 184 million years
STEP 3: TO GET THE SPAN OF TIME, DIVIDE THE TOTAL TIME TO OBTAIN THE TIME
SINCE THEIR COMMON ANCESTOR EXISTED.
184 my/2 = 92 million years
Homologous Genes Are Derived from a Common Ancestral Gene
PARALOG GENES VS ORTHOLOG GENES
PARALOG GENES – two or more homologous genes can be found within a single
species
ORTHOLOG GENES – two homologous genes are found in different species.
The sequences of the orthologs are more similar to each other than they are to the paralogs.
For example, the sequences of human and horse β globins show 25 differences, whereas the
human β globin and human α globins show 84 differences.
They indicate that the gene duplications that created the α-globin and β-globin genes
occurred long before the evolutionary divergence that produced different species of
mammals. For this reason, there was a greater amount of time for the α- and β-globin genes
to accumulate changes compared to the amount of time that has elapsed since the
evolutionary divergence of mammalian species.
LUDAS_POPULATION-AND-EVOLUTIONARY-GENETICS.pdf
LUDAS_POPULATION-AND-EVOLUTIONARY-GENETICS.pdf

LUDAS_POPULATION-AND-EVOLUTIONARY-GENETICS.pdf

  • 1.
  • 2.
    PopGen • GENETIC STRUCTUREOF POPULATIONS • CALCULATING ALLELE AND GENOTYPE FREQUENCIES • THE HARDY-WEINBERG EQUILIBRIUM • FORCES THAT DISRUPTS H-W EQUILIBRIUM EvoGen • EVOLUTION • THE CONCEPT OF SPECIES • SPECIATION • REPRODUCTIVE ISOLATING MECHANISM • MOLECULAR EVOLUTION/PHYLOGENETIC TREE/CLADOGRAM • RATE OF MOLECULAR EVOLUTION/MOLECULAR CLOCKS
  • 3.
  • 4.
    DEFINITION AND GOALSOF POPULATION GENETICS Population genetics, the branch of genetics that studies the genetic makeup of groups of individuals and how a group’s genetic composition changes over time Population genetics applies the principles of transmission genetics to large groups of individuals, focusing on the transmission processes at one or a few genetic loci. Population geneticists investigate the patterns of genetic variation found among individuals within groups (the genetic structure of populations) and how these patterns vary geographically and change over time.
  • 5.
    MENDELIAN POPULATION, GENEPOOL, AND GENETIC STRUCTURE A Mendelian population is a group of interbreeding individuals who share a common set of genes. The genes shared by the individuals of a Mendelian population are called the gene pool. The principal aim of population genetics is to understand the genetics of evolution, a change in a population or species over time. Population geneticists study the variation in alleles within and between groups and the evolutionary forces responsible for shaping the patterns of genetic variation found in nature.
  • 6.
    GENETIC STRUCTURE OFPOPULATION Genes in a population (gene pool) may be MONOMORPHIC OR POLYMORPHIC Monomorphism refers to a population where only one allele exists at a particular locus or where all individuals have the same phenotype for a certain trait. Lack of variation in DNA sequence; all individuals are homozygous for the same allele at a particular locus. Monomorphism can limit the ability of a population to adapt to changing environments because there is no genetic or phenotypic variation upon which natural selection can act
  • 7.
    POLYMORPHISM to describea gene that commonly exists as two or more alleles in a population. Polymorphism may involve various types of changes such as a deletion of a significant region of the gene, a duplication of a region, or a change in a single nucleotide.
  • 8.
    The usual wayof describing the population structure is to enumerate the types and frequencies of genotypes and alleles in a population To study the genetic structure of a Mendelian population, population geneticists must first describe it quantitatively. They do this by calculating genotype frequencies and allele frequencies within the population. Genotypic and Allelic Frequencies Are Used to Describe the Gene Pool of a Population
  • 9.
    CALCULATING ALLELE FREQUENCY Numberof times a particular allele is present on a population. Calculating Allele Frequencies Where 𝑛𝐴𝐴 , 𝑛𝐴𝑎 , 𝑛𝑎𝑎 represent the numbers of AA, Aa, and aa individuals, and N represents the total number of individuals (or population) in the sample. The sum of allele frequencies is equal to 1: p+q = 1
  • 10.
    CALCULATING GENOTYPIC FREQUENCY Tocalculate a genotypic frequency, we simply add up the number of individuals possessing a genotype and divide by the total number of individuals in the sample (N). For a locus with three genotypes, AA, Aa, and aa, the frequency (f) of each genotype is:
  • 11.
    CALCULATING ALLELIC FREQUENCYIF THE GENOTYPIC FREQUENCY IS ALREADY GIVEN. Allelic frequencies can also be calculated from the genotypic frequencies. To calculate an allelic frequency from genotypic frequencies, we add the frequency of the homozygote for each allele to half the frequency of the heterozygote
  • 12.
