Kin Selection and Hamilton's Rule

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kin-selection altruism inclusive-fitness relatedness

Core Idea

Kin selection explains evolution of altruistic behaviors through inclusive fitness: genes increase in frequency if they promote survival and reproduction of relatives who share them by descent. Hamilton's rule (rB > C) quantifies when altruism is favored: the inclusive benefit (relatedness × beneficiary benefit) must exceed the actor's cost. This principle explains eusociality and cooperation.

How It's Best Learned

Work through classic examples: alarm calls, worker sterility in social insects, sibling cooperation. Calculate coefficients of relatedness (r) for different kin relationships.

Common Misconceptions

Explainer

Natural selection, as you already understand it, favors traits that increase an individual's own reproductive success. But this creates a puzzle: why do worker bees sacrifice their own reproduction to help the queen, or why does a ground squirrel give an alarm call that attracts a predator's attention? These behaviors reduce the actor's fitness while boosting someone else's. Kin selection resolves this paradox by expanding the unit of accounting from personal reproduction to the spread of shared genes through relatives.

The key insight is inclusive fitness — your evolutionary success includes not just your own offspring but also the extra offspring your relatives produce because of your help, discounted by how closely related you are. W.D. Hamilton formalized this with an elegantly simple inequality: rB > C, where r is the coefficient of relatedness between actor and beneficiary, B is the reproductive benefit to the beneficiary, and C is the reproductive cost to the actor. When this inequality holds, genes promoting the altruistic behavior spread through the population even though the altruist personally pays a price.

The coefficient of relatedness, r, measures the probability that two individuals share a given allele by common descent. Full siblings share r = 0.5, half-siblings r = 0.25, and cousins r = 0.125. This is why J.B.S. Haldane reportedly quipped he would lay down his life for two brothers or eight cousins — the math checks out. In haplodiploid insects like bees and ants, sisters share r = 0.75 because they inherit an identical haploid genome from their father, which helps explain why sterile worker castes evolved repeatedly in these lineages. A worker bee who helps her mother produce more sisters passes on more of her genes than she would by reproducing directly.

Kin selection is not limited to dramatic cases of self-sacrifice. It explains a gradient of cooperative behaviors: birds that help at the nest of a related breeding pair, cellular slime molds where some cells sacrifice themselves to form a stalk that disperses spore-bearing relatives, and even bacteria that release costly toxins benefiting nearby clone-mates. The principle applies wherever organisms interact with relatives and the Hamilton's rule inequality is satisfied. What matters is not conscious calculation but the statistical tendency for genes promoting kin-directed help to increase in frequency — natural selection operating on shared genetic interests rather than individual survival alone.

Practice Questions 5 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of 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