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Principles of Plant Genetics and Breeding

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46 CHAPTER 3<br />

lifeblood <strong>of</strong> plant breeding, genetic variation, would be<br />

very limited. However, during meiosis, as was previously<br />

indicated, the phenomenon <strong>of</strong> crossing over causes<br />

recombination or shuffling <strong>of</strong> linked genes to occur,<br />

thereby producing gametes that are unlike the mother<br />

cell. Genetic recombination is the most common source<br />

<strong>of</strong> variation in flowering species. Along with independent<br />

assortment <strong>of</strong> genes, these two phenomena ensure<br />

that all <strong>of</strong>fspring will contain a diverse mixture <strong>of</strong> both<br />

maternal <strong>and</strong> paternal alleles.<br />

Whereas breaking linkages is desirable for the creation<br />

<strong>of</strong> the much-needed variation, plant breeders would<br />

sometimes rather have certain linkages left intact. This is<br />

the case when several desirable genes are tightly linked.<br />

On the other h<strong>and</strong>, there are some occasions when a<br />

desirable gene is linked to an undesirable gene, in which<br />

case breeders would like to break the association. The<br />

probability <strong>of</strong> breaking a linkage depends on how close<br />

the genes are in the group or block. A tight linkage<br />

(close association) is more difficult to break than a loose<br />

linkage. An opportunity for crossover occurs whenever<br />

meiosis occurs.<br />

Chromosome mapping<br />

<strong>Plant</strong> breeders develop <strong>and</strong> use “biological maps” to<br />

guide them in their work. The two basic types <strong>of</strong> maps<br />

are the physical <strong>and</strong> genetic maps. Genetic maps are<br />

constructed based on the linkage relationship between<br />

genes. The degree <strong>of</strong> crossing over between any two<br />

genes or loci on a single chromosome is proportional to<br />

the distance between them. This correlation information<br />

is used to construct chromosome maps.<br />

Chromosome maps provide information about gene<br />

locations, gene order, <strong>and</strong> the relative position <strong>of</strong> various<br />

genes, according to genetic distances. Linkage maps<br />

may be used by plant breeders to aid the selection process.<br />

If a desired gene is closely linked with a genetic<br />

marker, the breeder may use the marker to indirectly<br />

select for the desired gene. In the example <strong>of</strong> a dihybrid<br />

cross, it is possible to calculate the genetic distance<br />

between the two genes (or markers), but one cannot tell<br />

the order <strong>of</strong> the genes (i.e., whether A comes before B<br />

or B before A). A trihybrid cross is needed for this determination,<br />

as previously stated.<br />

The distance between two genes is defined as the<br />

recombination frequency between them. The unit <strong>of</strong><br />

measure is the map unit or centimorgan (cM), which<br />

is defined as 1% <strong>of</strong> crossover. In a dihybrid cross, the<br />

percent crossover (e.g., between genes A <strong>and</strong> B) is<br />

calculated as the percentage <strong>of</strong> recombinant <strong>of</strong>fspring<br />

produced in a cross. For example, for 50 recombinants<br />

out <strong>of</strong> 400 <strong>of</strong>fspring, it is calculated as (50/400) × 100<br />

= 12.5% = 12.5 map units. If the crossover between A<br />

<strong>and</strong> C is calculated as 7.5% <strong>and</strong> between B <strong>and</strong> C as<br />

19.8%, then the gene order is BAC.<br />

B....................................A...............C<br />

bffff 12.5ffffgbf 7.5fg<br />

b———————19.8——————g<br />

A low frequency <strong>of</strong> double crossover between B <strong>and</strong> C<br />

will give the parental genotype, so that the crossover<br />

units will be less than the sum <strong>of</strong> those between B <strong>and</strong> A,<br />

<strong>and</strong> A <strong>and</strong> C combined. Further, genes that are separated<br />

by 50 or more crossover units are essentially nonlinked<br />

<strong>and</strong> will assort independently.<br />

Physical maps are constructed based on nucleotides,<br />

the building blocks <strong>of</strong> DNA. Genetic distance on a<br />

linkage map expressed in centimorgans is not directly<br />

correlated with the physical distance expressed in<br />

nucleotides.<br />

Penetrance <strong>and</strong> expressivity<br />

It has previously been said that the environment in<br />

which a gene occurs influences how it is expressed. The<br />

source <strong>of</strong> this environmental effect could be as close<br />

<strong>and</strong> intimate as the immediate cellular environments,<br />

or as remote as the general plant external environment.<br />

In plants, breeders may transfer genes from one genetic<br />

background into another through hybridization.<br />

Sometimes, they encounter a situation in which the<br />

gene may be successfully transferred, but the desired<br />

effect is not observed. A researcher can quantitatively<br />

study the degree <strong>of</strong> expression <strong>of</strong> a trait. For example, in<br />

one case, a disease-resistance gene may <strong>of</strong>fer resistance<br />

in one plant but fail to do the same in another plant from<br />

the same population. This phenomenon is described as<br />

variable gene penetrance <strong>and</strong> measures the percentage<br />

<strong>of</strong> individuals that show some degree <strong>of</strong> expression <strong>of</strong><br />

the genotype <strong>of</strong> interest. If 20% <strong>of</strong> plants show the<br />

desired resistance trait, the resistance gene is said to have<br />

80% penetrance (Figure 3.11a). Sometimes, changes in<br />

the plant environment may cause the same plant to<br />

produce different phenotypes or degrees <strong>of</strong> expression<br />

<strong>of</strong> a trait under these different conditions. For example,<br />

the hibiscus plant normally produces single flowers<br />

(a flower with one set <strong>of</strong> petals). A double-flowered<br />

mutant (additional petals added to the primary set) has

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