A. Uncle-niece marriage
B. Second cousin marriage
C. First cousin marriage
D. Third cousin marriage
Choose the correct answer from the options given below :
Understanding Inbreeding Coefficient Order
The question asks to arrange specific inbreeding types based on their coefficient of inbreeding (COI) in descending order (largest to smallest).
Calculating Coefficient of Inbreeding (COI)
The COI quantifies the increased likelihood of offspring inheriting identical alleles from both parents, stemming from shared ancestors. It is calculated using the formula $f = \frac{r}{2}$, where r is the coefficient of relationship between the parents.
The standard coefficients of relationship (r) for the involved parental relationships are:
| Marriage Type | Parental Relationship | Coefficient of Relationship (r) | Offspring COI (f = r/2) |
| A. Uncle-niece | Uncle to Niece | $r_{UN} = \frac{1}{4}$ | $f_A = \frac{1/4}{2} = \frac{1}{8}$ |
| C. First cousin | First Cousins | $r_{FC} = \frac{1}{8}$ | $f_C = \frac{1/8}{2} = \frac{1}{16}$ |
| B. Second cousin | Second Cousins | $r_{SC} = \frac{1}{16}$ | $f_B = \frac{1/16}{2} = \frac{1}{32}$ |
| D. Third cousin | Third Cousins | $r_{TC} = \frac{1}{32}$ | $f_D = \frac{1/32}{2} = \frac{1}{64}$ |
Ordering Inbreeding Types by COI
The calculated COI values are:
- Uncle-niece (A): $f_A = \frac{1}{8}$
- First cousin (C): $f_C = \frac{1}{16}$
- Second cousin (B): $f_B = \frac{1}{32}$
- Third cousin (D): $f_D = \frac{1}{64}$
Arranging these from largest to smallest COI:
$\frac{1}{8} > \frac{1}{16} > \frac{1}{32} > \frac{1}{64}$
This corresponds to the order: A > C > B > D.
Final Arrangement
The correct sequence, ordering the inbreeding types from the largest coefficient of inbreeding to the smallest, is A-C-B-D.
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