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. Author manuscript; available in PMC: 2019 Feb 9.
Published in final edited form as: Theor Popul Biol. 2015 Jul 15;104:26–45. doi: 10.1016/j.tpb.2015.07.001

Table 4.

Contribution to changes in the life table entropy (H) due to changes in early (premature) and late (older) deaths in life expectancy at birth (e0) and in life expectancy lost due to death (e) for males and females for 18 countries in Latin America.

Period Males
Females
Overall contribution
% contribution
Overall contribution
% contribution
Pred δe/e
δe0/e0
δe/e
δe0/e0
Pred δe/e
δe0/e0
δe/e
δe0/e0
Δ in Ha Early Late Early Late Early Late Early Late Δ in Ha Early Late Early Late Early Late Early Late
Argentina
1953–1965 −0.028 −0.018 0.000 −0.006 −0.004 64.4 0.9 20.5 14.3 −0.035 −0.023 0.001 −0.006 −0.005 67.5 −2.0 18.7 15.8
1965–1975 −0.016 −0.012 0.002 −0.003 −0.002 78.9 −15.3 22.0 14.4 −0.017 −0.014 0.002 −0.003 −0.002 83.1 −14.0 18.7 12.2
1975–1985 −0.033 −0.021 −0.002 −0.005 −0.005 62.8 5.4 16.5 15.3 −0.029 −0.021 −0.002 −0.004 −0.002 70.1 7.8 14.3 7.8
1985–1996 −0.011 −0.008 0.001 −0.002 −0.003 69.9 −10.0 15.5 24.5 −0.014 −0.011 0.001 −0.002 −0.002 76.2 −4.0 13.0 14.8
1996–2005 −0.017 −0.011 −0.001 −0.002 −0.003 63.7 6.6 13.4 16.3 −0.011 −0.009 0.001 −0.001 −0.001 82.8 −5.0 12.6 9.7
Brazil
1985–1995 −0.035 −0.023 0.005 −0.007 −0.010 65.7 −13.9 21.1 27.0 −0.034 −0.027 0.008 −0.007 −0.008 79.7 −22.2 19.7 22.7
1995–2005 −0.032 −0.020 0.000 −0.006 −0.006 63.4 −0.4 17.3 19.8 −0.028 −0.021 0.000 −0.004 −0.003 74.7 −1.2 14.7 11.7
Chile
1956–1965 −0.062 −0.027 −0.006 −0.014 −0.015 44.4 9.0 22.7 23.9 −0.069 −0.032 −0.007 −0.014 −0.015 46.2 10.8 20.8 22.2
1965–1976 −0.090 −0.044 −0.005 −0.018 −0.022 49.6 5.0 20.6 24.8 −0.090 −0.050 −0.007 −0.018 −0.014 56.1 8.3 19.6 16.0
1976–1987 −0.058 −0.034 −0.003 −0.010 −0.011 58.2 5.8 17.1 18.9 −0.055 −0.036 −0.003 −0.008 −0.007 65.9 5.8 15.2 13.0
1987–1997 −0.029 −0.018 −0.002 −0.004 −0.006 61.1 5.2 13.6 20.1 −0.023 −0.017 0.000 −0.003 −0.003 75.3 −0.2 12.3 12.6
1997–2006 −0.019 −0.012 −0.002 −0.002 −0.003 63.0 11.3 11.8 13.9 −0.014 −0.010 −0.001 −0.001 −0.001 72.5 8.0 9.9 9.6
Colombia
1957–1968 −0.090 −0.030 −0.017 −0.016 −0.027 33.1 18.9 18.2 29.9 −0.087 −0.034 −0.010 −0.017 −0.026 38.7 11.9 19.2 30.2
1968–1979 −0.075 −0.039 −0.001 −0.016 −0.019 52.2 1.4 21.5 24.9 −0.085 −0.046 −0.007 −0.017 −0.015 53.9 8.3 19.7 18.0
1979–1989 −0.016 −0.013 0.003 −0.004 −0.003 76.7 −15.3 22.2 16.4 −0.041 −0.028 −0.002 −0.007 −0.005 66.9 5.5 16.6 11.0
1989–1999 −0.022 −0.011 0.000 −0.003 −0.007 52.3 0.3 15.2 32.1 −0.022 −0.014 −0.001 −0.003 −0.005 63.8 2.7 12.9 20.6
