Tabla de mortalidad para el total de la población. 2008
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/2008 1/1/2009
0 209 69,456 73,596 0.1485 0.00292 0.00291
1 21 66,772 74,037 0.5098 0.00030 0.00030
2 10 67,869 68,830 0.4710 0.00015 0.00015
3 9 68,466 68,920 0.7933 0.00013 0.00013
4 9 66,947 69,137 0.5665 0.00013 0.00013
5 9 63,781 67,586 0.4806 0.00014 0.00014
6 2 62,233 64,534 0.8074 0.00003 0.00003
7 6 61,006 63,063 0.3456 0.00010 0.00010
8 2 57,951 61,879 0.7077 0.00003 0.00003
9 1 56,128 58,893 0.1393 0.00002 0.00002
10 3 56,584 56,973 0.2823 0.00005 0.00005
11 6 55,458 57,401 0.6890 0.00011 0.00011
12 2 54,901 56,500 0.2336 0.00004 0.00004
13 6 55,561 55,861 0.4495 0.00011 0.00011
14 7 56,959 56,571 0.3821 0.00012 0.00012
15 11 58,826 57,899 0.4449 0.00019 0.00019
16 12 57,662 59,974 0.5781 0.00020 0.00020
17 18 58,367 59,005 0.5674 0.00031 0.00031
18 15 62,026 60,623 0.4195 0.00024 0.00024
19 25 64,944 64,139 0.5354 0.00039 0.00039
20 17 69,441 67,537 0.4859 0.00025 0.00025
21 17 73,452 72,099 0.4415 0.00023 0.00023
22 25 78,444 76,258 0.5080 0.00032 0.00032
23 29 83,843 81,772 0.5128 0.00035 0.00035
24 25 87,813 87,411 0.4940 0.00029 0.00029
25 29 97,058 91,677 0.4790 0.00031 0.00031
26 27 102,766 100,785 0.3847 0.00027 0.00027
27 36 107,950 106,356 0.5631 0.00034 0.00034
28 44 113,679 111,300 0.4214 0.00039 0.00039
29 43 119,793 116,862 0.4755 0.00036 0.00036
30 42 122,798 122,327 0.4881 0.00034 0.00034
31 42 127,317 125,213 0.4432 0.00033 0.00033
32 54 126,500 129,548 0.4799 0.00042 0.00042
33 58 126,184 128,328 0.5216 0.00046 0.00046
34 51 121,742 127,785 0.4953 0.00041 0.00041
35 66 120,040 122,990 0.5097 0.00054 0.00054
36 74 117,905 121,118 0.5539 0.00062 0.00062
37 59 114,256 118,807 0.4932 0.00051 0.00051
38 80 112,192 115,171 0.4651 0.00070 0.00070
39 98 110,984 113,047 0.5491 0.00087 0.00087
40 111 109,946 111,860 0.4495 0.00100 0.00100
41 115 105,265 110,766 0.5317 0.00106 0.00106
42 118 104,224 105,993 0.5022 0.00112 0.00112
43 125 103,981 104,861 0.5129 0.00120 0.00120
44 135 99,388 104,591 0.5115 0.00132 0.00132
45 167 95,890 99,911 0.5024 0.00171 0.00170
46 167 91,602 96,254 0.5335 0.00178 0.00178
47 202 91,524 91,931 0.5053 0.00220 0.00220
48 188 88,474 91,771 0.5120 0.00209 0.00208
49 228 86,696 88,697 0.4872 0.00260 0.00260
50 230 84,787 86,819 0.4683 0.00268 0.00268
51 209 79,104 84,857 0.4936 0.00255 0.00255
52 245 76,541 79,044 0.5179 0.00315 0.00314
53 243 72,359 76,517 0.4974 0.00326 0.00326
54 237 72,426 72,101 0.5105 0.00328 0.00327
55 275 71,472 72,241 0.4778 0.00383 0.00382
56 268 67,507 71,256 0.4778 0.00386 0.00385
57 345 66,798 67,270 0.5134 0.00515 0.00513
58 307 69,357 66,496 0.5027 0.00452 0.00451
59 298 72,540 69,036 0.5126 0.00421 0.00420
60 407 65,392 72,108 0.4977 0.00592 0.00590
61 365 60,878 64,892 0.4849 0.00580 0.00579
62 408 63,732 60,427 0.5085 0.00657 0.00655
63 395 61,342 63,218 0.4702 0.00634 0.00632
64 422 58,938 60,856 0.5094 0.00705 0.00702
65 449 49,870 58,393 0.4930 0.00829 0.00826
66 372 44,836 49,368 0.4845 0.00790 0.00787
67 496 57,279 44,420 0.5305 0.00975 0.00971
68 506 35,598 56,557 0.4535 0.01098 0.01092
69 430 41,589 35,174 0.5346 0.01120 0.01115
70 524 44,789 41,074 0.5320 0.01221 0.01214
71 661 47,866 44,235 0.5205 0.01435 0.01426
72 753 44,987 47,137 0.4996 0.01635 0.01621
73 764 44,407 44,262 0.4986 0.01723 0.01709
74 923 44,683 43,706 0.5232 0.02088 0.02068
75 1,002 42,909 43,758 0.5120 0.02312 0.02286
76 1,000 40,067 41,921 0.4993 0.02439 0.02410
77 1,137 39,080 39,000 0.4988 0.02912 0.02870
78 1,191 36,814 38,028 0.4984 0.03183 0.03133
79 1,267 35,004 35,609 0.5049 0.03589 0.03526
80 1,313 31,014 33,750 0.4974 0.04055 0.03974
81 1,395 29,494 29,761 0.4966 0.04708 0.04599
82 1,439 26,328 28,157 0.4990 0.05282 0.05146
83 1,532 24,428 24,903 0.5039 0.06211 0.06025
84 1,511 22,447 23,065 0.4938 0.06640 0.06424
85 1,635 20,401 20,971 0.4928 0.07904 0.07599
86 1,491 17,349 18,919 0.4902 0.08222 0.07891
87 1,471 14,493 15,905 0.4979 0.09678 0.09230
88 1,401 11,398 13,148 0.4948 0.11415 0.10793
89 1,225 9,869 10,124 0.4962 0.12254 0.11542
90 7,873 38,422 40,002 0.20078 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 291 99,752 8,281,470 82.81
99,709 30 99,694 8,181,719 82.06
99,679 15 99,671 8,082,025 81.08
99,664 13 99,662 7,982,354 80.09
99,651 13 99,645 7,882,692 79.10
99,638 14 99,631 7,783,047 78.11
99,624 3 99,624 7,683,416 77.12
99,621 10 99,615 7,583,792 76.13
99,612 3 99,611 7,484,177 75.13
99,608 2 99,607 7,384,567 74.14
99,606 5 99,603 7,284,960 73.14
99,601 11 99,598 7,185,357 72.14
99,591 4 99,588 7,085,759 71.15
99,587 11 99,581 6,986,171 70.15
99,576 12 99,569 6,886,590 69.16
99,564 19 99,554 6,787,022 68.17
99,545 20 99,537 6,687,468 67.18
99,525 31 99,512 6,587,931 66.19
99,494 24 99,480 6,488,419 65.21
99,470 39 99,452 6,388,939 64.23
99,432 25 99,419 6,289,487 63.25
99,407 23 99,394 6,190,068 62.27
99,384 32 99,368 6,090,674 61.28
99,352 35 99,335 5,991,306 60.30
99,317 28 99,302 5,891,971 59.33
99,288 31 99,273 5,792,669 58.34
99,258 26 99,242 5,693,396 57.36
99,232 33 99,217 5,594,155 56.37
99,198 39 99,176 5,494,938 55.39
99,160 36 99,141 5,395,762 54.41
99,123 34 99,106 5,296,621 53.43
99,090 33 99,071 5,197,515 52.45
99,057 42 99,035 5,098,444 51.47
99,015 45 98,993 4,999,409 50.49
98,970 40 98,949 4,900,416 49.51
98,929 54 98,903 4,801,467 48.53
98,876 61 98,848 4,702,564 47.56
98,814 50 98,789 4,603,716 46.59
98,764 69 98,727 4,504,927 45.61
98,695 86 98,656 4,406,199 44.64
98,608 99 98,554 4,307,544 43.68
98,510 105 98,461 4,208,989 42.73
98,405 110 98,350 4,110,529 41.77
98,295 118 98,237 4,012,179 40.82
98,177 130 98,114 3,913,941 39.87
98,047 167 97,964 3,815,828 38.92
97,880 174 97,799 3,717,864 37.98
97,706 215 97,600 3,620,065 37.05
97,491 203 97,392 3,522,465 36.13
97,288 253 97,159 3,425,073 35.21
97,035 260 96,897 3,327,914 34.30
96,776 246 96,651 3,231,017 33.39
96,529 304 96,383 3,134,366 32.47
96,226 314 96,068 3,037,983 31.57
95,912 314 95,758 2,941,915 30.67
95,598 365 95,407 2,846,156 29.77
95,233 367 95,041 2,750,749 28.88
94,866 487 94,629 2,655,708 27.99
94,379 426 94,167 2,561,079 27.14
93,953 395 93,761 2,466,912 26.26
93,559 552 93,281 2,373,151 25.37
93,006 538 92,729 2,279,870 24.51
92,468 606 92,170 2,187,141 23.65
91,862 581 91,555 2,094,970 22.81
91,282 641 90,967 2,003,416 21.95
90,641 749 90,261 1,912,448 21.10
89,892 707 89,528 1,822,187 20.27
89,185 866 88,778 1,732,660 19.43
88,319 964 87,792 1,643,881 18.61
87,355 974 86,902 1,556,089 17.81
86,381 1,048 85,891 1,469,187 17.01
85,333 1,216 84,750 1,383,297 16.21
84,117 1,364 83,434 1,298,547 15.44
82,753 1,414 82,044 1,215,113 14.68
81,339 1,682 80,537 1,133,069 13.93
79,657 1,821 78,768 1,052,532 13.21
77,835 1,876 76,896 973,764 12.51
75,960 2,180 74,867 896,868 11.81
73,779 2,311 72,620 822,001 11.14
71,468 2,520 70,220 749,382 10.49
68,948 2,740 67,571 679,161 9.85
66,208 3,045 64,675 611,590 9.24
63,163 3,250 61,535 546,915 8.66
59,913 3,610 58,122 485,381 8.10
56,303 3,617 54,472 427,259 7.59
52,686 4,004 50,655 372,787 7.08
48,682 3,842 46,723 322,132 6.62
44,840 4,139 42,762 275,409 6.14
40,702 4,393 38,482 232,646 5.72
36,309 4,191 34,198 194,164 5.35
32,118 32,118 159,966 159,966 4.98
Tabla de mortalidad para el total de la población. 2007
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/2007 1/1/2008
0 207 68,636 69,456 0.1324 0.00300 0.00299
1 29 69,249 66,772 0.4249 0.00043 0.00043
2 10 69,575 67,869 0.3025 0.00015 0.00015
3 12 68,238 68,466 0.4247 0.00018 0.00018
4 7 64,976 66,947 0.5346 0.00011 0.00011
5 7 60,719 63,781 0.4442 0.00011 0.00011
6 5 59,497 62,233 0.5501 0.00008 0.00008
7 6 56,296 61,006 0.4151 0.00010 0.00010
8 5 54,529 57,951 0.2340 0.00009 0.00009
9 5 54,998 56,128 0.6258 0.00009 0.00009
10 4 53,842 56,584 0.7637 0.00007 0.00007
11 3 53,255 55,458 0.7817 0.00006 0.00006
12 4 53,951 54,901 0.5993 0.00007 0.00007
13 8 55,257 55,561 0.5990 0.00014 0.00014
14 12 56,933 56,959 0.5445 0.00021 0.00021
15 14 55,781 58,826 0.4701 0.00024 0.00024
16 13 56,123 57,662 0.4828 0.00023 0.00023
17 15 58,475 58,367 0.5047 0.00026 0.00026
18 28 60,251 62,026 0.4917 0.00046 0.00046
19 24 64,004 64,944 0.4926 0.00037 0.00037
20 21 67,931 69,441 0.5753 0.00031 0.00031
21 21 72,541 73,452 0.4761 0.00029 0.00029
22 31 77,619 78,444 0.5700 0.00040 0.00040
23 35 81,777 83,843 0.5544 0.00042 0.00042
24 33 90,384 87,813 0.5597 0.00037 0.00037
25 36 96,529 97,058 0.5368 0.00037 0.00037
26 32 101,966 102,766 0.5142 0.00031 0.00031
27 38 108,259 107,950 0.4917 0.00035 0.00035
28 45 114,759 113,679 0.5262 0.00039 0.00039
29 55 118,244 119,793 0.4916 0.00046 0.00046
30 33 123,236 122,798 0.4700 0.00027 0.00027
31 50 122,946 127,317 0.4929 0.00040 0.00040
32 52 122,797 126,500 0.5616 0.00042 0.00042
33 52 118,881 126,184 0.4903 0.00042 0.00042
34 57 117,278 121,742 0.5280 0.00048 0.00048
35 69 115,053 120,040 0.4921 0.00059 0.00059
36 64 111,777 117,905 0.5490 0.00056 0.00056
37 74 109,768 114,256 0.5142 0.00066 0.00066
38 100 108,332 112,192 0.4715 0.00091 0.00091
39 105 107,361 110,984 0.5150 0.00096 0.00096
40 100 103,314 109,946 0.4715 0.00094 0.00094
41 121 102,395 105,265 0.5528 0.00117 0.00116
42 143 102,140 104,224 0.5120 0.00139 0.00138
43 133 97,569 103,981 0.5409 0.00132 0.00132
44 141 94,136 99,388 0.5079 0.00146 0.00146
45 164 90,185 95,890 0.4856 0.00176 0.00176
46 168 89,860 91,602 0.4961 0.00185 0.00185
47 180 86,940 91,524 0.4594 0.00202 0.00202
48 182 85,081 88,474 0.4898 0.00210 0.00210
49 231 83,528 86,696 0.5313 0.00271 0.00271
50 239 77,876 84,787 0.5084 0.00294 0.00293
51 214 75,334 79,104 0.5215 0.00277 0.00277
52 233 71,370 76,541 0.4861 0.00315 0.00315
53 254 71,514 72,359 0.5229 0.00353 0.00352
54 286 70,708 72,426 0.5142 0.00400 0.00399
55 258 66,700 71,472 0.4589 0.00373 0.00373
56 264 66,249 67,507 0.5064 0.00395 0.00394
57 287 68,659 66,798 0.4993 0.00424 0.00423
58 352 71,946 69,357 0.5268 0.00498 0.00497
59 358 64,869 72,540 0.4744 0.00521 0.00520
60 357 60,574 65,392 0.5157 0.00567 0.00565
61 383 63,392 60,878 0.5183 0.00616 0.00615
62 441 60,942 63,732 0.5006 0.00707 0.00705
63 414 58,679 61,342 0.4938 0.00690 0.00687
64 423 49,675 58,938 0.4878 0.00779 0.00776
65 356 44,716 49,870 0.4937 0.00753 0.00750
66 471 57,202 44,836 0.5260 0.00923 0.00919
67 507 35,580 57,279 0.4524 0.01092 0.01085
68 453 41,579 35,598 0.5146 0.01174 0.01167
69 524 44,768 41,589 0.4915 0.01214 0.01206
70 641 47,898 44,789 0.5106 0.01383 0.01374
71 715 45,067 47,866 0.5044 0.01539 0.01527
72 786 44,573 44,987 0.4990 0.01755 0.01740
73 867 44,931 44,407 0.5063 0.01941 0.01923
74 932 43,261 44,683 0.4987 0.02120 0.02097
75 1,009 40,447 42,909 0.5187 0.02421 0.02393
76 1,082 39,632 40,067 0.5107 0.02715 0.02680
77 1,160 37,329 39,080 0.5113 0.03036 0.02992
78 1,242 35,710 36,814 0.5025 0.03425 0.03368
79 1,203 31,766 35,004 0.5080 0.03603 0.03541
80 1,355 30,414 31,014 0.5128 0.04412 0.04319
81 1,334 27,227 29,494 0.4913 0.04704 0.04594
82 1,491 25,466 26,328 0.5077 0.05757 0.05599
83 1,428 23,473 24,428 0.4945 0.05962 0.05788
84 1,634 21,651 22,447 0.5109 0.07411 0.07152
85 1,528 18,478 20,401 0.4959 0.07860 0.07561
86 1,529 15,768 17,349 0.4980 0.09234 0.08825
87 1,440 12,409 14,493 0.4887 0.10706 0.10150
88 1,236 10,872 11,398 0.4952 0.11100 0.10511
89 1,245 9,546 9,869 0.4989 0.12825 0.12051
90 7,479 36,268 38,422 0.20027 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 299 99,741 8,227,156 82.27
99,701 43 99,677 8,127,415 81.52
99,658 15 99,648 8,027,739 80.55
99,644 17 99,634 7,928,091 79.56
99,626 11 99,622 7,828,457 78.58
99,616 11 99,610 7,728,835 77.59
99,605 8 99,601 7,629,225 76.60
99,597 10 99,591 7,529,624 75.60
99,586 9 99,580 7,430,034 74.61
99,577 9 99,574 7,330,454 73.62
99,569 7 99,567 7,230,880 72.62
99,561 5 99,560 7,131,313 71.63
99,556 7 99,553 7,031,753 70.63
99,549 14 99,543 6,932,200 69.64
99,534 21 99,525 6,832,658 68.65
99,513 24 99,500 6,733,133 67.66
99,489 23 99,477 6,633,633 66.68
99,466 26 99,453 6,534,156 65.69
99,441 46 99,417 6,434,702 64.71
99,395 37 99,376 6,335,285 63.74
99,358 30 99,345 6,235,908 62.76
99,328 29 99,313 6,136,563 61.78
99,299 39 99,282 6,037,251 60.80
99,260 42 99,241 5,937,968 59.82
99,218 37 99,202 5,838,727 58.85
99,181 37 99,164 5,739,526 57.87
99,144 31 99,129 5,640,362 56.89
99,113 35 99,095 5,541,233 55.91
99,078 39 99,060 5,442,137 54.93
99,039 46 99,016 5,343,078 53.95
98,993 27 98,979 5,244,062 52.97
98,967 40 98,947 5,145,082 51.99
98,927 41 98,909 5,046,135 51.01
98,886 42 98,865 4,947,226 50.03
98,844 47 98,822 4,848,361 49.05
98,797 58 98,768 4,749,539 48.07
98,739 55 98,714 4,650,772 47.10
98,684 65 98,652 4,552,057 46.13
98,619 89 98,572 4,453,405 45.16
98,529 95 98,484 4,354,833 44.20
98,435 92 98,386 4,256,350 43.24
98,343 115 98,291 4,157,964 42.28
98,228 136 98,162 4,059,673 41.33
98,092 129 98,033 3,961,511 40.39
97,963 143 97,892 3,863,478 39.44
97,820 172 97,731 3,765,586 38.50
97,648 181 97,557 3,667,855 37.56
97,467 196 97,361 3,570,298 36.63
97,271 204 97,167 3,472,937 35.70
97,067 263 96,943 3,375,771 34.78
96,804 284 96,664 3,278,827 33.87
96,520 267 96,392 3,182,163 32.97
96,252 303 96,097 3,085,771 32.06
95,950 338 95,788 2,989,675 31.16
95,612 381 95,426 2,893,886 30.27
95,230 355 95,038 2,798,460 29.39
94,875 374 94,691 2,703,422 28.49
94,501 400 94,301 2,608,731 27.61
94,102 468 93,881 2,514,430 26.72
93,634 487 93,378 2,420,549 25.85
93,148 527 92,893 2,327,171 24.98
92,621 569 92,347 2,234,278 24.12
92,052 649 91,728 2,141,931 23.27
91,403 628 91,085 2,050,204 22.43
90,775 704 90,414 1,959,119 21.58
90,070 675 89,728 1,868,705 20.75
89,395 822 89,005 1,778,977 19.90
88,573 961 88,047 1,689,971 19.08
87,612 1,023 87,115 1,601,925 18.28
86,589 1,044 86,058 1,514,810 17.49
85,545 1,175 84,969 1,428,752 16.70
84,369 1,288 83,731 1,343,782 15.93
83,081 1,446 82,357 1,260,051 15.17
81,635 1,569 80,861 1,177,694 14.43
80,066 1,679 79,224 1,096,834 13.70
78,387 1,876 77,484 1,017,610 12.98
76,511 2,050 75,508 940,126 12.29
74,461 2,228 73,372 864,618 11.61
72,233 2,433 71,023 791,246 10.95
69,800 2,471 68,584 720,223 10.32
67,329 2,908 65,912 651,639 9.68
64,421 2,959 62,916 585,726 9.09
61,462 3,441 59,768 522,811 8.51
58,021 3,358 56,323 463,043 7.98
54,663 3,909 52,751 406,720 7.44
50,753 3,837 48,819 353,969 6.97
46,916 4,140 44,838 305,150 6.50
42,776 4,342 40,556 260,313 6.09
38,434 4,040 36,395 219,757 5.72
34,394 4,145 32,317 183,362 5.33
