The single conversion factor used throughout this package to translate an acute risk expressed in micromorts into the equivalent chronic risk expressed in microlives.
Details
Unit definitions
1 micromort = a 1-in-1,000,000 (1e-6) probability of death from a specific acute exposure.
1 microlife = 30 minutes of life expectancy.
Derivation
Following the life-expectancy framework introduced by Spiegelhalter (2012),
a micromort's expected cost in life expectancy ("loss of life expectancy",
LLE) is the exposure probability multiplied by the life expectancy
remaining at the time of exposure. This package follows the common
convention (matching the derivation already used internally by
combined_quiz_pairs()) of assuming 40 years of remaining life
expectancy for an "average" adult:
LLE_minutes = 1e-6 * 40 years * 365 days/year * 24 hours/day * 60 min/hour
= 1e-6 * 21,024,000 minutes
= 21.024 minutes
microlives = LLE_minutes / 30 minutes-per-microlife
= 21.024 / 30
= 0.7008 -> rounds to 0.7i.e. MICROLIVES_PER_MICROMORT = (40 * 365 * 24 * 60 * 1e-6) / 30, which
evaluates to 0.7008 and is stored rounded to one decimal place as 0.7.
Caveat
The 40-year remaining-life-expectancy assumption is a simplification: the
true conversion factor varies by age (a micromort taken late in life
converts to fewer microlives than one taken early in life, because there
is less remaining life expectancy to lose). 0.7 is therefore a
population-average approximation, not an individually-calibrated value.
This package has not been able to trace the exact 0.7 figure to a
verbatim formula in Spiegelhalter's original BMJ paper (the derivation
above is this package's own reconstruction, cross-checked against
independent secondary sources that report the same 40-year assumption and
arithmetic); the general micromort/microlife framework itself, however, is
directly attributable to that paper.
References
Spiegelhalter D (2012). "Using speed of ageing and 'microlives' to communicate the effects of lifetime habits and environment." BMJ 2012;345:e8223. doi:10.1136/bmj.e8223 https://en.wikipedia.org/wiki/Micromort https://en.wikipedia.org/wiki/Microlife
