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Frequency-Dependent Selection.

Make rarity advantageous or disadvantageous and track a type’s changing frequency.

Interactive experimentintuitiveField note ·
INTERACTIVE EXPERIMENT / P15

Frequency-Dependent Selection

Make rarity advantageous or disadvantageous and track a type’s changing frequency.

TEST THE MECHANISM

Two haploid types reproduce proportionally to frequency-dependent fitness. Negative dependence favours rarity; positive dependence favours the currently common type.

595
Frequency dependence
0.00.51.0
Selection changes as a type becomes common · Scale 0.0 to 1.0 · 0 generationsA frequency
Current A frequency
0.200
Fitness rule
wA=2−p; wB=1+p

Rarity is advantageous only under the chosen rule. Mutation, drift, diploidy and changing environments are omitted; these coefficients are not measured selection estimates.

The fitness functions are teaching assumptions, not measured coefficients. Mutation, genetic drift, diploidy and environmental change are absent.

THE SHORT VERSION

Frequency-Dependent Selection, explained.

Frequency-dependent selection makes a type’s relative reproductive success depend on how common it is in the population.

01 / THE MECHANISM

Why it happens

Haploid frequencies update proportionally to fitness. Rare-type advantage uses wA=2−p and wB=1+p; the alternative reverses these advantages, changing the stability of one-half frequency.

Frequency-dependent selection makes a type’s relative reproductive success depend on how common it is in the population.

Read the result

Fitness changes with the current frequency rather than remaining fixed across generations. The chosen rule determines whether rarity is advantageous.

02 / FOLLOW IT THROUGH

A worked example

Reverse the stability of an interior balance

  1. Begin with A at twenty percent and choose rare-type advantage.

  2. Advance generations and inspect movement toward one-half under the stated fitness functions.

  3. Restart with common-type advantage and compare movement away from the one-half balance.

OPTIONAL DEEPER DETAILGo deeper: inside the model

Inside this model

Haploid frequencies update proportionally to fitness. Rare-type advantage uses wA=2−p and wB=1+p; the alternative reverses these advantages, changing the stability of one-half frequency.

03 / BEYOND THE EXPERIMENT

Where this idea is useful

A practical use

Check whether a once-successful strategy loses its advantage when it becomes common.

CHECK YOUR INTUITION

A common misconception

THE TEMPTING CONCLUSION

“A rare type always has a selective advantage.”

THE MORE USEFUL DISTINCTION

Negative frequency dependence can favour rarity; positive frequency dependence can instead favour the already common type.

What this explanation leaves out

  • The fitness functions are teaching assumptions, not measured coefficients. Mutation, genetic drift, diploidy and environmental change are absent.
ONE MORE QUESTION

Is the one-half equilibrium a measured natural frequency?

No. It follows from the symmetric teaching fitness functions, with no empirical organism or strategy calibration.

TAKE THE IDEA WITH YOU

Would becoming common change the advantage of the type you are observing?

Associated thinkers

Associated withJohn Maynard Smith ↗

Associations marked provisional are awaiting source review.

Further reading

Explore the original research or the teaching reference behind this experiment.