    DERIVING GENOTYPE FREQUENCYEQUATION FROM ALLELE FREQUENCY Allele Frequency p + q = 1 Since there are two alleles, one from father and one from mother, that are transmitted to the offspring, therefore: (p+q)(p+q) = 1 or (p+q)2 = p2 + 2pq + q2 = 1
  • 13.
    ALLELE AND GENOTYPEVARIABLES a) p - represents dominant allele b) q -represents recessive allele c) p2 -represents homozygous dominant genotype d) 2pq - represents heterozygous carrier genotype e) q2 - represents homozygous recessive genotype f) p + q = 1 - formula for allele frequency g) p2 + 2pq + q2 - formula for genotype frequency
  • 14.
    EXAMPLE Using the tablebelow, estimate the allele and genotype frequencies of the LM and LN alleles among 6129 individuals in a population.
  • 15.
    Calculating Frequencies forMultiple Alleles Let, 𝐼𝐴 be p 𝐼𝐵 be q i be r
  • 16.
    PROBLEM In one populationsampled, the following blood-type frequencies are observed: A = 0.53, B = 0.133, O = 0.26. Find the frequencies of 𝐼𝐴 , 𝐼𝐵 , and i.
  • 17.
    HARDY-WEINBERG PRINCIPLE The Hardy–Weinbergprinciple was formulated independently by G. H. Hardy and Wilhelm Weinberg in 1908. The principle is a mathematical model that evaluates the effect of reproduction on the genotypic and allelic frequencies of a population. It describes what happens to allele and genotype frequencies in an “ideal” population that is infinitely large and randomly mating, and that is not subject to any evolutionary forces such as mutation, migration, or selection.
  • 18.
    The theoretical populationdescribed by the Hardy–Weinberg model is based on the following assumptions: 1. Individuals of all genotypes have equal rates of survival and equal reproductive success—that is, there is no selection. 2. No new alleles are created or converted from one allele into another by mutation. 3. Individuals do not migrate into or out of the population. 4. The population is infinitely large, which in practical terms means that the population is large enough that sampling errors and other random effects are negligible. 5. Individuals in the population mate randomly
  • 19.
    Assumptions: If apopulation is large, randomly mating, and not affected by mutation, migration, or natural selection, then Prediction 1: the allelic frequencies of a population do not change; and Prediction 2: the genotypic frequencies stabilize (will not change) after one generation The Hardy–Weinberg law indicates that, when its assumptions are met, reproduction alone does not alter allelic or genotypic frequencies, and the allelic frequencies determine the frequencies of genotypes. This condition is known as Hardy-Weinberg equilibrium.
  • 20.
    Testing for Hardy–Weinbergin a Population The CCR5 gene encodes a protein called the C-C chemokine receptor-5, often abbreviated CCR5. Chemokines are signaling molecules associated with the immune system. The CCR5 protein is also used by strains of HIV-1 to gain entry into cells. The mutant allele of the CCR5 gene contains a 32-bp deletion, making the encoded protein shorter and nonfunctional, blocking the entry of HIV-1 into cells. The normal allele is called CCR51 (also called 1), and the mutant allele is called CCR5-∆32 (also called ∆32).
  • 21.
    Determine whether thefollowing data represent populations that are in Hardy– Weinberg equilibrium CCR5 genotypes: 1/1, 60 percent; 1/∆32, 35.1 percent; ∆32/∆32, 4.9 percent Solution: STEP 1. Calculate first the allele frequencies based on genotype frequencies (parents). STEP 2. Calculate the genotypic frequencies STEP 3. Compare the genotypic or allelic frequency of the offspring from the parents or use Chi Square Goodness of Fit to determine if the proportion of genotypic frequency in offspring is NOT significantly different from the genotypic frequency of parents. ANSWER IN EQULIBRIUM CONCLUSION: The population is under the H-W equilibrium
  • 22.
    The Hardy–Weinberg modelhas three additional important consequences: 1. Dominant traits do not necessarily increase from one generation to the next. 2. Genetic variability can be maintained in a population, since, once established in an ideal population, allele frequencies remain unchanged. 3. Under Hardy–Weinberg assumptions, knowing the frequency of just one genotype enables us to calculate the frequencies of all other genotypes.
  • 23.
    Implications of theHardy–Weinberg Principle Population cannot evolve if it meets the Hardy–Weinberg assumptions because evolution consists of change in the allelic frequencies of a population. When a population is in Hardy–Weinberg equilibrium, the genotypic frequencies are determined by the allelic frequencies. The fact that genotypes are in Hardy–Weinberg proportions does not prove that the population is free from natural selection, mutation, and migration. It means only that these forces have not acted since the last time random mating took place. A final implication is that when a population is not in Hardy Weinberg equilibrium, one of the assumptions of the law has not been met, although without further investigation it will not be apparent which assumption has been violated.
  • 24.
