Variation Within Populations
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Ensure you understand the basic definitions of genotype, phenotype, and allele from introductory genetics, and recall that populations are the fundamental units of evolutionary change.
Why this matters
Without heritable variation, natural selection has no raw material to act upon, rendering evolution impossible.
Variation within populations is the engine of adaptation. While the previous lecture established the historical evidence for descent with modification, this lecture focuses on the immediate biological reality: individuals within a single population are not clones. They differ in morphology, physiology, and behaviour. Crucially, a portion of this variation is heritable, meaning it is passed from parents to offspring via genetic mechanisms. This heritable diversity ensures that when environmental pressures shift, some individuals possess traits that confer higher fitness, allowing the population to adapt over generations. Understanding the sources and structure of this variation is essential before we can discuss how selection filters it.
The Raw Material of Evolution
Imagine a population of beetles living in a forest. If every single beetle were identical in colour, size, and metabolic rate, the population would be static. If the environment changed, for instance, if the forest floor became covered in dark moss, there would be no beetles with a dark colouration to hide from predators. The entire population would likely be eaten, leading to extinction. However, in reality, beetles vary. Some are slightly darker, some are slightly larger, and some have slightly different wing shapes. This variation is not random noise; it is a structured diversity generated by genetic processes. The key distinction to grasp here is between phenotypic variation and genotypic variation. Phenotypic variation refers to the observable differences in traits, such as the actual colour of the beetle's shell. Genotypic variation refers to the differences in the DNA sequences that code for those traits. While all phenotypic variation is influenced by the environment to some degree, only the component of variation that is genetically based is heritable. For example, a beetle that is darker because it has been exposed to more sunlight is not necessarily darker because of its genes. If that beetle reproduces, its offspring will not inherit the "sun-tanned" colour; they will inherit the genetic potential for colour. Therefore, evolution by natural selection requires that the variation in fitness-relevant traits has a genetic basis. This genetic variation arises primarily through mutation, which creates new alleles, and through sexual reproduction, which shuffles existing alleles into new combinations. This shuffling ensures that even in a stable environment, new phenotypes appear in every generation, providing the continuous supply of raw material that selection can act upon.
Sources of Genetic Variation
Genetic variation within a population is generated and maintained by several distinct mechanisms. The ultimate source of all new genetic variation is mutation. Mutations are changes in the DNA sequence. They can occur as point mutations, where a single nucleotide is changed, or as larger structural changes. While most mutations are neutral or deleterious, some are beneficial in specific environments. However, mutation rates are low: roughly \(10^{-9}\) to \(10^{-8}\) per nucleotide per generation in many eukaryotes (about \(1.2 \times 10^{-8}\) in humans), or about \(10^{-6}\) to \(10^{-5}\) per gene. Each generation therefore adds only a little new variation; most of the variation present at any moment is old variation carried forward. The primary driver of variation in sexually reproducing populations is recombination. During meiosis, homologous chromosomes exchange segments in a process called crossing over. Furthermore, the independent assortment of chromosomes during meiosis ensures that each gamete receives a unique combination of alleles. When two gametes fuse during fertilisation, the resulting zygote has a novel genetic makeup. This process, known as genetic shuffling, creates vast amounts of phenotypic variation without requiring new mutations. For instance, in humans, the number of possible chromosome sets from independent assortment alone (ignoring crossing over) is approximately \(2^{23}\) for each parent, leading to a theoretical maximum of \(4^{23}\) combinations in the offspring. This mechanism ensures that siblings are genetically distinct, providing the diversity necessary for selection to act upon.
where \(n\) is the haploid chromosome number. This exponential increase in diversity highlights why sexual reproduction is so effective at maintaining variation compared to asexual reproduction, which relies solely on mutation for new genetic combinations.
Quantifying Variation: The Variance Components
To understand how much of the observed variation is heritable, biologists use the concept of variance. The total phenotypic variance (\(V_P\)) in a population for a quantitative trait is the sum of the variance due to genetic differences (\(V_G\)) and the variance due to environmental differences (\(V_E\)). Mathematically, this is expressed as \(V_P = V_G + V_E\). This equation assumes that genetic and environmental effects are independent and additive. The genetic variance (\(V_G\)) can be further decomposed into additive variance (\(V_A\)), dominance variance (\(V_D\)), and interaction variance (\(V_I\)). Additive variance is the component that is most important for evolution by natural selection because it is the portion of genetic variance that is passed predictably from parents to offspring. Dominance variance arises from interactions between alleles at the same locus, while interaction variance arises from interactions between alleles at different loci (epistasis). The proportion of phenotypic variance that is due to additive genetic variance is known as narrow-sense heritability (\(h^2\)), defined as \(h^2 = V_A / V_P\). A high \(h^2\) indicates that the trait is strongly influenced by additive genetics and is therefore more likely to respond to selection. Conversely, a low \(h^2\) suggests that environmental factors play a larger role in determining the trait's expression.
