Limits to Human Life Span Through Extreme Value Theory

Figures & data

Table 1 Women.

Age at death
113–116	0	0	0	2	0	0
110–113	2	2	3	2	6	3
107–110	20	17	25	27	28	53
104–107	97	148	178	198	286	393
101–104	604	945	1038	1251	1506	1961
98–101	2383	3313	3992	4650	5487	6914
95–98	6914	9122	11,013	12,560	13,924	16,635
92–95	11,647	14,538	17,623	19,210	20,819	24,730
Year of death	1986–1990	1991–1995	1996–2000	2001–2005	2006–2010	2011–2015

A cell contains the number of women in a certain age category who died in a given 5-year period.

Table 2 Men.

Age at death
110–113	0	0	0	1	0	1
107–110	6	8	6	7	3	7
104–107	47	50	32	38	31	57
101–104	246	265	254	247	270	359
98–101	1022	1154	1040	1107	1196	1554
95–98	3060	3196	3275	3349	3752	4793
92–95	5369	5684	5914	6374	7268	9634
Year of death	1986–1990	1991–1995	1996–2000	2001–2005	2006–2010	2011-2015

A cell contains the number of men in a certain age category who died in a given 5-year period.

Fig. 1 Generalized Pareto Q–Q plots for women and men for the year 2015.

Fig. 2 Estimated extreme values indices for the years of death $1985+j,j=1,\dots ,30$.

Fig. 3 Estimated maximum human life span for the years of death $1985+j,j=1,\dots ,30$.

Fig. 4 Estimated scale ${\widehat{a}}_j(\frac{n}{k})$ shows downward trend over the 30 years.