30,249 30,249 151,045 151,045 4.99
Tabla de mortalidad para el total de la población. 2006
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/2006 1/1/2007
0 219 69,485 68,636 0.1317 0.00317 0.00316
1 16 71,908 69,249 0.4337 0.00023 0.00023
2 7 70,027 69,575 0.4857 0.00010 0.00010
3 9 66,546 68,238 0.5315 0.00013 0.00013
4 5 65,100 64,976 0.6619 0.00008 0.00008
5 4 58,535 60,719 0.7075 0.00007 0.00007
6 10 54,354 59,497 0.3942 0.00018 0.00018
7 6 53,715 56,296 0.5311 0.00011 0.00011
8 2 54,515 54,529 0.5096 0.00004 0.00004
9 2 53,479 54,998 0.2219 0.00004 0.00004
10 2 52,756 53,842 0.7945 0.00004 0.00004
11 3 53,535 53,255 0.3689 0.00006 0.00006
12 8 54,900 53,951 0.6640 0.00015 0.00015
13 6 56,588 55,257 0.3489 0.00011 0.00011
14 4 55,305 56,933 0.3918 0.00007 0.00007
15 12 55,748 55,781 0.5144 0.00022 0.00022
16 14 57,723 56,123 0.5888 0.00025 0.00025
17 9 58,277 58,475 0.3714 0.00015 0.00015
18 19 60,816 60,251 0.4572 0.00031 0.00031
19 23 63,978 64,004 0.5560 0.00036 0.00036
20 22 68,596 67,931 0.5493 0.00032 0.00032
21 21 73,432 72,541 0.4866 0.00029 0.00029
22 29 77,321 77,619 0.4918 0.00037 0.00037
23 23 85,376 81,777 0.5441 0.00028 0.00028
24 27 91,286 90,384 0.5781 0.00030 0.00030
25 27 96,885 96,529 0.5372 0.00028 0.00028
26 43 103,279 101,966 0.5290 0.00042 0.00042
27 32 110,277 108,259 0.5475 0.00029 0.00029
28 30 114,214 114,759 0.5409 0.00026 0.00026
29 43 119,547 118,244 0.4801 0.00036 0.00036
30 72 119,636 123,236 0.5094 0.00059 0.00059
31 51 120,194 122,946 0.4877 0.00042 0.00042
32 51 116,370 122,797 0.5167 0.00043 0.00043
33 51 115,272 118,881 0.4873 0.00044 0.00044
34 65 113,514 117,278 0.4842 0.00056 0.00056
35 62 110,230 115,053 0.4615 0.00055 0.00055
36 74 108,425 111,777 0.4766 0.00067 0.00067
37 93 107,078 109,768 0.5345 0.00086 0.00086
38 92 106,597 108,332 0.5065 0.00086 0.00086
39 112 102,916 107,361 0.4790 0.00107 0.00106
40 109 102,044 103,314 0.5403 0.00106 0.00106
41 115 101,829 102,395 0.4899 0.00113 0.00113
42 143 97,390 102,140 0.4863 0.00143 0.00143
43 143 94,055 97,569 0.5411 0.00149 0.00149
44 146 90,248 94,136 0.5122 0.00158 0.00158
45 173 90,019 90,185 0.5019 0.00192 0.00192
46 188 87,121 89,860 0.4865 0.00212 0.00212
47 182 85,445 86,940 0.5376 0.00211 0.00211
48 210 83,877 85,081 0.5053 0.00249 0.00248
49 208 78,271 83,528 0.5117 0.00257 0.00257
50 197 75,910 77,876 0.5281 0.00256 0.00256
51 206 72,059 75,334 0.5386 0.00280 0.00279
52 232 72,236 71,370 0.5022 0.00323 0.00323
53 237 71,516 71,514 0.5018 0.00331 0.00331
54 245 67,676 70,708 0.5280 0.00354 0.00353
55 258 67,094 66,700 0.5191 0.00386 0.00385
56 287 69,756 66,249 0.4810 0.00422 0.00421
57 301 73,399 68,659 0.4946 0.00424 0.00423
58 316 66,273 71,946 0.5003 0.00457 0.00456
59 352 61,884 64,869 0.4904 0.00555 0.00554
60 380 64,939 60,574 0.5067 0.00606 0.00604
61 388 62,477 63,392 0.5031 0.00617 0.00615
62 419 60,109 60,942 0.4946 0.00692 0.00690
63 416 50,877 58,679 0.4960 0.00759 0.00757
64 350 45,864 49,675 0.4992 0.00733 0.00730
65 438 58,669 44,716 0.5151 0.00847 0.00844
66 474 36,524 57,202 0.4595 0.01011 0.01006
67 385 42,717 35,580 0.5058 0.00983 0.00979
68 519 45,966 41,579 0.5042 0.01186 0.01179
69 547 49,255 44,768 0.5136 0.01164 0.01157
70 636 46,507 47,898 0.5015 0.01347 0.01338
71 741 45,975 45,067 0.5009 0.01628 0.01615
72 804 46,586 44,573 0.5203 0.01764 0.01749
73 807 44,814 44,931 0.4974 0.01798 0.01782
74 1,018 42,015 43,261 0.5018 0.02388 0.02359
75 956 41,249 40,447 0.4996 0.02340 0.02313
76 1,034 38,997 39,632 0.5260 0.02630 0.02598
77 1,099 37,323 37,329 0.5198 0.02944 0.02903
78 1,116 33,409 35,710 0.5012 0.03229 0.03178
79 1,248 32,069 31,766 0.5064 0.03910 0.03836
80 1,300 29,006 30,414 0.5095 0.04376 0.04284
81 1,332 27,227 27,227 0.5063 0.04892 0.04777
82 1,411 25,203 25,466 0.4849 0.05569 0.05414
83 1,413 23,557 23,473 0.4851 0.06009 0.05829
84 1,459 20,131 21,651 0.4896 0.06984 0.06743
85 1,386 17,465 18,478 0.4933 0.07712 0.07422
86 1,397 13,939 15,768 0.4865 0.09405 0.08972
87 1,231 12,307 12,409 0.5008 0.09961 0.09489
88 1,290 11,014 10,872 0.5107 0.11788 0.11145
89 1,158 9,255 9,546 0.4969 0.12318 0.11600
90 7,079 36,901 36,268 0.19350 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 316 99,725 8,233,669 82.34
99,684 23 99,671 8,133,944 81.60
99,661 10 99,656 8,034,273 80.62
99,651 13 99,645 7,934,617 79.62
99,638 8 99,635 7,834,972 78.63
99,630 7 99,628 7,735,337 77.64
99,624 17 99,613 7,635,709 76.65
99,606 11 99,601 7,536,096 75.66
99,595 4 99,593 7,436,495 74.67
99,592 4 99,589 7,336,901 73.67
99,588 4 99,587 7,237,313 72.67
99,584 6 99,581 7,137,726 71.68
99,578 15 99,574 7,038,145 70.68
99,564 11 99,557 6,938,572 69.69
99,553 7 99,549 6,839,015 68.70
99,546 21 99,536 6,739,466 67.70
99,525 24 99,515 6,639,930 66.72
99,500 15 99,491 6,540,416 65.73
99,485 31 99,468 6,440,925 64.74
99,454 36 99,438 6,341,457 63.76
99,418 32 99,403 6,242,019 62.79
99,386 29 99,371 6,142,616 61.81
99,357 37 99,338 6,043,245 60.82
99,320 27 99,308 5,943,906 59.85
99,293 30 99,280 5,844,599 58.86
99,263 28 99,250 5,745,318 57.88
99,236 42 99,216 5,646,068 56.90
99,194 29 99,181 5,546,852 55.92
99,165 26 99,153 5,447,671 54.94
99,139 36 99,120 5,348,518 53.95
99,103 59 99,074 5,249,398 52.97
99,044 42 99,023 5,150,324 52.00
99,003 42 98,982 5,051,301 51.02
98,961 43 98,938 4,952,318 50.04
98,917 56 98,889 4,853,380 49.06
98,862 54 98,832 4,754,491 48.09
98,807 66 98,773 4,655,659 47.12
98,741 85 98,702 4,556,886 46.15
98,656 84 98,615 4,458,184 45.19
98,572 105 98,517 4,359,570 44.23
98,467 104 98,419 4,261,052 43.27
98,362 111 98,306 4,162,633 42.32
98,252 141 98,179 4,064,327 41.37
98,111 146 98,044 3,966,148 40.43
97,965 155 97,889 3,868,104 39.48
97,810 188 97,716 3,770,215 38.55
97,622 207 97,516 3,672,499 37.62
97,415 205 97,320 3,574,983 36.70
97,209 241 97,090 3,477,663 35.77
96,968 249 96,846 3,380,573 34.86
96,719 247 96,602 3,283,727 33.95
96,472 269 96,347 3,187,124 33.04
96,202 310 96,048 3,090,777 32.13
95,892 317 95,734 2,994,729 31.23
95,575 338 95,415 2,898,996 30.33
95,237 367 95,060 2,803,580 29.44
94,870 400 94,663 2,708,520 28.55
94,471 399 94,269 2,613,857 27.67
94,071 429 93,857 2,519,588 26.78
93,642 519 93,378 2,425,732 25.90
93,123 562 92,846 2,332,354 25.05
92,561 569 92,278 2,239,508 24.19
91,992 635 91,672 2,147,229 23.34
91,358 691 91,009 2,055,558 22.50
90,667 662 90,335 1,964,548 21.67
90,005 760 89,636 1,874,213 20.82
89,245 898 88,760 1,784,577 20.00
88,347 865 87,920 1,695,817 19.19
87,483 1,031 86,971 1,607,897 18.38
86,452 1,000 85,965 1,520,926 17.59
85,451 1,144 84,881 1,434,961 16.79
84,308 1,361 83,628 1,350,079 16.01
82,946 1,451 82,250 1,266,451 15.27
81,495 1,453 80,765 1,184,201 14.53
80,043 1,889 79,102 1,103,436 13.79
78,154 1,808 77,250 1,024,333 13.11
76,346 1,983 75,406 947,084 12.41
74,363 2,159 73,326 871,678 11.72
72,204 2,295 71,060 798,351 11.06
69,910 2,682 68,586 727,291 10.40
67,228 2,880 65,815 658,706 9.80
64,348 3,074 62,830 592,890 9.21
61,274 3,317 59,565 530,060 8.65
57,957 3,378 56,217 470,495 8.12
54,579 3,681 52,700 414,277 7.59
50,898 3,778 48,984 361,577 7.10
47,120 4,228 44,949 312,593 6.63
42,893 4,070 40,861 267,644 6.24
38,823 4,327 36,705 226,783 5.84
34,496 4,001 32,483 190,078 5.51
30,494 30,494 157,595 157,595 5.17
Tabla de mortalidad para el total de la población. 2005
Edad x (1) Defunciones Población a(x)
(2)
m(x)
(3)
q(x)
(4)
1/1/2005 1/1/2006
0 248 69,697 69,485 0.1209 0.00356 0.00355
1 18 66,803 71,908 0.4776 0.00026 0.00026
2 13 63,752 70,027 0.3834 0.00019 0.00019
3 12 62,248 66,546 0.4986 0.00019 0.00019
4 6 59,822 65,100 0.4872 0.00010 0.00010
5 5 56,389 58,535 0.6964 0.00009 0.00009
6 3 52,796 54,354 0.6228 0.00006 0.00006
7 2 54,171 53,715 0.5890 0.00004 0.00004
8 4 53,284 54,515 0.3267 0.00007 0.00007
9 3 52,760 53,479 0.5662 0.00006 0.00006
10 7 53,519 52,756 0.3855 0.00013 0.00013
11 8 54,872 53,535 0.7003 0.00015 0.00015
12 6 56,620 54,900 0.3119 0.00011 0.00011
13 9 55,234 56,588 0.4734 0.00016 0.00016
14 9 55,627 55,305 0.6189 0.00016 0.00016
15 12 57,489 55,748 0.6541 0.00021 0.00021
16 14 57,869 57,723 0.4616 0.00024 0.00024
17 22 59,656 58,277 0.5484 0.00037 0.00037
18 20 62,138 60,816 0.5763 0.00033 0.00033
19 30 66,475 63,978 0.4823 0.00046 0.00046
20 16 71,204 68,596 0.4889 0.00023 0.00023
21 20 75,567 73,432 0.6121 0.00027 0.00027
22 21 83,446 77,321 0.4120 0.00026 0.00026
23 29 89,495 85,376 0.5610 0.00033 0.00033
24 38 95,218 91,286 0.5035 0.00041 0.00041
25 33 102,050 96,885 0.5456 0.00033 0.00033
26 34 109,236 103,279 0.5376 0.00032 0.00032
27 34 113,511 110,277 0.5039 0.00030 0.00030
28 33 119,021 114,214 0.4898 0.00028 0.00028
29 44 119,450 119,547 0.4699 0.00037 0.00037
30 51 120,205 119,636 0.4869 0.00043 0.00043
31 62 116,630 120,194 0.5030 0.00052 0.00052
32 54 115,699 116,370 0.4659 0.00047 0.00047
33 60 113,947 115,272 0.4726 0.00052 0.00052
34 62 110,677 113,514 0.5219 0.00055 0.00055
35 76 108,868 110,230 0.4603 0.00069 0.00069
36 94 107,549 108,425 0.4728 0.00087 0.00087
37 98 106,763 107,078 0.5433 0.00092 0.00092
38 101 103,363 106,597 0.5168 0.00096 0.00096
39 108 102,837 102,916 0.5148 0.00105 0.00105
40 132 102,481 102,044 0.4801 0.00129 0.00129
41 137 97,822 101,829 0.5100 0.00137 0.00137
42 133 94,363 97,390 0.4933 0.00139 0.00139
43 115 90,640 94,055 0.6018 0.00125 0.00124
44 157 90,390 90,248 0.5140 0.00174 0.00174
45 166 87,673 90,019 0.4933 0.00187 0.00187
46 174 85,825 87,121 0.4967 0.00201 0.00201
47 197 84,282 85,445 0.4891 0.00232 0.00232
48 174 78,640 83,877 0.5019 0.00214 0.00214
49 212 76,439 78,271 0.5233 0.00274 0.00274
50 194 72,631 75,910 0.5313 0.00261 0.00261
51 228 72,906 72,059 0.4994 0.00315 0.00314
52 219 72,024 72,236 0.4976 0.00304 0.00303
53 229 68,296 71,516 0.4734 0.00328 0.00327
54 268 67,681 67,676 0.4966 0.00396 0.00395
55 266 70,471 67,094 0.5093 0.00387 0.00386
56 311 74,045 69,756 0.5013 0.00433 0.00432
57 308 66,874 73,399 0.4769 0.00439 0.00438
58 323 62,522 66,273 0.5358 0.00502 0.00500
59 345 65,644 61,884 0.5029 0.00541 0.00540
60 351 63,233 64,939 0.5118 0.00548 0.00546
61 385 60,993 62,477 0.4950 0.00624 0.00622
62 416 51,586 60,109 0.4704 0.00745 0.00742
63 325 46,631 50,877 0.4945 0.00667 0.00664
64 437 59,570 45,864 0.5159 0.00829 0.00826
65 407 37,096 58,669 0.4671 0.00850 0.00846
66 399 43,306 36,524 0.5454 0.01000 0.00995
67 496 46,670 42,717 0.5182 0.01110 0.01104
68 561 50,077 45,966 0.5119 0.01168 0.01162
69 622 47,277 49,255 0.5075 0.01289 0.01281
70 679 46,882 46,507 0.4984 0.01454 0.01444
71 720 47,554 45,975 0.5077 0.01540 0.01528
72 837 45,790 46,586 0.4950 0.01812 0.01796
73 840 43,057 44,814 0.5233 0.01912 0.01895
74 1,014 42,382 42,015 0.4977 0.02403 0.02374
75 1,022 40,163 41,249 0.5123 0.02511 0.02480
76 1,026 38,489 38,997 0.4918 0.02648 0.02613
77 1,125 34,580 37,323 0.5145 0.03129 0.03082
78 1,149 33,364 33,409 0.5067 0.03442 0.03384
79 1,217 30,320 32,069 0.5033 0.03901 0.03827
80 1,386 28,649 29,006 0.4983 0.04808 0.04695
81 1,379 26,625 27,227 0.5118 0.05121 0.04997
82 1,506 25,028 25,203 0.5068 0.05996 0.05824
83 1,443 21,600 23,557 0.4937 0.06391 0.06191
84 1,416 18,967 20,131 0.5083 0.07243 0.06994
85 1,363 15,186 17,465 0.4834 0.08349 0.08004
86 1,348 13,667 13,939 0.5117 0.09766 0.09321
87 1,324 12,355 12,307 0.5000 0.10737 0.10190
88 1,280 10,497 11,014 0.4940 0.11901 0.11225
89 1,230 9,395 9,255 0.4969 0.13190 0.12370
90 7,328 35,548 36,901 0.20229 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
(5) (6) (7) (8) (9)
l(x) d(x) L(x) T(x) E(x)
100,000 355 99,688 8,187,169 81.87
99,645 26 99,631 8,087,481 81.16
99,619 19 99,607 7,987,850 80.18
99,600 19 99,590 7,888,243 79.20
99,581 10 99,576 7,788,653 78.21
99,571 9 99,569 7,689,077 77.22
99,563 6 99,561 7,589,508 76.23
99,557 4 99,556 7,489,947 75.23
99,553 7 99,549 7,390,392 74.24
99,546 6 99,544 7,290,843 73.24
99,540 13 99,532 7,191,299 72.24
99,527 15 99,523 7,091,767 71.25
99,513 11 99,505 6,992,244 70.26
99,502 16 99,494 6,892,739 69.27
99,486 16 99,480 6,793,245 68.28
99,470 21 99,463 6,693,765 67.29
99,449 24 99,436 6,594,303 66.31
99,425 37 99,408 6,494,867 65.32
99,388 32 99,374 6,395,459 64.35
99,355 46 99,332 6,296,086 63.37
99,310 23 99,298 6,196,754 62.40
99,287 27 99,276 6,097,456 61.41
99,260 26 99,245 5,998,180 60.43
99,234 33 99,220 5,898,935 59.44
99,201 40 99,181 5,799,715 58.46
99,161 33 99,146 5,700,534 57.49
99,128 32 99,113 5,601,388 56.51
99,096 30 99,081 5,502,274 55.52
99,066 28 99,052 5,403,193 54.54
99,038 36 99,019 5,304,141 53.56
99,002 42 98,980 5,205,122 52.58
98,960 52 98,934 5,106,142 51.60
98,908 46 98,883 5,007,208 50.63
98,862 52 98,834 4,908,325 49.65
98,810 55 98,784 4,809,491 48.67
98,755 68 98,718 4,710,707 47.70
98,687 86 98,642 4,611,988 46.73
98,601 90 98,560 4,513,347 45.77
98,511 95 98,465 4,414,787 44.82
98,416 103 98,366 4,316,322 43.86
98,313 127 98,247 4,217,956 42.90
98,186 135 98,120 4,119,709 41.96
98,051 136 97,982 4,021,589 41.02
97,915 122 97,867 3,923,607 40.07
97,793 170 97,711 3,825,740 39.12
97,624 182 97,531 3,728,029 38.19
97,441 196 97,343 3,630,498 37.26
97,245 225 97,130 3,533,155 36.33
97,020 208 96,917 3,436,025 35.42
96,812 265 96,686 3,339,108 34.49
96,548 252 96,429 3,242,422 33.58
96,296 302 96,144 3,145,993 32.67
95,993 291 95,847 3,049,848 31.77
95,702 313 95,537 2,954,001 30.87
95,389 377 95,199 2,858,464 29.97
95,012 367 94,832 2,763,265 29.08
94,646 409 94,442 2,668,432 28.19
94,237 413 94,021 2,573,990 27.31
93,824 470 93,606 2,479,969 26.43
93,355 504 93,104 2,386,363 25.56
92,851 507 92,603 2,293,259 24.70
92,344 574 92,054 2,200,656 23.83
91,770 681 91,409 2,108,602 22.98
91,089 605 90,783 2,017,193 22.15
90,484 747 90,122 1,926,410 21.29
89,736 759 89,332 1,836,288 20.46
88,977 885 88,575 1,746,956 19.63
88,092 972 87,623 1,658,382 18.83
87,119 1,012 86,625 1,570,759 18.03
86,107 1,103 85,564 1,484,133 17.24
85,005 1,227 84,389 1,398,569 16.45
83,778 1,280 83,147 1,314,180 15.69
82,497 1,481 81,749 1,231,032 14.92
81,016 1,535 80,284 1,149,283 14.19
79,481 1,887 78,533 1,068,999 13.45
77,594 1,925 76,655 990,466 12.76
75,669 1,977 74,664 913,811 12.08
73,692 2,271 72,589 839,146 11.39
71,421 2,417 70,228 766,557 10.73
69,004 2,641 67,692 696,329 10.09
66,363 3,116 64,800 628,637 9.47
63,247 3,160 61,704 563,837 8.91
60,087 3,500 58,361 502,132 8.36
56,588 3,503 54,814 443,771 7.84
53,084 3,713 51,259 388,957 7.33
49,372 3,952 47,330 337,698 6.84
45,420 4,234 43,353 290,368 6.39
41,186 4,197 39,088 247,016 6.00
