4c - Mutation and Neutral Theory

Lecture 3: Module 4 - Population Genetics and Core Theory

Topics Covered

  • Mutation and Neutral Theory

  • Linkage Disequilibrium


Mutation and Neutral Theory

Key Contributor

  • Motoo Kimura

    • A key theoretician in molecular evolution.

    • Focused on the origins and maintenance of micro-genetic variation.

Neutral Theory

  • Proposes that most molecular variation is neutral, meaning it does not influence an organism's fitness negatively or positively.

  • New mutations fall into two categories:

    • Disadvantageous mutations: Quickly removed by natural selection.

    • Favorable mutations: Very rare and contribute to evolutionary change.

Models of Interaction

  • Kimura proposed models to describe how mutation and genetic drift interact:

    • Mutation: The ultimate source of new genetic variation.

    • Genetic Drift: Tends to reduce genetic variation, primarily in small populations.

Key Equations and Concepts

  • Time to Fixation: The average time for a neutral mutation to become fixed in a population is given by:
    4N<em>e4N<em>e generations, where $Ne$ is the effective population size.

  • Mutation Rate and Fixation: The rate of neutral mutations to become fixed is equivalent to the mutation rate itself.

  • Average Homozygosity at Equilibrium: H=rac14Neimesextmutationrate+1H = rac{1}{4N_e imes ext{mutation rate}} + 1

    • Higher effective population size ($N_e$) results in higher homozygosity.

    • As $N_e$ decreases, homozygosity decreases.

Implications for Population Genetics

  • Large populations with high mutation rates tend to have high levels of homozygosity, as observed with STR markers.

  • In contrast, smaller populations with lower mutation rates have reduced homozygosity due to a lack of genetic variation.

  • Model operates under the assumption of no selection, migration, or inbreeding.

Visual Models

  • Allele frequency over time is influenced by

    • Mutation introduction (allele spikes represent new mutations).

    • Fixation time depending on mutation rate.

    • Comparison between populations with different sizes or mutation rates.

Genomic Level Insights

  • Neutral theory posits that most mutations are neutral and do not influence fitness.

  • Selection acts to remove deleterious mutations.

  • Evidence supports that proteins with high rates of deleterious mutations have lower effective evolutionary rates due to selection pressures.

  • Rates of molecular evolution can differ from morphological evolution across taxa (e.g., frogs vs. mammals).


Linkage Disequilibrium (LD)

Definition

  • LD refers to a non-random association of alleles at different loci.

  • Correlation exists between genotypes at different markers, meaning that the allele received from one marker is influenced by alleles at another marker.

Causes of Linkage Disequilibrium

  • Typically caused by loci in close physical proximity on a chromosome, leading to them being inherited together.

  • Generation of LD can arise from:

    • Natural selection.

    • Recombination processes during meiosis.

    • Population structure and mating factors.

    • Statistically by chance in smaller populations due to limited recombination opportunities.

Importance and Applications of LD

  • LD is a powerful tool for studying genetic structures and effects of evolution.

  • Can be observed between unlinked loci if specific allele frequencies are in equilibrium.

  • Crucially influences forensic DNA analysis as independent markers are necessary for valid statistical calculations of likelihood ratios.

  • When using YSTRs, alleles tend to be inherited together, complicating separate frequency calculations.

Haplotype Concept

  • Haplotype represents a combination of alleles at multiple loci inherited as a single unit.

  • Haplotype frequencies inform about genetic diversity and population structure.

Linkage Disequilibrium Block Size

  • Size of LD blocks varies:

    • Generally around a few thousand bases.

    • Larger blocks observed on larger chromosomes or specific genomic regions due to low recombination rates.

Long-Term Patterns of LD

  • After significant recombination events, chromosomes become mosaic, leading to varied haplotypes in populations over generations.

  • Understanding LD can inform about ancient mutations and shared genetic heritage.

Statistical Measurement of LD

  • LD can be quantified and represented in various forms:

    • D, D prime, R squared, Delta squared.

  • Observed size of LD blocks differs across the genome based on chromosome size and recombination rates.