What ratio of offspring would result from a cross between a white eyed male and a female that is heterozygous for red-eye color?

Mendel implied that only two alleles, one dominant and one recessive, could exist for a given gene. We now know that this is an oversimplification. Although individual humans (and all diploid organisms) can only have two alleles for a given gene, multiple alleles may exist at the population level such that many combinations of two alleles are observed. Note that when many alleles exist for the same gene, the convention is to denote the most common phenotype or genotype among wild animals as the wild type (often abbreviated “+”); this is considered the standard or norm. All other phenotypes or genotypes are considered variants of this standard, meaning that they deviate from the wild type. The variant may be recessive or dominant to the wild-type allele.

An example of multiple alleles is coat color in rabbits (Figure \(\PageIndex{5}\)). Here, four alleles exist for the c gene. The wild-type version, C+C+, is expressed as brown fur. The chinchilla phenotype, cchcch, is expressed as black-tipped white fur. The Himalayan phenotype, chch, has black fur on the extremities and white fur elsewhere. Finally, the albino, or “colorless” phenotype, cc, is expressed as white fur. In cases of multiple alleles, dominance hierarchies can exist. In this case, the wild-type allele is dominant over all the others, chinchilla is incompletely dominant over Himalayan and albino, and Himalayan is dominant over albino. This hierarchy, or allelic series, was revealed by observing the phenotypes of each possible heterozygote offspring.

What ratio of offspring would result from a cross between a white eyed male and a female that is heterozygous for red-eye color?
Figure \(\PageIndex{5}\): Four different alleles exist for the rabbit coat color (C) gene.

The complete dominance of a wild-type phenotype over all other mutants often occurs as an effect of “dosage” of a specific gene product, such that the wild-type allele supplies the correct amount of gene product whereas the mutant alleles cannot. For the allelic series in rabbits, the wild-type allele may supply a given dosage of fur pigment, whereas the mutants supply a lesser dosage or none at all. Interestingly, the Himalayan phenotype is the result of an allele that produces a temperature-sensitive gene product that only produces pigment in the cooler extremities of the rabbit’s body.

Alternatively, one mutant allele can be dominant over all other phenotypes, including the wild type. This may occur when the mutant allele somehow interferes with the genetic message so that even a heterozygote with one wild-type allele copy expresses the mutant phenotype. One way in which the mutant allele can interfere is by enhancing the function of the wild-type gene product or changing its distribution in the body. One example of this is the Antennapedia mutation in Drosophila (Figure \(\PageIndex{6}\)). In this case, the mutant allele expands the distribution of the gene product, and as a result, the Antennapedia heterozygote develops legs on its head where its antennae should be.

What ratio of offspring would result from a cross between a white eyed male and a female that is heterozygous for red-eye color?
Figure \(\PageIndex{6}\): As seen in comparing the wild-type Drosophila (left) and the Antennapedia mutant (right), the Antennapedia mutant has legs on its head in place of antennae.

Evolution Connection: Multiple Alleles Confer Drug Resistance in the Malaria Parasite

Malaria is a parasitic disease in humans that is transmitted by infected female mosquitoes, including Anopheles gambiae (Figure \(\PageIndex{7}\)a), and is characterized by cyclic high fevers, chills, flu-like symptoms, and severe anemia. Plasmodium falciparum and P. vivax are the most common causative agents of malaria, and P. falciparum is the most deadly (Figure \(\PageIndex{7}\)b). When promptly and correctly treated, P. falciparum malaria has a mortality rate of 0.1 percent. However, in some parts of the world, the parasite has evolved resistance to commonly used malaria treatments, so the most effective malarial treatments can vary by geographic region.

What ratio of offspring would result from a cross between a white eyed male and a female that is heterozygous for red-eye color?
(a)
What ratio of offspring would result from a cross between a white eyed male and a female that is heterozygous for red-eye color?
(b)

Figure \(\PageIndex{7}\): The (a) Anopheles gambiae, or African malaria mosquito, acts as a vector in the transmission to humans of the malaria-causing parasite (b) Plasmodium falciparum, here visualized using false-color transmission electron microscopy. (credit a: James D. Gathany; credit b: Ute Frevert; false color by Margaret Shear; scale-bar data from Matt Russell)

In Southeast Asia, Africa, and South America, P. falciparum has developed resistance to the anti-malarial drugs chloroquine, mefloquine, and sulfadoxine-pyrimethamine. P. falciparum, which is haploid during the life stage in which it is infectious to humans, has evolved multiple drug-resistant mutant alleles of the dhps gene. Varying degrees of sulfadoxine resistance are associated with each of these alleles. Being haploid, P. falciparum needs only one drug-resistant allele to express this trait.

