Midterm Equations Flashcards
Crude birth rate
(births/midyear pop) * 1000
Crude death rate
(deaths/midyear pop) * 1000
Crude rate of natural increase
CBR - CDR
Bookkeeping equation
P(t) = P(0) + B - D + I - O
Linear growth
P(t) = P(0) + k*t
k = number added/year t = number years
Exponential growth
P(t) = P(0) + e^rt
r
(1/t) * ln(Pt/P0)
t
[ln(Pt/P0)]/r
P(0)
P(t)/(e^rt)
Doubling time
70/r%
Age Specific Death Rate
(Da/Na) * 1000
Da = # deaths in age group a Na = midyear pop in age group a
Infant mortality
(# infant deaths a yr * 1000)/(# live births a yr)
ALSO = neonatal mortality + postneonatal mortality
Under 5 mortality
(# births who die before 5th bday)/(births) * 1000
Neonatal mortality
(D
Post neonatal mortality
(D 1-11 months [1yr])/B *1000
Maternal mortality ratio
(number of maternal deaths per year * 100,000)/(# live births per year)
Maternal mortality rate
(# maternal deaths per year * 100,000)/(# of women at reproductive age)
Cause specific death rate
(deaths attributed to cause C)/(population) * 100,000
ALSO = sum of all cause death rate and crude death rate
Age Specific Fertility Rate
(Ba/Wa) * 1000
Ba = # births to women of age group a Wa = # women of age group a
Total fertility rate
= sum of ASFR * number of years in each age group
ex: 15-19 = 5 years –> multiply by 5
number of maternal deaths
births * maternal mortality ratio
Probability of contraception failure
P(failure in n years/mos/weeks) = 1 - P(no failure in n yrs/mos/weeks)
= 1 - [1 - P(failure in 1 time pd)]^n