    Estimating Allelic Frequencieswith the Hardy–Weinberg Law We can use the Hardy-Weinberg principle in estimating allele frequencies if a particular trait/disease is recessive and we cannot easily distinguish between homozygous normal and heterozygous carriers. The frequency of a recessive trait can usually be determined by identifying and counting individuals with the homozygous recessive phenotype in a sample of the population. With this information and the Hardy–Weinberg law, we can then calculate the allele and genotype frequencies for this gene.
  • 25.
    Example: Cystic fibrosis isa life-threatening autosomal recessive disorder characterized by frequent and severe respiratory infections, incomplete digestion, and abnormal sweating. Among North American Caucasians, the incidence of the disease is approximately 1 person in 2000. a. ) Find the frequency of this mutant allele, b) the frequency of normal allele, c.) the heterozygotes in the population. Answer: a. 0.02 b. 0.98 c. 0.04
  • 26.
  • 27.
    Several Evolutionary ForcesCan Disrupt Hardy-Weinberg equilibrium. The Hardy–Weinberg law indicates that allelic frequencies do not change as a result of reproduction. The processes that bring about change in allelic frequencies include • Nonrandom mating, • Mutation, • Migration, • Genetic drift (random effects due to small population size), • and Natural selection
  • 28.
  • 29.
    Nonrandom mating cantake one of several forms. POSITIVE & NEGATIVE ASSORIVE MATING In positive assortative mating, similar phenotype are more likely to mate than dissimilar ones. This often occurs in humans: A number of studies have indicated that many people are more attracted to individuals who physically resemble them (and are therefore more likely to be genetically similar as well).
  • 30.
    Negative assortative matingoccurs when dissimilar phenotype are more likely to mate. Some plant species have inbuilt recognition systems that prevent fertilization between individuals with the same alleles at key loci.
  • 31.
    However, the formof nonrandom mating most commonly found to affect genotype frequencies in population genetics is inbreeding. Inbreeding occurs when mating individuals are more closely related than any two individuals drawn from the population at random; loosely defined, inbreeding is mating among relatives. For a given allele, inbreeding increases the proportion of homozygotes and decreases the proportion of heterozygotes in the population. A completely inbred population will theoretically consist only of homozygous genotypes.
  • 32.
    • PHYSICALLY DISABLED • MENTALLY RETARDED •DISFIGURED • IMPOTENT • BALD BY THE AGE OF 35
  • 34.
    MUTATION Before evolution cantake place, genetic variation must exist within a population; consequently, all evolution depends on processes that generate genetic variation. The enormous genetic variation present in the gene pool allows assortment and recombination to produce new combinations of genes already present in the gene pool. But assortment and recombination do not produce new alleles. Mutation alone acts to create new alleles.
  • 35.
    The Effect ofMutation on Allelic Frequencies Consider a single locus in a population of 25 diploid individuals. Each individual possesses two alleles at the locus under consideration, so the gene pool of the population consists of 50 allele copies. Let’s assume that there are two different alleles, designated A and a, with frequencies p and q, respectively. If there are 45 copies of A and 5 copies of a in the population, p = 0.90 and q = 0.10. Now suppose that a mutation changes A allele into a allele. After this mutation, there are 44 copies of A and 6 copies of a , and the frequency of a has increased from 0.10 to 0.12. Mutation has changed the allelic frequencies. If copies of A continue to mutate to a , the frequency of a will increase and the frequency of A will decrease.
  • 36.
    The amount thata will change as a result of mutation depends on: (1) the rate of A -to-a mutation, and (2) the frequency of A in the population. The mutation rate is defined as the probability that a gene will be altered by a new mutation. A common value for the mutation rate is in the range of 1 in 100,000 to 1 in 1,000,000, or 10^–5 to 10^–6 per generation.
  • 37.
    We can usethe following equation to calculate the change in allele frequency after any number of generations.
  • 38.
    Therefore, after 1000generations, the frequency of A has dropped only from 0.8 to 0.792.
  • 39.
  • 40.
    Another process thatmay bring about change in a population’s allelic frequencies is the influx of genes from other populations, commonly called migration or gene flow. One of the assumptions of the Hardy–Weinberg law is that migration does not take place, but many natural populations experience migration from other populations. When individuals move from one territory to another, they carry their genes with them. The introduction of genes by recent migrants can alter allele and genotype frequencies within a population and disrupt the state of Hardy– Weinberg equilibrium.
  • 42.
    CALCULATING THE EFFECTSOF MIGRATION ON ALLELE FREQUENCIES Imagine a species in which a given locus has two alleles, A and a. There are two populations of this species, one on a mainland and one on an island. (1) the frequency of A on the mainland is represented by pm, and the frequency of A on the island is pi. (2) If there is migration from the mainland to the island, the frequency of A in the next generation on the island (pi′) is given by where m represents migrants from the mainland to the island and that migration is random with respect to genotype.
  • 43.
    EXAMPLE Yellow-feathered birds frommainland forest migrates on an isolated island filled with green-feathered birds. Let p be the allele that codes for yellow feathers. Assume that the frequency of the dominant allele of birds from the isolated island is pi = 0.4 and that the dominant allele of birds from the forest is pm = 0.6. If 10% of the population migrated to the island, what will be the frequency of the next generation yellow-feathered birds in the island? Given: pi = 0.4 pm = 0.6. m = 10% = 0.1
  • 44.
