Assume that in terms of 'genetic fitness' the 'benefit' of performing an altruistic act to a relative is 500 units and the 'cost' involved is 150 units. Following Hamilton's Rule the act should be performed if the relative is a (1) only brother. (2) nephew or niece. (3) brother or step-sister. (4) only step-sister.
  1. Assume that in terms of ‘genetic fitness’ the ‘benefit’ of performing an altruistic act to a
    relative is 500 units and the ‘cost’ involved is 150 units. Following Hamilton’s Rule the act should be performed if the relative is a
    (1) only brother. (2) nephew or niece.
    (3) brother or step-sister. (4) only step-sister.

     

    Step-by-Step Calculation Using Hamilton’s Rule

    1. Set up the inequality:

      r×500>150r>150500=0.3

    2. Interpret the result:
      A should help B only if their genetic relatedness is greater than 0.3.

    Genetic Relatedness Values

    • Brother or Sister: r = 0.5

    • Nephew or Niece: r = 0.25

    • Step-sister: r = 0 (no genetic relation)

    • Cousin: r = 0.125

    These values are well-established in genetics and evolutionary biology.

    Applying the Rule to the Options

    Relationship Relatedness (r) Meets r > 0.3?
    Brother or Sister 0.5 Yes
    Nephew or Niece 0.25 No
    Brother or Step-sister 0.5 and 0 Only brother
    Only Step-sister 0 No
    • Brother or Sister: r = 0.5 > 0.3 → A should help

    • Nephew or Niece: r = 0.25 < 0.3 → A should not help

    • Brother or Step-sister: Only the brother qualifies (r = 0.5)

    • Only Step-sister: r = 0

    Conclusion

    According to Hamilton’s rule, Individual A should help Individual B only if B is his brother or sister, because only this relationship meets the threshold of genetic relatedness required for the altruistic act to be favored by natural selection.

    Correct answer: (1) only brother.

1 Comment
  • Kajal
    October 15, 2025

    Only brother

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