. 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 3.

Contribution to changes in the life table entropy (H) due to changes 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
	Change in H		Overall cont		% cont		Change in H		Overall cont		% cont
	Observed	Predicted^a	$\frac{δ e^{†}}{e^{†}}$	$- \frac{δ e_{0}}{e_{0}}$	$\frac{δ e^{†}}{e^{†}}$	$\frac{δ e_{0}}{e_{0}}$	Observed	Predicted^a	$\frac{δ e^{†}}{e^{†}}$	$- \frac{δ e_{0}}{e_{0}}$	$\frac{δ e^{†}}{e^{†}}$	$\frac{δ e_{0}}{e_{0}}$
Argentina
1953–1965	−0.026	−0.028	−0.018	−0.010	65.2	34.8	−0.036	−0.035	−0.023	−0.012	65.5	34.5
1965–1975	−0.015	−0.016	−0.010	−0.006	63.6	36.4	−0.018	−0.017	−0.012	−0.005	69.1	30.9
1975–1985	−0.032	−0.033	−0.022	−0.010	68.2	31.8	−0.029	−0.029	−0.023	−0.006	77.9	22.1
1985–1996	−0.012	−0.011	−0.007	−0.005	59.9	40.1	−0.014	−0.014	−0.010	−0.004	72.3	27.7
1996–2005	−0.018	−0.017	−0.012	−0.005	70.3	29.7	−0.011	−0.011	−0.009	−0.002	77.7	22.3
Brazil
1985–1995	−0.038	−0.035	−0.018	−0.017	51.9	48.1	−0.039	−0.034	−0.019	−0.014	57.5	42.5
1995–2005	−0.033	−0.032	−0.020	−0.012	62.9	37.1	−0.028	−0.028	−0.020	−0.007	73.6	26.4
Chile
1956–1965	−0.058	−0.062	−0.033	−0.029	53.4	46.6	−0.066	−0.069	−0.039	−0.030	57.0	43.0
1965–1976	−0.087	−0.090	−0.049	−0.041	54.6	45.4	−0.088	−0.090	−0.058	−0.032	64.4	35.6
1976–1987	−0.058	−0.058	−0.037	−0.021	64.0	36.0	−0.056	−0.055	−0.039	−0.015	71.7	28.3
1987–1997	−0.031	−0.029	−0.019	−0.010	66.4	33.6	−0.025	−0.023	−0.017	−0.006	75.1	24.9
1997–2006	−0.019	−0.019	−0.014	−0.005	74.3	25.7	−0.015	−0.014	−0.011	−0.003	80.5	19.5
Colombia
1957–1968	−0.087	−0.090	−0.047	−0.043	51.9	48.1	−0.084	−0.087	−0.044	−0.043	50.6	49.4
1968–1979	−0.072	−0.075	−0.040	−0.035	53.6	46.4	−0.084	−0.085	−0.053	−0.032	62.2	37.8
1979–1989	−0.016	−0.016	−0.010	−0.006	61.4	38.6	−0.041	−0.041	−0.030	−0.011	72.4	27.6
1989–1999	−0.024	−0.022	−0.011	−0.010	52.7	47.3	−0.025	−0.022	−0.015	−0.008	66.5	33.5
1999–2008	−0.036	−0.035	−0.025	−0.010	70.4	29.6	−0.021	−0.021	−0.016	−0.005	76.6	23.4
Costa Rica
1956–1968	−0.060	−0.061	−0.038	−0.024	61.4	38.6	−0.067	−0.067	−0.043	−0.025	63.5	36.5
1968–1978	−0.068	−0.068	−0.044	−0.024	64.5	35.5	−0.073	−0.072	−0.049	−0.023	67.7	32.3
1978–1992	−0.037	−0.037	−0.028	−0.009	76.2	23.8	−0.035	−0.035	−0.028	−0.007	79.2	20.8
1992–2005	−0.011	−0.010	−0.006	−0.003	65.0	35.0	−0.013	−0.013	−0.010	−0.003	74.7	25.3
Cuba
1961–1975	−0.050	−0.048	−0.031	−0.017	64.2	35.8	−0.054	−0.051	−0.036	−0.016	69.6	30.4
1975–1991	−0.025	−0.025	−0.021	−0.004	82.6	17.4	−0.027	−0.028	−0.023	−0.004	83.7	16.3