    Solution: CONCLUSION The frequency ofyellow-feathered birds in the island increased, from 0.4 to 0.42.
  • 45.
    The effect ofmigration on allelic frequencies. After migration, population II consists of two types of individuals: (1) migrants with genes from population I, and (2) the original residents with genes from population II. The allelic frequencies in population II after migration depend on the alleles of migrants and original population. The amount of frequency change of allele in population II is directly proportional to the amount of migration. The magnitude of change is also affected by the differences in allelic frequencies of two population.
  • 46.
    Migration has twomajor effects. First, migration adds genetic variation to populations. Different alleles may arise in different populations owing to rare mutational events, and these alleles can be spread to new populations by migration, increasing the genetic variation within the recipient population Second, it causes the gene pools of different populations to become more similar.
  • 47.
  • 48.
    GENETIC DRIFT It isa process by which significant random fluctuations in allele frequencies are caused by chance alone due to small population. When the population size is small, a limited number of gametes unite to produce the individuals of the next generation, and chance influences which alleles are present in this limited sample. In this way, the error due to chance may lead to genetic drift A population’s susceptibility to random genetic drift depends on its size. In large populations, the effect of genetic drift is minimal, whereas in small ones, it may be the primary evolutionary force. Geneticists gauge the effect of population size by monitoring the frequency of heterozygotes over time.
  • 49.
    EFFECT OF POPULATIONSIZE In a very large population—essentially infinite in size—the frequencies of p and q will be constant and the frequency of the heterozygotes that carry these two alleles will be 2pq. In a small population of finite size N, the allele frequencies will change randomly as a result of genetic drift. Because of these changes, the frequency of heterozygotes, often called the heterozygosity, will also change. To express the magnitude of this change over one generation, let’s define the current frequency of heterozygotes as H and the frequency of heterozygotes in the next generation as H’. Then the mathematical relationship between H and H’ is This equation tells us that in one generation, random genetic drift causes the heterozygosity to decline by a factor of 1/2N .
  • 50.
    In a totalof t generations, we would expect the heterozygosity to decline to a level given by the equation: This equation enables us to see the cumulative effect of random genetic drift over many generations. In each generation, the heterozygosity is expected to decline by a factor of 1/2N ; over many generations, the heterozygosity will eventually be reduced to 0, at which point all genetic variability in the population will be lost. At this point the population will possess only one allele of the gene, and either p 1 and q 0, or p 0 and q 1. Thus, through random changes in allele frequencies, drift steadily erodes the genetic variability of a population, ultimately leading to the fixation and loss of alleles
  • 51.
    Drift ultimately leadsto the fixation of one allele at a locus and the loss of all other alleles; the probability that an allele will ultimately be fixed is equal to its current frequency in the population.
  • 52.
    EXAMPLE Assume that theaverage population size of a tribe on an island is 20 when the colony was founded. Furthermore, also assume that the heterozygous has a frequency of 0.20 during its foundation. Let’s suppose that 10 generations have elapsed until today. What is the frequency of heterozygous in the population? Given H = 0.20 N = 20 t = 10 Solution
  • 53.
    Solution Conclusion Genetic drift causedthe reduction in the genetic variability of the population.
  • 54.
    CAUSES OF GENETICDRIFT BOTTLENECK EFFECT Develops when a population undergoes a drastic reduction in size. The original population has large variation. A bottleneck even occurs resulting in reduced variation.
  • 55.
    FOUNDER EFFECT Result fromthe establishment of a population by a small number of individuals. A population can increase and become quite large, the genes carried by all its members are derived from the few genes originally present in the founders (assuming no migration or mutation). Chance events affecting which genes were present in the founders will have an important influence on the makeup of the entire population.
  • 56.
    The Effects ofGenetic Drift Genetic drift has several important effects on the genetic composition of a population. First, it produces change in allelic frequencies within a population. Second, genetic variation is reduced. Third, different population diverge genetically with time. Because drift is random, the frequencies in different populations do not change in the same way, and so populations gradually acquire genetic differences
  • 58.
    WHAT IS NATURALSELECTION? Differential reproduction of genotypes. Individuals with adaptive traits produce a greater number of offspring than that produced by others in the population. Better traits are inherited and appear with greater frequency. The effect of natural selection on the gene pool of a population depends on the fitness values of the genotypes in the population
  • 59.
    FITNESS is definedas the relative reproductive success of a genotype. Fitness ranges from 0 to 1. Represented by “ W.” We can calculate the Fitness of a genotype by finding the mean number of the offspring of the parents and divide it by the mean number of the offspring produced by the most prolific genotype. W = 𝑀𝑜𝑓𝑓𝑠𝑝𝑟𝑖𝑛𝑔 𝑀𝑝𝑟𝑜𝑙𝑖𝑓𝑖𝑐𝑔𝑒𝑛𝑜𝑡𝑦𝑝𝑒
  • 60.