It is crucial to note that heritability is a population-specific statistic. It does not describe the proportion of a trait that is "genetic" in an absolute sense, but rather the proportion of variation in that trait within a specific population at a specific time that is attributable to genetic differences. If the environmental variance decreases, heritability may increase, even if the genetic variance remains constant.
Maintaining Variation in the Face of Selection
A common misconception is that natural selection should eventually eliminate all variation, leaving a population of optimal, identical individuals. In reality, variation persists due to several mechanisms. First, balancing selection can maintain multiple alleles in a population. For example, heterozygote advantage occurs when individuals with two different alleles at a locus have higher fitness than homozygotes. A classic example is sickle-cell anaemia in humans, where heterozygotes have resistance to malaria, while homozygotes for the normal allele are susceptible to the disease, and homozygotes for the sickle-cell allele suffer from severe anaemia. This selective pressure maintains both alleles in the population. Second, mutation-selection balance ensures that new deleterious mutations are constantly introduced into the population, counteracting the removal of these alleles by selection. Third, spatial and temporal heterogeneity in the environment can favour different alleles in different places or times. If the environment fluctuates, selection may favour different phenotypes in different years, preventing any single allele from fixing. These mechanisms ensure that populations retain the genetic diversity necessary to adapt to future environmental changes, providing a buffer against extinction.
The concept
Natural selection
Differential survival and reproduction of heritable variation.
A frequent error is assuming that high heritability implies that a trait is unchangeable or that environmental interventions will have no effect. Heritability measures the proportion of *variance explained by genetics, not the proportion of the *trait itself. For example, height has a high heritability in well-nourished populations, but if a population experiences severe malnutrition, the environmental variance increases, and the mean height decreases significantly. Thus, even highly heritable traits are plastic and responsive to environmental change. C
Worked example
Problem. In a population of 1,000 rabbits, the total phenotypic variance for body mass is measured as \(V_P = 0.050\ \mathrm{kg^2}\). Through breeding experiments, the additive genetic variance is determined to be \(V_A = 0.030\ \mathrm{kg^2}\). Calculate the narrow-sense heritability (\(h^2\)) of body mass in this population. If the average body mass is currently \(4.0\ \mathrm{kg}\) and the selection differential (\(S\)) for larger body mass is \(0.5\ \mathrm{kg}\), predict the response to selection (\(R\)) in the next generation.
- Identify the given values: \(V_P = 0.050\ \mathrm{kg^2}\), \(V_A = 0.030\ \mathrm{kg^2}\), mean mass \(= 4.0\ \mathrm{kg}\), selection differential \(S = 0.5\ \mathrm{kg}\).
- Calculate narrow-sense heritability using the formula \(h^2 = V_A / V_P\). Substitute the values: \(h^2 = 0.030 / 0.050\).
- Perform the division: \(h^2 = 0.6\). This indicates that 60% of the phenotypic variance is due to additive genetic effects.
- Use the breeder's equation to predict the response to selection: \(R = h^2 \times S\).
- Substitute the values: \(R = 0.6 \times 0.5\ \mathrm{kg}\). Calculate the result: \(R = 0.3\ \mathrm{kg}\). This means the average body mass of the next generation is expected to increase by 0.3 kg, reaching 4.3 kg.
Units check. Heritability is a dimensionless ratio, and the selection differential is in kg, so the response is correctly in kg.
Three quick tests
- What is the primary difference between additive genetic variance and dominance variance in terms of evolutionary response?
Answer
Additive variance is passed predictably from parents to offspring and drives response to selection, while dominance variance involves interactions between alleles at the same locus and is not directly inherited in a simple additive manner. - If a population has a heritability of 0 for a trait, can natural selection still act on that trait?
Answer
No, if heritability is 0, there is no additive genetic variance, meaning the trait variation is entirely environmental. Selection may change the mean phenotype temporarily, but this change will not be inherited by the next generation. - Why does sexual reproduction generate more genetic variation than asexual reproduction?
Answer
Sexual reproduction involves recombination and independent assortment during meiosis, which shuffles existing alleles into new combinations, whereas asexual reproduction relies solely on mutation for new genetic variation.
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Every lecture and every concept in this unit, with prerequisites and threads.
Lecture notes checked line by line by the editor; every number in the worked example was recomputed.
Concepts cited: T-017 · Threads: evolution