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BU-103 / L24 · lecture

Pedigree Analysis of Sex-Linked Traits

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BEFORE YOU START

You should be comfortable with basic Mendelian ratios and understand the difference between autosomal and sex-linked inheritance. Familiarity with Punnett squares for X-linked traits is assumed.

Why this matters

Pedigree analysis allows us to deduce inheritance patterns from family history without controlled crosses.

In human genetics, we cannot perform controlled breeding experiments. Instead, we rely on pedigree charts to trace the transmission of traits across generations. This is particularly crucial for sex-linked traits, where the pattern of inheritance differs significantly between males and females due to the heterogametic sex (XY) carrying only one copy of the X-linked gene. By observing who is affected in a family tree, we can determine if a trait is dominant or recessive, and whether it is linked to the X chromosome or an autosome. This skill is fundamental for genetic counselling and understanding the prevalence of conditions like haemophilia or colour blindness.

The Logic of X-Linked Pedigrees

When analysing a pedigree for a sex-linked trait, the most striking feature is the asymmetry between males and females. Males have one X and one Y chromosome. If they inherit an X chromosome carrying a recessive allele, they will express the trait because there is no second X chromosome to provide a dominant allele. This is why X-linked recessive traits are more common in males. Females have two X chromosomes. To express a recessive X-linked trait, a female must inherit the recessive allele on both X chromosomes. This is statistically less likely unless the father is affected and the mother is a carrier. Consequently, a key rule of thumb emerges: an affected male must pass his X-linked allele to all his daughters, making them carriers (if the mother contributes a normal allele) or affected (if the mother is also a carrier or affected). He cannot pass the allele to his sons, as he gives them his Y chromosome. This creates a distinctive "criss-cross" inheritance pattern where the trait appears to skip generations or move from an affected grandfather to his granddaughters. In contrast, autosomal traits do not show this gender bias; an affected father can pass an autosomal recessive allele to a son, provided the mother is also a carrier. Therefore, if you see a pattern where affected males are connected through unaffected females, or where the trait is overwhelmingly male, you should strongly suspect X-linked recessive inheritance. If the trait appears in both sexes with equal frequency and is passed from father to son, it is likely autosomal.

Distinguishing Dominant from Recessive

To determine if an X-linked trait is dominant or recessive, we look at the transmission from parents to offspring. For an X-linked dominant trait, an affected father will pass the dominant allele to all his daughters, so all daughters will be affected. An affected mother who is heterozygous will pass the dominant allele to half her sons and half her daughters, resulting in a 50% affected rate in both sexes. Crucially, an affected mother must have inherited the dominant allele from an affected parent (mother or father) unless it arose as a new mutation. For an X-linked recessive trait, an affected father passes the recessive allele to all daughters, but they will be phenotypically normal if the mother provides a dominant allele. An affected mother, however, must be homozygous recessive. This means her father must have been affected, and her mother must have been at least a carrier. If an affected mother has sons, all her sons will be affected because they inherit her only X chromosome, which carries the recessive allele. This is a powerful diagnostic tool: if an affected mother has an unaffected son, the trait cannot be X-linked recessive. It is more likely autosomal. In pedigree analysis, we often use probability to assess the likelihood of a child being affected. For example, if a carrier mother (\(X^A X^a\)) mates with a normal father (\(X^A Y\)), the probability of an affected son is \(1/2\), and the probability of an affected daughter is \(0\). The probability of a carrier daughter is \(1/2\). These probabilities are derived from the standard Mendelian ratios adjusted for sex chromosomes.

Calculating Probabilities in Complex Pedigrees

When dealing with multi-generational pedigrees, we must calculate the probability of an individual being a carrier before predicting the outcome for their offspring. Consider a scenario where a woman has an affected brother but her parents are unaffected. This indicates her mother was a carrier. The probability that the woman is a carrier is \(1/2\), assuming no other information. If she mates with a normal male, the probability that their son is affected is the product of the probability that she is a carrier and the probability that she passes the allele to a son. This is \(1/2 \times 1/2 = 1/4\). If the question asks for the probability that a specific child, known to be male, is affected, we condition on the sex. The probability that the mother is a carrier is still \(1/2\). Given that she is a carrier, the probability of passing the allele to a son is \(1/2\). Thus, the conditional probability is \(1/2 \times 1/2 = 1/4\). However, if we are asked for the probability that a child (of unknown sex) is affected, we must consider both sons and daughters. Daughters cannot be affected in this cross (carrier mother x normal father), so the probability is effectively the probability of having an affected son. The probability of having a son is \(1/2\), and the probability that son is affected given the mother is a carrier is \(1/2\). The probability the mother is a carrier is \(1/2\). So the total probability is \(1/2 \times 1/2 \times 1/2 = 1/8\). This step-by-step multiplication of independent events is the core of pedigree probability calculations. It is essential to clearly define the event space and condition on known phenotypes to avoid double-counting or missing conditional dependencies.