    NATURAL SELECTION PROBLEM Ina dark forest, there are two types of moth; dark-colored moths and light colored moths. Assume that the A is a dominant allele that codes for dark colors while a is a recessive allele that codes for light color in moths. If AA produced 15 offspring, Aa produced 10 offspring, and aa produced 4 offspring, Calculate the fitness of each genotype in this particular environment. a.) Which genotype is the most fit or likely to be produced in greater frequency? b.) What genotype is the least fit or likely to be eradicated?
  • 61.
    SELECTION COEFFICIENT (s)- relative intensity of selection AGAINST a genotype. - it is equal to 1-W PROBLEM: Using the given from the previous problem, calculate the selection coefficient of each genotype a.) Which genotype is likely to be selected against? b.) Which genotype is likely to be selected for?
  • 62.
    The Wallace–Darwin conceptof natural selection can be summarized as follows: 1. Individuals of a species exhibit variations in phenotype—for example, differences in size, agility, coloration, defenses against enemies, ability to obtain food, courtship behaviors, and flowering times. 2. Many of these variations, even small and seemingly insignificant ones, are heritable and are passed on to offspring. 3. Organisms tend to reproduce in an exponential fashion. More offspring are produced than can survive. This causes members of a species to engage in a struggle for survival, competing with other members of the community for scarce resources. Offspring also must avoid predators, and in sexually reproducing species, adults must compete for mates. 4. In the struggle for survival, individuals with particular phenotypes will be more successful than others, allowing the former to survive and reproduce at higher rates
  • 64.
    TYPES OF SELECTIONON THE BASIS OF GENOTYPE The results of selection depend on the relative fitnesses of the genotypes. DIRECTIONAL SELECTION If one genotype confers advantage against another genotype.
  • 65.
    Eventually, directional selectionleads to fixation of the favored allele and elimination of the other allele, as long as no other evolutionary forces act on the population.
  • 66.
    OVERDOMINANCE Also known asheterozygote advantage. Heterozygotes has higher fitness than the fitness of two homozygotes. Both alleles are favored and neither allele is eliminated in the population. The allelic frequencies change with overdominant selection until a stable equilibrium is reached, at which point there is no further change.
  • 67.
    UNDERDOMINANCE The heterozygote haslower fitness than both homozygotes Underdominance leads to an unstable equilibrium; here, allelic frequencies will not change as long as they are at equilibrium but, if they are disturbed from the equilibrium point by some other evolutionary force, they will move away from equilibrium until one allele eventually becomes fixed.
  • 68.
    TYPES OF SELECTIONON THE BASIS OF PHENOTYPE Directional selection occurs when conditions favor individuals exhibiting one extreme of a phenotypic range, thereby shifting a population’s frequency curve for the phenotypic character in one direction or the other. Stabilizing selection acts against both extreme phenotypes and favors intermediate variants. Disruptive selection occurs when conditions favor individuals at both extremes of a phenotypic range over individuals with intermediate phenotypes.
  • 71.
    DIFFERENCES GENOTYPE PHENOTYPE DIRECTIONAL Favors oneallele/genotype over the other DIRECTIONAL Favors one phenotype at an extreme range over the other. UNDERDOMINANCE The heterozygote has lower fitness than both homozygotes. STABILIZING Favor individuals at both extremes of a phenotypic range over individuals with intermediate phenotype OVERDOMINANCE Heterozygotes has higher fitness than homozygotes. Both alleles are favored. DISRUPTIVE Favors intermediate phenotypes
  • 72.
  • 73.
  • 75.
    DEFINITION OF EVOLUTION Evolution,in the biological sense, refers only to a specific type of change: genetic change taking place in a group of organisms. Biological evolution includes genetic change only Many nongenetic changes take place in living organisms, such as the development of a complex, intelligent person from a single-celled zygote. Although remarkable, this change isn’t evolution because it does not include genetic changes. Biological evolution takes place in groups of organisms. An individual organism does not evolve; what evolves is the gene pool common to a group of organisms
  • 76.
    PROCESS OF EVOLUTION Geneticvariation arises. Genetic variation has its origin in the processes of mutation, which produces new alleles, and recombination, which shuffles alleles into new combinations. Both of these processes are random and produce genetic variation continually, regardless of evolution’s requirement for it. Change in the frequencies of genetic variants. The various evolutionary forces discussed previously cause some alleles in the gene pool to increase in frequency and other alleles to decrease in frequency. This shift in the composition of the gene pool common to a group of organisms constitutes evolutionary change
  • 77.
    TYPES OF EVOLUTION Anagenesisrefers to evolution taking place in a single lineage (a group of organisms connected by ancestry) over time. Cladogenesis, the splitting of one lineage into two. When a lineage splits, the two branches no longer have a common gene pool and evolve independently of each other. New species arise through cladogenesis.
