Calculate life table from mortality rates.
lt.RdCalculate life table from mortality rates.
Arguments
- mx
Death rate at age x.
- sage
Start age.
- age_width
Age groups width.
- sex
Gender for the life table, it could be "male","female" or "total".
Value
A data frame containing the following values.
- age
Start age in each age group.
- mx
Death rate at age x.
- qx
The probability that an individual of exact age x will die before exact age x+1.
- lx
Number of survivors to exact age x. The radix is 1.
- dx
The number of deaths between exact age x and x+1.
- Lx
Number of years lived between age x and x+1.
- Tx
Number of years lived after exact age x.
- ex
Remaining life expectancy at exact age x.
Examples
px <- c(20005, 86920, 102502, 151494, 182932, 203107, 240289, 247076, 199665,
163820, 145382, 86789, 69368, 51207, 39112, 20509, 12301, 6586, 1909)
dx <- c(156, 58, 47, 49, 48, 68, 120, 162, 160, 294, 417, 522, 546, 628,
891, 831, 926, 731, 269)
mx <- dx / px
lt(mx, sage = 0, age_width = 5, sex = "male")
#> age mx qx lx dx Lx Tx
#> 1 0 0.0077980505 0.007741661 1.0000000 0.007741661 0.9927687 75.668293
#> 2 1 0.0006672803 0.002664905 0.9922583 0.002644274 3.9627639 74.675524
#> 3 5 0.0004585276 0.002290013 0.9896141 0.002266229 4.9424048 70.712761
#> 4 10 0.0003234452 0.001615919 0.9873478 0.001595474 4.9327505 65.770356
#> 5 15 0.0002623926 0.001311103 0.9857524 0.001292423 4.9255308 60.837605
#> 6 20 0.0003347989 0.001672595 0.9844599 0.001646602 4.9181832 55.912075
#> 7 25 0.0004993986 0.002493880 0.9828133 0.002451018 4.9079391 50.993891
#> 8 30 0.0006556687 0.003272979 0.9803623 0.003208705 4.8937898 46.085952
#> 9 35 0.0008013422 0.003998700 0.9771536 0.003907345 4.8759997 41.192162
#> 10 40 0.0017946527 0.008933183 0.9732463 0.008694187 4.8444959 36.316163
#> 11 45 0.0028683056 0.014239420 0.9645521 0.013734663 4.7884238 31.471667
#> 12 50 0.0060145871 0.029627443 0.9508174 0.028170289 4.6836614 26.683243
#> 13 55 0.0078710645 0.038595846 0.9226471 0.035610347 4.5242098 21.999582
#> 14 60 0.0122639483 0.059495614 0.8870368 0.052774798 4.3032469 17.475372
#> 15 65 0.0227807323 0.107766180 0.8342620 0.089905227 3.9465469 13.172125
#> 16 70 0.0405187966 0.183959445 0.7443568 0.136931456 3.3794552 9.225578
#> 17 75 0.0752784326 0.316776136 0.6074253 0.192417840 2.5560819 5.846123
#> 18 80 0.1109930155 0.434420871 0.4150075 0.180287903 1.6243176 3.290041
#> 19 85 0.1409114720 1.000000000 0.2347196 0.234719559 1.6657236 1.665724
#> ex
#> 1 75.668293
#> 2 75.258148
#> 3 71.454886
#> 4 66.613156
#> 5 61.716926
#> 6 56.794667
#> 7 51.885632
#> 8 47.009102
#> 9 42.155258
#> 10 37.314464
#> 11 32.628271
#> 12 28.063477
#> 13 23.843982
#> 14 19.700842
#> 15 15.788955
#> 16 12.394028
#> 17 9.624431
#> 18 7.927667
#> 19 7.096654
mx <- c(0.01685, 0.00085, 0.00044, 0.00045, 0.00064, 0.00086, 0.00103,
0.00136, 0.00195, 0.00291, 0.00429, 0.00672, 0.00985, 0.01596,
0.02605, 0.04536, 0.07247, 0.12078, 0.17957, 0.25938, 0.25989)
lt(mx, sage = 0, age_width = 5, sex = "total")
#> age mx qx lx dx Lx Tx
#> 1 0 0.01685 0.016596965 1.00000000 0.016596965 0.98498311 72.42819568
#> 2 1 0.00085 0.003392934 0.98340303 0.003336622 3.92543737 71.44321257
#> 3 5 0.00044 0.002197583 0.98006641 0.002153777 4.89494762 67.51777520
#> 4 10 0.00045 0.002247472 0.97791264 0.002197831 4.88406860 62.62282758
#> 5 15 0.00064 0.003194888 0.97571481 0.003117300 4.87078078 57.73875898
#> 6 20 0.00086 0.004290775 0.97259751 0.004173197 4.85255453 52.86797820
#> 7 25 0.00103 0.005136773 0.96842431 0.004974576 4.82968510 48.01542367
#> 8 30 0.00136 0.006776958 0.96344973 0.006529259 4.80092552 43.18573856
#> 9 35 0.00195 0.009702699 0.95692047 0.009284712 4.76139059 38.38481305
#> 10 40 0.00291 0.014444913 0.94763576 0.013688516 4.70395752 33.62342246
#> 11 45 0.00429 0.021222390 0.93394725 0.019820593 4.62018475 28.91946493
#> 12 50 0.00672 0.033044847 0.91412665 0.030207175 4.49511533 24.29928019
#> 13 55 0.00985 0.048066366 0.88391948 0.042486797 4.31338040 19.80416486
#> 14 60 0.01596 0.076738148 0.84143268 0.064569986 4.04573844 15.49078446
#> 15 65 0.02605 0.122286117 0.77686270 0.094999522 3.64681467 11.44504601
#> 16 70 0.04536 0.203700377 0.68186317 0.138895786 3.06207640 7.79823134
#> 17 75 0.07247 0.306770800 0.54296739 0.166566540 2.29842059 4.73615493
#> 18 80 0.12078 0.463842697 0.37640085 0.174590785 1.44552728 2.43773434
#> 19 85 0.17957 0.619666304 0.20181006 0.125054896 0.69641308 0.99220707
#> 20 90 0.25938 0.786739058 0.07675517 0.060386288 0.23281012 0.29579399
#> 21 95 0.25989 1.000000000 0.01636888 0.016368879 0.06298387 0.06298387
#> ex
#> 1 72.428196
#> 2 72.648965
#> 3 68.891020
#> 4 64.037241
#> 5 59.175856
#> 6 54.357510
#> 7 49.580977
#> 8 44.824070
#> 9 40.112856
#> 10 35.481378
#> 11 30.964774
#> 12 26.581962
#> 13 22.404942
#> 14 18.410010
#> 15 14.732392
#> 16 11.436651
#> 17 8.722724
#> 18 6.476432
#> 19 4.916539
#> 20 3.853734
#> 21 3.847782