In Dexter and Kerry cattle, animals may be polled (hornless) or horned. The Dexter animals have short legs, whereas the Kerry animals have long legs. When many offspring were obtained from matings between polled Kerrys and horned Dexters, half were found to be polled Dexters and half polled Kerrys. When these two types of \(\mathrm{F}_{1}\) cattle were mated to one another, the following \(\mathrm{F}_{2}\) data were obtained: \(3 / 8\) polled Dexters \(3 / 8\) polled Kerrys \(1 / 8\) horned Dexters \(1 / 8\) horned Kerrys A geneticist was puzzled by these data and interviewed farmers who had bred these cattle for decades. She learned thatKerrys were true breeding. Dexters, on the other hand, were not true breeding and never produced as many offspring as Kerrys. Provide a genetic explanation for these observations.

Short Answer

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Based on the given information, the inheritance pattern of traits in cattle can be analyzed as follows: 1. The polled trait (hornless) is dominant over the horned trait. 2. The short legs (Dexter) trait is recessive, while the long legs (Kerry) trait is dominant. 3. When polled Kerrys (PP KK) are mated with horned Dexters (pp DD), the F1 generation consists of 50% polled Dexters (PP DK) and 50% polled Kerrys (PP KD). 4. In the F2 generation, we observe a ratio of 3/8 polled Dexters (PP DD), 3/8 polled Kerrys (PP KK), 1/8 horned Dexters (Pp DD), and 1/8 horned Kerrys (Pp KK). This inheritance pattern explains why Kerrys are true breeding but polled Dexters are not. The presence of the heterozygous genotype (Pp DD) in the F2 generation results in 12.5% of offspring being horned Dexters, causing the breed to not produce as many polled offspring as Kerrys.

Step by step solution

01

Identifying traits and inheritance pattern

From the data, we can identify the following traits: 1. Polled (hornless) or Horned 2. Short legs (Dexter) or Long legs (Kerry) When polled Kerrys and horned Dexters are mated, we get half polled Dexters and half polled Kerrys. This demonstrates that the polled trait is dominant over the horned trait.
02

Analyze the \(\mathrm{F}_{2}\) generation data

In the \(\mathrm{F}_{2}\) generation, we observe that: 1. \(3 / 8\) (37.5%) are polled Dexters 2. \(3 / 8\) (37.5%) are polled Kerrys 3. \(1 / 8\) (12.5%) are horned Dexters 4. \(1 / 8\) (12.5%) are horned Kerrys These observed ratios indicate that at least two independently assorting genes are involved in controlling the inheritance of these traits, with the polled trait showing a dominant gene action over horned, and the Dexter trait showing a recessive gene action over Kerry.
03

Propose gene symbols

Let's use the following gene symbols: 1. "P" for polled (dominant) and "p" for horned (recessive) 2. "D" for short legs (Dexter, recessive) and "K" for long legs (Kerry, dominant) According to the data, polled Kerrys and horned Dexters were true breeding, so their genotypes should be PP KK and pp DD, respectively.
04

Analyze the \(\mathrm{F}_{1}\) generation data

The cross between polled Kerry (PP KK) and horned Dexter (pp DD) cattle results in the \(\mathrm{F}_{1}\) generation with the same polled phenotype and different breed phenotypes (50% polled Kerrys, 50% polled Dexters). This means that their genotypes are as follows: 1. Polled Kerrys: PP KD (50%) 2. Polled Dexters: PP DK (50%)
05

Analyze the \(\mathrm{F}_{2}\) generation data

When the \(\mathrm{F}_{1}\) generation cattle (PP KD and PP DK) are mated, we will get offspring in the following proportions: 1. \(3 / 8\) polled Dexters: PP DD 2. \(3 / 8\) polled Kerrys: PP KK 3. \(1 / 8\) horned Dexters: Pp DD 4. \(1 / 8\) horned Kerrys: Pp KK The observed data in the \(\mathrm{F}_{2}\) generation are consistent with this explanation.
06

Explain breeding observations

From the genotype analysis, we can explain the breeding observations mentioned in the problem: 1. Kerrys are true breeding because they have the dominant "K" allele for leg length, and the "PP" genotype for polled trait allows them to remain hornless. 2. Dexters are not true breeding because they have the recessive "D" allele for leg length. Although 50% of polled Dexters' offspring will be polled Dexters (PP DD), the presence of the heterozygous genotype (Pp DD) in the \(\mathrm{F}_{2}\) generation results in 12.5% of offspring being horned Dexters, causing the breed to not produce as many polled offspring as Kerrys.

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Most popular questions from this chapter

In humans, the \(A B O\) blood type is under the control of autosomal multiple alleles. Color blindness is a recessive X-linked trait. If two parents who are both type \(A\) and have normal vision produce a son who is color-blind and is type \(\mathrm{O},\) what is the probability that their next child will be a female who has normal vision and is type \(\mathrm{O} ?\)

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In this chapter, we focused on extensions and modifications of Mendelian principles and ratios. In the process, we encountered many opportunities to consider how this information was acquired. On the basis of these discussions, what answers would you propose to the following fundamental questions? (a) How were early geneticists able to ascertain inheritance patterns that did not fit typical Mendelian ratios? (b) How did geneticists determine that inheritance of some phenotypic characteristics involves the interactions of two or more gene pairs? How were they able to determine how many gene pairs were involved? (c) How do we know that specific genes are located on the sex-determining chromosomes rather than on autosomes? (d) For genes whose expression seems to be tied to the sex of individuals, how do we know whether a gene is X-linked in contrast to exhibiting sex-limited or sex-influenced inheritance?

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