1999–2008 −0.035 −0.019 −0.005 −0.005 −0.005 55.0 15.4 14.8 14.8 −0.021 −0.013 −0.003 −0.002 −0.003 62.6 14.0 10.9 12.5
Costa Rica
1956–1968 −0.061 −0.031 −0.007 −0.013 −0.011 50.6 10.8 20.4 18.2 −0.067 −0.035 −0.008 −0.013 −0.012 52.0 11.5 19.1 17.4
1968–1978 −0.068 −0.043 −0.001 −0.013 −0.010 63.7 0.8 20.0 15.5 −0.072 −0.047 −0.002 −0.013 −0.011 65.0 2.7 17.7 14.6
1978–1992 −0.037 −0.025 −0.003 −0.006 −0.003 67.2 8.9 15.0 CO
CO*
−0.035 −0.025 −0.002 −0.005 −0.003 72.7 6.5 13.0 7.9
1992–2005 −0.010 −0.008 0.001 −0.001 −0.002 80.0 −15.0 14.3 20.7 −0.013 −0.010 0.001 −0.001 −0.002 80.1 −5.4 11.1 14.2
Cuba
1961–1975 −0.048 −0.030 −0.001 −0.008 −0.009 62.5 1.6 16.9 19.0 −0.051 −0.032 −0.004 −0.008 −0.008 61.7 7.9 15.2 15.2
1975–1991 −0.025 −0.017 −0.004 −0.003 −0.001 66.7 15.9 13.4 4.0 −0.028 −0.020 −0.003 −0.004 −0.001 72.5 11.2 12.7 3.6
1991–2006 −0.018 −0.015 0.002 −0.003 −0.002 85.5 −13.9 15.1 13.3 −0.016 −0.015 0.004 −0.002 −0.002 97.0 −25.6 14.2 14.4
Dominican Republic
1955–1965 −0.089 −0.022 −0.011 −0.014 −0.042 25.1 12.3 15.6 47.0 −0.093 −0.025 −0.011 −0.015 −0.042 27.2 11.8 16.0 45.0
1965–1975 −0.058 −0.025 −0.009 −0.012 −0.012 43.3 15.6 21.0 20.2 −0.061 −0.028 −0.008 −0.013 −0.013 45.8 13.1 20.5 20.6
1975–1987 −0.057 −0.031 −0.002 −0.012 −0.012 53.9 3.7 21.1 21.2 −0.073 −0.038 −0.005 −0.014 −0.016 52.2 7.2 18.7 21.9
1987–1997 −0.030 −0.020 0.003 −0.006 −0.008 64.8 −11.4 20.1 26.5 −0.036 −0.024 0.000 −0.006 −0.006 66.7 −1.1 17.1 17.3
1997–2006 −0.027 −0.017 −0.004 −0.004 −0.002 62.0 15.5 16.7 5.8 −0.021 −0.016 −0.002 −0.003 0.000 73.1 9.6 15.0 2.2
Ecuador
1956–1968 −0.121 −0.022 −0.018 −0.015 −0.066 18.1 14.8 12.7 54.4 −0.116 −0.026 −0.022 −0.017 −0.050 22.7 19.2 14.8 43.3
1968–1978 −0.066 −0.030 −0.004 −0.015 −0.017 45.0 6.3 23.0 25.7 −0.079 −0.034 −0.007 −0.016 −0.021 43.5 9.0 20.5 27.0
1978–1986 −0.065 −0.033 −0.008 −0.013 −0.011 50.7 11.6 20.5 17.2 −0.068 −0.039 −0.007 −0.014 −0.009 57.4 9.7 20.2 12.8
1986–1995 −0.031 −0.021 0.002 −0.007 −0.005 68.0 −6.1 20.9 17.2 −0.039 −0.027 0.000 −0.007 −0.005 69.7 −0.7 17.8 13.3
1995–2005 −0.036 −0.022 −0.002 −0.006 −0.006 60.5 5.9 16.4 17.2 −0.035 −0.025 −0.002 −0.005 −0.004 70.5 4.3 14.6 10.6
El Salvador
1955–1966 −0.117 −0.018 −0.016 −0.013 −0.071 15.0 13.5 11.3 60.3 −0.123 −0.024 −0.018 −0.017 −0.065 19.5 14.3 13.4 52.8
1966–1981 −0.047 −0.028 0.004 −0.015 −0.008 58.7 −7.6 32.8 16.0 −0.097 −0.041 −0.004 −0.020 −0.031 42.3 4.6 20.9 32.1
1981–1999 −0.113 −0.049 −0.008 −0.023 −0.033 43.0 7.5 20.3 29.2 −0.109 −0.064 −0.007 −0.022 −0.016 58.4 6.4 20.0 15.2