  • 83.
    WHAT IS A“SPECIES?” The term species literally means “kind” or “appearance”; species are different kinds or types of living organisms. The concept of a species has two primary uses in biology. TAXONOMIC CONCEPT Species is a particular type of organism to which a unique name has been given. species refers to a distinct type of organism that biologists classify and name using a specific naming system (binomial nomenclature, where each species has a unique Latinized name). This concept is primarily concerned with the classification and identification of organisms based on their physical characteristics, genetic makeup, and other observable traits. EVOLUTIONARY CONCEPT Species is in an evolutionary context: a species is considered an evolutionarily independent group of organisms. This means that members of a species are more closely related to each other than they are to individuals of other species. They also share a common evolutionary history and are capable of interbreeding to produce fertile offspring under natural conditions.
  • 84.
    The Biological SpeciesConcept Widely used definition and developed by evolutionary biologist Ernst Mayer He defined species as group of organisms whose members are capable of interbreeding with one another but are reproductively isolated from the members of other species. In other words, members of the same species have the biological potential to exchange genes, and members of different species cannot exchange genes. Because different species do not exchange genes, each species evolves independently. Problems Associated with the concept It is often difficult to determine whether living species are biologically capable of exchanging genes. Exceptions: Bacteria Hybrid (i.e. horse and donkey)
  • 85.
    Morphospecies or morphologicalspecies concept defines a species entirely on phenotypic (morphological) similarities and differences. Distinguishes a species by body shape and other structural features. The morphological species concept can be applied to asexual and sexual organisms, and it can be useful even without information on the extent of gene flow. Phylogenetic species concept defines a species as the smallest recognizable group that has a unique evolutionary history.
  • 86.
    SPECIATION SPECIATION – aprocess by which new species arise. Speciation comes about through the evolution of reproductive isolating mechanisms—mechanisms that prevent the exchange of genes between groups of organisms. TYPES OF SPECIATION 1. ALLOPATRIC SPECIATION 2. PARAPATRIC SPECIATION 3. SYMPATRIC SPECIATION
  • 87.
    ALLOPATRIC SPECIATION (fromthe Greek allos, other, and Latin patria, homeland) Happens when members of a species or a population become geographically separated from the other members. This form of speciation can occur by the geographic subdivision of large populations via geological processes. After separation, the geographical barrier prevents gene flow between them and they evolve independently. It may eventually lead to prezygotic and postzygotic reproductive isolation.
  • 88.
    Ammospermophilus harrisii LOCATION: SouthRim of Grand Canyon Ammospermophilus leucurus LOCATION: North Rim of Grand Canyon
  • 89.
    PARAPATRIC SPECIATION (fromthe Greek para, beside) Occurs when geographic separation is not complete and members of species are partially separated.
  • 90.
    SYMPATRIC SPECIATION (fromthe Greek sym, together) Occurs when a new species arises in the same geographic area as the species from which it was derived. Sympatric speciation can occur if gene flow is reduced by such factors as polyploidy, sexual selection, and habitat differentiation.
  • 91.
    POLYPLOID A species mayoriginate from an accident during cell division that results in extra sets of chromosomes, a condition called polyploidy
  • 92.
    SEXUAL SELECTION Sexual choiceof a female result in reproductive isolation. The mate choice of females based on male breeding coloration can act as a reproductive barrier that keeps the gene pools of these two species separate. Since the species can still interbreed when this prezygotic barrier is breached in the laboratory, the genetic divergence between the species is likely to be small. This suggests that speciation in nature has occurred relatively recently.
  • 93.
    HABITAT DIFFERENTIATION North Americanapple maggot fly (Rhagoletis pomonella ). This fly originally fed on native hawthorn trees. However, the introduction of apple trees approximately 200 years ago provided a new local environment for this species. The apple-feeding populations of this species develop more rapidly because apples mature more quickly than hawthorne fruit. The result is partial temporal isolation in reproduction.
  • 94.
    REPRODUCTIVE ISOLATING MECHANISMS Thekey to species differences under the biological species concept is reproductive isolation—biological characteristics that prevent genes from being exchanged between different species. Any biological factor or mechanism that prevents gene exchange is termed a reproductive isolating mechanism. It is the key to the genetic definition of species.
  • 95.
    Prezygotic reproductive isolatingmechanisms, which prevent gametes from two different species from fusing and forming a hybrid zygote. Postzygotic reproductive isolating mechanisms, in which gametes of two species fuse and form a zygote, but there is no gene flow between the two species, either because the resulting hybrids are inviable or sterile or because reproduction breaks down in subsequent generation
  • 97.
    MOLECULAR EVOLUTION Refers topatterns and processes associated with evolutionary change at the molecular level. Evolutionary changes at the DNA level can be objectively compared among different species to establish evolutionary relationships. Furthermore, this approach can be used to compare any two existing organisms, no matter how greatly they differ in their morphological traits. For example, we can compare DNA sequences between humans and bacteria, or between plants and fruit flies. Such comparisons would be very difficult at a morphological level.
