Skip to main content

Table 5 Validation of the two-parameter model’s capacity to complete age patterns of mortalitya

From: A two-parameter hazard function to describe age patterns of mortality in ancient Northwestern Europe

HMD life table Parameters Complete
pattern
Pattern made incomplete by removing 4 consecutive age groups
0−14 15−34 35−54 55−74 75−94 95+
Belgium 1841 β 0.099 0.098 0.099 0.099 0.099 0.099 0.099
θ – 5.39 – 5.45 – 5.35 – 5.35 – 5.38 – 5.38 – 5.39
Belgium 1978 β 0.113 0.113 0.113 0.113 0.114 0.111 0.113
θ – 7.45 – 7.36 – 7.22 – 7.46 – 7.57 – 7.71 – 7.45
Danmark 1929 β 0.100 0.100 0.100 0.100 0.097 0.103 0.100
θ – 6.93 – 7.14 – 7.00 – 6.88 – 7.12 – 6.74 – 6.93
England &Wales 1887 β 0.090 0.090 0.091 0.090 0.088 0.090 0.090
θ – 5.98 – 5.92 – 5.87 – 6.13 – 6.05 – 5.98 – 5.98
France 1821 β 0.097 0.096 0.098 0.097 0.098 0.097 0.097
θ – 5.46 – 5.55 – 5.34 – 5.44 – 5.45 – 5.46 – 5.46
France 1953 β 0.103 0.103 0.104 0.103 0.100 0.105 0.103
θ – 7.37 – 7.41 – 7.24 – 7.51 – 7.61 – 7.17 – 7.37
Holland 1920 β 0.100 0.100 0.100 0.100 0.098 0.101 0.100
θ – 6.41 – 6.56 – 6.44 – 6.34 – 6.50 – 6.33 – 6.41
Norway 1883 β 0.107 0.110 0.108 0.107 0.102 0.104 0.107
θ – 5.53 – 5.60 – 5.45 – 5.48 – 5.55 – 5.57 – 5.53
Sweden 1751 β 0.094 0.093 0.096 0.094 0.096 0.093 0.094
θ – 5.43 – 5.50 – 5.24 – 5.46 – 5.38 – 5.45 – 5.43
Sweden 1883 β 0.100 0.102 0.101 0.100 0.097 0.100 0.100
θ – 5.73 – 5.92 – 5.62 – 5.66 – 5.84 – 5.74 – 5.73
Sweden 2014 β 0.161 0.161 0.162 0.161 0.162 0.145 0.161
θ – 7.02 – 6.96 – 6.68 – 6.84 – 7.66 – 7.74 – 7.03
  1. Note: aOur 2-parameter model: see equations 11a−c.
  2. Source data: Human Mortality Database (2017, 2017, 2018)