36,989 4,152 34,888 207,928 5.62
32,837 4,062 30,794 173,039 5.27
28,775 28,775 142,246 142,246 4.94
Tabla de mortalidad para el total de la población. 2004
Edad x (1) Defunciones Población a(x)
(2)
m(x)
(3)
q(x)
(4)
1/1/2004 1/1/2005
0 276 66,275 69,697 0.1520 0.00406 0.00405
1 25 62,850 66,803 0.4620 0.00039 0.00039
2 9 60,781 63,752 0.3373 0.00014 0.00014
3 7 58,512 62,248 0.5734 0.00012 0.00012
4 6 54,947 59,822 0.5023 0.00010 0.00010
5 5 52,206 56,389 0.4508 0.00009 0.00009
6 3 52,876 52,796 0.5401 0.00006 0.00006
7 3 52,109 54,171 0.4954 0.00006 0.00006
8 8 51,632 53,284 0.5092 0.00015 0.00015
9 5 52,228 52,760 0.6186 0.00010 0.00010
10 8 53,635 53,519 0.4898 0.00015 0.00015
11 3 55,215 54,872 0.5565 0.00005 0.00005
12 4 53,990 56,620 0.3531 0.00007 0.00007
13 7 54,245 55,234 0.4891 0.00013 0.00013
14 10 56,025 55,627 0.5462 0.00018 0.00018
15 10 56,345 57,489 0.4604 0.00018 0.00018
16 8 57,911 57,869 0.4413 0.00014 0.00014
17 30 59,825 59,656 0.5604 0.00050 0.00050
18 20 63,330 62,138 0.5199 0.00032 0.00032
19 23 67,431 66,475 0.3654 0.00034 0.00034
20 29 71,358 71,204 0.5202 0.00041 0.00041
21 24 78,708 75,567 0.6161 0.00031 0.00031
22 29 84,757 83,446 0.5565 0.00034 0.00034
23 41 90,193 89,495 0.4603 0.00046 0.00046
24 29 97,001 95,218 0.4929 0.00030 0.00030
25 38 104,085 102,050 0.4912 0.00037 0.00037
26 49 108,478 109,236 0.5199 0.00045 0.00045
27 53 114,174 113,511 0.5169 0.00047 0.00047
28 79 114,937 119,021 0.5276 0.00068 0.00068
29 52 115,714 119,450 0.4652 0.00044 0.00044
30 62 112,810 120,205 0.5174 0.00053 0.00053
31 77 111,642 116,630 0.5099 0.00067 0.00067
32 66 110,718 115,699 0.5511 0.00058 0.00058
33 77 107,579 113,947 0.4818 0.00070 0.00069
34 80 105,862 110,677 0.4906 0.00074 0.00074
35 73 104,905 108,868 0.4835 0.00068 0.00068
36 102 104,171 107,549 0.5270 0.00096 0.00096
37 101 101,122 106,763 0.5149 0.00097 0.00097
38 109 100,588 103,363 0.4817 0.00107 0.00107
39 122 100,488 102,837 0.4917 0.00120 0.00120
40 114 96,015 102,481 0.5127 0.00115 0.00115
41 115 92,653 97,822 0.4615 0.00121 0.00121
42 131 89,027 94,363 0.5027 0.00143 0.00143
43 142 88,809 90,640 0.5082 0.00158 0.00158
44 167 86,030 90,390 0.4799 0.00189 0.00189
45 159 84,418 87,673 0.5406 0.00185 0.00185
46 153 82,971 85,825 0.5496 0.00181 0.00181
47 195 77,570 84,282 0.4953 0.00241 0.00241
48 198 75,359 78,640 0.5357 0.00257 0.00257
49 174 71,678 76,439 0.4892 0.00235 0.00235
50 204 72,031 72,631 0.5149 0.00282 0.00282
51 245 71,117 72,906 0.5095 0.00340 0.00340
52 214 67,643 72,024 0.5271 0.00306 0.00306
53 254 67,019 68,296 0.5054 0.00375 0.00375
54 237 69,775 67,681 0.5286 0.00345 0.00344
55 291 73,476 70,471 0.5205 0.00404 0.00404
56 284 66,344 74,045 0.4774 0.00405 0.00404
57 309 62,081 66,874 0.4871 0.00479 0.00478
58 298 65,329 62,522 0.5318 0.00466 0.00465
59 355 62,999 65,644 0.5077 0.00552 0.00550
60 352 60,734 63,233 0.5302 0.00568 0.00566
61 373 51,502 60,993 0.4920 0.00663 0.00661
62 323 46,485 51,586 0.5065 0.00659 0.00657
63 379 59,525 46,631 0.5221 0.00714 0.00712
64 408 37,225 59,570 0.4615 0.00843 0.00839
65 364 43,358 37,096 0.5416 0.00905 0.00901
66 442 46,819 43,306 0.5098 0.00981 0.00976
67 501 50,376 46,670 0.5067 0.01033 0.01027
68 590 47,555 50,077 0.4957 0.01209 0.01201
69 601 47,152 47,277 0.4922 0.01273 0.01265
70 690 47,941 46,882 0.5139 0.01455 0.01445
71 772 46,239 47,554 0.5179 0.01646 0.01633
72 814 43,736 45,790 0.5028 0.01818 0.01802
73 941 43,050 43,057 0.4824 0.02186 0.02161
74 887 40,942 42,382 0.5043 0.02129 0.02107
75 1,044 39,368 40,163 0.5031 0.02625 0.02592
76 989 35,566 38,489 0.4888 0.02671 0.02635
77 1,106 34,571 34,580 0.5205 0.03199 0.03150
78 1,204 31,596 33,364 0.5017 0.03707 0.03640
79 1,214 29,882 30,320 0.5050 0.04033 0.03954
80 1,339 28,203 28,649 0.4988 0.04710 0.04602
81 1,364 26,634 26,625 0.5003 0.05122 0.04994
82 1,405 23,252 25,028 0.5027 0.05820 0.05656
83 1,355 20,604 21,600 0.4952 0.06421 0.06220
84 1,410 16,772 18,967 0.4763 0.07891 0.07577
85 1,238 15,449 15,186 0.5027 0.08082 0.07770
86 1,363 14,129 13,667 0.5053 0.09807 0.09353
87 1,296 12,285 12,355 0.5151 0.10519 0.10009
88 1,322 11,214 10,497 0.4940 0.12178 0.11471
89 1,236 9,896 9,395 0.4922 0.12814 0.12031
90 6,965 38,767 35,548 0.18745 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
(5) (6) (7) (8) (9)
l(x) d(x) L(x) T(x) E(x)
100,000 405 99,657 8,174,508 81.75
99,595 38 99,575 8,074,852 81.08
99,557 14 99,547 7,975,277 80.11
99,543 12 99,538 7,875,729 79.12
99,531 10 99,526 7,776,192 78.13
99,521 9 99,516 7,676,666 77.14
99,512 6 99,509 7,577,150 76.14
99,506 6 99,503 7,477,641 75.15
99,500 15 99,493 7,378,138 74.15
99,485 9 99,481 7,278,645 73.16
99,476 15 99,468 7,179,164 72.17
99,461 5 99,458 7,079,696 71.18
99,455 7 99,451 6,980,237 70.18
99,448 13 99,442 6,880,787 69.19
99,435 18 99,427 6,781,345 68.20
99,418 17 99,408 6,681,918 67.21
99,400 14 99,392 6,582,509 66.22
99,386 50 99,364 6,483,117 65.23
99,337 32 99,321 6,383,752 64.26
99,305 34 99,283 6,284,431 63.28
99,271 40 99,251 6,185,148 62.31
99,230 31 99,219 6,085,897 61.33
99,200 34 99,184 5,986,678 60.35
99,165 45 99,141 5,887,494 59.37
99,120 30 99,105 5,788,353 58.40
99,090 37 99,072 5,689,248 57.41
99,054 45 99,032 5,590,176 56.44
99,009 46 98,987 5,491,144 55.46
98,963 67 98,931 5,392,157 54.49
98,896 44 98,873 5,293,226 53.52
98,852 53 98,827 5,194,353 52.55
98,800 67 98,767 5,095,526 51.57
98,733 58 98,707 4,996,759 50.61
98,676 69 98,640 4,898,052 49.64
98,607 73 98,570 4,799,411 48.67
98,534 67 98,500 4,700,841 47.71
98,467 95 98,422 4,602,342 46.74
98,372 96 98,326 4,503,920 45.78
98,277 105 98,222 4,405,594 44.83
98,172 118 98,112 4,307,372 43.88
98,054 113 97,999 4,209,260 42.93
97,941 118 97,878 4,111,261 41.98
97,823 140 97,754 4,013,383 41.03
97,683 154 97,607 3,915,630 40.08
97,529 184 97,433 3,818,022 39.15
97,345 180 97,262 3,720,589 38.22
97,165 176 97,086 3,623,327 37.29
96,989 233 96,871 3,526,242 36.36
96,755 249 96,640 3,429,371 35.44
96,507 226 96,391 3,332,731 34.53
96,280 271 96,149 3,236,339 33.61
96,009 326 95,849 3,140,191 32.71
95,683 293 95,545 3,044,341 31.82
95,390 357 95,214 2,948,797 30.91
95,033 327 94,879 2,853,583 30.03
94,706 382 94,522 2,758,704 29.13
94,324 381 94,125 2,664,182 28.25
93,943 449 93,712 2,570,057 27.36
93,494 435 93,290 2,476,345 26.49
93,059 512 92,807 2,383,055 25.61
92,547 524 92,300 2,290,248 24.75
92,022 608 91,713 2,197,948 23.88
91,414 600 91,118 2,106,235 23.04
90,814 646 90,505 2,015,117 22.19
90,168 757 89,760 1,924,612 21.34
89,411 806 89,042 1,834,851 20.52
88,605 865 88,181 1,745,810 19.70
87,740 901 87,296 1,657,628 18.89
86,839 1,043 86,313 1,570,333 18.08
85,796 1,085 85,245 1,484,020 17.30
84,711 1,224 84,116 1,398,775 16.51
83,487 1,364 82,829 1,314,659 15.75
82,123 1,480 81,387 1,231,830 15.00
80,643 1,743 79,741 1,150,443 14.27
78,900 1,662 78,076 1,070,702 13.57
77,238 2,002 76,243 992,626 12.85
75,236 1,982 74,223 916,382 12.18
73,254 2,308 72,147 842,159 11.50
70,946 2,582 69,659 770,012 10.85
68,364 2,703 67,026 700,353 10.24
65,661 3,022 64,146 633,327 9.65
62,639 3,128 61,076 569,181 9.09
59,511 3,366 57,837 508,106 8.54
56,144 3,492 54,382 450,269 8.02
52,652 3,990 50,563 395,887 7.52
48,663 3,781 46,782 345,324 7.10
44,882 4,198 42,805 298,542 6.65
40,684 4,072 38,709 255,737 6.29
36,612 4,200 34,487 217,028 5.93
32,412 3,900 30,432 182,541 5.63
28,512 28,512 152,110 152,110 5.33
Tabla de mortalidad para el total de la población. 2003
Edad x (1) Defunciones Población a(x)
(2)
m(x)
(3)
q(x)
(4)
1/1/2003 1/1/2004
0 268 62,458 66,275 0.1416 0.00416 0.00415
1 22 59,937 62,850 0.4559 0.00036 0.00036
2 22 57,765 60,781 0.4280 0.00037 0.00037
3 10 54,304 58,512 0.5830 0.00018 0.00018
4 6 51,573 54,947 0.3945 0.00011 0.00011
5 7 52,351 52,206 0.4951 0.00013 0.00013
6 8 51,761 52,876 0.6476 0.00015 0.00015
7 8 51,143 52,109 0.3860 0.00015 0.00015
8 5 51,725 51,632 0.4110 0.00010 0.00010
9 8 53,189 52,228 0.5729 0.00015 0.00015
10 9 54,611 53,635 0.4840 0.00017 0.00017
11 8 53,331 55,215 0.4822 0.00015 0.00015
12 4 53,765 53,990 0.5295 0.00007 0.00007
13 9 55,382 54,245 0.4962 0.00016 0.00016
14 9 55,565 56,025 0.6505 0.00016 0.00016
15 16 57,169 56,345 0.4990 0.00028 0.00028
16 28 58,934 57,911 0.5408 0.00048 0.00048
17 20 61,660 59,825 0.4885 0.00033 0.00033
18 24 65,512 63,330 0.5189 0.00037 0.00037
19 42 68,740 67,431 0.4659 0.00062 0.00062
20 36 75,779 71,358 0.5803 0.00049 0.00049
21 37 81,124 78,708 0.5548 0.00046 0.00046
22 33 86,558 84,757 0.5386 0.00039 0.00039
23 55 92,956 90,193 0.4391 0.00060 0.00060
24 35 100,163 97,001 0.4975 0.00036 0.00035
25 47 104,810 104,085 0.5087 0.00045 0.00045
26 46 110,783 108,478 0.4954 0.00042 0.00042
27 54 112,120 114,174 0.5178 0.00048 0.00048
28 49 112,994 114,937 0.5098 0.00043 0.00043
29 51 110,676 115,714 0.4035 0.00045 0.00045
30 61 110,218 112,810 0.4894 0.00055 0.00055
31 72 109,250 111,642 0.4954 0.00065 0.00065
32 75 106,639 110,718 0.5592 0.00069 0.00069
33 79 105,211 107,579 0.5083 0.00074 0.00074
34 92 103,979 105,862 0.4901 0.00088 0.00088
35 85 103,574 104,905 0.5109 0.00082 0.00082
36 109 100,877 104,171 0.4676 0.00106 0.00106
37 88 100,410 101,122 0.5104 0.00087 0.00087
38 128 100,240 100,588 0.4578 0.00127 0.00127
39 111 95,855 100,488 0.4902 0.00113 0.00113
40 136 92,394 96,015 0.5217 0.00144 0.00144
41 129 88,651 92,653 0.4937 0.00142 0.00142
42 167 88,604 89,027 0.5453 0.00188 0.00188
43 145 85,946 88,809 0.5071 0.00166 0.00166
44 145 84,085 86,030 0.5295 0.00170 0.00170
45 178 83,005 84,418 0.4921 0.00213 0.00212
46 158 77,494 82,971 0.5025 0.00197 0.00197
47 167 75,286 77,570 0.5057 0.00219 0.00218
48 200 71,703 75,359 0.5066 0.00272 0.00272
49 201 72,094 71,678 0.5360 0.00280 0.00279
50 196 71,338 72,031 0.5307 0.00273 0.00273
51 224 67,708 71,117 0.4656 0.00323 0.00322
52 215 67,404 67,643 0.4940 0.00318 0.00318
53 218 70,190 67,019 0.4960 0.00318 0.00317
54 258 73,889 69,775 0.5265 0.00359 0.00359
55 266 66,947 73,476 0.4933 0.00379 0.00378
56 276 62,652 66,344 0.4930 0.00428 0.00427
57 333 65,931 62,081 0.4919 0.00520 0.00519
58 313 63,634 65,329 0.4929 0.00485 0.00484
59 374 61,522 62,999 0.5026 0.00601 0.00599
60 366 52,188 60,734 0.5081 0.00648 0.00646
61 318 47,089 51,502 0.5073 0.00645 0.00643
62 369 60,562 46,485 0.5205 0.00689 0.00687
63 434 37,809 59,525 0.4339 0.00892 0.00887
64 356 44,163 37,225 0.5125 0.00875 0.00871
65 449 47,748 43,358 0.5245 0.00986 0.00981
66 512 51,433 46,819 0.5215 0.01042 0.01037
67 579 48,503 50,376 0.5020 0.01171 0.01164
68 605 48,126 47,555 0.5020 0.01265 0.01257
69 645 48,932 47,152 0.5013 0.01343 0.01334
70 753 47,248 47,941 0.4923 0.01582 0.01570
71 746 44,627 46,239 0.5020 0.01642 0.01629
72 865 44,115 43,736 0.5027 0.01969 0.01950
73 933 42,064 43,050 0.5165 0.02192 0.02169
74 981 40,525 40,942 0.5047 0.02408 0.02380
75 1,064 36,569 39,368 0.4780 0.02802 0.02762
76 1,090 35,748 35,566 0.5092 0.03057 0.03012
77 1,132 32,652 34,571 0.4991 0.03368 0.03312
78 1,200 31,100 31,596 0.4827 0.03828 0.03754
79 1,274 29,422 29,882 0.5110 0.04297 0.04208
80 1,373 27,857 28,203 0.4943 0.04898 0.04780
81 1,380 24,342 26,634 0.4993 0.05414 0.05271
82 1,396 21,802 23,252 0.5033 0.06197 0.06012
83 1,402 17,848 20,604 0.4925 0.07292 0.07032
84 1,296 16,513 16,772 0.5064 0.07787 0.07499
85 1,363 15,090 15,449 0.5021 0.08926 0.08546
86 1,358 13,276 14,129 0.5025 0.09911 0.09445
87 1,392 12,265 12,285 0.5052 0.11340 0.10738
88 1,346 10,726 11,214 0.5010 0.12270 0.11562
89 1,291 9,354 9,896 0.4917 0.13413 0.12557
90 6,981 33,678 38,767 0.19273 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
(5) (6) (7) (8) (9)
l(x) d(x) L(x) T(x) E(x)
100,000 415 99,644 8,108,296 81.08
99,585 36 99,566 8,008,652 80.42
99,549 37 99,528 7,909,086 79.45
99,512 18 99,505 7,809,558 78.48
99,495 11 99,488 7,710,053 77.49
99,484 13 99,477 7,610,565 76.50
99,470 15 99,465 7,511,088 75.51
99,455 15 99,446 7,411,623 74.52
99,440 10 99,434 7,312,177 73.53
99,430 15 99,424 7,212,743 72.54
99,415 17 99,406 7,113,319 71.55
99,398 15 99,391 7,013,913 70.56
99,384 7 99,380 6,914,522 69.57
99,376 16 99,368 6,815,142 68.58
99,360 16 99,355 6,715,773 67.59
99,344 28 99,330 6,616,419 66.60
99,316 48 99,294 6,517,089 65.62
99,269 33 99,252 6,417,795 64.65
99,236 37 99,218 6,318,543 63.67
99,199 61 99,166 6,219,325 62.70
99,138 49 99,117 6,120,158 61.73
99,089 46 99,069 6,021,041 60.76
99,043 38 99,026 5,921,972 59.79
99,005 59 98,972 5,822,947 58.81
98,946 35 98,928 5,723,975 57.85
98,911 44 98,889 5,625,047 56.87
98,866 41 98,845 5,526,158 55.90
98,825 47 98,802 5,427,313 54.92
98,777 42 98,757 5,328,511 53.94
98,735 44 98,708 5,229,754 52.97
98,691 54 98,663 5,131,046 51.99
98,637 64 98,604 5,032,383 51.02
98,572 68 98,542 4,933,779 50.05
98,504 73 98,468 4,835,236 49.09
98,431 86 98,387 4,736,768 48.12
98,345 80 98,306 4,638,381 47.16
98,265 104 98,209 4,540,075 46.20
98,160 86 98,118 4,441,866 45.25
98,075 125 98,007 4,343,748 44.29
97,950 111 97,893 4,245,741 43.35
97,839 141 97,772 4,147,847 42.39
97,698 139 97,628 4,050,076 41.46
97,559 183 97,476 3,952,448 40.51
97,376 161 97,296 3,854,973 39.59
97,214 166 97,136 3,757,677 38.65
97,049 206 96,944 3,660,540 37.72
96,842 191 96,748 3,563,596 36.80
96,652 211 96,548 3,466,849 35.87
96,441 262 96,312 3,370,301 34.95
96,179 269 96,054 3,273,989 34.04
95,910 262 95,788 3,177,935 33.13
95,649 308 95,484 3,082,147 32.22
95,340 303 95,187 2,986,663 31.33
95,037 302 94,885 2,891,476 30.42
94,736 340 94,575 2,796,591 29.52
94,396 357 94,215 2,702,016 28.62
94,039 402 93,836 2,607,801 27.73
93,638 486 93,391 2,513,965 26.85
93,152 451 92,923 2,420,574 25.99
92,701 555 92,425 2,327,651 25.11
92,146 595 91,853 2,235,227 24.26
91,550 589 91,260 2,143,374 23.41
90,961 625 90,662 2,052,114 22.56
90,336 802 89,883 1,961,452 21.71
89,535 780 89,155 1,871,570 20.90
88,755 871 88,341 1,782,415 20.08
87,884 911 87,448 1,694,074 19.28
86,973 1,013 86,468 1,606,626 18.47
85,960 1,080 85,422 1,520,158 17.68
84,880 1,132 84,315 1,434,736 16.90
83,748 1,314 83,080 1,350,421 16.12
82,433 1,343 81,765 1,267,340 15.37
81,091 1,581 80,304 1,185,575 14.62
79,509 1,725 78,675 1,105,271 13.90
77,785 1,851 76,868 1,026,596 13.20
75,933 2,097 74,839 949,728 12.51
73,836 2,224 72,745 874,889 11.85
71,612 2,372 70,424 802,145 11.20
69,241 2,599 67,896 731,720 10.57
66,642 2,804 65,270 663,824 9.96
63,837 3,051 62,294 598,554 9.38
60,786 3,204 59,181 536,260 8.82
57,582 3,462 55,862 477,078 8.29
