Molecular Evolution

Contents:

Molecular Evolution. 1

Neutral Theory of Molecular Evolution. 1

Hardy Weinberg Law.. 1

Selection. 2

Negative or Purifying selection. 2

Positive selection (Adaptive evolution) 2

Overdominance or balancing selection. 2

Genetic Drift 2

Neutral Theory of Evolution. 2

Modifications. 3

Molecular Clock. 3

Synthetic theory of evolution or Neo-Darwinism.. 3

 

Notes from Lectures “Molecular Evolution”, 2001 University College London.

 

Darwin

Forces of evolution?

Neutral Theory of Molecular Evolution

The Beanbag

Pool = an aggregated stake to which each player has contributed.

In the simplest case, the parents contribute equally to the pool

Controversal

Hardy Weinberg Law

for large diploid populations: Gene Pool Models

Two alleles: p q, equally distributed on parent gametes: p or q

Random mating = Withdrawel from beanbag

The HW law relates the frequencies of genes to those of genotypes in a randomly mating population with NO selection, mutation or migration:

(p+q)2 = p2 + pq + q2

Genotype

p p

p q

q q

Frequency

p2

2 pq

q2

 

If the partents mate at random, the zygotes are in HW proportions.

With differential mortality or smaller populations, the population will no longer be in HW.

Selection

Departures from HW proportions are often taken as evidence for selection.

With more than two alleles, the binomial expansion becomes multinomial.

Departures:

Seqall Wright;s effective population number: Ne

Departures, caused by uneven sex ratio or unequal fertility so that alleles do not have an equal probability of coming from any parent, are adjusted in the equations by using Ne – the size of an ideal population that would produce the same random drift or consanguinity as the actual population

Negative or Purifying selection

Genotype

p p

p q

q q

Relative Fitness

1

1-s

1-2s

q is deleterious, and gets negatively selected for. p will reach fixation.

selective constraint: most mutations are deleterious

Positive selection (Adaptive evolution)

Genotype

p p

p q

q q

Relative Fitness

1

1+s

1+2s

q has selective advantage, and gets positively selected for. q will spread into the population and will reach fixation.

Overdominance or balancing selection

 

Genotype

p p

p q

q q

Relative Fitness

1-s1

1

1-s2

The heterozygote pq has a higher fitness than either pure type pp or qq. The system has a stable equilibrium at

p = s2 / (s1 + s2)

Genetic Drift

When gametes of the parent generation are drawn and united, chance alone can change allele frequency.

The probability that k alleles are p in the next generation is given by the bionomical probability:

P(k) = (2 N choose k) pk (1-p)2N-k

Genetic drift is more important in small populations then in large ones.

 

.

 

Neutral Theory of Evolution

Motoo Kimura 1968, Kinag and Jukes 1969

The driving force of molecular evolution is random fixations of neutral mutations rather than natural selection fixing advantageous mutations.

As opposed to (1930’s): Natural selection is the driving force of evolution and random genetic drift was unimportant. Most populations are homogeneous with little variation.

The Neutral Theory does not claim that all mutations are neutral.

Modifications

Strictly Neutral Theory

lethal or completely neutral mutations only.

often been rejected.

Slightly Deleterious Mutation Hypothesis

allows for mutations whose effects are slightly deleterious

changed to:

Nearly Neutral Theory

allows for both slightly deleterious and slightly advantageous mutations

involves all parameters such as population size and selective pressure and is thus almost impossible to test or refute.

 

Molecular Clock

The hypothesis of molecular clock asserts that the rate of DNA or protein sequence evolution is constant over time or among evolutionary lineages.

e.g. hemoglobin, cytochrome c in mammals

Emile Zuckerkandl and Linus Pauling 1965

č     reconstruction of phylogenetic trees

č     controversial:

Synthetic theory of evolution or Neo-Darwinism

The rate of evolution is determined by environmental changes and natural selection.

(believed in at that time…)

The clock is violated for most species except very closely related ones.

today: The importance of random genetic changes is generally accepted although the relative roles of mutation and selection are still being devated.