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Social distancing model calculator

Explore how a specified reduction in effective contacts changes a reproduction number and hypothetical new cases over transmission generations.

Calculator

Modelled reproduction number
1.0000
Effective contact reduction
60.00%
Reduction to reach R = 1
60.00%
Hypothetical new cases per generation
GenerationBaselineReduced contacts
0.0000100.0000100.0000
1.0000250.0000100.0000
2.0000625.0000100.0000
3.00001,562.5000100.0000
4.00003,906.2500100.0000
5.00009,765.6250100.0000

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How this calculator works

In a simple homogeneous transmission model, the reproduction number scales with the effective contact rate when transmission probability and infectious duration remain constant. This page varies that one factor. A percentage reduction in effective contacts is not a distance in metres and is not directly the percentage of people staying home. The table is a hypothetical geometric comparison. The result is an estimate for information only and is not medical advice.

Formula

R after contact reduction = R0 × (1 - reduction). Reduction to reach R = 1 is max(0, 1 - 1/R0). New cases in generation g = initial cases × R^g.

Worked example

Baseline R 2.5 with a 60% effective-contact reduction gives R 1.0. With 100 initial cases, the next generation is 250 at baseline versus 100 after the assumed reduction.

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Frequently asked questions

Can this choose a safe interpersonal distance?

No. Physical distance, ventilation and exposure duration do not translate into one universal percentage reduction.

Does R = 1 mean no cases?

No. In this simplified generation model, each generation replaces itself at the same size. Decline requires R below 1.

Does the model include immunity?

No. All other factors are held constant. Use a compartmental model when changing susceptibility matters.

Sources

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