54,120 3,806 52,188 421,216 7.78
50,314 3,773 48,452 369,028 7.33
46,541 3,978 44,561 320,576 6.89
42,563 4,020 40,563 276,016 6.48
38,543 4,139 36,496 235,452 6.11
34,405 3,978 32,420 198,957 5.78
30,427 3,821 28,485 166,537 5.47
26,606 26,606 138,052 138,052 5.19
Tabla de mortalidad para el total de la población. 2002
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/2002 1/1/2003
0 230 58,893 62,458 0.1570 0.00379 0.00378
1 24 56,373 59,937 0.3670 0.00041 0.00041
2 11 51,485 57,765 0.3990 0.00020 0.00020
3 10 50,624 54,304 0.4101 0.00019 0.00019
4 4 50,031 51,573 0.3664 0.00008 0.00008
5 6 49,408 52,351 0.4329 0.00012 0.00012
6 8 49,120 51,761 0.6832 0.00016 0.00016
7 7 49,724 51,143 0.5918 0.00014 0.00014
8 8 51,303 51,725 0.5825 0.00016 0.00016
9 7 52,719 53,189 0.6333 0.00013 0.00013
10 5 51,475 54,611 0.3967 0.00009 0.00009
11 4 51,864 53,331 0.3973 0.00008 0.00008
12 7 53,450 53,765 0.5131 0.00013 0.00013
13 8 53,646 55,382 0.5339 0.00015 0.00015
14 11 55,159 55,565 0.4658 0.00020 0.00020
15 14 56,936 57,169 0.4832 0.00025 0.00025
16 16 59,572 58,934 0.4870 0.00027 0.00027
17 14 62,468 61,660 0.5135 0.00023 0.00023
18 22 65,462 65,512 0.5077 0.00034 0.00034
19 18 71,334 68,740 0.6169 0.00026 0.00026
20 36 76,309 75,779 0.5124 0.00047 0.00047
21 31 81,164 81,124 0.4562 0.00038 0.00038
22 53 87,126 86,558 0.5550 0.00061 0.00061
23 29 93,889 92,956 0.3613 0.00031 0.00031
24 37 98,479 100,163 0.5144 0.00037 0.00037
25 43 104,088 104,810 0.4737 0.00041 0.00041
26 49 105,555 110,783 0.5867 0.00045 0.00045
27 54 106,648 112,120 0.5165 0.00049 0.00049
28 56 104,817 112,994 0.4950 0.00051 0.00051
29 45 104,343 110,676 0.4561 0.00042 0.00042
30 57 104,046 110,218 0.4988 0.00053 0.00053
31 64 101,750 109,250 0.5262 0.00061 0.00061
32 80 100,585 106,639 0.5323 0.00077 0.00077
33 71 99,590 105,211 0.4199 0.00069 0.00069
34 84 99,487 103,979 0.5389 0.00083 0.00083
35 77 97,330 103,574 0.5078 0.00077 0.00077
36 103 97,338 100,877 0.5403 0.00104 0.00104
37 117 97,097 100,410 0.5197 0.00118 0.00118
38 113 92,988 100,240 0.5099 0.00117 0.00117
39 115 89,694 95,855 0.5077 0.00124 0.00124
40 119 86,147 92,394 0.5041 0.00133 0.00133
41 139 86,323 88,651 0.5018 0.00159 0.00159
42 137 83,910 88,604 0.4971 0.00159 0.00159
43 134 82,233 85,946 0.4943 0.00159 0.00159
44 148 81,230 84,085 0.4838 0.00179 0.00179
45 171 75,986 83,005 0.4688 0.00215 0.00215
46 168 73,905 77,494 0.4962 0.00222 0.00222
47 167 70,534 75,286 0.4996 0.00229 0.00229
48 170 71,168 71,703 0.4958 0.00238 0.00238
49 174 70,454 72,094 0.4951 0.00244 0.00244
50 179 67,003 71,338 0.5150 0.00259 0.00258
51 202 66,651 67,708 0.5080 0.00301 0.00300
52 208 69,702 67,404 0.5007 0.00303 0.00303
53 223 73,413 70,190 0.5118 0.00311 0.00310
54 278 66,583 73,889 0.5331 0.00396 0.00395
55 243 62,361 66,947 0.4931 0.00376 0.00375
56 296 65,800 62,652 0.5024 0.00461 0.00460
57 320 63,529 65,931 0.5000 0.00494 0.00493
58 337 61,423 63,634 0.5189 0.00539 0.00538
59 355 52,151 61,522 0.5202 0.00625 0.00623
60 276 47,141 52,188 0.4978 0.00556 0.00554
61 356 60,659 47,089 0.5229 0.00661 0.00659
62 380 37,852 60,562 0.4962 0.00772 0.00769
63 304 44,336 37,809 0.5414 0.00740 0.00738
64 410 47,952 44,163 0.5031 0.00890 0.00886
65 443 51,805 47,748 0.5198 0.00890 0.00886
66 521 48,878 51,433 0.4919 0.01039 0.01033
67 608 48,513 48,503 0.5001 0.01253 0.01246
68 561 49,368 48,126 0.4883 0.01151 0.01144
69 682 47,760 48,932 0.5086 0.01411 0.01401
70 732 45,163 47,248 0.5168 0.01584 0.01572
71 774 44,743 44,627 0.5145 0.01732 0.01718
72 842 42,756 44,115 0.5226 0.01939 0.01921
73 905 41,353 42,064 0.4858 0.02170 0.02146
74 958 37,388 40,525 0.5046 0.02459 0.02430
75 984 36,683 36,569 0.4990 0.02687 0.02651
76 1,052 33,676 35,748 0.5139 0.03031 0.02987
77 1,076 32,126 32,652 0.4967 0.03322 0.03267
78 1,148 30,519 31,100 0.4928 0.03726 0.03657
79 1,190 29,014 29,422 0.4923 0.04073 0.03990
80 1,294 25,648 27,857 0.4947 0.04837 0.04722
81 1,285 23,184 24,342 0.5043 0.05408 0.05266
82 1,284 19,123 21,802 0.4827 0.06275 0.06078
83 1,205 17,814 17,848 0.5028 0.06758 0.06538
84 1,293 16,451 16,513 0.5036 0.07845 0.07551
85 1,330 14,708 15,090 0.4949 0.08927 0.08542
86 1,327 13,651 13,276 0.4852 0.09856 0.09380
87 1,337 12,114 12,265 0.5070 0.10968 0.10406
88 1,221 10,758 10,726 0.4949 0.11367 0.10749
89 1,302 9,227 9,354 0.4812 0.14014 0.13064
90 6,269 32,914 33,678 0.18828 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 378 99,681 8,131,492 81.31
99,622 41 99,596 8,031,811 80.62
99,581 20 99,569 7,932,215 79.66
99,561 19 99,550 7,832,646 78.67
99,542 8 99,537 7,733,096 77.69
99,534 12 99,528 7,633,559 76.69
99,522 16 99,517 7,534,032 75.70
99,507 14 99,501 7,434,514 74.71
99,493 15 99,486 7,335,013 73.72
99,477 13 99,473 7,235,527 72.74
99,464 9 99,459 7,136,054 71.74
99,455 8 99,450 7,036,595 70.75
99,447 13 99,441 6,937,145 69.76
99,434 15 99,428 6,837,704 68.77
99,420 20 99,409 6,738,277 67.78
99,400 24 99,387 6,638,867 66.79
99,376 27 99,362 6,539,480 65.81
99,349 22 99,338 6,440,118 64.82
99,326 33 99,310 6,340,780 63.84
99,293 26 99,283 6,241,470 62.86
99,267 47 99,245 6,142,187 61.88
99,220 38 99,200 6,042,943 60.90
99,183 61 99,156 5,943,743 59.93
99,122 31 99,102 5,844,587 58.96
99,091 37 99,073 5,745,485 57.98
99,054 41 99,033 5,646,411 57.00
99,014 45 98,995 5,547,378 56.03
98,969 49 98,945 5,448,383 55.05
98,920 51 98,894 5,349,438 54.08
98,869 41 98,847 5,250,544 53.11
98,828 53 98,801 5,151,697 52.13
98,775 60 98,747 5,052,896 51.16
98,715 76 98,680 4,954,149 50.19
98,639 68 98,599 4,855,470 49.22
98,571 81 98,533 4,756,870 48.26
98,489 75 98,452 4,658,337 47.30
98,414 102 98,367 4,559,885 46.33
98,312 116 98,256 4,461,518 45.38
98,195 115 98,139 4,363,262 44.43
98,080 122 98,021 4,265,123 43.49
97,959 130 97,894 4,167,103 42.54
97,828 155 97,751 4,069,208 41.60
97,673 155 97,595 3,971,457 40.66
97,518 155 97,440 3,873,862 39.72
97,363 174 97,273 3,776,422 38.79
97,189 209 97,078 3,679,150 37.86
96,980 215 96,872 3,582,072 36.94
96,765 221 96,654 3,485,200 36.02
96,543 229 96,428 3,388,546 35.10
96,314 235 96,195 3,292,118 34.18
96,079 248 95,959 3,195,923 33.26
95,831 288 95,689 3,099,964 32.35
95,543 289 95,399 3,004,275 31.44
95,254 295 95,109 2,908,876 30.54
94,958 375 94,783 2,813,767 29.63
94,583 355 94,403 2,718,984 28.75
94,228 433 94,013 2,624,580 27.85
93,795 463 93,564 2,530,568 26.98
93,332 502 93,091 2,437,004 26.11
92,831 578 92,553 2,343,913 25.25
92,253 511 91,996 2,251,359 24.40
91,741 604 91,453 2,159,363 23.54
91,137 701 90,784 2,067,910 22.69
90,436 667 90,130 1,977,126 21.86
89,769 796 89,374 1,886,996 21.02
88,973 788 88,595 1,797,623 20.20
88,185 911 87,722 1,709,028 19.38
87,274 1,087 86,730 1,621,306 18.58
86,187 986 85,682 1,534,576 17.81
85,200 1,194 84,614 1,448,894 17.01
84,007 1,321 83,369 1,364,280 16.24
82,686 1,420 81,997 1,280,911 15.49
81,266 1,561 80,521 1,198,915 14.75
79,705 1,710 78,825 1,118,394 14.03
77,995 1,895 77,056 1,039,569 13.33
76,100 2,017 75,089 962,513 12.65
74,082 2,213 73,007 887,424 11.98
71,870 2,348 70,688 814,417 11.33
69,521 2,542 68,232 743,729 10.70
66,979 2,673 65,622 675,497 10.09
64,306 3,036 62,772 609,875 9.48
61,270 3,227 59,671 547,103 8.93
58,043 3,528 56,218 487,433 8.40
54,516 3,564 52,743 431,214 7.91
50,951 3,847 49,042 378,471 7.43
47,104 4,023 45,072 329,429 6.99
43,081 4,041 41,000 284,357 6.60
39,040 4,062 37,037 243,357 6.23
34,977 3,760 33,078 206,320 5.90
31,217 4,078 29,101 173,242 5.55
27,139 27,139 144,141 144,141 5.31
Tabla de mortalidad para el total de la población. 2001
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/2001 1/1/2002
0 227 56,111 58,893 0.1383 0.00395 0.00393
1 26 52,907 56,373 0.5009 0.00048 0.00048
2 13 49,087 51,485 0.4523 0.00026 0.00026
3 11 48,428 50,624 0.3243 0.00022 0.00022
4 4 47,673 50,031 0.4322 0.00008 0.00008
5 9 47,521 49,408 0.4371 0.00019 0.00019
6 5 47,966 49,120 0.4378 0.00010 0.00010
7 3 49,542 49,724 0.6237 0.00006 0.00006
8 4 51,027 51,303 0.6377 0.00008 0.00008
9 6 49,864 52,719 0.4105 0.00012 0.00012
10 5 50,269 51,475 0.4910 0.00010 0.00010
11 9 51,846 51,864 0.5327 0.00017 0.00017
12 11 52,167 53,450 0.2954 0.00021 0.00021
13 8 53,756 53,646 0.5486 0.00015 0.00015
14 9 55,332 55,159 0.4816 0.00016 0.00016
15 9 58,006 56,936 0.5903 0.00016 0.00016
16 16 60,710 59,572 0.4503 0.00027 0.00027
17 15 63,794 62,468 0.5826 0.00024 0.00024
18 26 68,830 65,462 0.4420 0.00039 0.00039
19 22 73,527 71,334 0.5686 0.00030 0.00030
20 33 77,986 76,309 0.4493 0.00043 0.00043
21 39 83,817 81,164 0.4881 0.00047 0.00047
22 43 90,244 87,126 0.5046 0.00048 0.00048
23 39 94,685 93,889 0.5313 0.00041 0.00041
24 49 100,077 98,479 0.4408 0.00049 0.00049
25 45 101,738 104,088 0.4933 0.00044 0.00044
26 44 102,656 105,555 0.4973 0.00042 0.00042
27 45 100,993 106,648 0.5321 0.00043 0.00043
28 54 100,708 104,817 0.4600 0.00053 0.00053
29 56 100,420 104,343 0.5177 0.00055 0.00055
30 80 98,339 104,046 0.4778 0.00079 0.00079
31 61 97,253 101,750 0.5404 0.00061 0.00061
32 77 96,664 100,585 0.5230 0.00078 0.00078
33 85 96,518 99,590 0.6185 0.00087 0.00087
34 87 94,710 99,487 0.5199 0.00090 0.00090
35 85 94,539 97,330 0.5127 0.00089 0.00089
36 121 94,508 97,338 0.5214 0.00126 0.00126
37 102 90,606 97,097 0.5104 0.00109 0.00109
38 118 87,353 92,988 0.4863 0.00131 0.00131
39 134 84,111 89,694 0.4941 0.00154 0.00154
40 119 84,352 86,147 0.4949 0.00140 0.00139
41 132 82,072 86,323 0.5272 0.00157 0.00157
42 105 80,385 83,910 0.5580 0.00128 0.00128
43 136 79,635 82,233 0.5357 0.00168 0.00168
44 133 74,417 81,230 0.5134 0.00171 0.00171
45 131 72,498 75,986 0.4729 0.00176 0.00176
46 168 69,342 73,905 0.4828 0.00235 0.00234
47 156 69,929 70,534 0.4654 0.00222 0.00222
48 166 69,479 71,168 0.5205 0.00236 0.00236
49 197 66,071 70,454 0.5004 0.00289 0.00288
50 203 65,876 67,003 0.5044 0.00306 0.00305
51 205 68,873 66,651 0.5162 0.00303 0.00302
52 235 72,738 69,702 0.5008 0.00330 0.00329
53 265 66,164 73,413 0.4903 0.00380 0.00379
54 258 61,882 66,583 0.4875 0.00402 0.00401
55 248 65,425 62,361 0.5084 0.00388 0.00387
56 296 63,157 65,800 0.5109 0.00459 0.00458
57 323 61,107 63,529 0.5226 0.00518 0.00517
58 277 51,890 61,423 0.4898 0.00489 0.00488
59 232 46,976 52,151 0.4972 0.00468 0.00467
60 344 60,624 47,141 0.5612 0.00638 0.00637
61 333 37,694 60,659 0.5005 0.00677 0.00675
62 307 44,282 37,852 0.5010 0.00748 0.00745
63 403 47,932 44,336 0.5114 0.00874 0.00870
64 473 51,872 47,952 0.5218 0.00948 0.00943
65 530 48,974 51,805 0.4992 0.01052 0.01046
66 510 48,611 48,878 0.5137 0.01046 0.01041
67 573 49,506 48,513 0.5123 0.01169 0.01163
68 644 48,059 49,368 0.5003 0.01322 0.01313
69 673 45,391 47,760 0.4893 0.01445 0.01434
70 795 45,087 45,163 0.5097 0.01762 0.01747
71 813 43,058 44,743 0.5123 0.01852 0.01835
72 817 41,750 42,756 0.5005 0.01934 0.01915
73 920 37,794 41,353 0.4898 0.02325 0.02298
74 948 37,267 37,388 0.5254 0.02540 0.02509
75 985 34,182 36,683 0.4910 0.02780 0.02741
76 1,005 32,729 33,676 0.5191 0.03027 0.02983
77 1,113 31,212 32,126 0.4996 0.03514 0.03454
78 1,138 29,826 30,519 0.5078 0.03772 0.03703
79 1,202 26,371 29,014 0.5108 0.04341 0.04250
80 1,239 23,961 25,648 0.4987 0.04995 0.04873
81 1,252 19,787 23,184 0.5009 0.05827 0.05663
82 1,112 18,559 19,123 0.4990 0.05902 0.05733
83 1,116 17,258 17,814 0.4936 0.06364 0.06165
84 1,229 15,542 16,451 0.4996 0.07683 0.07398
85 1,324 14,548 14,708 0.5024 0.09051 0.08661
86 1,299 12,987 13,651 0.4940 0.09753 0.09294
87 1,355 11,686 12,114 0.5078 0.11387 0.10782
88 1,269 10,112 10,758 0.5041 0.12161 0.11469
89 1,228 8,373 9,227 0.4892 0.13955 0.13026
90 5,760 28,843 32,914 0.18654 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 393 99,661 8,101,963 81.02
99,607 47 99,583 8,002,302 80.34
99,559 26 99,545 7,902,719 79.38
99,533 22 99,519 7,803,174 78.40
99,511 8 99,507 7,703,655 77.41
99,503 18 99,493 7,604,148 76.42
99,485 10 99,479 7,504,656 75.44
99,474 6 99,472 7,405,177 74.44
99,468 8 99,466 7,305,704 73.45
99,461 12 99,454 7,206,239 72.45
99,449 10 99,444 7,106,785 71.46
99,439 17 99,431 7,007,341 70.47
99,422 21 99,407 6,907,910 69.48
99,401 15 99,395 6,808,502 68.50
99,387 16 99,378 6,709,108 67.51
99,370 16 99,364 6,609,730 66.52
99,355 26 99,340 6,510,366 65.53
99,328 24 99,318 6,411,025 64.54
99,305 38 99,283 6,311,707 63.56
99,266 30 99,253 6,212,424 62.58
99,236 42 99,213 6,113,170 61.60
99,194 47 99,170 6,013,958 60.63
99,147 48 99,123 5,914,788 59.66
99,099 41 99,080 5,815,665 58.69
99,058 49 99,030 5,716,585 57.71
99,009 43 98,987 5,617,555 56.74
98,966 42 98,945 5,518,568 55.76
98,924 43 98,904 5,419,623 54.79
98,881 52 98,853 5,320,720 53.81
98,829 54 98,803 5,221,867 52.84
98,775 78 98,734 5,123,064 51.87
98,697 60 98,669 5,024,330 50.91
98,636 77 98,600 4,925,661 49.94
98,559 85 98,527 4,827,061 48.98
98,474 88 98,432 4,728,534 48.02
98,386 87 98,343 4,630,102 47.06
98,299 124 98,239 4,531,759 46.10
98,175 107 98,123 4,433,520 45.16
98,068 128 98,002 4,335,397 44.21
97,940 151 97,864 4,237,395 43.27
97,789 136 97,720 4,139,531 42.33
97,653 153 97,580 4,041,811 41.39
97,500 125 97,445 3,944,231 40.45
97,375 163 97,299 3,846,787 39.50
97,212 166 97,131 3,749,488 38.57
97,046 171 96,955 3,652,357 37.64
96,874 227 96,757 3,555,401 36.70
96,647 214 96,533 3,458,644 35.79
96,433 227 96,324 3,362,111 34.86
96,206 277 96,067 3,265,787 33.95
95,928 293 95,783 3,169,720 33.04
95,636 289 95,496 3,073,937 32.14
95,347 314 95,190 2,978,441 31.24
95,033 360 94,849 2,883,251 30.34
94,673 379 94,478 2,788,402 29.45
94,293 365 94,114 2,693,923 28.57
93,928 430 93,717 2,599,810 27.68
93,498 483 93,267 2,506,092 26.80
93,014 454 92,783 2,412,826 25.94
92,561 432 92,343 2,320,043 25.07
92,128 587 91,871 2,227,700 24.18
91,542 618 91,233 2,135,829 23.33
90,924 677 90,586 2,044,595 22.49
90,247 785 89,863 1,954,009 21.65
89,462 844 89,058 1,864,146 20.84
88,618 927 88,154 1,775,088 20.03
87,691 913 87,247 1,686,934 19.24
86,778 1,009 86,286 1,599,687 18.43
85,769 1,126 85,206 1,513,402 17.65
84,643 1,214 84,023 1,428,195 16.87
83,428 1,457 82,714 1,344,173 16.11
81,971 1,504 81,238 1,261,459 15.39
80,467 1,541 79,697 1,180,221 14.67
78,926 1,813 78,001 1,100,524 13.94
77,112 1,935 76,194 1,022,524 13.26
75,177 2,061 74,128 946,330 12.59
73,117 2,181 72,068 872,201 11.93
70,935 2,450 69,709 800,134 11.28
68,485 2,536 67,237 730,424 10.67
65,949 2,803 64,578 663,187 10.06
63,146 3,077 61,604 598,609 9.48
60,069 3,401 58,372 537,005 8.94
56,668 3,248 55,040 478,634 8.45