1999–2008 −0.023 −0.013 −0.003 −0.004 −0.003 54.2 13.9 17.1 14.8 −0.022 −0.015 −0.002 −0.003 −0.001 70.9 8.9 14.1 6.1
Guatemala
1957–1968 −0.086 −0.010 −0.021 −0.008 −0.048 11.2 24.0 9.0 55.8 −0.099 −0.011 −0.011 −0.009 −0.068 11.5 10.8 8.8 68.8
1968–1977 −0.069 −0.019 −0.003 −0.013 −0.034 27.4 5.0 18.2 49.4 −0.085 −0.023 −0.005 −0.014 −0.043 26.5 5.8 16.6 51.0
1977–1987 −0.081 −0.031 −0.008 −0.017 −0.025 38.6 9.9 21.2 30.3 −0.092 −0.039 −0.009 −0.019 −0.025 42.1 9.7 20.7 27.5
1987–1998 −0.063 −0.032 0.003 −0.014 −0.020 51.4 −5.3 21.7 32.1 −0.074 −0.042 −0.002 −0.015 −0.016 56.4 2.2 20.1 21.3
1998–2005 −0.037 −0.016 −0.008 −0.005 −0.008 43.2 20.7 14.7 21.4 −0.029 −0.017 −0.004 −0.004 −0.003 60.3 13.7 15.3 10.8
Honduras
1955–1967 −0.163 −0.009 −0.012 −0.008 −0.134 5.4 7.5 4.6 82.4 −0.163 −0.012 0.006 −0.010 −0.147 7.3 −3.7 5.9 90.5
1967–1981 −0.150 −0.045 0.011 −0.028 −0.088 30.1 −7.5 18.8 58.6 −0.156 −0.054 0.007 −0.031 −0.078 34.8 −4.5 19.8 49.9
1981–1989 −0.053 −0.029 0.000 −0.011 −0.013 54.1 0.1 20.6 25.2 −0.053 −0.032 0.000 −0.010 −0.011 60.8 −0.8 19.3 20.7
Mexico
1955–1965 −0.096 −0.027 −0.013 −0.017 −0.038 28.6 14.0 17.9 39.4 −0.104 −0.035 −0.006 −0.020 −0.043 33.7 5.8 19.2 41.3
1965–1975 −0.058 −0.026 0.004 −0.012 −0.023 45.2 −6.4 21.6 39.6 −0.060 −0.031 −0.002 −0.013 −0.014 52.2 2.9 21.1 23.8
1975–1985 −0.063 −0.031 −0.010 −0.012 −0.010 48.9 15.7 18.9 16.5 −0.066 −0.038 −0.009 −0.012 −0.008 57.2 12.9 18.0 11.9
1985–1995 −0.040 −0.024 −0.003 −0.007 −0.007 58.6 7.5 17.7 16.2 −0.034 −0.023 −0.001 −0.005 −0.003 69.9 4.3 15.8 10.0
1995–2005 −0.035 −0.023 −0.003 −0.006 −0.004 64.3 8.1 16.0 11.6 −0.026 −0.019 −0.002 −0.003 −0.002 73.6 7.0 13.4 6.0
Nicaragua
1956–1967 −0.107 −0.016 −0.005 −0.012 −0.074 14.8 4.9 11.6 68.6 −0.099 −0.021 −0.014 −0.015 −0.049 21.4 13.8 14.9 49.9
1967–1983 −0.130 −0.041 −0.007 −0.025 −0.057 31.6 5.4 19.1 43.9 −0.153 −0.054 −0.013 −0.029 −0.056 35.5 8.4 19.2 36.8
1983–2000 −0.102 −0.049 −0.012 −0.020 −0.021 47.8 11.9 19.7 20.6 −0.076 −0.045 −0.007 −0.014 −0.009 59.7 9.4 18.6 12.4
2000–2007 −0.021 −0.013 −0.004 −0.003 −0.001 62.5 17.7 16.7 3.1 −0.020 −0.015 −0.002 −0.003 0.000 71.9 10.5 15.2 2.4
Panama
1955–1965 −0.057 −0.027 −0.006 −0.011 −0.014 47.0 9.8 19.1 24.1 −0.067 −0.029 −0.010 −0.012 −0.016 43.2 15.0 17.3 24.4
1965–1975 −0.044 −0.027 0.000 −0.009 −0.009 61.1 −0.4 19.7 19.6 −0.049 −0.030 −0.002 −0.009 −0.008 60.5 4.6 18.5 16.5
1975–1985 −0.036 −0.024 0.003 −0.006 −0.009 67.4 −9.3 17.7 24.1 −0.044 −0.028 −0.001 −0.007 −0.008 64.2 1.3 15.4 19.0
1985–1995 −0.014 −0.010 0.000 −0.002 −0.002 70.5 2.5 15.2 11.8 −0.018 −0.014 0.000 −0.003 −0.002 76.9 −0.4 14.1 9.5