In Southeast Asia, different sulfadoxine-resistant alleles of the dhps gene are localized to different geographic regions. This is a common evolutionary phenomenon that occurs because drug-resistant mutants arise in a population and interbreed with other P. falciparum isolates in close proximity. Sulfadoxine-resistant parasites cause considerable human hardship in regions where this drug is widely used as an over-the-counter malaria remedy. As is common with pathogens that multiply to large numbers within an infection cycle, P. falciparum evolves relatively rapidly (over a decade or so) in response to the selective pressure of commonly used anti-malarial drugs. For this reason, scientists must constantly work to develop new drugs or drug combinations to combat the worldwide malaria burden.1

 

Genes come in different varieties, called alleles. Somatic cells contain two alleles for every gene, with one allele provided by each parent of an organism. Often, it is impossible to determine which two alleles of a gene are present within an organism's chromosomes based solely on the outward appearance of that organism. However, an allele that is hidden, or not expressed by an organism, can still be passed on to that organism's offspring and expressed in a later generation.

Tracing a hidden gene through a family tree

Mendel's principles of inheritance

Gregor Mendel was the first person to describe the manner in which traits are passed on from one generation to the next (and sometimes skip generations). Through his breeding experiments with pea plants, Mendel established three principles of inheritance that described the transmission of genetic traits before genes were even discovered. Mendel's insights greatly expanded scientists' understanding of genetic inheritance, and they also led to the development of new experimental methods.

One of the central conclusions Mendel reached after studying and breeding multiple generations of pea plants was the idea that "[you cannot] draw from the external resemblances [any] conclusions as to [the plants'] internal nature." Today, scientists use the word "phenotype" to refer to what Mendel termed an organism's "external resemblance," and the word "genotype" to refer to what Mendel termed an organism's "internal nature." Thus, to restate Mendel's conclusion in modern terms, an organism's genotype cannot be inferred by simply observing its phenotype. Indeed, Mendel's experiments revealed that phenotypes could be hidden in one generation, only to reemerge in subsequent generations. Mendel thus wondered how organisms preserved the "elementen" (or hereditary material) associated with these traits in the intervening generation, when the traits were hidden from view.

How do hidden genes pass from one generation to the next?

Although an individual gene may code for a specific physical trait, that gene can exist in different forms, or alleles. One allele for every gene in an organism is inherited from each of that organism's parents. In some cases, both parents provide the same allele of a given gene, and the offspring is referred to as homozygous ("homo" meaning "same") for that allele. In other cases, each parent provides a different allele of a given gene, and the offspring is referred to as heterozygous ("hetero" meaning "different") for that allele. Alleles produce phenotypes (or physical versions of a trait) that are either dominant or recessive. The dominance or recessivity associated with a particular allele is the result of masking, by which a dominant phenotype hides a recessive phenotype. By this logic, in heterozygous offspring only the dominant phenotype will be apparent.

The relationship of alleles to phenotype: an example

In fruit flies, the gene for body color has two different alleles: the black allele and the brown allele. Moreover, brown body color is the dominant phenotype, and black body color is the recessive phenotype.

Researchers rely on a type of shorthand to represent the different alleles of a gene. In the case of the fruit fly, the allele that codes for brown body color is represented by a B (because brown is the dominant phenotype), and the allele that codes for black body color is represented by a b (because black is the recessive phenotype). As previously mentioned, each fly inherits one allele for the body color gene from each of its parents. Therefore, each fly will carry two alleles for the body color gene. Within an individual organism, the specific combination of alleles for a gene is known as the genotype of the organism, and (as mentioned above) the physical trait associated with that genotype is called the phenotype of the organism. So, if a fly has the BB or Bb genotype, it will have a brown body color phenotype (Figure 3). In contrast, if a fly has the bb genotype, it will have a black body phenotype.