53,419 3,293 51,751 423,594 7.93
50,126 3,709 48,270 371,842 7.42
46,417 4,020 44,417 323,572 6.97
42,397 3,941 40,403 279,155 6.58
38,457 4,146 36,416 238,752 6.21
34,310 3,935 32,359 202,337 5.90
30,375 3,957 28,354 169,978 5.60
26,418 26,418 141,624 141,624 5.36
Tabla de mortalidad para el total de la población. 2000
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/2000 1/1/2001
0 230 50,619 56,111 0.1520 0.00431 0.00429
1 18 50,035 52,907 0.5675 0.00035 0.00035
2 9 43,986 49,087 0.5480 0.00019 0.00019
3 4 44,303 48,428 0.5546 0.00009 0.00009
4 8 45,228 47,673 0.3579 0.00017 0.00017
5 6 46,181 47,521 0.5310 0.00013 0.00013
6 6 47,769 47,966 0.6507 0.00013 0.00013
7 5 49,336 49,542 0.4831 0.00010 0.00010
8 5 48,395 51,027 0.3678 0.00010 0.00010
9 3 48,959 49,864 0.4399 0.00006 0.00006
10 3 50,415 50,269 0.1931 0.00006 0.00006
11 6 50,720 51,846 0.4185 0.00012 0.00012
12 5 52,417 52,167 0.4814 0.00010 0.00010
13 10 54,118 53,756 0.6036 0.00019 0.00019
14 8 56,838 55,332 0.3453 0.00014 0.00014
15 14 59,155 58,006 0.5494 0.00024 0.00024
16 15 61,903 60,710 0.5933 0.00024 0.00024
17 13 66,789 63,794 0.4517 0.00020 0.00020
18 19 71,181 68,830 0.5549 0.00027 0.00027
19 27 75,401 73,527 0.5480 0.00036 0.00036
20 33 81,155 77,986 0.6198 0.00041 0.00041
21 35 87,212 83,817 0.4949 0.00041 0.00041
22 43 91,272 90,244 0.5047 0.00047 0.00047
23 46 96,488 94,685 0.4971 0.00048 0.00048
24 48 98,020 100,077 0.4983 0.00048 0.00048
25 48 98,724 101,738 0.4382 0.00048 0.00048
26 48 97,206 102,656 0.4442 0.00048 0.00048
27 55 96,612 100,993 0.5311 0.00056 0.00056
28 58 96,100 100,708 0.5010 0.00059 0.00059
29 49 93,676 100,420 0.4897 0.00050 0.00050
30 71 92,595 98,339 0.4927 0.00074 0.00074
31 56 91,778 97,253 0.4654 0.00059 0.00059
32 75 91,873 96,664 0.4749 0.00080 0.00080
33 83 90,301 96,518 0.5524 0.00089 0.00089
34 70 90,296 94,710 0.5504 0.00076 0.00076
35 92 90,441 94,539 0.5095 0.00099 0.00099
36 102 86,942 94,508 0.4942 0.00112 0.00112
37 114 84,099 90,606 0.4879 0.00131 0.00130
38 101 81,279 87,353 0.4809 0.00120 0.00120
39 106 81,352 84,111 0.5181 0.00128 0.00128
40 130 79,588 84,352 0.4896 0.00159 0.00158
41 124 78,083 82,072 0.4908 0.00155 0.00155
42 131 77,611 80,385 0.4962 0.00166 0.00166
43 113 72,672 79,635 0.5194 0.00148 0.00148
44 139 70,849 74,417 0.4902 0.00191 0.00191
45 120 67,979 72,498 0.4835 0.00171 0.00171
46 155 68,846 69,342 0.5191 0.00224 0.00224
47 191 68,440 69,929 0.4900 0.00276 0.00276
48 167 65,010 69,479 0.4770 0.00248 0.00248
49 165 65,009 66,071 0.4881 0.00252 0.00251
50 204 68,221 65,876 0.4895 0.00304 0.00304
51 211 72,140 68,873 0.4887 0.00299 0.00299
52 231 65,584 72,738 0.4938 0.00334 0.00333
53 235 61,364 66,164 0.4845 0.00369 0.00368
54 228 65,017 61,882 0.5343 0.00359 0.00359
55 256 62,893 65,425 0.5031 0.00399 0.00398
56 295 60,921 63,157 0.5006 0.00476 0.00474
57 266 51,727 61,107 0.4688 0.00471 0.00470
58 234 46,852 51,890 0.5081 0.00474 0.00473
59 294 60,640 46,976 0.4928 0.00546 0.00545
60 345 37,591 60,624 0.4553 0.00703 0.00700
61 289 44,237 37,694 0.5152 0.00705 0.00703
62 334 47,892 44,282 0.5188 0.00725 0.00722
63 435 51,917 47,932 0.5069 0.00871 0.00868
64 475 49,185 51,872 0.5004 0.00940 0.00936
65 529 48,839 48,974 0.5134 0.01082 0.01076
66 556 49,729 48,611 0.5009 0.01131 0.01124
67 621 48,273 49,506 0.5104 0.01270 0.01262
68 644 45,774 48,059 0.5277 0.01373 0.01364
69 789 45,456 45,391 0.4856 0.01737 0.01722
70 747 43,485 45,087 0.5094 0.01687 0.01673
71 796 42,294 43,058 0.5136 0.01865 0.01848
72 856 38,333 41,750 0.5092 0.02138 0.02116
73 880 37,967 37,794 0.4982 0.02323 0.02296
74 959 34,773 37,267 0.5068 0.02662 0.02628
75 1,022 33,477 34,182 0.5067 0.03021 0.02977
76 1,027 31,896 32,729 0.5077 0.03178 0.03129
77 1,110 30,589 31,212 0.4981 0.03592 0.03529
78 1,153 27,272 29,826 0.5091 0.04039 0.03960
79 1,116 24,845 26,371 0.5108 0.04358 0.04267
80 1,132 20,571 23,961 0.4963 0.05084 0.04957
81 1,060 19,419 19,787 0.5030 0.05407 0.05266
82 1,183 18,137 18,559 0.5062 0.06448 0.06249
83 1,222 16,444 17,258 0.4985 0.07252 0.06997
84 1,205 15,509 15,542 0.4993 0.07761 0.07471
85 1,259 13,983 14,548 0.4916 0.08825 0.08447
86 1,303 12,683 12,987 0.4959 0.10152 0.09658
87 1,218 11,059 11,686 0.4977 0.10710 0.10163
88 1,180 9,315 10,112 0.4952 0.12148 0.11446
89 1,145 7,836 8,373 0.4876 0.14128 0.13174
90 5,611 26,013 28,843 0.20457 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 429 99,636 8,066,735 80.67
99,571 35 99,556 7,967,099 80.01
99,536 19 99,527 7,867,543 79.04
99,517 9 99,513 7,768,016 78.06
99,508 17 99,497 7,668,504 77.06
99,491 13 99,485 7,569,007 76.08
99,478 12 99,474 7,469,522 75.09
99,466 10 99,460 7,370,048 74.10
99,456 10 99,449 7,270,588 73.10
99,446 6 99,442 7,171,139 72.11
99,439 6 99,435 7,071,697 71.12
99,434 12 99,427 6,972,262 70.12
99,422 10 99,417 6,872,835 69.13
99,412 18 99,405 6,773,418 68.13
99,394 14 99,385 6,674,013 67.15
99,380 24 99,369 6,574,628 66.16
99,356 24 99,346 6,475,259 65.17
99,332 20 99,321 6,375,913 64.19
99,312 27 99,300 6,276,592 63.20
99,285 36 99,269 6,177,292 62.22
99,249 41 99,233 6,078,023 61.24
99,208 41 99,187 5,978,790 60.27
99,167 47 99,144 5,879,603 59.29
99,120 48 99,096 5,780,459 58.32
99,073 48 99,049 5,681,362 57.35
99,025 47 98,998 5,582,314 56.37
98,977 48 98,951 5,483,316 55.40
98,930 55 98,904 5,384,365 54.43
98,875 58 98,846 5,285,461 53.46
98,816 50 98,791 5,186,615 52.49
98,766 73 98,729 5,087,825 51.51
98,693 58 98,662 4,989,095 50.55
98,635 78 98,593 4,890,433 49.58
98,556 88 98,517 4,791,840 48.62
98,469 74 98,435 4,693,323 47.66
98,394 98 98,346 4,594,888 46.70
98,296 110 98,240 4,496,542 45.74
98,186 128 98,120 4,398,301 44.80
98,058 117 97,997 4,300,181 43.85
97,940 125 97,880 4,202,184 42.91
97,815 155 97,736 4,104,304 41.96
97,660 151 97,583 4,006,568 41.03
97,509 162 97,428 3,908,985 40.09
97,347 144 97,278 3,811,558 39.15
97,203 186 97,108 3,714,280 38.21
97,017 166 96,932 3,617,172 37.28
96,852 217 96,747 3,520,240 36.35
96,635 266 96,499 3,423,493 35.43
96,368 239 96,243 3,326,994 34.52
96,129 242 96,005 3,230,751 33.61
95,887 291 95,739 3,134,746 32.69
95,596 286 95,450 3,039,007 31.79
95,310 318 95,150 2,943,557 30.88
94,993 349 94,813 2,848,407 29.99
94,643 340 94,485 2,753,595 29.09
94,304 376 94,117 2,659,110 28.20
93,928 446 93,706 2,564,993 27.31
93,483 440 93,249 2,471,287 26.44
93,043 440 92,827 2,378,038 25.56
92,603 505 92,347 2,285,211 24.68
92,098 645 91,747 2,192,864 23.81
91,454 643 91,142 2,101,117 22.97
90,811 656 90,495 2,009,975 22.13
90,155 782 89,769 1,919,480 21.29
89,373 836 88,955 1,829,710 20.47
88,537 953 88,073 1,740,755 19.66
87,584 985 87,092 1,652,682 18.87
86,599 1,093 86,064 1,565,590 18.08
85,506 1,166 84,955 1,479,526 17.30
84,340 1,452 83,593 1,394,571 16.54
82,888 1,387 82,208 1,310,978 15.82
81,501 1,507 80,768 1,228,770 15.08
79,995 1,692 79,164 1,148,002 14.35
78,302 1,798 77,400 1,068,838 13.65
76,504 2,010 75,513 991,438 12.96
74,494 2,217 73,400 915,925 12.30
72,276 2,262 71,163 842,525 11.66
70,015 2,471 68,775 771,362 11.02
67,544 2,675 66,231 702,588 10.40
64,869 2,768 63,515 636,357 9.81
62,101 3,078 60,551 572,842 9.22
59,023 3,108 57,478 512,291 8.68
55,915 3,494 54,189 454,813 8.13
52,421 3,668 50,581 400,623 7.64
48,753 3,642 46,929 350,042 7.18
45,110 3,810 43,173 303,113 6.72
41,300 3,989 39,290 259,940 6.29
37,312 3,792 35,407 220,650 5.91
33,519 3,837 31,583 185,243 5.53
29,683 3,910 27,679 153,661 5.18
25,772 25,772 125,982 125,982 4.89
Tabla de mortalidad para el total de la población. 1999
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1999 1/1/2000
0 190 48,587 50,619 0.1533 0.00383 0.00382
1 23 48,580 50,035 0.5136 0.00047 0.00047
2 13 44,989 43,986 0.5277 0.00029 0.00029
3 3 45,528 44,303 0.6256 0.00007 0.00007
4 11 45,935 45,228 0.5930 0.00024 0.00024
5 8 47,493 46,181 0.4414 0.00017 0.00017
6 3 49,531 47,769 0.4247 0.00006 0.00006
7 5 48,208 49,336 0.6389 0.00010 0.00010
8 1 48,666 48,395 0.8575 0.00002 0.00002
9 8 50,278 48,959 0.6216 0.00016 0.00016
10 10 50,605 50,415 0.4625 0.00020 0.00020
11 11 52,362 50,720 0.5910 0.00021 0.00021
12 5 54,223 52,417 0.3978 0.00009 0.00009
13 11 56,856 54,118 0.4423 0.00020 0.00020
14 11 59,223 56,838 0.5985 0.00019 0.00019
15 11 61,574 59,155 0.6466 0.00018 0.00018
16 12 65,538 61,903 0.4982 0.00019 0.00019
17 27 69,865 66,789 0.5499 0.00040 0.00040
18 27 73,248 71,181 0.5152 0.00037 0.00037
19 29 77,928 75,401 0.4938 0.00038 0.00038
20 25 83,347 81,155 0.5276 0.00030 0.00030
21 42 86,945 87,212 0.5137 0.00048 0.00048
22 39 91,669 91,272 0.4337 0.00043 0.00043
23 44 92,467 96,488 0.5247 0.00047 0.00047
24 42 93,334 98,020 0.4747 0.00044 0.00044
25 36 91,753 98,724 0.4436 0.00038 0.00038
26 53 91,163 97,206 0.4519 0.00056 0.00056
27 38 91,089 96,612 0.4853 0.00040 0.00040
28 57 88,962 96,100 0.3878 0.00062 0.00062
29 67 88,533 93,676 0.5026 0.00074 0.00074
30 70 88,079 92,595 0.4887 0.00077 0.00077
31 66 88,845 91,778 0.4632 0.00073 0.00073
32 75 87,813 91,873 0.4551 0.00083 0.00083
33 70 88,388 90,301 0.4787 0.00078 0.00078
34 95 88,645 90,296 0.4815 0.00106 0.00106
35 90 85,238 90,441 0.5052 0.00102 0.00102
36 102 82,726 86,942 0.4969 0.00120 0.00120
37 92 80,277 84,099 0.4342 0.00112 0.00112
38 99 80,596 81,279 0.5178 0.00122 0.00122
39 117 78,972 81,352 0.4459 0.00146 0.00146
40 117 77,658 79,588 0.5283 0.00149 0.00149
41 113 77,395 78,083 0.4963 0.00145 0.00145
42 105 72,283 77,611 0.4981 0.00140 0.00140
43 145 70,790 72,672 0.4500 0.00202 0.00202
44 116 67,967 70,849 0.4507 0.00167 0.00167
45 125 69,011 67,979 0.5227 0.00182 0.00182
46 130 68,763 68,846 0.4702 0.00189 0.00189
47 139 65,618 68,440 0.4808 0.00207 0.00207
48 150 65,545 65,010 0.5501 0.00230 0.00230
49 192 69,016 65,009 0.5285 0.00287 0.00286
50 181 73,054 68,221 0.5200 0.00256 0.00256
51 218 66,581 72,140 0.4984 0.00314 0.00314
52 214 62,474 65,584 0.4923 0.00334 0.00334
53 265 66,281 61,364 0.5019 0.00415 0.00414
54 257 64,087 65,017 0.5147 0.00398 0.00397
55 258 62,244 62,893 0.4654 0.00412 0.00411
56 253 52,832 60,921 0.4836 0.00445 0.00444
57 270 47,840 51,727 0.5073 0.00542 0.00541
58 287 62,034 46,852 0.5235 0.00527 0.00526
59 295 38,539 60,640 0.4523 0.00595 0.00593
60 288 45,426 37,591 0.5400 0.00694 0.00692
61 317 49,232 44,237 0.5101 0.00678 0.00676
62 415 53,437 47,892 0.5025 0.00819 0.00816
63 461 50,659 51,917 0.4812 0.00899 0.00895
64 467 50,349 49,185 0.5098 0.00938 0.00934
65 562 51,300 48,839 0.5238 0.01122 0.01116
66 613 49,919 49,729 0.5043 0.01230 0.01223
67 596 47,383 48,273 0.5218 0.01246 0.01239
68 631 47,049 45,774 0.5135 0.01360 0.01351
69 768 45,013 45,456 0.5239 0.01698 0.01684
70 763 43,815 43,485 0.5111 0.01748 0.01733
71 806 39,850 42,294 0.5056 0.01962 0.01944
72 848 39,445 38,333 0.5095 0.02181 0.02157
73 861 36,296 37,967 0.5183 0.02319 0.02293
74 921 35,103 34,773 0.5209 0.02636 0.02603
75 967 33,540 33,477 0.5134 0.02886 0.02846
76 1,073 32,294 31,896 0.4964 0.03343 0.03288
77 1,112 28,851 30,589 0.4957 0.03742 0.03672
78 1,115 26,412 27,272 0.4980 0.04154 0.04069
79 1,100 21,977 24,845 0.4935 0.04699 0.04589
80 1,038 20,909 20,571 0.5064 0.05005 0.04884
81 1,195 19,640 19,419 0.5098 0.06119 0.05941
82 1,203 17,966 18,137 0.5042 0.06664 0.06451
83 1,256 17,066 16,444 0.5089 0.07496 0.07230
84 1,351 15,547 15,509 0.4975 0.08700 0.08336
85 1,294 14,200 13,983 0.5048 0.09183 0.08783
86 1,409 12,521 12,683 0.5039 0.11181 0.10593
87 1,283 10,661 11,059 0.5067 0.11814 0.11163
88 1,280 9,103 9,315 0.5008 0.13899 0.12998
89 1,187 7,473 7,836 0.5012 0.15507 0.14394
90 5,328 24,819 26,013 0.20963 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 382 99,677 8,032,193 80.32
99,618 46 99,596 7,932,516 79.63
99,572 29 99,558 7,832,921 78.67
99,543 7 99,540 7,733,363 77.69
99,536 24 99,526 7,633,823 76.69
99,512 17 99,502 7,534,296 75.71
99,495 6 99,491 7,434,794 74.73
99,489 10 99,485 7,335,302 73.73
99,479 2 99,478 7,235,817 72.74
99,477 16 99,471 7,136,339 71.74
99,461 20 99,450 7,036,868 70.75
99,441 21 99,432 6,937,418 69.76
99,420 9 99,414 6,837,986 68.78
99,410 20 99,399 6,738,572 67.79
99,391 19 99,383 6,639,173 66.80
99,372 18 99,365 6,539,790 65.81
99,354 19 99,344 6,440,424 64.82
99,335 39 99,317 6,341,080 63.84
99,296 37 99,278 6,241,763 62.86
99,259 38 99,240 6,142,485 61.88
99,221 30 99,207 6,043,245 60.91
99,191 48 99,168 5,944,039 59.93
99,143 42 99,119 5,844,871 58.95
99,101 46 99,079 5,745,752 57.98
99,055 43 99,032 5,646,673 57.01
99,011 37 98,990 5,547,641 56.03
98,974 56 98,943 5,448,651 55.05
98,918 40 98,897 5,349,707 54.08
98,878 61 98,841 5,250,810 53.10
98,817 73 98,781 5,151,969 52.14
98,745 76 98,705 5,053,188 51.17
98,668 72 98,629 4,954,483 50.21
98,596 82 98,551 4,855,853 49.25
98,514 77 98,473 4,757,302 48.29
98,437 104 98,382 4,658,829 47.33
98,332 101 98,282 4,560,446 46.38
98,231 118 98,172 4,462,164 45.43
98,113 110 98,051 4,363,992 44.48
98,004 120 97,946 4,265,941 43.53
97,884 143 97,805 4,167,995 42.58
97,741 145 97,672 4,070,190 41.64
97,596 142 97,524 3,972,518 40.70
97,454 136 97,385 3,874,994 39.76
97,317 197 97,209 3,777,608 38.82
97,121 162 97,032 3,680,399 37.89
96,959 177 96,874 3,583,367 36.96
96,782 183 96,685 3,486,492 36.02
96,599 200 96,495 3,389,807 35.09
96,399 221 96,300 3,293,312 34.16
96,178 275 96,048 3,197,012 33.24
95,903 245 95,785 3,100,964 32.33
95,657 300 95,507 3,005,179 31.42
95,357 318 95,196 2,909,672 30.51
95,039 394 94,843 2,814,476 29.61
94,645 376 94,463 2,719,634 28.74
94,269 388 94,062 2,625,171 27.85
93,881 417 93,666 2,531,109 26.96
93,465 506 93,216 2,437,443 26.08
92,959 489 92,726 2,344,227 25.22
92,470 548 92,170 2,251,501 24.35
91,922 636 91,629 2,159,331 23.49
91,286 617 90,984 2,067,702 22.65
90,669 740 90,301 1,976,718 21.80
89,929 805 89,512 1,886,417 20.98
89,125 832 88,717 1,796,905 20.16
88,292 986 87,823 1,708,188 19.35
87,307 1,068 86,777 1,620,366 18.56
86,239 1,068 85,728 1,533,588 17.78
85,171 1,150 84,611 1,447,860 17.00
84,020 1,415 83,347 1,363,249 16.23
82,605 1,432 81,905 1,279,903 15.49
81,173 1,578 80,393 1,197,998 14.76
79,596 1,717 78,754 1,117,604 14.04
77,879 1,786 77,018 1,038,851 13.34
76,093 1,981 75,144 961,832 12.64
74,112 2,109 73,086 886,689 11.96
72,003 2,367 70,810 813,603 11.30
69,635 2,557 68,346 742,793 10.67
67,078 2,729 65,708 674,447 10.05
64,349 2,953 62,853 608,739 9.46
61,395 2,999 59,915 545,886 8.89
58,397 3,469 56,696 485,971 8.32
54,928 3,543 53,171 429,275 7.82
51,384 3,715 49,560 376,104 7.32
