Life Table for American Women

Data from Vital Statistics of the United States 1987

age
(in years)
x
age-specific
survivorship
lx
age-specifc
fecundity*
mx


lxmx


xlxmx
0-41.00000 0
5-90.989000
10-140.9880.00330.0033 0.041
15-190.9870.12780.1261 2.207
20-240.9850.27230.2682 6.035
25-290.9820.27700.2720 7.480
30-340.9790.17830.1746 5.675
35-390.9750.06550.0639 2.396
40-440.9690.01100.0107 0.458
45-490.9610.00050.0005 0.024
50-0.94800 0
Sums0.9193 24.316

*annual birth rates X 5 (because age-classes span 5 years) / 2 (because only half of all births are females) -- this correction is necessary because Vital Statistics of U. S. presents annual birth rates for females in 5-year age-classes!

What proportion of women survive from birth to age 45?   96%

What is the survival of women from age 20 to age 25?   0.982/0.985 = 0.997 = 99.7%

What is the mortality of women between age 20 and age 25?   1 - 0.997 = 0.003 = 0.3%

How many babies does an average (surviving) woman have in her twenties?   (0.2773 + 0.2770) X 2 = 1.1

In what age-class is fecundity highest?   25-29

What is R0 for this population?   0.919

What is the generation time?   24.316 / 0.9193 = 26.5 years

What is the estimated proportionate annual change in numbers of this population?   = R01/T = 0.997

Why is this estimate of lower than 1.017 (the proportionate annual increase in the U.S. population that we used earlier) ??

Life Table for Yanomamo Women of Southern Venezuela

Data from Neel et al. in Population Structure and Human Variation (see reading list)

age
(in years)
x
age-specific
survivorship
lx
age-specifc
fecundity*
mx


lxmx


xlxmx
0-41.00000 0
5-90.62000 0
10-140.55000 0
15-190.5000.4060.203 3.55
20-240.4300.4790.206 4.64
25-290.3600.9950.358 9.85
30-340.3000.9110.273 8.87
35-390.2600.6260.163 6.11
40-440.2100.0880.018 0.77
45-490.18000 0
50-0.15000 0
Sums1.221 33.79

*annual birth rates (based on pregnancy rates from palpation of abdomen) converted to female births per age-class (in this case, adjusted for mortality during the age-class); annual birth rates based on palpation give nearly accurate overall birth rate (0.25 births/female aged 15-44/year)

What proportion of women live to age 45?   18%

What is the survival of women from age 20 to age 25?   0.36/0.43 = 0.837 = 83.7%

What is the mortality of women between age 20 and age 25?   1 - 0.837 = 0.163 = 16.3%

How many babies does an average (surviving) woman have in her twenties?   (0.479 + 0.995) X 2 = 2.9

In what age-class is fecundity highest?   25-29

What is R0 for this population?   1.22

What is the generation time?   33.79/1.221 = 27.7

What is the proportionate annual change in numbers of this population?   = R01/T = 1.01