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Table 1 Time to decline (t*) values, in single years, by level and mean age of fertility

From: The time to decline: tracing a cohort’s descendants in below replacement populations

NRR μ = 25 years μ = 29 years μ = 33 years
e(0) = 75 years e(0) = 85 years e(0) = 75 years e(0) = 85 years e(0) = 75 years e(0) = 85 years
Projection Projection Eq. (14) Projection Projection Eq. (14) Projection Projection Eq. (14)
1.00
0.95 571.5 637.7 637.7 573.1 649.1 649.0 564.0 649.6 649.6
0.90 297.2 332.3 332.2 297.9 337.6 337.6 293.3 337.8 337.8
0.85 206.4 230.5 230.1 206.3 234.1 234.1 203.9 233.9 234.1
0.80 161.8 179.7 180.4 160.8 182.6 182.6 158.5 182.9 182.4
0.75 135.5 151.4 150.4 133.4 152.0 151.9 134.6 151.3 151.6
0.70 117.7 130.2 130.6 116.4 132.1 131.6 110.2 127.1 131.2
0.65 99.2 112.5 116.7 101.4 114.7 117.3 103.9 116.7 116.8
0.60 95.6 106.6 106.4 96.4 108.0 106.7 97.8 110.8 106.1
0.55 91.8 102.7 98.6 75 102.7 98.7 75 85 98.0
0.50 75 85 92.6 75 85 92.4 75 85 91.6
  1. Note: The time to decline is the time point when the total number in the population is less than the size of the initial cohort. Mean age of fertility μ is calculated from Eq. (3)