108 CHAPTER 5
who leaves two offspring to the next generation (a fitness of 2). That individual
enjoys a huge fitness advantage if all others in the population have a fitness of 1,
but it is at a selective disadvantage if all others have a fitness of 4.
We therefore often work with relative fitness, which is the absolute fitness
divided by a fitness reference that we agree on. The choice of the fitness reference
is a matter of convenience, and changes depending on the situation under consid-
eration. Say there are two alleles, A 1 and A 2 , at a locus. We use the symbol W 11 to
represent the absolute fitness of A 1 A 1 homozygotes, W 12 for that of A 1 A 2 heterozy-
gotes, and W 22 for that of A 2 A 2 homozygotes. We write the relative fitnesses of the
three genotypes the same way, but using a lowercase w (for example, the relative
fitness of A 1 A 2 is w 12 ). If we agree to use the A 1 A 1 homozygote as our fitness refer-
ence, then the relative fitness are:
w 11 = W 11 /W 11 = 1
w 12 = W 12 /W 11 (5.2)
w 22 = W 22 /W 11
Relative fitnesses play a critical role in determining the speed and outcome of evo-
lution by natural selection, as you will now see.
Positive Selection:
The Spread of Beneficial Mutations
Whenever one allele has higher fitness than another, natural selection will favor
its spread through the population. This is called positive selection. A hypotheti-
cal example is shown in FIGURE 5.6. A population of mice has two alleles that
affect the coat color. Allele A 2 causes darker fur than allele A 1 , and it is initially
present at a frequency of 0.5. Hawks prey on the mice and kill half of the light-
colored A 1 A 1 and one-fourth of the intermediate-colored A 1 A 2 individuals. The
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A 1 A 1 A 1 A 2 A 2 A 2
Frequency
A 1 A 1 A 1 A 2 A 2 A 2
Frequency
A 1 A 1 A 1 A 2 A 2 A 2
Frequency
Selection Reproduction
Juveniles
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
Surviving adults
X
X
X
X
Offspring
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
A 2 A 2
A 1 A 2 A 2 A 2
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
A 1 A 1 A 1 A 2 A 1 A 2 A 2 A 2
A 1 A 2 A 2 A 2
FIGURE 5.6 Positive selection causes the allele with higher fit-
ness to increase in frequency. In this population of mice, allele A 2
is at a frequency of p = 0.5 at the start of the generation. Preda-
tion kills half of the A 1 A 1 homozygotes and one-fourth of the
A 1 A 2 heterozygotes, but all of the A 2 A 2 homozygotes survive. The
frequency of A 2 increases to p = 0.58 in the surviving adults. The
frequency of A 2 is also p = 0.58 at the start of the next generation,
and random mating has restored the genotype frequencies to
Hardy-Weinberg proportions.
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