The concept of the Equivalent Length of Life for quantifying differences in age-at-death distributions across countries

Genus

Journal of Population Sciences

Table 2 Contribution (in percent) to the variance in the ELL summary measures e _C and e _A across 35 developed countries of the different components constituting the summary measures (dispersion SD and skewness A’, and their interrelations), by sex, and for selected years from 1970 to 2010

Statistic	1970	1980	1990	2000	2005	2010^a
	Women
	Contribution to the variance in e _C
S ²(e ₁₀)	0.70	0.76	0.75	0.69	0.65	0.65
S ²(SD)	0.21	0.10	0.05	0.05	0.05	0.06
−2cov (e ₁₀,SD)	0.09	0.14	0.20	0.27	0.30	0.29
	Contribution to the variance in e _A
S ²(e ₁₀)	0.66	0.74	0.79	0.69	0.63	0.63
S ²(SD)	0.20	0.10	0.05	0.05	0.05	0.05
S ²(A’)	0.02	0.02	0.01	0.01	0.00	0.01
−2cov (e ₁₀,SD)	0.08	0.13	0.21	0.26	0.29	0.28
−2cov (SD,A’)	0.10	0.04	0.00	0.02	0.02	0.03
2cov (e ₁₀,A’)	−0.02	−0.02	−0.06	−0.01	0.01	0.01
	Men
	Contribution to the variance in e _C
S ²(e ₁₀)	0.53	0.57	0.66	0.69	0.69	0.68
S ²(SD)	0.16	0.10	0.06	0.04	0.04	0.04
−2cov (e ₁₀,SD)	0.31	0.33	0.28	0.28	0.27	0.28
	Contribution to the variance in e _A
S ²(e ₁₀)	0.49	0.59	0.73	0.83	0.85	0.82
S ²(SD)	0.15	0.10	0.07	0.05	0.04	0.05
S ²(A’)	0.01	0.01	0.01	0.02	0.02	0.01
−2cov (e ₁₀,SD)	0.29	0.34	0.31	0.33	0.33	0.34
−2cov (SD,A’)	0.12	0.02	0.00	−0.03	−0.04	−0.04
2cov (e ₁₀,A’)	0.01	−0.05	−0.12	−0.20	−0.21	−0.18

Notes: the table shows variance in statistics of the distribution of life-table ages at death above age 10; e ₁₀ is the life expectancy at age 10; e _C is the Equivalent Length of Life with e ₁₀ adjusted for dispersion of ages at death above age 10; e _A is the Equivalent Length of Life with e ₁₀ adjusted for dispersion and skewness of ages at death above age 10; SD is the standard deviation; A’ is the skewness statistic; cov is covariance. Source: Authors’ estimations based on Human Mortality Database (2014)
^aOr latest available year