1991–2006	−0.017	−0.018	−0.013	−0.005	71.6	28.4	−0.018	−0.016	−0.011	−0.005	71.4	28.6
Dominican Republic
1955–1965	−0.086	−0.089	−0.033	−0.056	37.4	62.6	−0.091	−0.093	−0.036	−0.057	39.0	61.0
1965–1975	−0.058	−0.058	−0.034	−0.024	58.8	41.2	−0.060	−0.061	−0.036	−0.025	58.9	41.1
1975–1987	−0.057	−0.057	−0.033	−0.024	57.7	42.3	−0.074	−0.073	−0.043	−0.025	59.4	40.6
1987–1997	−0.032	−0.030	−0.016	−0.014	53.4	46.6	−0.038	−0.036	−0.024	−0.013	65.6	34.4
1997–2006	−0.026	−0.027	−0.021	−0.006	77.5	22.5	−0.021	−0.021	−0.018	−0.004	82.8	17.2
Ecuador
1956–1968	−0.117	−0.121	−0.040	−0.081	32.9	67.1	−0.113	−0.116	−0.048	−0.067	41.9	58.1
1968–1978	−0.065	−0.066	−0.034	−0.032	51.3	48.7	−0.078	−0.079	−0.041	−0.038	52.5	47.5
1978–1986	−0.064	−0.065	−0.041	−0.025	62.3	37.7	−0.067	−0.068	−0.046	−0.022	67.1	32.9
1986–1995	−0.032	−0.031	−0.019	−0.012	61.9	38.1	−0.039	−0.039	−0.027	−0.012	68.9	31.1
1995–2005	−0.037	−0.036	−0.024	−0.012	66.4	33.6	−0.035	−0.035	−0.026	−0.009	74.8	25.2
El Salvador
1955–1966	−0.113	−0.117	−0.033	−0.084	28.4	71.6	−0.120	−0.123	−0.042	−0.082	33.8	66.2
1966–1981	−0.046	−0.047	−0.024	−0.023	51.2	48.8	−0.098	−0.097	−0.046	−0.051	47.0	53.0
1981–1999	−0.111	−0.113	−0.057	−0.056	50.5	49.5	−0.106	−0.109	−0.071	−0.038	64.8	35.2
1999–2008	−0.023	−0.023	−0.016	−0.007	68.1	31.9	−0.022	−0.022	−0.017	−0.004	79.9	20.1
Guatemala
1957–1968	−0.083	−0.086	−0.030	−0.056	35.2	64.8	−0.098	−0.099	−0.022	−0.077	22.3	77.7
1968–1977	−0.067	−0.069	−0.022	−0.047	32.4	67.6	−0.084	−0.085	−0.027	−0.057	32.4	67.6
1977–1987	−0.077	−0.081	−0.039	−0.042	48.5	51.5	−0.089	−0.092	−0.048	−0.044	51.8	48.2
1987–1998	−0.065	−0.063	−0.029	−0.034	46.2	53.8	−0.076	−0.074	−0.043	−0.031	58.6	41.4
1998–2005	−0.037	−0.037	−0.024	−0.013	63.9	36.1	−0.029	−0.029	−0.021	−0.008	74.0	26.0
Honduras
1955–1967	−0.160	−0.163	−0.021	−0.142	12.9	87.1	−0.169	−0.163	−0.006	−0.157	3.6	96.4
1967–1981	−0.155	−0.150	−0.034	−0.116	22.6	77.4	−0.164	−0.156	−0.047	−0.108	30.3	69.7
1981–1989	−0.055	−0.053	−0.029	−0.024	54.2	45.8	−0.055	−0.053	−0.032	−0.021	60.0	40.0
Mexico
1955–1965	−0.091	−0.096	−0.041	−0.055	42.7	57.3	−0.105	−0.104	−0.041	−0.063	39.5	60.5
1965–1975	−0.059	−0.058	−0.022	−0.035	38.9	61.1	−0.061	−0.060	−0.033	−0.027	55.1	44.9
1975–1985	−0.063	−0.063	−0.041	−0.022	64.6	35.4	−0.065	−0.066	−0.046	−0.020	70.1	29.9
1985–1995	−0.040	−0.040	−0.027	−0.014	66.0	34.0	−0.033	−0.034	−0.025	−0.009	74.2	25.8
1995–2005	−0.035	−0.035	−0.026	−0.010	72.4	27.6	−0.026	−0.026	−0.021	−0.005	80.6	19.4
Nicaragua
1956–1967	−0.102	−0.107	−0.021	−0.086	19.8	80.2	−0.094	−0.099	−0.035	−0.064	35.2	64.8