  • 98.
    PHYLOGENY VS PHYLOGENETIC TREE PHYLOGENY- evolutionary relationships among group of organisms PHYLOGENETIC TREE– a “tree” that illustrates the history and relationship of a group of organisms through a branching diagram.
  • 99.
    Speciation is associatedwith genetic divergence of populations. Therefore, we should be able to use genetic differences and similarities among present-day species to reconstruct their evolutionary histories. Homology – similarities among various species that occur because the species are derived from a common ancestor. Homologous – attributes that are result of homology.
  • 102.
    One method, knownas a cladistic approach, reconstruct a phylogenetic tree, also called a cladogram, by considering the various possible pathways of evolution and then choosing the most plausible tree. Cladistics is a commonly used method for the construction of phylogenetic trees. A cladistic approach compares traits, also called characters, that are either shared or not shared by different species. These can be morphological traits, such as the shapes of birds’ beaks, or molecular traits, such as sequences of homologous genes. Such characters may come in different versions called character states. Those that are shared with a distant ancestor are called ancestral characters (also called primitive characters). Such characters are viewed as being older— ones that arose earlier in evolution. In contrast, a shared derived character, or synapomorphy, is a trait that is shared by a group of organisms but not by a distant common ancestor.
  • 103.
    CONSTRUCTING CLADOGRAM BASEDON DNA SEQUENCES 1. DNA sequences representing a gene or genome of interest from a number of different species must be acquired. 2. The sequences must be aligned with each other so that the related parts of each sequence can be compared to see if they are the same or different. More closely related species have fewer DNA differences because there has been less time for accumulation of DNA differences since they last shared a common ancestor. 3. These DNA differences are used to construct a phylogenetic tree, often beginning with the most closely related sequences and working backwards through sequences that are less closely related
  • 104.
    USING THE FOLLOWINGSEQUENCIES, CONSTRUCT A PHYLOGENETIC DIAGRAM.
  • 105.
    Species A AT C G T G G T A C T G Species B C C G G A G A A C T A G Species C A A C G T G C T A C T G Species D A T G G T G A A A G T G Species E C C G G A A A A C T T G Species F T G G C C C T G T A T C A B C D E F A - 9 2 4 9 11 B - 9 6 2 11 C - 5 9 11 D - 6 10 E - 10 F - DISSIMILARITY MATRIX TABLE STEP 1: Create a dissimilarity matrix. Compare the nucleotide sequence between two species and count their dissimilar nucleotides. Find the least dissimilar sequences. CONSTRUCT THE INITIAL CLADOGRAM
  • 106.
    A - CB D E F A - C - 9 4.5 9 11 B - 6 2 11 D - 6 10 E - 10 F - DISSIMILARITY TABLE WITH A-C A B C D E F A - 9 2 4 9 11 B - 9 6 2 11 C - 5 9 11 D - 6 10 E - 10 F - STEP 2: Combine A & C and create another dissimilarity matrix.
  • 107.
    A - CB - E D F A - C - 9 4.5 11 B - E - 6 10.5 D - 10 F - A - C B D E F A - C - 9 4.5 9 11 B - 6 2 11 D - 6 10 E - 10 F - DISSIMILARITY TABLE WITH A-C & B-E STEP 3: Combine B & E and create the third dissimilarity matrix. Find the least dissimilar sequence and add to the cladogram.
  • 108.
    A – C- D B - E F A – C - D - 7.5 10.5 B - E - 10.5 F - A - C B - E D F A - C - 9 4.5 11 B - E - 6 10.5 D - 10 F - STEP 4. Combine D with A-C and create the last matrix. Construct the final cladogram,.
  • 110.
    RATE OF MOLECULAREVOLUTION Refers to the speed at which the sequences of molecules, such as DNA or proteins, change over time within a population or lineage of organisms. This rate is typically measured as the number of substitutions or changes that accumulate in the sequences of these molecules per unit of time.
  • 111.
    RATES OF NONSYNONYMOUSVS SYNONYMOUS SUBSTITUTION Nonsynonymous substitution - Nucleotide changes in a gene that alter the amino acid sequence of a protein. Synonymous substitution - Nucleotide changes, particularly those at the third position of a codon, that DO NOT ALTER the amino acid sequence of a protein.
  • 112.
    The synonymous rateof change is considerably higher than the nonsynonymous rate because synonymous mutations are tolerated by natural selection. Nonsynonymous mutations, on the other hand, alter the amino acid sequence of the protein and, in many cases, are detrimental to the fitness of the organism; so most of these mutations are eliminated by natural selection.
  • 113.