47,669 3,974 45,672 326,544 6.85
43,695 3,838 41,795 280,872 6.43
39,857 4,222 37,763 239,077 6.00
35,635 3,978 33,673 201,314 5.65
31,657 4,115 29,603 167,642 5.30
27,542 3,964 25,565 138,039 5.01
23,578 23,578 112,474 112,474 4.77
Tabla de mortalidad para el total de la población. 1998
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1998 1/1/1999
0 204 43,651 48,587 0.1791 0.00442 0.00441
1 21 44,117 48,580 0.4591 0.00045 0.00045
2 13 44,949 44,989 0.6809 0.00029 0.00029
3 7 45,874 45,528 0.4630 0.00015 0.00015
4 10 47,495 45,935 0.4370 0.00021 0.00021
5 17 49,257 47,493 0.3802 0.00035 0.00035
6 5 48,392 49,531 0.5973 0.00010 0.00010
7 8 48,885 48,208 0.3257 0.00016 0.00016
8 4 50,407 48,666 0.7322 0.00008 0.00008
9 7 50,689 50,278 0.4129 0.00014 0.00014
10 3 52,471 50,605 0.3269 0.00006 0.00006
11 9 54,242 52,362 0.3540 0.00017 0.00017
12 5 57,076 54,223 0.4340 0.00009 0.00009
13 5 59,382 56,856 0.4148 0.00009 0.00009
14 15 61,557 59,223 0.6416 0.00025 0.00025
15 18 66,098 61,574 0.4883 0.00028 0.00028
16 24 70,108 65,538 0.5132 0.00035 0.00035
17 22 73,483 69,865 0.5608 0.00031 0.00031
18 26 78,324 73,248 0.5113 0.00034 0.00034
19 23 83,875 77,928 0.4567 0.00028 0.00028
20 42 87,376 83,347 0.5058 0.00049 0.00049
21 51 92,108 86,945 0.4970 0.00057 0.00057
22 50 93,097 91,669 0.5285 0.00054 0.00054
23 43 93,716 92,467 0.5198 0.00046 0.00046
24 49 92,096 93,334 0.5789 0.00053 0.00053
25 37 91,504 91,753 0.4672 0.00040 0.00040
26 58 91,217 91,163 0.4707 0.00064 0.00064
27 78 88,906 91,089 0.4965 0.00087 0.00087
28 63 88,464 88,962 0.4759 0.00071 0.00071
29 59 87,920 88,533 0.4796 0.00067 0.00067
30 80 88,589 88,079 0.5008 0.00091 0.00091
31 83 87,502 88,845 0.4823 0.00094 0.00094
32 86 87,871 87,813 0.5241 0.00098 0.00098
33 99 88,305 88,388 0.5083 0.00112 0.00112
34 108 85,022 88,645 0.5171 0.00124 0.00124
35 79 82,425 85,238 0.4432 0.00094 0.00094
36 82 80,008 82,726 0.4982 0.00101 0.00101
37 104 80,249 80,277 0.4799 0.00130 0.00129
38 106 78,755 80,596 0.4931 0.00133 0.00133
39 126 77,501 78,972 0.5480 0.00161 0.00161
40 100 77,140 77,658 0.5284 0.00129 0.00129
41 128 72,226 77,395 0.5243 0.00171 0.00171
42 100 70,698 72,283 0.5301 0.00140 0.00140
43 122 67,935 70,790 0.5153 0.00176 0.00176
44 122 69,055 67,967 0.5329 0.00178 0.00178
45 143 68,720 69,011 0.5160 0.00208 0.00207
46 142 65,472 68,763 0.4797 0.00212 0.00211
47 139 65,539 65,618 0.4787 0.00212 0.00212
48 157 68,979 65,545 0.5598 0.00233 0.00233
49 190 73,039 69,016 0.5369 0.00268 0.00267
50 202 66,623 73,054 0.4830 0.00289 0.00289
51 200 62,613 66,581 0.5096 0.00310 0.00309
52 240 66,340 62,474 0.5051 0.00373 0.00372
53 233 64,215 66,281 0.4834 0.00357 0.00356
54 231 62,233 64,087 0.5162 0.00366 0.00365
55 263 52,889 62,244 0.4969 0.00457 0.00456
56 219 47,939 52,832 0.4901 0.00435 0.00434
57 286 62,120 47,840 0.5169 0.00520 0.00519
58 287 38,561 62,034 0.4858 0.00571 0.00569
59 248 45,377 38,539 0.5216 0.00591 0.00589
60 312 49,225 45,426 0.4882 0.00659 0.00657
61 408 53,373 49,232 0.4966 0.00795 0.00792
62 446 50,643 53,437 0.4874 0.00857 0.00853
63 431 50,284 50,659 0.5259 0.00854 0.00851
64 504 51,257 50,349 0.5212 0.00992 0.00987
65 553 49,835 51,300 0.5053 0.01094 0.01088
66 505 47,320 49,919 0.4923 0.01039 0.01033
67 649 47,053 47,383 0.5117 0.01374 0.01365
68 641 45,044 47,049 0.5115 0.01392 0.01383
69 706 43,810 45,013 0.5089 0.01590 0.01577
70 707 39,840 43,815 0.5087 0.01690 0.01676
71 834 39,462 39,850 0.5071 0.02103 0.02082
72 840 36,288 39,445 0.4950 0.02218 0.02194
73 877 35,076 36,296 0.5002 0.02458 0.02428
74 927 33,525 35,103 0.5140 0.02702 0.02667
75 1,029 32,249 33,540 0.5274 0.03128 0.03083
76 1,097 28,821 32,294 0.4901 0.03590 0.03525
77 1,101 26,292 28,851 0.4939 0.03993 0.03914
78 1,035 21,979 26,412 0.5019 0.04278 0.04188
79 1,071 20,866 21,977 0.5192 0.05000 0.04882
80 1,129 19,582 20,909 0.4882 0.05577 0.05422
81 1,150 17,880 19,640 0.5008 0.06130 0.05948
82 1,214 17,044 17,966 0.5199 0.06935 0.06712
83 1,282 15,426 17,066 0.5222 0.07891 0.07604
84 1,255 14,145 15,547 0.5021 0.08453 0.08112
85 1,365 12,474 14,200 0.4906 0.10235 0.09728
86 1,339 10,656 12,521 0.4879 0.11555 0.10909
87 1,221 9,057 10,661 0.4925 0.12385 0.11652
88 1,170 7,472 9,103 0.4916 0.14118 0.13172
89 1,039 5,964 7,473 0.4932 0.15465 0.14341
90 5,192 18,718 24,819 0.23851 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 441 99,638 7,979,262 79.79
99,559 45 99,535 7,879,624 79.15
99,514 29 99,505 7,780,089 78.18
99,485 15 99,477 7,680,584 77.20
99,470 21 99,458 7,581,107 76.21
99,449 35 99,427 7,481,649 75.23
99,414 10 99,410 7,382,222 74.26
99,404 16 99,393 7,282,812 73.26
99,387 8 99,385 7,183,419 72.28
99,379 14 99,371 7,084,034 71.28
99,366 6 99,362 6,984,663 70.29
99,360 17 99,349 6,885,301 69.30
99,343 9 99,338 6,785,952 68.31
99,334 9 99,329 6,686,614 67.31
99,326 25 99,317 6,587,285 66.32
99,301 28 99,287 6,487,968 65.34
99,273 35 99,256 6,388,682 64.35
99,238 30 99,224 6,289,426 63.38
99,207 34 99,191 6,190,201 62.40
99,173 28 99,158 6,091,011 61.42
99,145 49 99,121 5,991,853 60.44
99,096 56 99,068 5,892,732 59.46
99,040 54 99,015 5,793,664 58.50
98,986 46 98,964 5,694,649 57.53
98,941 52 98,919 5,595,685 56.56
98,888 40 98,867 5,496,766 55.59
98,848 63 98,815 5,397,899 54.61
98,786 86 98,742 5,299,084 53.64
98,700 70 98,663 5,200,341 52.69
98,630 66 98,596 5,101,678 51.73
98,564 89 98,519 5,003,083 50.76
98,475 93 98,427 4,904,563 49.81
98,382 96 98,336 4,806,136 48.85
98,286 110 98,232 4,707,800 47.90
98,176 122 98,117 4,609,568 46.95
98,054 92 98,002 4,511,452 46.01
97,961 99 97,912 4,413,449 45.05
97,863 127 97,797 4,315,538 44.10
97,736 130 97,670 4,217,741 43.15
97,606 157 97,535 4,120,071 42.21
97,449 126 97,390 4,022,536 41.28
97,323 166 97,244 3,925,146 40.33
97,157 136 97,093 3,827,902 39.40
97,021 171 96,938 3,730,809 38.45
96,850 172 96,770 3,633,871 37.52
96,678 201 96,581 3,537,101 36.59
96,478 204 96,371 3,440,520 35.66
96,274 204 96,167 3,344,148 34.74
96,070 224 95,971 3,247,981 33.81
95,846 256 95,727 3,152,010 32.89
95,590 276 95,447 3,056,283 31.97
95,314 295 95,169 2,960,836 31.06
95,019 353 94,844 2,865,667 30.16
94,666 337 94,491 2,770,822 29.27
94,328 344 94,162 2,676,331 28.37
93,984 428 93,768 2,582,170 27.47
93,555 406 93,348 2,488,401 26.60
93,150 483 92,916 2,395,053 25.71
92,666 527 92,395 2,302,137 24.84
92,139 543 91,879 2,209,742 23.98
91,596 602 91,288 2,117,862 23.12
90,994 721 90,631 2,026,574 22.27
90,273 770 89,879 1,935,943 21.45
89,503 761 89,142 1,846,064 20.63
88,742 876 88,322 1,756,922 19.80
87,866 956 87,393 1,668,600 18.99
86,910 898 86,454 1,581,207 18.19
86,012 1,174 85,439 1,494,753 17.38
84,838 1,173 84,265 1,409,314 16.61
83,665 1,320 83,017 1,325,050 15.84
82,345 1,380 81,667 1,242,033 15.08
80,965 1,685 80,134 1,160,366 14.33
79,279 1,739 78,401 1,080,232 13.63
77,540 1,882 76,599 1,001,831 12.92
75,658 2,017 74,677 925,232 12.23
73,640 2,270 72,567 850,555 11.55
71,370 2,516 70,087 777,988 10.90
68,854 2,695 67,490 707,901 10.28
66,159 2,771 64,779 640,410 9.68
63,388 3,095 61,900 575,632 9.08
60,293 3,269 58,620 513,732 8.52
57,024 3,392 55,331 455,111 7.98
53,632 3,600 51,904 399,780 7.45
50,033 3,805 48,215 347,876 6.95
46,228 3,750 44,361 299,661 6.48
42,478 4,132 40,373 255,300 6.01
38,346 4,183 36,204 214,927 5.60
34,163 3,981 32,143 178,724 5.23
30,182 3,976 28,161 146,581 4.86
26,206 3,758 24,302 118,420 4.52
22,448 22,448 94,119 94,119 4.19
Tabla de mortalidad para el total de la población. 1997
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1997 1/1/1998
0 233 45,236 43,651 0.1202 0.00524 0.00522
1 17 45,678 44,117 0.5342 0.00038 0.00038
2 13 46,950 44,949 0.4742 0.00028 0.00028
3 5 47,798 45,874 0.6005 0.00011 0.00011
4 14 47,966 47,495 0.3192 0.00029 0.00029
5 6 48,481 49,257 0.4187 0.00012 0.00012
6 12 48,779 48,392 0.3571 0.00025 0.00025
7 13 49,193 48,885 0.3543 0.00027 0.00027
8 9 50,894 50,407 0.4463 0.00018 0.00018
9 7 51,907 50,689 0.7186 0.00014 0.00014
10 2 54,185 52,471 0.8849 0.00004 0.00004
11 8 56,179 54,242 0.7038 0.00014 0.00014
12 5 58,675 57,076 0.5151 0.00009 0.00009
13 14 61,915 59,382 0.5239 0.00023 0.00023
14 15 64,933 61,557 0.5178 0.00024 0.00024
15 18 68,883 66,098 0.5912 0.00027 0.00027
16 27 73,473 70,108 0.5865 0.00038 0.00038
17 22 77,982 73,483 0.5346 0.00029 0.00029
18 30 82,148 78,324 0.3848 0.00037 0.00037
19 38 87,194 83,875 0.5706 0.00044 0.00044
20 36 89,323 87,376 0.5174 0.00041 0.00041
21 32 91,840 92,108 0.5006 0.00035 0.00035
22 52 91,484 93,097 0.5292 0.00056 0.00056
23 40 91,433 93,716 0.5107 0.00043 0.00043
24 41 90,434 92,096 0.4764 0.00045 0.00045
25 61 88,959 91,504 0.5031 0.00068 0.00068
26 55 88,470 91,217 0.5542 0.00061 0.00061
27 73 86,798 88,906 0.4715 0.00083 0.00083
28 55 86,916 88,464 0.5350 0.00063 0.00063
29 78 86,225 87,920 0.5152 0.00090 0.00090
30 101 86,855 88,589 0.4571 0.00115 0.00115
31 120 86,526 87,502 0.4919 0.00138 0.00138
32 102 85,142 87,871 0.5027 0.00118 0.00118
33 119 84,212 88,305 0.5225 0.00138 0.00138
34 102 81,626 85,022 0.4650 0.00122 0.00122
35 109 80,453 82,425 0.4517 0.00134 0.00134
36 119 78,653 80,008 0.4819 0.00150 0.00150
37 122 78,260 80,249 0.4862 0.00154 0.00154
38 130 77,393 78,755 0.5245 0.00167 0.00166
39 117 74,331 77,501 0.4973 0.00154 0.00154
40 102 73,474 77,140 0.4780 0.00135 0.00135
41 118 69,607 72,226 0.4669 0.00166 0.00166
42 103 69,561 70,698 0.5238 0.00147 0.00147
43 115 68,080 67,935 0.5201 0.00169 0.00169
44 133 67,099 69,055 0.5070 0.00195 0.00195
45 126 66,984 68,720 0.5086 0.00186 0.00186
46 158 67,177 65,472 0.5263 0.00238 0.00238
47 156 69,249 65,539 0.4965 0.00231 0.00231
48 167 67,821 68,979 0.5368 0.00244 0.00244
49 200 67,854 73,039 0.4734 0.00284 0.00283
50 179 66,656 66,623 0.5119 0.00269 0.00268
51 203 63,629 62,613 0.5171 0.00322 0.00321
52 221 64,621 66,340 0.4997 0.00338 0.00337
53 223 58,874 64,215 0.5514 0.00362 0.00362
54 249 55,401 62,233 0.4652 0.00423 0.00422
55 220 58,024 52,889 0.5340 0.00397 0.00396
56 272 43,637 47,939 0.5220 0.00594 0.00592
57 254 54,301 62,120 0.4642 0.00436 0.00435
58 221 44,508 38,561 0.5045 0.00532 0.00531
59 283 50,208 45,377 0.4961 0.00592 0.00590
60 355 50,744 49,225 0.5162 0.00710 0.00708
61 387 52,707 53,373 0.5160 0.00730 0.00727
62 425 52,006 50,643 0.5356 0.00828 0.00825
63 448 51,062 50,284 0.5337 0.00884 0.00880
64 506 50,273 51,257 0.4981 0.00997 0.00992
65 500 49,428 49,835 0.4946 0.01007 0.01002
66 560 47,240 47,320 0.4868 0.01184 0.01177
67 612 46,489 47,053 0.4921 0.01309 0.01300
68 668 43,548 45,044 0.4839 0.01508 0.01496
69 684 42,839 43,810 0.4940 0.01579 0.01566
70 756 39,274 39,840 0.5109 0.01911 0.01893
71 704 38,572 39,462 0.5028 0.01804 0.01788
72 787 36,280 36,288 0.5118 0.02169 0.02146
73 878 35,065 35,076 0.5077 0.02504 0.02473
74 927 32,710 33,525 0.5038 0.02799 0.02761
75 964 30,752 32,249 0.5054 0.03060 0.03015
76 1,020 26,715 28,821 0.5053 0.03673 0.03608
77 998 24,935 26,292 0.5011 0.03896 0.03822
78 812 22,296 21,979 0.4915 0.03668 0.03601
79 970 20,881 20,866 0.5025 0.04647 0.04542
80 1,000 19,921 19,582 0.4917 0.05063 0.04936
81 1,116 18,355 17,880 0.5276 0.06160 0.05986
82 1,120 17,306 17,044 0.4986 0.06521 0.06315
83 1,176 15,668 15,426 0.4973 0.07564 0.07287
84 1,326 13,990 14,145 0.5115 0.09426 0.09011
85 1,190 12,345 12,474 0.4902 0.09590 0.09143
86 1,162 10,570 10,656 0.4907 0.10949 0.10371
87 1,122 8,867 9,057 0.4992 0.12520 0.11781
88 1,072 7,355 7,472 0.4895 0.14461 0.13466
89 932 5,968 5,964 0.4832 0.15623 0.14455
90 4,639 19,070 18,718 0.24553 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 522 99,541 7,963,686 79.64
99,478 38 99,461 7,864,145 79.05
99,440 28 99,426 7,764,685 78.08
99,412 11 99,408 7,665,259 77.11
99,402 29 99,382 7,565,851 76.11
99,373 12 99,366 7,466,469 75.14
99,360 25 99,345 7,367,104 74.15
99,336 26 99,319 7,267,759 73.16
99,310 18 99,300 7,168,440 72.18
99,292 14 99,288 7,069,140 71.20
99,278 4 99,278 6,969,852 70.21
99,275 14 99,270 6,870,574 69.21
99,260 9 99,256 6,771,304 68.22
99,252 23 99,241 6,672,048 67.22
99,229 24 99,217 6,572,807 66.24
99,205 26 99,194 6,473,590 65.25
99,179 37 99,163 6,374,395 64.27
99,141 29 99,128 6,275,232 63.30
99,113 37 99,090 6,176,104 62.31
99,076 44 99,057 6,077,014 61.34
99,032 40 99,012 5,977,957 60.36
98,991 34 98,974 5,878,945 59.39
98,957 56 98,931 5,779,971 58.41
98,901 43 98,880 5,681,041 57.44
98,858 44 98,835 5,582,160 56.47
98,814 67 98,781 5,483,325 55.49
98,747 60 98,720 5,384,545 54.53
98,687 82 98,643 5,285,824 53.56
98,605 62 98,576 5,187,181 52.61
98,543 88 98,500 5,088,605 51.64
98,455 113 98,393 4,990,105 50.68
98,341 136 98,273 4,891,711 49.74
98,206 116 98,148 4,793,439 48.81
98,090 135 98,026 4,695,291 47.87
97,955 120 97,891 4,597,265 46.93
97,835 131 97,763 4,499,374 45.99
97,704 146 97,628 4,401,611 45.05
97,558 150 97,481 4,303,982 44.12
97,408 162 97,331 4,206,502 43.18
97,246 150 97,170 4,109,171 42.26
97,096 131 97,027 4,012,001 41.32
96,965 161 96,879 3,914,973 40.38
96,803 142 96,736 3,818,095 39.44
96,661 163 96,583 3,721,359 38.50
96,498 188 96,405 3,624,776 37.56
96,310 179 96,222 3,528,371 36.64
96,131 229 96,023 3,432,149 35.70
95,902 222 95,791 3,336,127 34.79
95,680 233 95,572 3,240,336 33.87
95,447 271 95,305 3,144,764 32.95
95,176 255 95,052 3,049,459 32.04
94,921 305 94,774 2,954,407 31.12
94,616 319 94,457 2,859,633 30.22
94,298 341 94,145 2,765,177 29.32
93,956 397 93,744 2,671,032 28.43
93,560 370 93,387 2,577,288 27.55
93,189 552 92,925 2,483,901 26.65
92,637 403 92,421 2,390,976 25.81
92,234 489 91,991 2,298,555 24.92
91,744 542 91,471 2,206,563 24.05
91,203 646 90,890 2,115,092 23.19
90,557 658 90,239 2,024,201 22.35
89,899 742 89,554 1,933,963 21.51
89,157 785 88,791 1,844,409 20.69
88,372 876 87,932 1,755,617 19.87
87,496 877 87,052 1,667,685 19.06
86,619 1,020 86,095 1,580,633 18.25
85,599 1,113 85,034 1,494,537 17.46
84,486 1,264 83,834 1,409,503 16.68
83,222 1,303 82,563 1,325,670 15.93
81,919 1,551 81,160 1,243,107 15.17
80,367 1,437 79,653 1,161,947 14.46
78,930 1,694 78,103 1,082,294 13.71
77,236 1,910 76,296 1,004,191 13.00
75,326 2,080 74,294 927,895 12.32
73,247 2,208 72,154 853,601 11.65
71,038 2,563 69,771 781,446 11.00
68,476 2,617 67,170 711,676 10.39
65,858 2,371 64,652 644,506 9.79
63,487 2,884 62,052 579,854 9.13
60,603 2,991 59,083 517,801 8.54
57,612 3,448 55,983 458,719 7.96
54,163 3,420 52,449 402,736 7.44
50,743 3,698 48,884 350,287 6.90
47,046 4,239 44,975 301,403 6.41