1967–1983	−0.127	−0.130	−0.048	−0.082	37.0	63.0	−0.152	−0.153	−0.067	−0.086	43.9	56.1
1983–2000	‒0.099	−0.102	−0.061	−0.041	59.7	40.3	−0.074	−0.076	−0.052	−0.023	69.1	30.9
2000–2007	−0.021	−0.021	−0.017	−0.004	80.2	19.8	−0.020	−0.020	−0.017	−0.004	82.5	17.5
Panama
1955–1965	−0.057	−0.057	−0.032	−0.025	56.8	43.2	−0.067	−0.067	−0.039	−0.028	58.3	41.7
1965–1975	−0.045	−0.044	−0.027	−0.017	60.7	39.3	−0.049	−0.049	−0.032	−0.017	65.1	34.9
1975–1985	−0.039	−0.036	−0.021	−0.015	58.2	41.8	−0.047	−0.044	−0.029	−0.015	65.5	34.5
1985–1995	−0.014	−0.014	−0.010	−0.004	73.0	27.0	−0.019	−0.018	−0.014	−0.004	76.5	23.5
Paraguay
1956–1967	−0.035	−0.036	−0.023	−0.014	62.0	38.0	−0.043	−0.043	−0.029	−0.014	67.0	33.0
1967–1977	−0.017	−0.018	−0.012	−0.006	64.8	35.2	−0.022	−0.022	−0.014	−0.008	64.1	35.9
1977–1987	−0.033	−0.033	−0.023	−0.010	71.1	28.9	−0.037	−0.038	−0.028	−0.010	73.5	26.5
1987–1997	−0.003	−0.004	−0.003	−0.001	78.2	21.8	−0.012	−0.012	−0.009	−0.003	75.5	24.5
1997–2006	−0.032	−0.030	−0.021	−0.010	67.8	32.2	−0.030	−0.030	−0.022	−0.008	74.6	25.4
Peru
1966–1976	−0.108	−0.110	−0.035	−0.075	31.9	68.1	−0.113	−0.114	−0.046	−0.068	40.7	59.3
1976–1987	−0.078	−0.079	−0.044	−0.035	55.3	44.7	−0.081	−0.082	−0.049	−0.034	58.9	41.1
1987–2000	−0.070	−0.071	−0.046	−0.025	64.9	35.1	−0.074	−0.075	−0.051	−0.024	68.3	31.7
2000–2008	−0.036	−0.036	−0.026	−0.010	72.9	27.1	−0.031	−0.031	−0.025	−0.007	78.7	21.3
Uruguay
1969–1980	−0.023	−0.024	−0.015	−0.009	63.6	36.4	−0.026	−0.025	−0.017	−0.007	70.2	29.8
1980–1990	−0.022	−0.022	−0.016	−0.006	70.7	29.3	−0.021	−0.020	−0.015	−0.005	74.6	25.4
1990–2000	−0.010	−0.010	−0.006	−0.004	60.7	39.3	−0.011	−0.010	−0.008	−0.003	74.1	25.9
2000–2007	−0.012	−0.011	−0.008	−0.004	68.1	31.9	−0.008	−0.008	−0.007	−0.002	79.3	20.7
Venezuela
1955–1966	−0.076	−0.079	−0.046	−0.033	58.2	41.8	−0.084	−0.086	−0.053	−0.033	61.3	38.7
1966–1976	−0.023	−0.023	−0.017	−0.006	74.6	25.4	−0.038	−0.037	−0.026	−0.012	68.4	31.6
1976–1985	−0.030	−0.031	−0.019	−0.012	61.5	38.5	−0.031	−0.031	−0.023	−0.009	72.5	27.5
1985–1995	−0.011	−0.010	−0.005	−0.005	49.3	50.7	−0.017	−0.016	−0.012	−0.004	72.4	27.6
1995–2006	−0.005	−0.004	−0.002	−0.002	43.8	56.2	−0.016	−0.016	−0.012	−0.004	73.4	26.6

Predicted values are estimated as: $δ H [S (x, t_{1})] \approx H [S (x, t_{1})] (\frac{δ e^{†} [S (x)]}{e^{†} (0, t_{1})} - \frac{δ e_{0} [S (x)]}{e (0, t_{1})})$ (see Appendix F.2); ‘cont’, contribution.

Source: Authors’ calculations using data from LAMBdA (Palloni et al., 2014) and formulas from Proposition 1.