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AKT Statistics Guide · Part 1 · Chapter 3

Incidence vs Prevalence

New cases versus everyone living with it — two words that sound interchangeable and absolutely are not.

▶Watch the tutorial · 6 min — incidence, prevalence and the bath analogy, worked through with numbers.

Where this shows up in the AKT

  • Epidemiology and public-health questions.
  • Screening and service or resource planning.
  • The classic trap: a “risk of developing disease” question tempting you with a prevalence figure.

Mix these two up and you will answer a screening question with the wrong number. Sort them out and a whole slice of epidemiology becomes easy marks.

The two definitions — becoming vs being

Get the definitions clean and everything else follows from them.

Incidence — becoming

  • Incidence = the rate of new cases over a period of time, among the people at risk.
  • It captures the risk of developing the disease — an event happening over an interval.

Prevalence — being

  • Prevalence = the proportion of people who have the disease at a single point in time — existing cases and new ones together.
  • It captures the current burden — a snapshot, not a flow.
Incidence is about becoming; prevalence is about being. One counts new arrivals over time; the other counts everyone currently living with the condition.

Worked example — two numbers, two meanings

A town of 10,000 people. Over one year, 200 are newly diagnosed with a condition. At any given moment, 800 are living with it.

The same town measured two ways.
MeasureValueWhat it means
Incidence200New cases per 10,000 per year — the risk of developing it
Prevalence800 (8%)Currently affected at a point in time — the burden
  • The incidence is 200 new cases per 10,000 per year.
  • The prevalence is 800 in 10,000 — 8% — at a point in time.

Notice the link: prevalence ≈ incidence × average duration. Two hundred new cases a year, each lasting about four years, gives 200 × 4 = 800 people living with it.

The bath analogy

For the clinical intuition, think of a bath filling and draining.

  • Incidence is the tap — new cases flowing in.
  • The plughole is recovery or death — cases leaving.
  • Prevalence is the water sitting in the bath at any moment.

A long-lasting disease such as type 2 diabetes or COPD has a high prevalence even when new diagnoses each year are modest — the bath fills up because little drains away. A short illness, or one that is quickly cured or quickly fatal, drains fast, so prevalence stays low even when incidence is high.

The bath model of incidence and prevalence

The bath model: incidence is the tap (new cases in), recovery and death drain cases out, and prevalence is the water in the bath — so prevalence ≈ incidence × duration.

The twist examiners love

  • A treatment that helps people live longer with a chronic disease, without preventing a single new case…
  • …raises prevalence — more water in the bath, same tap.
  • So rising prevalence does not always mean rising incidence; sometimes it just means people are surviving longer.

The traps that cost marks

Trap — swapping the two definitions. Incidence is new cases over a period; prevalence is everyone with the disease at a point in time. Read the stem for “new” versus “currently have”.
Trap — assuming rising prevalence means more new cases. It may simply mean better survival: longer duration fills the bath without a single extra case from the tap.
Trap — answering a “risk of developing” question with prevalence. Risk of developing disease over a period is incidence. Prevalence tells you the current burden — useful for planning services, not for individual risk.
AKT-style question

A new treatment lets people live much longer with a chronic disease, but does not reduce the number of new cases. What happens to the prevalence?

  • It rises
  • It falls
  • It stays exactly the same
  • It drops to zero
  • It equals the incidence
Reveal answer

A — it rises. The tap is unchanged (incidence is the same), but the plughole is slower because people live longer, so the bath fills: prevalence goes up. Since prevalence ≈ incidence × duration, a longer average duration raises prevalence even with no extra new cases. This is exactly why improving survival in a chronic disease can increase its prevalence without any change in how many people develop it.

Lock it in

  • Incidence: new cases over time — the risk of developing disease.
  • Prevalence: everyone living with it now — the current burden.
  • Linked: prevalence ≈ incidence × duration.
  • The bath: tap (incidence), plughole (recovery or death), water level (prevalence).
Source concepts: standard epidemiological methodology (measures of disease frequency). A revision summary, not a clinical protocol.

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