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Evolution__3rd_Edition

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..<br />

p'<br />

0 1 0<br />

Frequency of A allele<br />

Summary<br />

CHAPTER 8 / Two-locus and Multilocus Population Genetics 219<br />

Mean population fitness ( w ) –<br />

1<br />

Frequency of B allele<br />

1 Population genetics for two or more loci is concerned<br />

with changes in the frequencies of haplotypes,<br />

which are the multilocus equivalent of alleles.<br />

2 Recombination tends, in the absence of other<br />

factors, to make the alleles of different loci appear in<br />

random (or independent) proportions in haplotypes.<br />

An allele A 1 at one locus will then be found with alleles<br />

B 1 and B 2 at another locus in the same proportions as<br />

B 1 and B 2 are found in the population as a whole. This<br />

condition is called linkage equilibrium.<br />

3 A deviation from the random combinatorial proportions<br />

of haplotypes is called linkage disequilibrium.<br />

Figure 8.10<br />

As extra gene loci are considered (extra axes in the adaptive<br />

topography) it becomes increasingly likely that what appeared<br />

to be a local maximum in fewer dimensions will turn out to be<br />

a hillside or saddle point in more dimensions. In this case, the<br />

fitness surface for the A locus at a gene frequency of zero for the B<br />

allele is the same as in Figure 8.9; but at other B gene frequencies,<br />

the local peak in the A locus fitness surface disappears. If the<br />

population started in the valley at B gene frequency = 0 and<br />

A gene frequency = p′, natural selection would initially move<br />

gene frequencies to the local peak, but they would eventually<br />

reach the global peak by continuous hill climbing.<br />

with the operation of selction, that adaptations evolve by selection within a population,<br />

and that adaptive evolution can proceed smoothly up to the highest fitness peak.<br />

Wright thought that populations are small, drift and epistatic fitnesses are important,<br />

and that adaptive evolution is liable to become stuck at a local optimum. Biologists<br />

today rarely count themselves simply as members of one school or the other, but the<br />

controversy between these two views has inspired, and continues to inspire, important<br />

evolutionary research.<br />

4 The theory of population genetics for a single locus<br />

works well for populations in linkage equilibrium.<br />

5 Linkage disequilibrium can arise because of low recombination,<br />

non-random mating, random sampling,<br />

and natural selection.<br />

6 For selection to generate linkage disequilibrium,<br />

the fitness interactions must be epistatic: the effect<br />

on fitness of a genotype (such as A 1 /A 2 ) must vary<br />

according to the genotype it is associated with at other<br />

loci.<br />

7 Pairs of alleles at different loci that cooperate in<br />

their effects on fitness are called coadapted. Selection

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