    Substitution Rates forDifferent Parts of a Gene Different parts of a gene also evolve at different rates. The highest rates of substitution occur in those regions of the gene that have the least effect on function, such as the third position of a codon, flanking regions, and introns. The 5 ′ and 3 ′ flanking regions of genes are not transcribed into RNA; therefore, substitutions in these regions do not alter the amino acid sequence of the protein. Substitution rates are somewhat lower in the 5’ and 3’ untranslated regions of a gene. The 5 untranslated region contains the ribosome-binding site, which is essential for translation, and the 3 untranslated region contains sequences that may function in regulating mRNA stability and translation; so substitutions in these regions may have deleterious effects on organismal fitness and may not be tolerated.
  • 114.
    The lowest ratesof substitution are seen in nonsynonymous changes in the coding region, because these substitutions always alter the amino acid sequence of the protein and are often deleterious. The highest rates of substitution are in pseudogenes, which are duplicated nonfunctional copies of genes that have acquired mutations. Such genes no longer produce a functional product; so mutations in pseudogenes have no effect on the fitness of the organism
  • 115.
    Phylogenetic trees tellus about the evolutionary relationships among DNA or protein sequences. If we can link the branch points of a tree to specific times in the evolutionary history of the sequences, then we can determine the rate at which the sequences have been evolving.
  • 116.
    SOLVE: Using thefollowing cladogram and table, calculate the rate of amino acid substitution in the sequence of alpha-globin protein (which contains 141 amino acids).
  • 117.
    STEP 1: DETERMINETHE AVERAGE NUMBER OF AMINO ACID CHANGES (AMINO ACID SUBSTITUTION) THAT HAVE OCCURRED SINCE ANY TWO OF THE LINEAGE SPLIT FROM COMMON ANCESTOR. HUMAN – MOUSE: 6/141 = 0.04 INTERPRETATION: 0.04 is the average number of substitution per amino acid site.
  • 118.
    STEP 2: OBTAINTHE AVERAGE NUMBER OF AMINO ACID SUBSTITUTION USING POISSON CORRECTION FORMULA, -In (1-v) = -In (1-v) = -In (1-0.04) = 0.04
  • 119.
    STEP 3: DETERMINETHE RATE OF M.E BY DIVIDING THE NUMBER OF CHANGES OF AMINO ACID PER SITE TO THE TOTAL TIME THAT THE TWO LINEAGE HAS SINCE DIVERGED. HUMAN – MOUSE: TOTAL TIME: 2 (80 MY) = 160 MY RATE OF M.E: 0.04/160 MY= 0.25 x 10-3 amino acid changes per site/year INTERPRETATION: This means that on average, at each amino acid position (site) in the alpha-globin protein, less than 1 mutation occur per year throughout 80 million years. It suggests that over very long periods, the gene accumulates very few amino acid changes per site, indicating a slow rate of evolution for this particular gene.
  • 120.
    MOLECULAR CLOCKS In manycases, we would like to estimate not only which members of a set of species are most closely related, but also when their common ancestors lived. It uses the rate of change in amino acid or nucleotide sequences as a way to estimate the time of divergence from common ancestor. Calculations based on the assumption of a molecular clock can be very helpful in estimating when, in historical time, lineages diverged from a common ancestor.
  • 121.
    EXAMPLE Human and horsea-globin polypeptides differ in 18 of 141 amino acid positions. On average, how many amino acid substitutions have occurred per site in this polypeptide since the human and horse lineages diverged from a common ancestor? If the evolutionary rate for a-globin among mammals has been 0.74 substitutions per site every billion years, how much time has elapsed since the common ancestor of humans and horses existed? GIVEN: 18 of 141 amino acid position 0.74 substitution per site every billion years SOLUTION: STEP 1: CALCULATE THE AVERAGE NUMBER OF AMINO ACID SUBSTITUTION 18/141 = 0.128 -In (1 – 0.128) = 0.136 amino acid substitution per site.
  • 122.
    STEP 2: CALCULATETHE TOTAL TIME THAT HAS ELAPSED SINCE THE COMMON ANCESTOR OF HUMANS AND HORSES BY DIVIDING THE AMINO ACID PER SITE TO THE ESTIMATED EVOLUTIONARY RATE FOR MAMMALS. 0.136/0.74 = 0.1837 = 0.1837(1000000000) = 183,700,000 or 184 million years STEP 3: TO GET THE SPAN OF TIME, DIVIDE THE TOTAL TIME TO OBTAIN THE TIME SINCE THEIR COMMON ANCESTOR EXISTED. 184 my/2 = 92 million years
  • 123.
    Homologous Genes AreDerived from a Common Ancestral Gene PARALOG GENES VS ORTHOLOG GENES PARALOG GENES – two or more homologous genes can be found within a single species ORTHOLOG GENES – two homologous genes are found in different species.
  • 124.
    The sequences ofthe orthologs are more similar to each other than they are to the paralogs. For example, the sequences of human and horse β globins show 25 differences, whereas the human β globin and human α globins show 84 differences. They indicate that the gene duplications that created the α-globin and β-globin genes occurred long before the evolutionary divergence that produced different species of mammals. For this reason, there was a greater amount of time for the α- and β-globin genes to accumulate changes compared to the amount of time that has elapsed since the evolutionary divergence of mammalian species.