Dominance, breeding experiments, and Punnett squares

This outcome shows that the brown allele (B) and its associated phenotype are dominant to the black allele (b) and its associated phenotype. Even though all of the offspring have brown body color, they are heterozygous for the black allele.

The phenomenon of dominant phenotypes arising from the allele interactions exhibited in this cross is known as the principle of uniformity, which states that all of the offspring from a cross where the parents differ by only one trait will appear identical.

How can a breeding experiment be used to discover a genotype?

Again, the Punnett squares in this example function like a genetic multiplication table, and there is a specific reason why squares such as these work. During meiosis, chromosome pairs are split apart and distributed into cells called gametes. Each gamete contains a single copy of every chromosome, and each chromosome contains one allele for every gene. Therefore, each allele for a given gene is packaged into a separate gamete. For example, a fly with the genotype Bb will produce two types of gametes: B and b. In comparison, a fly with the genotype BB will only produce B gametes, and a fly with the genotype bb will only produce b gametes.

The following monohybrid cross shows how this concept works. In this type of breeding experiment, each parent is heterozygous for body color, so the cross can be represented by the expression Bb × Bb (Figure 10).

This observation forms the second principle of inheritance, the principle of segregation, which states that the two alleles for each gene are physically segregated when they are packaged into gametes, and each parent randomly contributes one allele for each gene to its offspring.

Can two different genes be examined at the same time?

The principle of segregation explains how individual alleles are separated among chromosomes. But is it possible to consider how two different genes, each with different allelic forms, are inherited at the same time? For example, can the alleles for the body color gene (brown and black) be mixed and matched in different combinations with the alleles for the eye color gene (red and brown)?

The simple answer to this question is yes. When chromosome pairs randomly align along the metaphase plate during meiosis I, each member of the chromosome pair contains one allele for every gene. Each gamete will receive one copy of each chromosome and one allele for every gene. When the individual chromosomes are distributed into gametes, the alleles of the different genes they carry are mixed and matched with respect to one another.

In this example, there are two different alleles for the eye color gene: the E allele for red eye color, and the e allele for brown eye color. The red (E) phenotype is dominant to the brown (e) phenotype, so heterozygous flies with the genotype Ee will have red eyes.

When two flies that are heterozygous for brown body color and red eyes are crossed (BbEe X BbEe), their alleles can combine to produce offspring with four different phenotypes (Figure 12). Those phenotypes are brown body with red eyes, brown body with brown eyes, black body with red eyes, and black body with brown eyes.

The dihybrid cross: charting two different traits in a single breeding experiment

Consider a cross between two parents that are heterozygous for both body color and eye color (BbEe x BbEe). This type of experiment is known as a dihybrid cross. All possible genotypes and associated phenotypes in this kind of cross are shown in Figure 14.

The four possible phenotypes from this cross occur in the proportions 9:3:3:1. Specifically, this cross yields the following:

  • 9 flies with brown bodies and red eyes
  • 3 flies with brown bodies and brown eyes
  • 3 flies with black bodies and red eyes
  • 1 fly with a black body and brown eyes

Why does this ratio of phenotypes occur? To answer this question, it is necessary to consider the proportions of the individual alleles involved in the cross. The ratio of brown-bodied flies to black-bodied flies is 3:1, and the ratio of red-eyed flies to brown-eyed flies is also 3:1. This means that the outcomes of body color and eye color traits appear as if they were derived from two parallel monohybrid crosses. In other words, even though alleles of two different genes were involved in this cross, these alleles behaved as if they had segregated independently.

The outcome of a dihybrid cross illustrates the third and final principle of inheritance, the principal of independent assortment, which states that the alleles for one gene segregate into gametes independently of the alleles for other genes. To restate this principle using the example above, all alleles assort in the same manner whether they code for body color alone, eye color alone, or both body color and eye color in the same cross.

The impact of Mendel's principles

Mendel's principles can be used to understand how genes and their alleles are passed down from one generation to the next. When visualized with a Punnett square, these principles can predict the potential combinations of offspring from two parents of known genotype, or infer an unknown parental genotype from tallying the resultant offspring.

An important question still remains: Do all organisms pass on their genes in this way? The answer to this question is no, but many organisms do exhibit simple inheritance patterns similar to those of fruit flies and Mendel's peas. These principles form a model against which different inheritance patterns can be compared, and this model provide researchers with a way to analyze deviations from Mendelian principles.