Common Pitfalls in Interpretation

One common error is assuming that because a trait is more common in males, it must be Y-linked. Y-linked traits are passed from father to all sons, and never to daughters. If you see an affected father with an unaffected son, the trait is not Y-linked. Another pitfall is ignoring the possibility of new mutations. In rare X-linked recessive disorders, a significant proportion of cases arise from new mutations in the mother's germline or the father's germline (though less common for X-linked). This can lead to apparent "skipping" of generations that is not due to carrier status but to de novo events. Additionally, incomplete penetrance can confuse pedigree analysis. If a carrier female does not express the trait, or if an affected male has a milder phenotype, the standard ratios may not hold. In such cases, we rely on statistical likelihoods rather than deterministic rules. It is also important to distinguish between X-linked and autosomal recessive when the pedigree is small. In a small family, the absence of affected females does not prove X-linkage; it could simply be chance. Larger pedigrees or molecular genetic testing are often required for definitive diagnosis. Always check if the trait can be passed from father to son. If yes, it is not X-linked. If no, it could be X-linked or autosomal recessive. Look at the ratio of affected males to females. If it is significantly higher in males, X-linked is more likely.

The concept

◆ CONCEPT · T-016 · full treatment on its own page

Sex linkage

Inheritance of genes carried on the sex chromosomes.

\[ X^{A}X^{a}\ (\text{carrier}) \times X^{A}Y \ \Rightarrow\ \tfrac14 X^AX^A,\ \tfrac14 X^AX^a,\ \tfrac14 X^AY,\ \tfrac14 X^aY \]
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Tier 3 · watch out

A frequent misconception is that an affected male with an X-linked recessive trait will have all affected daughters. In fact all his daughters are affected only if the mother is also affected (homozygous recessive). If she is a carrier, half of the daughters are affected; if she is homozygous normal, all of them are unaffected carriers. Always check the mother's genotype or phenotype before concluding the daughters' status. The father contributes the X chromosome, but the mother contributes the other X. The phenotype depends on the combination. C

Worked example

Problem. A woman with normal colour vision has a colour-blind brother; their parents both have normal vision. She marries a man with normal vision, and their first son is colour-blind (red–green colour blindness is X-linked recessive). (a) Before the son was born, what was the probability that she was a carrier? (b) Given the affected son, what is the probability that their next child, if a daughter, is a carrier?

  1. Her brother is \(X^aY\) and their father \(X^AY\), so the brother's \(X^a\) came from their mother, who must be \(X^AX^a\).
  2. (a) The woman received her father's \(X^A\) and either maternal X with equal chance: \(P(\text{carrier}) = 1/2\).
  3. (b) Her affected son received his only X from her, so she must be \(X^AX^a\): her carrier status is now certain.
  4. A daughter receives \(X^A\) from her father and either \(X^A\) or \(X^a\) from her mother, so \(P(\text{carrier daughter}) = 1/2\). (She cannot be colour-blind, since her father's X is normal.)
\[ \text{(a) } P = \tfrac12; \qquad \text{(b) } P(\text{daughter is a carrier}) = \tfrac12 \]

Units check. Probabilities are dimensionless. The lesson: new information, such as an affected child, can raise a prior risk of 1/2 to certainty, so pedigree probabilities must be updated as the family grows.

CHECK YOURSELF

Three quick tests

  1. Can an affected father pass an X-linked recessive trait to his son?
    AnswerNo, he passes his Y chromosome to his son. The son must inherit the X-linked allele from his mother.
  2. If a woman is a carrier for an X-linked recessive trait and mates with an affected man, what is the probability their daughter is affected?
    Answer1/2. The daughter inherits \(X^a\) from the father and has a 1/2 chance of inheriting \(X^a\) from the mother, resulting in \(X^a X^a\).
  3. Why are X-linked recessive traits more common in males?
    AnswerMales have only one X chromosome. If they inherit the recessive allele, they express the trait because there is no second X chromosome to mask it. Females need two copies to express the trait.
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NOTES

Lecture notes drafted with a local model and checked line by line by the editor; every number in the worked example was recomputed.

Concepts cited: T-016 · Threads: information, evolution