The Genetic Basis of Inheritance
What can we learn from Mendelius?
If two red individuals are crossed, the offspring are bound to be red, since both father and mother carry an R allele as shown below:
RR x RR → RR
We will see the same results when two beige individuals cross. Every offspring will be beige:
BB x BB → BB
What happens when a red individual and a beige one cross? According to the reasoning just explained, the red individual will always carry an R allele, whereas the beige one will always carry a B allele. As a result, every offspring will be RB and it will take on an ochre colour.
BB x RR → RB
Mendel observed that a cross between two purebreds that differed in a given trait resulted in a first generation of offsprings identical to each other at the phenotypic (manifestation of the trait, in this case, skin color) and genotypic level (configuration of alleles, in this case RR, BB or RB). In some textbooks, this fact is described as the Principle of Uniformity.
A cross between a purebred (red RR or beige BB) and a hybrid (ochre RB) is called here a mixed cross.
First, we are going to analyse the offspring obtained after the cross of a beige individual and an ochre one. The beige individual will always carry a B allele, whereas the ochre one has a 50% chance of inheriting a B allele and the other a 50% of inheriting an R allele. In order to see more clearly what effect this would have on offspring, we are going to use what we call in Biology the Punnett Square. In this picture you can find the gametes (ovules and spermatozoa, or reproductive cells) that form the beige parent in the first vertical column, while the gametes that form the ochre parent are represented in the first horizontal row. As we will explain later, gametes have a single allele for each gene, instead of two. Afterwards, you just have to fill the boxes inside the square making all possible combinations of gametes. Thus, the first gamete of a parent will be united with the first gamete of the other parent, the first gamete of a parent with the second of the other, and so on:
Then, the resulting proportions will be:
BB x RB → 50% BB : 50% RB
Likewise, to form a cross between a red individual and an ochre individual:
RR x RB → 50% RR : 50% RB
What happens when two ochre individuals cross? Each of them will provide the offspring with either an R allele or a B allele with an equal probability of 50%. So, using the Punnett Square again, the crossing would look like this:
RB x RB → 25% RR : 50% RB : 25% BB
Mendel analysed the results of these crossings and formulated his First Law or Law of Segregation of Alleles. He assumed that the genetic information of each individual for a trait was determined by two factors (now called alleles), that separate from each other during the formation of the gametes and rejoin after the fertilisation. The gametes, therefore, will only have one allele and not two like the rest of the non-reproductive cells. The biological purpose behind this phenomenon is to keep the amount of genetic information constant in the offspring, so that when the maternal and paternal gametes unite to breed, the number of alleles (2) is maintained, and one is always inherited from each parent.
Nowadays we know that gametes go through a reductive cell division or meiosis, which reduces the genetic endowment by half, so that each gamete contains only one allele for each gene.
It is also important to emphasise that the inheritance of skin colour in no way affects the inheritance of another trait, such as the sex of the individual. This enunciates Mendel’s Second Law or Law of Independent Assortment.
This only happens with unlinked genes, that is, genes that are on different chromosomes or very far within the same chromosome.