42,806 3,914 40,811 256,428 5.99
38,893 4,033 36,838 215,617 5.54
34,859 4,107 32,802 178,779 5.13
30,752 4,141 28,638 145,977 4.75
26,611 3,847 24,623 117,339 4.41
22,764 22,764 92,716 92,716 4.07
Tabla de mortalidad para el total de la población. 1996
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1996 1/1/1997
0 199 46,821 45,236 0.1586 0.00432 0.00431
1 25 47,239 45,678 0.4483 0.00054 0.00054
2 20 48,950 46,950 0.4183 0.00042 0.00042
3 17 49,722 47,798 0.5763 0.00035 0.00035
4 7 48,436 47,966 0.2767 0.00015 0.00015
5 11 47,704 48,481 0.4431 0.00023 0.00023
6 10 49,166 48,779 0.4762 0.00020 0.00020
7 6 49,500 49,193 0.5583 0.00012 0.00012
8 10 51,381 50,894 0.3918 0.00020 0.00020
9 7 53,124 51,907 0.4301 0.00013 0.00013
10 6 55,898 54,185 0.4645 0.00011 0.00011
11 14 58,115 56,179 0.4770 0.00024 0.00024
12 11 60,273 58,675 0.6242 0.00018 0.00018
13 6 64,447 61,915 0.3169 0.00009 0.00009
14 17 68,308 64,933 0.4984 0.00026 0.00026
15 16 71,667 68,883 0.4549 0.00023 0.00023
16 18 76,838 73,473 0.3857 0.00024 0.00024
17 22 82,481 77,982 0.4663 0.00027 0.00027
18 34 85,972 82,148 0.5347 0.00040 0.00040
19 36 90,513 87,194 0.4384 0.00041 0.00041
20 46 91,270 89,323 0.4511 0.00051 0.00051
21 50 91,572 91,840 0.5301 0.00055 0.00055
22 48 89,871 91,484 0.4584 0.00053 0.00053
23 56 89,149 91,433 0.4960 0.00062 0.00062
24 65 88,771 90,434 0.4430 0.00073 0.00073
25 72 86,413 88,959 0.4841 0.00082 0.00082
26 84 85,722 88,470 0.4906 0.00096 0.00096
27 89 84,690 86,798 0.4970 0.00104 0.00104
28 101 85,367 86,916 0.5243 0.00117 0.00117
29 128 84,530 86,225 0.5373 0.00150 0.00150
30 146 85,121 86,855 0.4691 0.00170 0.00170
31 178 85,550 86,526 0.5043 0.00207 0.00207
32 149 82,412 85,142 0.4972 0.00178 0.00178
33 159 80,118 84,212 0.4815 0.00194 0.00193
34 163 78,229 81,626 0.5238 0.00204 0.00204
35 162 78,480 80,453 0.5180 0.00204 0.00204
36 134 77,297 78,653 0.5084 0.00172 0.00172
37 144 76,270 78,260 0.4921 0.00186 0.00186
38 145 76,031 77,393 0.5129 0.00189 0.00189
39 135 71,161 74,331 0.5215 0.00186 0.00185
40 147 69,808 73,474 0.5219 0.00205 0.00205
41 137 66,987 69,607 0.5161 0.00201 0.00200
42 120 68,423 69,561 0.5211 0.00174 0.00174
43 133 68,224 68,080 0.5141 0.00195 0.00195
44 131 65,143 67,099 0.4854 0.00198 0.00198
45 133 65,248 66,984 0.5088 0.00201 0.00201
46 145 68,882 67,177 0.5101 0.00213 0.00213
47 171 72,959 69,249 0.5229 0.00240 0.00240
48 211 66,663 67,821 0.4931 0.00314 0.00313
49 183 62,669 67,854 0.4911 0.00280 0.00280
50 201 66,688 66,656 0.5429 0.00301 0.00301
51 227 64,645 63,629 0.4808 0.00354 0.00353
52 223 62,901 64,621 0.4959 0.00350 0.00349
53 215 53,532 58,874 0.5183 0.00383 0.00382
54 193 48,569 55,401 0.4857 0.00371 0.00371
55 251 63,158 58,024 0.5448 0.00414 0.00413
56 290 39,334 43,637 0.4431 0.00699 0.00696
57 228 46,482 54,301 0.5455 0.00452 0.00452
58 304 50,455 44,508 0.5073 0.00640 0.00638
59 374 55,039 50,208 0.5099 0.00711 0.00708
60 378 52,262 50,744 0.5312 0.00734 0.00731
61 385 52,040 52,707 0.4974 0.00735 0.00732
62 442 53,369 52,006 0.4858 0.00839 0.00835
63 508 51,840 51,062 0.4998 0.00987 0.00982
64 506 49,288 50,273 0.5070 0.01016 0.01011
65 559 49,020 49,428 0.4959 0.01136 0.01129
66 542 47,159 47,240 0.5112 0.01148 0.01142
67 655 45,925 46,489 0.4911 0.01418 0.01407
68 641 42,051 43,548 0.5094 0.01498 0.01487
69 681 41,868 42,839 0.4949 0.01608 0.01595
70 724 38,708 39,274 0.4998 0.01857 0.01840
71 734 37,682 38,572 0.5023 0.01925 0.01907
72 782 36,272 36,280 0.5121 0.02156 0.02133
73 866 35,054 35,065 0.4927 0.02470 0.02440
74 908 31,895 32,710 0.5001 0.02811 0.02772
75 920 29,254 30,752 0.4913 0.03066 0.03019
76 947 24,609 26,715 0.4856 0.03690 0.03622
77 908 23,578 24,935 0.5246 0.03743 0.03678
78 954 22,612 22,296 0.5101 0.04249 0.04162
79 1,080 20,895 20,881 0.5058 0.05170 0.05042
80 1,123 20,259 19,921 0.4992 0.05590 0.05438
81 1,114 18,829 18,355 0.5067 0.05992 0.05820
82 1,200 17,568 17,306 0.5063 0.06882 0.06656
83 1,262 15,910 15,668 0.4972 0.07993 0.07684
84 1,220 13,834 13,990 0.4954 0.08770 0.08398
85 1,220 12,215 12,345 0.4958 0.09935 0.09461
86 1,212 10,483 10,570 0.4957 0.11514 0.10882
87 1,129 8,676 8,867 0.4823 0.12872 0.12067
88 1,046 7,237 7,355 0.4898 0.14337 0.13360
89 998 5,971 5,968 0.4829 0.16719 0.15389
90 4,404 19,421 19,070 0.22883 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 431 99,638 7,902,532 79.03
99,569 54 99,540 7,802,895 78.37
99,516 41 99,492 7,703,355 77.41
99,474 35 99,459 7,603,864 76.44
99,439 14 99,429 7,504,404 75.47
99,425 23 99,412 7,404,975 74.48
99,402 20 99,392 7,305,563 73.49
99,382 12 99,377 7,206,171 72.51
99,370 19 99,358 7,106,794 71.52
99,351 13 99,343 7,007,436 70.53
99,337 11 99,331 6,908,093 69.54
99,326 24 99,314 6,808,762 68.55
99,302 18 99,295 6,709,448 67.57
99,284 9 99,277 6,610,153 66.58
99,274 25 99,262 6,510,876 65.58
99,249 23 99,237 6,411,614 64.60
99,226 24 99,212 6,312,377 63.62
99,203 27 99,188 6,213,166 62.63
99,175 40 99,157 6,113,978 61.65
99,135 40 99,113 6,014,821 60.67
99,095 50 99,067 5,915,708 59.70
99,045 54 99,019 5,816,641 58.73
98,991 52 98,962 5,717,621 57.76
98,938 61 98,907 5,618,659 56.79
98,877 72 98,837 5,519,752 55.82
98,805 81 98,763 5,420,914 54.86
98,724 95 98,676 5,322,151 53.91
98,629 102 98,578 5,223,475 52.96
98,527 115 98,472 5,124,898 52.02
98,411 147 98,343 5,026,426 51.08
98,264 167 98,175 4,928,083 50.15
98,097 203 97,997 4,829,908 49.24
97,894 174 97,807 4,731,911 48.34
97,720 189 97,622 4,634,104 47.42
97,531 199 97,437 4,536,482 46.51
97,333 198 97,237 4,439,045 45.61
97,135 167 97,053 4,341,808 44.70
96,968 181 96,876 4,244,755 43.77
96,787 183 96,698 4,147,879 42.86
96,604 179 96,519 4,051,181 41.94
96,425 198 96,331 3,954,662 41.01
96,228 193 96,134 3,858,331 40.10
96,035 167 95,955 3,762,197 39.18
95,868 187 95,777 3,666,242 38.24
95,681 189 95,584 3,570,465 37.32
95,492 192 95,397 3,474,881 36.39
95,300 203 95,200 3,379,484 35.46
95,097 228 94,988 3,284,284 34.54
94,868 297 94,718 3,189,296 33.62
94,571 265 94,436 3,094,578 32.72
94,306 284 94,177 3,000,142 31.81
94,022 332 93,850 2,905,965 30.91
93,690 327 93,525 2,812,115 30.02
93,363 356 93,191 2,718,590 29.12
93,007 345 92,829 2,625,398 28.23
92,662 383 92,488 2,532,569 27.33
92,279 643 91,921 2,440,081 26.44
91,636 414 91,448 2,348,160 25.62
91,223 582 90,936 2,256,712 24.74
90,640 642 90,326 2,165,776 23.89
89,998 658 89,690 2,075,450 23.06
89,340 654 89,011 1,985,760 22.23
88,686 741 88,305 1,896,749 21.39
87,945 864 87,513 1,808,444 20.56
87,081 881 86,647 1,720,931 19.76
86,200 973 85,710 1,634,285 18.96
85,227 973 84,751 1,548,575 18.17
84,254 1,186 83,650 1,463,824 17.37
83,068 1,235 82,462 1,380,174 16.62
81,833 1,305 81,174 1,297,712 15.86
80,528 1,482 79,787 1,216,538 15.11
79,046 1,507 78,296 1,136,751 14.38
77,539 1,654 76,732 1,058,456 13.65
75,885 1,851 74,946 981,724 12.94
74,034 2,052 73,008 906,778 12.25
71,981 2,173 70,876 833,770 11.58
69,808 2,528 68,508 762,895 10.93
67,280 2,474 66,104 694,387 10.32
64,805 2,697 63,484 628,284 9.69
62,108 3,131 60,561 564,800 9.09
58,977 3,207 57,371 504,239 8.55
55,770 3,246 54,169 446,868 8.01
52,524 3,496 50,798 392,699 7.48
49,028 3,767 47,134 341,901 6.97
45,261 3,801 43,343 294,767 6.51
41,460 3,923 39,482 251,424 6.06
37,537 4,085 35,477 211,942 5.65
33,452 4,037 31,363 176,465 5.28
29,416 3,930 27,411 145,102 4.93
25,486 3,922 23,458 117,692 4.62
21,564 21,564 94,234 94,234 4.37
Tabla de mortalidad para el total de la población. 1995
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1995 1/1/1996
0 234 47,414 46,821 0.1441 0.00497 0.00495
1 34 49,109 47,239 0.5043 0.00071 0.00071
2 21 49,948 48,950 0.4372 0.00042 0.00042
3 14 48,644 49,722 0.5689 0.00028 0.00028
4 12 48,057 48,436 0.4874 0.00025 0.00025
5 7 49,400 47,704 0.4223 0.00014 0.00014
6 9 49,725 49,166 0.4368 0.00018 0.00018
7 4 51,588 49,500 0.6260 0.00008 0.00008
8 5 53,245 51,381 0.2866 0.00010 0.00010
9 8 55,751 53,124 0.2777 0.00015 0.00015
10 6 57,949 55,898 0.5434 0.00011 0.00011
11 5 60,037 58,115 0.5266 0.00008 0.00008
12 10 64,258 60,273 0.4852 0.00016 0.00016
13 12 68,075 64,447 0.5527 0.00018 0.00018
14 12 71,525 68,308 0.6123 0.00017 0.00017
15 20 76,542 71,667 0.4807 0.00027 0.00027
16 34 82,100 76,838 0.5164 0.00043 0.00043
17 35 85,596 82,481 0.4402 0.00042 0.00042
18 33 90,065 85,972 0.5310 0.00037 0.00037
19 39 90,976 90,513 0.5483 0.00043 0.00043
20 41 91,206 91,270 0.5030 0.00045 0.00045
21 56 89,698 91,572 0.4371 0.00062 0.00062
22 54 89,086 89,871 0.4800 0.00060 0.00060
23 71 88,630 89,149 0.5414 0.00080 0.00080
24 71 86,418 88,771 0.5250 0.00081 0.00081
25 94 85,714 86,413 0.4126 0.00109 0.00109
26 87 84,654 85,722 0.5317 0.00102 0.00102
27 114 85,370 84,690 0.5885 0.00134 0.00134
28 117 84,357 85,367 0.5108 0.00138 0.00138
29 128 85,051 84,530 0.5125 0.00151 0.00151
30 153 85,362 85,121 0.5279 0.00179 0.00179
31 152 82,247 85,550 0.4913 0.00181 0.00181
32 156 80,016 82,412 0.5038 0.00192 0.00192
33 198 78,168 80,118 0.5390 0.00250 0.00250
34 177 78,610 78,229 0.4746 0.00226 0.00225
35 175 77,225 78,480 0.4774 0.00225 0.00225
36 142 76,221 77,297 0.5181 0.00185 0.00185
37 129 75,946 76,270 0.5106 0.00169 0.00169
38 123 71,088 76,031 0.4883 0.00167 0.00167
39 118 69,794 71,161 0.4696 0.00167 0.00167
40 122 66,965 69,808 0.5408 0.00178 0.00178
41 125 68,370 66,987 0.4993 0.00185 0.00185
42 118 68,230 68,423 0.4840 0.00173 0.00173
43 134 65,159 68,224 0.4560 0.00201 0.00201
44 136 65,613 65,143 0.4721 0.00208 0.00208
45 147 68,918 65,248 0.5353 0.00219 0.00219
46 180 73,117 68,882 0.5171 0.00254 0.00253
47 173 66,794 72,959 0.5121 0.00248 0.00247
48 151 62,735 66,663 0.5104 0.00233 0.00233
49 181 67,017 62,669 0.5232 0.00279 0.00279
50 200 64,802 66,688 0.4463 0.00304 0.00304
51 224 63,087 64,645 0.4933 0.00351 0.00350
52 219 53,841 62,901 0.4982 0.00375 0.00374
53 215 48,799 53,532 0.4923 0.00420 0.00419
54 233 63,789 48,569 0.5270 0.00415 0.00414
55 243 39,606 63,158 0.4840 0.00473 0.00472
56 236 46,862 39,334 0.5580 0.00548 0.00546
57 294 50,844 46,482 0.4960 0.00604 0.00602
58 330 55,559 50,455 0.5199 0.00623 0.00621
59 370 52,785 55,039 0.5132 0.00686 0.00684
60 391 52,581 52,262 0.4980 0.00746 0.00743
61 438 53,987 52,040 0.4945 0.00826 0.00823
62 458 52,529 53,369 0.5299 0.00865 0.00861
63 495 49,961 51,840 0.4999 0.00972 0.00968
64 547 50,018 49,288 0.5163 0.01102 0.01096
65 590 47,968 49,020 0.4984 0.01217 0.01209
66 610 46,720 47,159 0.5007 0.01300 0.01291
67 641 42,873 45,925 0.5177 0.01444 0.01434
68 663 42,750 42,051 0.5063 0.01564 0.01552
69 681 39,662 41,868 0.4974 0.01671 0.01657
70 715 38,585 38,708 0.4798 0.01850 0.01832
71 811 37,206 37,682 0.4912 0.02166 0.02142
72 861 36,020 36,272 0.5015 0.02382 0.02354
73 819 32,847 35,054 0.5129 0.02412 0.02384
74 866 30,355 31,895 0.4833 0.02782 0.02743
75 900 25,515 29,254 0.4891 0.03287 0.03232
76 881 24,551 24,609 0.5130 0.03584 0.03523
77 951 23,628 23,578 0.5151 0.04029 0.03952
78 978 21,909 22,612 0.5135 0.04393 0.04301
79 1,004 21,443 20,895 0.5219 0.04743 0.04638
80 1,093 19,963 20,259 0.5004 0.05435 0.05291
81 1,184 18,809 18,829 0.4896 0.06292 0.06096
82 1,289 17,252 17,568 0.4875 0.07404 0.07133
83 1,230 15,051 15,910 0.4990 0.07945 0.07641
84 1,209 13,454 13,834 0.5126 0.08861 0.08494
85 1,130 11,587 12,215 0.5004 0.09495 0.09065
86 1,057 9,709 10,483 0.4946 0.10469 0.09943
87 1,034 8,227 8,676 0.4950 0.12235 0.11523
88 981 6,879 7,237 0.4788 0.13899 0.12960
89 935 5,966 5,971 0.4873 0.15666 0.14501
90 4,094 17,883 19,421 0.21949 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 495 99,577 7,878,441 78.78
99,505 70 99,471 7,778,865 78.18
99,435 42 99,412 7,679,394 77.23
99,393 28 99,381 7,579,982 76.26
99,365 25 99,352 7,480,602 75.28
99,340 14 99,332 7,381,250 74.30
99,326 18 99,316 7,281,918 73.31
99,308 8 99,305 7,182,602 72.33
99,300 9 99,293 7,083,298 71.33
99,290 15 99,280 6,984,004 70.34
99,276 10 99,271 6,884,725 69.35
99,265 8 99,261 6,785,454 68.36
99,257 16 99,249 6,686,193 67.36
99,241 18 99,233 6,586,944 66.37
99,223 17 99,216 6,487,711 65.39
99,206 27 99,192 6,388,495 64.40
99,179 42 99,159 6,289,303 63.41
99,137 41 99,114 6,190,144 62.44
99,095 37 99,078 6,091,030 61.47
99,058 43 99,039 5,991,952 60.49
99,016 44 98,994 5,892,913 59.51
98,971 61 98,937 5,793,920 58.54
98,910 60 98,879 5,694,983 57.58
98,850 79 98,814 5,596,104 56.61
98,772 80 98,733 5,497,290 55.66
98,691 108 98,628 5,398,556 54.70
98,584 101 98,537 5,299,928 53.76
98,483 132 98,429 5,201,391 52.82
98,351 136 98,285 5,102,962 51.89
98,216 148 98,143 5,004,678 50.96
98,067 176 97,984 4,906,534 50.03
97,892 177 97,801 4,808,550 49.12
97,714 188 97,621 4,710,748 48.21
97,527 244 97,415 4,613,127 47.30
97,283 219 97,168 4,515,712 46.42
97,064 218 96,950 4,418,544 45.52
96,846 179 96,760 4,321,594 44.62
96,667 164 96,587 4,224,835 43.71
96,503 161 96,421 4,128,248 42.78
96,342 161 96,257 4,031,827 41.85
96,181 171 96,102 3,935,570 40.92
96,009 177 95,921 3,839,468 39.99
95,832 165 95,747 3,743,548 39.06
95,667 192 95,562 3,647,801 38.13
95,475 198 95,370 3,552,238 37.21
95,277 209 95,180 3,456,868 36.28
95,068 241 94,952 3,361,688 35.36
94,827 234 94,713 3,266,737 34.45
94,593 221 94,485 3,172,024 33.53
94,372 263 94,247 3,077,539 32.61
94,109 286 93,951 2,983,292 31.70
93,823 328 93,657 2,889,342 30.80
93,495 350 93,319 2,795,685 29.90
93,145 391 92,946 2,702,366 29.01
92,754 384 92,573 2,609,419 28.13
92,370 436 92,145 2,516,847 27.25
91,934 502 91,712 2,424,701 26.37
91,432 551 91,155 2,332,989 25.52
90,882 564 90,611 2,241,834 24.67
90,317 618 90,017 2,151,223 23.82
89,700 667 89,365 2,061,207 22.98
89,033 733 88,663 1,971,842 22.15
88,301 761 87,943 1,883,179 21.33
87,540 847 87,116 1,795,236 20.51
86,693 950 86,233 1,708,120 19.70
85,743 1,037 85,223 1,621,887 18.92
84,706 1,094 84,160 1,536,664 18.14
83,612 1,199 83,034 1,452,505 17.37
82,413 1,279 81,782 1,369,471 16.62
81,135 1,344 80,459 1,287,689 15.87
79,790 1,462 79,030 1,207,230 15.13
78,328 1,678 77,475 1,128,200 14.40
76,650 1,804 75,751 1,050,725 13.71
74,846 1,785 73,977 974,975 13.03
73,061 2,004 72,026 900,998 12.33
71,057 2,297 69,884 828,972 11.67
68,761 2,422 67,581 759,088 11.04
66,338 2,622 65,067 691,507 10.42
63,717 2,741 62,383 626,440 9.83
60,976 2,828 59,624 564,057 9.25
58,148 3,077 56,611 504,433 8.67
55,071 3,357 53,358 447,822 8.13
51,714 3,689 49,824 394,464 7.63
48,025 3,670 46,187 344,640 7.18
44,356 3,768 42,519 298,453 6.73