Paraguay
1956–1967 −0.036 −0.019 −0.004 −0.007 −0.007 51.7 10.3 19.7 18.3 −0.043 −0.020 −0.008 −0.007 −0.007 47.6 19.4 17.5 15.6
1967–1977 −0.018 −0.013 0.001 −0.004 −0.002 69.6 −4.8 22.8 12.4 −0.022 −0.014 0.000 −0.004 −0.004 64.5 −0.4 19.9 16.0
1977–1987 −0.033 −0.019 −0.004 −0.006 −0.004 58.7 12.4 17.8 11.2 −0.038 −0.022 −0.005 −0.006 −0.004 59.2 14.3 16.4 10.1
1987–1997 −0.004 −0.004 0.001 −0.001 0.000 92.5 −14.2 21.7 0.0 −0.012 −0.010 0.001 −0.002 −0.001 80.9 −5.4 18.0 6.5
1997–2006 −0.030 −0.017 −0.004 −0.004 −0.005 56.2 11.7 14.4 17.7 −0.030 −0.018 −0.004 −0.004 −0.004 61.4 13.2 13.1 12.3
Peru
1966–1976 −0.110 −0.029 −0.006 −0.019 −0.056 26.6 5.4 17.1 51.0 −0.114 −0.032 −0.014 −0.019 −0.048 28.2 12.5 17.0 42.3
1976–1987 −0.079 −0.035 −0.008 −0.016 −0.019 44.7 10.6 20.9 23.8 −0.082 −0.040 −0.009 −0.017 −0.017 48.3 10.6 20.6 20.5
1987–2000 −0.071 −0.041 −0.006 −0.014 −0.011 57.0 7.9 19.8 15.2 −0.075 −0.046 −0.005 −0.014 −0.010 61.9 6.4 18.9 12.7
2000–2008 −0.036 −0.023 −0.003 −0.006 −0.004 63.6 9.3 16.1 11.0 −0.031 −0.022 −0.003 −0.005 −0.002 70.5 8.2 14.6 6.7
Uruguay
1969–1980 −0.024 −0.016 0.001 −0.004 −0.005 67.3 −3.7 17.6 18.8 −0.025 −0.017 0.000 −0.004 −0.004 70.3 −0.2 14.9 14.9
1980–1990 −0.022 −0.015 −0.001 −0.003 −0.003 66.1 4.6 15.4 13.9 −0.020 −0.016 0.000 −0.003 −0.002 75.9 −1.3 13.7 11.7
1990–2000 −0.010 −0.008 0.002 −0.002 −0.002 82.4 −21.7 16.9 22.4 −0.010 −0.009 0.001 −0.001 −0.001 87.1 −13.0 13.5 12.4
2000–2007 −0.011 −0.007 −0.001 −0.001 −0.002 58.1 10.0 11.5 20.4 −0.008 −0.006 0.000 −0.001 −0.001 73.3 6.0 10.6 10.1
Venezuela
1955–1966 −0.079 −0.039 −0.008 −0.017 −0.016 48.7 9.5 21.3 20.5 −0.086 −0.043 −0.010 −0.017 −0.016 50.1 11.2 20.2 18.5
1966–1976 −0.023 −0.014 −0.004 −0.004 −0.002 58.4 16.2 18.6 6.7 −0.037 −0.022 −0.004 −0.006 −0.006 58.2 10.1 16.5 15.1
1976–1985 −0.031 −0.020 0.001 −0.006 −0.006 63.6 −2.1 18.5 20.0 −0.031 −0.020 −0.002 −0.005 −0.004 65.0 7.5 15.1 12.3
1985–1995 −0.010 −0.006 0.001 −0.002 −0.003 63.2 −13.9 15.6 35.0 −0.016 −0.011 −0.001 −0.002 −0.002 66.2 6.2 12.9 14.7
1995–2006 −0.004 −0.001 0.000 0.000 −0.002 34.7 9.1 7.0 49.2 −0.016 −0.011 −0.001 −0.002 −0.002 68.1 5.3 12.2 14.4
a

Predicted change in H (Pred Δ in H) is estimated as: δH[S(x,t1)]H[S(x,t1)]{[δe[S(x|x<a)]e[S(x)]+δe0|S(x|x<a)]e0[S(x)]]+[δe[S(x|xa)]e[S(x)]+δe0[S(x|xa)]e0[S(x)]]}(see Appendix F.2); Δ, change. The age that separates premature from older deaths, a, is shown in the Appendix Table 2.

Source: Authors’ calculations using data from LAMBdA (Palloni et al., 2014) and Eqs. (3.1)-(3.5).