All the core content is now in hand. Here is the full comparison directly from Park's PSM.
Incidence vs Prevalence - Park's PSM
Definitions
Incidence
"The number of new cases occurring in a defined population during a specified period of time."
Formula:
$$\text{Incidence Rate} = \frac{\text{Number of NEW cases of a disease in a given time period}}{\text{Population at-risk during that period}} \times 1000$$
Example: 500 new cases in a population of 30,000 in a year = 500/30,000 × 1000 = 16.7 per 1,000 per year
Important: Incidence rate MUST include the unit of time (e.g., "per 1,000 per year"). Writing "16.7 per 1,000" alone is inadequate.
Prevalence
"All current cases (old AND new) existing at a given point in time, or over a period of time, in a given population."
Although called a "rate," prevalence is technically a ratio.
Types of Prevalence
(a) Point Prevalence
- All current cases (old + new) at one point in time
- The "point" may practically span a few days or weeks (time needed to examine the population)
- When "prevalence rate" is used without qualification, it means point prevalence
Formula:
$$\text{Point Prevalence} = \frac{\text{All current cases (old + new) at a given point in time}}{\text{Estimated population at that same point in time}} \times 100$$
(b) Period Prevalence
- All current cases (old + new) existing during a defined period (e.g., annual prevalence)
- Includes cases arising before the period but extending into it, PLUS cases arising during the period
Formula:
$$\text{Period Prevalence} = \frac{\text{Existing cases (old + new) during a given time interval}}{\text{Estimated mid-interval population at-risk}} \times 100$$
The Classic Diagram (Fig. 2 from Park)
Using Fig. 2 (cases 1-8 shown across the year Jan 1 to Dec 31):
| Measure | Cases Counted |
|---|
| Incidence (new cases arising during the year) | Cases 3, 4, 5, 8 |
| Point prevalence (Jan 1) | Cases 1, 2, 7 |
| Point prevalence (Dec 31) | Cases 1, 3, 5, 6 |
| Period prevalence (whole year) | Cases 1, 2, 3, 4, 5, 6, 7, 8 |
Comparison Table
| Feature | Incidence | Prevalence |
|---|
| Definition | New cases in a time period | All cases (old + new) at a point/period |
| Cases counted | NEW cases only | OLD + NEW cases |
| Time dimension | Rates over a period (dynamic) | Snapshot at a point in time (static) |
| Expressed as | Rate (per 1,000 per year) | Ratio/proportion (per 100 or 1,000) |
| Denominator | Population at-risk | Population at-risk |
| Influenced by | Risk factors, exposure | Incidence + Duration of disease |
| Analogy (Park) | A film - continuous record | A photograph - instantaneous record |
| Study design | Cohort studies (prospective) | Cross-sectional (prevalence) surveys |
| Best used for | Aetiology, causation research | Administrative/planning purposes |
| Used in | Acute conditions primarily | Chronic conditions primarily |
Relationship Between Incidence and Prevalence
$$\boxed{P = I \times D}$$
Where:
- P = Prevalence
- I = Incidence
- D = Mean duration of illness
Derivations:
- Incidence = P/D
- Duration = P/I
Example: Incidence = 10/1,000/year; Mean duration = 5 years → Prevalence = 10 × 5 = 50 per 1,000
The Bathtub/Tap Analogy (Fig. 3 from Park)
- Incidence = the tap (rate at which new cases pour in)
- Prevalence = the water level in the tub (all existing cases)
- Recovery/Death = the drain (cases leaving the pool)
The water level (prevalence) goes up when the tap (incidence) flows faster OR when the drain (recovery/death) slows down.
Coffee House Analogy (Park)
- Counting people inside the coffee house at 10 AM = Prevalence
- Rate at which people enter per hour = Incidence
What Affects Prevalence?
Prevalence increases when:
- Incidence increases
- Duration of disease increases (e.g., effective treatment that prevents death but does not cure)
- In-migration of cases
- Out-migration of healthy people
Prevalence decreases when:
- Incidence decreases
- More rapid recovery (shorter duration)
- More rapid death (shorter duration)
- New effective cure introduced
Paradox from Park: A treatment that prevents death but does not cure may paradoxically increase prevalence even without any change in incidence (e.g., early antiretrovirals in HIV).
Conversely, if duration decreases sufficiently, prevalence can fall despite a rise in incidence.
Uses of Each Measure
Uses of Incidence Rate
- To control disease - identifies rate of new case occurrence
- Aetiological research - studies causation, distribution, and pathogenesis
- Testing efficacy of preventive and therapeutic measures
- Monitoring and evaluation of disease control activities
- Optimal measure for formulating and testing aetiological hypotheses
Uses of Prevalence Rate
- Estimates the magnitude of health/disease burden in the community
- Identifies high-risk populations
- Administrative and planning purposes - estimating hospital beds, manpower needs, rehabilitation facilities
- Used when incidence data is unavailable (with caution - duration element must be assessed)
Limitations
| Incidence | Prevalence |
|---|
| Limitation | Requires prospective follow-up - expensive, time-consuming | NOT ideal for studying aetiology - mixes incidence (causal factors) with duration (prognostic factors) |
| When not preferred | Difficult to obtain for rare/chronic diseases | Cannot establish causation |
High-Yield Exam Points
| Point | Key Fact |
|---|
| Incidence = | New cases / Population at-risk × 1,000 |
| Must express incidence as | Per 1,000 per year (time unit mandatory) |
| Prevalence = | All cases (old+new) / Population × 100 |
| "Prevalence rate" without qualifier = | Point prevalence |
| Incidence used for | Acute conditions, aetiology |
| Prevalence used for | Chronic conditions, planning |
| Incidence vs Prevalence analogy | Film vs Photograph |
| P = I × D means | TB - high prevalence relative to incidence (long duration) |
| Food poisoning - | Practically no prevalence (too short-lived) |
| Homicides - | Strictly no prevalence |
| Cross-sectional study measures | Prevalence |
| Cohort study measures | Incidence |
| Prevalence pool decreased by | Recovery, death, decreased incidence |
- Park's Textbook of Preventive and Social Medicine, pp. 72-74