40,588 3,679 38,750 255,934 6.31
36,909 3,670 35,054 217,184 5.88
33,239 3,830 31,305 182,130 5.48
29,409 3,811 27,422 150,826 5.13
25,597 3,712 23,694 123,403 4.82
21,886 21,886 99,709 99,709 4.56
Tabla de mortalidad para el total de la población. 1994
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1994 1/1/1995
0 296 49,238 47,414 0.1717 0.00613 0.00609
1 28 50,273 49,109 0.4633 0.00056 0.00056
2 15 48,785 49,948 0.5016 0.00030 0.00030
3 11 48,394 48,644 0.5345 0.00023 0.00023
4 11 49,606 48,057 0.3390 0.00023 0.00023
5 7 49,957 49,400 0.5789 0.00014 0.00014
6 12 51,757 49,725 0.4267 0.00024 0.00024
7 11 53,357 51,588 0.4379 0.00021 0.00021
8 7 55,590 53,245 0.6524 0.00013 0.00013
9 9 57,772 55,751 0.5510 0.00016 0.00016
10 12 59,783 57,949 0.4922 0.00020 0.00020
11 6 64,039 60,037 0.6037 0.00010 0.00010
12 10 67,826 64,258 0.5422 0.00015 0.00015
13 12 71,363 68,075 0.5900 0.00017 0.00017
14 11 76,196 71,525 0.4476 0.00015 0.00015
15 8 81,698 76,542 0.5914 0.00010 0.00010
16 30 85,222 82,100 0.5311 0.00036 0.00036
17 25 89,594 85,596 0.4956 0.00029 0.00029
18 31 90,674 90,065 0.5358 0.00034 0.00034
19 42 90,813 90,976 0.4822 0.00046 0.00046
20 54 89,507 91,206 0.5309 0.00060 0.00060
21 56 89,016 89,698 0.5138 0.00063 0.00063
22 60 88,462 89,086 0.4706 0.00068 0.00068
23 74 86,420 88,630 0.5848 0.00085 0.00085
24 72 85,695 86,418 0.5018 0.00084 0.00084
25 81 84,591 85,714 0.4980 0.00095 0.00095
26 98 85,345 84,654 0.4785 0.00115 0.00115
27 133 84,158 85,370 0.4966 0.00157 0.00157
28 118 84,960 84,357 0.5127 0.00139 0.00139
29 147 85,149 85,051 0.4817 0.00173 0.00173
30 155 82,067 85,362 0.5362 0.00185 0.00185
31 135 79,882 82,247 0.4679 0.00167 0.00166
32 148 78,019 80,016 0.5017 0.00187 0.00187
33 161 78,714 78,168 0.5024 0.00205 0.00205
34 149 77,086 78,610 0.4902 0.00191 0.00191
35 139 76,172 77,225 0.5144 0.00181 0.00181
36 143 75,855 76,221 0.5001 0.00188 0.00188
37 113 70,959 75,946 0.4861 0.00154 0.00154
38 112 69,782 71,088 0.5115 0.00159 0.00159
39 126 66,905 69,794 0.4817 0.00184 0.00184
40 105 68,263 66,965 0.4298 0.00155 0.00155
41 104 68,241 68,370 0.5329 0.00152 0.00152
42 149 65,141 68,230 0.5121 0.00223 0.00223
43 106 65,972 65,159 0.5324 0.00162 0.00162
44 135 68,930 65,613 0.4759 0.00201 0.00200
45 181 73,274 68,918 0.5062 0.00255 0.00254
46 179 66,919 73,117 0.4647 0.00256 0.00255
47 183 62,807 66,794 0.4968 0.00282 0.00282
48 192 67,321 62,735 0.4797 0.00295 0.00295
49 169 64,929 67,017 0.4342 0.00256 0.00256
50 196 63,225 64,802 0.4746 0.00306 0.00306
51 190 54,104 63,087 0.4871 0.00324 0.00324
52 191 49,017 53,841 0.4942 0.00371 0.00371
53 234 64,419 48,799 0.5285 0.00413 0.00413
54 254 39,857 63,789 0.4339 0.00490 0.00489
55 216 47,148 39,606 0.5069 0.00498 0.00497
56 243 51,186 46,862 0.5248 0.00496 0.00495
57 267 56,002 50,844 0.4865 0.00500 0.00499
58 339 53,244 55,559 0.5100 0.00623 0.00621
59 338 53,057 52,785 0.5265 0.00639 0.00637
60 364 54,556 52,581 0.4863 0.00680 0.00677
61 471 53,181 53,987 0.4947 0.00879 0.00875
62 457 50,598 52,529 0.5113 0.00886 0.00882
63 500 50,922 49,961 0.5078 0.00991 0.00986
64 534 48,747 50,018 0.5314 0.01081 0.01076
65 576 47,494 47,968 0.5045 0.01207 0.01200
66 573 43,658 46,720 0.5084 0.01268 0.01260
67 645 43,598 42,873 0.5267 0.01492 0.01481
68 686 40,627 42,750 0.5075 0.01646 0.01632
69 691 39,456 39,662 0.4901 0.01747 0.01731
70 705 38,084 38,585 0.4967 0.01839 0.01822
71 780 36,936 37,206 0.4951 0.02104 0.02082
72 804 33,769 36,020 0.4972 0.02304 0.02278
73 854 31,454 32,847 0.5067 0.02656 0.02622
74 888 26,428 30,355 0.4946 0.03128 0.03079
75 827 25,503 25,515 0.5094 0.03242 0.03191
76 819 24,573 24,551 0.5207 0.03334 0.03282
77 918 22,926 23,628 0.5069 0.03944 0.03869
78 988 22,603 21,909 0.4883 0.04439 0.04341
79 1,086 21,081 21,443 0.5038 0.05108 0.04981
80 1,080 20,012 19,963 0.4941 0.05403 0.05260
81 1,184 18,476 18,809 0.5001 0.06351 0.06156
82 1,129 16,256 17,252 0.4863 0.06739 0.06513
83 1,187 14,737 15,051 0.5067 0.07970 0.07668
84 1,194 12,839 13,454 0.4935 0.09082 0.08683
85 1,175 10,851 11,587 0.4810 0.10473 0.09933
86 1,092 9,246 9,709 0.4840 0.11522 0.10875
87 1,053 7,915 8,227 0.4949 0.13047 0.12240
88 953 6,922 6,879 0.4924 0.13811 0.12906
89 890 5,438 5,966 0.4697 0.15609 0.14415
90 3,740 16,585 17,883 0.21701 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 609 99,495 7,867,682 78.68
99,391 56 99,361 7,768,186 78.16
99,335 30 99,320 7,668,826 77.20
99,304 23 99,294 7,569,506 76.23
99,282 22 99,267 7,470,212 75.24
99,260 14 99,254 7,370,945 74.26
99,246 23 99,232 7,271,692 73.27
99,222 21 99,210 7,172,459 72.29
99,201 13 99,197 7,073,249 71.30
99,189 16 99,181 6,974,052 70.31
99,173 20 99,163 6,874,871 69.32
99,153 10 99,149 6,775,708 68.34
99,143 15 99,136 6,676,559 67.34
99,128 17 99,121 6,577,423 66.35
99,111 15 99,103 6,478,302 65.36
99,096 10 99,092 6,379,199 64.37
99,086 36 99,069 6,280,107 63.38
99,051 28 99,036 6,181,038 62.40
99,022 34 99,007 6,082,001 61.42
98,988 46 98,965 5,982,995 60.44
98,943 59 98,915 5,884,030 59.47
98,884 62 98,853 5,785,115 58.50
98,822 67 98,786 5,686,262 57.54
98,755 83 98,720 5,587,476 56.58
98,671 83 98,630 5,488,755 55.63
98,589 94 98,542 5,390,125 54.67
98,495 113 98,436 5,291,583 53.72
98,382 154 98,304 5,193,147 52.79
98,227 137 98,161 5,094,843 51.87
98,091 169 98,003 4,996,683 50.94
97,921 181 97,837 4,898,680 50.03
97,740 163 97,654 4,800,843 49.12
97,577 183 97,487 4,703,189 48.20
97,395 200 97,296 4,605,702 47.29
97,195 186 97,100 4,508,407 46.39
97,009 176 96,924 4,411,306 45.47
96,834 182 96,743 4,314,382 44.55
96,652 149 96,575 4,217,640 43.64
96,503 153 96,428 4,121,064 42.70
96,350 177 96,258 4,024,636 41.77
96,172 149 96,087 3,928,378 40.85
96,023 146 95,955 3,832,291 39.91
95,877 214 95,773 3,736,336 38.97
95,663 155 95,591 3,640,563 38.06
95,509 191 95,408 3,544,972 37.12
95,317 242 95,197 3,449,564 36.19
95,075 243 94,945 3,354,367 35.28
94,832 267 94,697 3,259,422 34.37
94,565 279 94,420 3,164,724 33.47
94,286 241 94,149 3,070,305 32.56
94,045 287 93,894 2,976,156 31.65
93,757 304 93,601 2,882,262 30.74
93,454 346 93,278 2,788,660 29.84
93,107 384 92,926 2,695,382 28.95
92,723 453 92,467 2,602,456 28.07
92,270 458 92,044 2,509,989 27.20
91,812 454 91,596 2,417,946 26.34
91,358 455 91,124 2,326,350 25.46
90,902 565 90,625 2,235,226 24.59
90,337 575 90,065 2,144,601 23.74
89,762 608 89,450 2,054,536 22.89
89,154 780 88,760 1,965,086 22.04
88,374 780 87,993 1,876,326 21.23
87,594 864 87,169 1,788,333 20.42
86,730 933 86,293 1,701,164 19.61
85,797 1,029 85,287 1,614,871 18.82
84,768 1,068 84,243 1,529,584 18.04
83,700 1,240 83,113 1,445,341 17.27
82,460 1,346 81,797 1,362,228 16.52
81,114 1,404 80,398 1,280,431 15.79
79,709 1,452 78,978 1,200,034 15.06
78,257 1,629 77,434 1,121,055 14.33
76,628 1,745 75,750 1,043,621 13.62
74,882 1,963 73,914 967,871 12.93
72,919 2,245 71,784 893,957 12.26
70,674 2,255 69,567 822,173 11.63
68,418 2,245 67,342 752,606 11.00
66,173 2,560 64,911 685,264 10.36
63,613 2,761 62,200 620,353 9.75
60,852 3,031 59,348 558,153 9.17
57,820 3,041 56,282 498,805 8.63
54,779 3,372 53,094 442,523 8.08
51,407 3,348 49,687 389,430 7.58
48,059 3,685 46,241 339,742 7.07
44,374 3,853 42,422 293,501 6.61
40,521 4,025 38,432 251,079 6.20
36,496 3,969 34,448 212,647 5.83
32,527 3,981 30,516 178,199 5.48
28,545 3,684 26,675 147,684 5.17
24,861 3,584 22,961 121,008 4.87
21,278 21,278 98,047 98,047 4.61
Tabla de mortalidad para el total de la población. 1993
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1993 1/1/1994
0 322 50,393 49,238 0.1668 0.00646 0.00643
1 31 48,927 50,273 0.4233 0.00063 0.00062
2 21 48,734 48,785 0.4038 0.00043 0.00043
3 11 49,834 48,394 0.3631 0.00022 0.00022
4 16 50,172 49,606 0.4510 0.00032 0.00032
5 10 51,930 49,957 0.5296 0.00020 0.00020
6 13 53,442 51,757 0.3770 0.00025 0.00025
7 8 55,435 53,357 0.5192 0.00015 0.00015
8 11 57,573 55,590 0.3890 0.00019 0.00019
9 10 59,534 57,772 0.5677 0.00017 0.00017
10 12 63,840 59,783 0.5158 0.00019 0.00019
11 15 67,580 64,039 0.3885 0.00023 0.00023
12 13 71,207 67,826 0.4630 0.00019 0.00019
13 12 75,834 71,363 0.4817 0.00016 0.00016
14 13 81,287 76,196 0.5800 0.00017 0.00017
15 26 84,837 81,698 0.6544 0.00031 0.00031
16 27 89,120 85,222 0.5993 0.00031 0.00031
17 36 90,369 89,594 0.5229 0.00040 0.00040
18 48 90,421 90,674 0.5148 0.00053 0.00053
19 57 89,326 90,813 0.4243 0.00063 0.00063
20 58 88,974 89,507 0.4659 0.00065 0.00065
21 62 88,292 89,016 0.5075 0.00070 0.00070
22 66 86,415 88,462 0.5104 0.00075 0.00075
23 68 85,662 86,420 0.4815 0.00079 0.00079
24 91 84,568 85,695 0.5141 0.00107 0.00107
25 110 85,298 84,591 0.4392 0.00129 0.00129
26 105 83,982 85,345 0.4989 0.00124 0.00124
27 142 84,883 84,158 0.5236 0.00168 0.00168
28 145 84,912 84,960 0.5342 0.00171 0.00171
29 136 81,912 85,149 0.5346 0.00163 0.00163
30 167 79,753 82,067 0.5117 0.00206 0.00206
31 179 77,909 79,882 0.5183 0.00227 0.00227
32 166 78,804 78,019 0.4882 0.00212 0.00211
33 166 76,985 78,714 0.4810 0.00213 0.00213
34 142 76,105 77,086 0.5065 0.00185 0.00185
35 116 75,750 76,172 0.4805 0.00153 0.00153
36 141 70,841 75,855 0.4836 0.00192 0.00192
37 107 69,747 70,959 0.5219 0.00152 0.00152
38 100 66,830 69,782 0.4673 0.00146 0.00146
39 114 68,179 66,905 0.4559 0.00169 0.00169
40 114 68,210 68,263 0.4546 0.00167 0.00167
41 105 65,092 68,241 0.4965 0.00158 0.00157
42 115 66,310 65,141 0.4995 0.00175 0.00175
43 120 68,894 65,972 0.5111 0.00178 0.00178
44 135 73,371 68,930 0.5271 0.00190 0.00190
45 159 67,024 73,274 0.5140 0.00227 0.00226
46 160 62,858 66,919 0.5173 0.00247 0.00246
47 200 67,621 62,807 0.5175 0.00307 0.00306
48 195 65,073 67,321 0.5102 0.00295 0.00294
49 207 63,361 64,929 0.5039 0.00323 0.00322
50 165 54,322 63,225 0.4910 0.00281 0.00280
51 170 49,178 54,104 0.4780 0.00329 0.00329
52 175 65,028 49,017 0.5193 0.00307 0.00306
53 266 40,096 64,419 0.5057 0.00509 0.00508
54 195 47,411 39,857 0.5374 0.00447 0.00446
55 217 51,481 47,148 0.4963 0.00440 0.00439
56 287 56,443 51,186 0.4933 0.00533 0.00532
57 320 53,656 56,002 0.4965 0.00584 0.00582
58 312 53,514 53,244 0.5168 0.00584 0.00583
59 385 55,111 53,057 0.4996 0.00712 0.00709
60 412 53,778 54,556 0.5260 0.00761 0.00758
61 401 51,164 53,181 0.5270 0.00769 0.00766
62 436 51,718 50,598 0.5154 0.00852 0.00849
63 464 49,455 50,922 0.5207 0.00925 0.00920
64 532 48,243 48,747 0.5059 0.01097 0.01091
65 542 44,361 47,494 0.4836 0.01180 0.01173
66 617 44,400 43,658 0.5209 0.01401 0.01392
67 613 41,488 43,598 0.4874 0.01441 0.01430
68 652 40,293 40,627 0.5147 0.01611 0.01599
69 731 38,929 39,456 0.5051 0.01865 0.01848
70 732 37,831 38,084 0.5075 0.01928 0.01910
71 809 34,717 36,936 0.5194 0.02258 0.02234
72 798 32,470 33,769 0.4971 0.02409 0.02381
73 804 27,271 31,454 0.5063 0.02738 0.02702
74 778 26,440 26,428 0.4992 0.02943 0.02900
75 847 25,482 25,503 0.4980 0.03323 0.03268
76 866 23,890 24,573 0.4968 0.03574 0.03511
77 945 23,713 22,926 0.5015 0.04052 0.03972
78 1,065 22,183 22,603 0.5115 0.04756 0.04648
79 1,107 21,232 21,081 0.4939 0.05232 0.05097
80 1,166 19,702 20,012 0.5050 0.05872 0.05706
81 1,193 17,471 18,476 0.5055 0.06638 0.06427
82 1,115 15,999 16,256 0.4999 0.06914 0.06683
83 1,159 13,971 14,737 0.5057 0.08074 0.07765
84 1,147 11,962 12,839 0.4903 0.09250 0.08833
85 1,027 10,276 10,851 0.5058 0.09722 0.09276
86 1,096 8,964 9,246 0.5090 0.12037 0.11366
87 1,014 7,927 7,915 0.5092 0.12801 0.12045
88 963 6,276 6,922 0.5108 0.14593 0.13621
89 878 5,297 5,438 0.5042 0.16358 0.15131
90 3,662 15,437 16,585 0.22872 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 643 99,464 7,828,424 78.28
99,357 62 99,321 7,728,960 77.79
99,295 43 99,270 7,629,638 76.84
99,252 22 99,238 7,530,369 75.87
99,230 32 99,213 7,431,131 74.89
99,198 19 99,189 7,331,918 73.91
99,179 25 99,163 7,232,729 72.93
99,154 15 99,147 7,133,566 71.94
99,140 19 99,128 7,034,419 70.95
99,120 17 99,113 6,935,291 69.97
99,103 19 99,094 6,836,178 68.98
99,084 23 99,070 6,737,083 67.99
99,062 19 99,052 6,638,013 67.01
99,043 16 99,035 6,538,961 66.02
99,027 16 99,020 6,439,927 65.03
99,011 31 99,000 6,340,906 64.04
98,980 31 98,967 6,241,907 63.06
98,949 40 98,930 6,142,939 62.08
98,909 52 98,884 6,044,009 61.11
98,857 63 98,821 5,945,125 60.14
98,795 64 98,760 5,846,304 59.18
98,730 69 98,696 5,747,544 58.21
98,661 74 98,625 5,648,847 57.25
98,587 78 98,546 5,550,222 56.30
98,509 105 98,458 5,451,676 55.34
98,404 127 98,332 5,353,218 54.40
98,276 122 98,215 5,254,886 53.47
98,155 165 98,076 5,156,670 52.54
97,990 167 97,912 5,058,594 51.62
97,823 159 97,749 4,960,682 50.71
97,664 201 97,565 4,862,934 49.79
97,462 221 97,356 4,765,368 48.89
97,241 206 97,136 4,668,013 48.00
97,036 207 96,928 4,570,877 47.11
96,829 179 96,740 4,473,948 46.20
96,650 147 96,573 4,377,208 45.29
96,502 185 96,406 4,280,635 44.36
96,317 146 96,247 4,184,228 43.44
96,170 141 96,095 4,087,982 42.51
96,030 162 95,942 3,991,886 41.57
95,868 160 95,781 3,895,944 40.64
95,708 151 95,632 3,800,164 39.71
95,557 167 95,474 3,704,532 38.77
95,390 170 95,307 3,609,058 37.83
95,221 181 95,135 3,513,751 36.90
95,040 215 94,935 3,418,616 35.97
94,825 234 94,712 3,323,681 35.05
94,591 290 94,452 3,228,969 34.14
94,302 277 94,166 3,134,517 33.24
94,024 303 93,874 3,040,351 32.34
93,721 263 93,588 2,946,477 31.44
93,459 307 93,298 2,852,890 30.53
93,151 285 93,014 2,759,592 29.62
92,866 472 92,633 2,666,577 28.71
92,394 412 92,204 2,573,945 27.86
91,982 404 91,779 2,481,741 26.98
91,579 487 91,332 2,389,962 26.10
91,091 530 90,825 2,298,630 25.23
90,561 528 90,306 2,207,805 24.38
90,034 639 89,714 2,117,499 23.52
89,395 678 89,074 2,027,785 22.68
88,717 679 88,396 1,938,711 21.85
88,038 747 87,676 1,850,315 21.02
87,291 803 86,906 1,762,640 20.19
86,487 944 86,021 1,675,734 19.38
85,544 1,003 85,025 1,589,713 18.58
84,540 1,177 83,976 1,504,687 17.80
83,363 1,192 82,752 1,420,711 17.04
82,171 1,314 81,533 1,337,959 16.28
80,857 1,494 80,118 1,256,425 15.54
79,363 1,516 78,616 1,176,308 14.82
77,847 1,739 77,011 1,097,692 14.10
76,108 1,812 75,197 1,020,681 13.41
74,296 2,007 73,305 945,484 12.73
72,289 2,097 71,239 872,179 12.07
70,192 2,294 69,040 800,940 11.41
67,898 2,384 66,699 731,900 10.78
65,514 2,602 64,217 665,201 10.15
62,912 2,924 61,484 600,984 9.55
59,988 3,058 58,440 539,501 8.99
56,930 3,249 55,322 481,060 8.45
53,682 3,450 51,976 425,738 7.93
50,232 3,357 48,553 373,763 7.44
46,875 3,640 45,076 325,210 6.94
43,235 3,819 41,289 280,134 6.48
39,416 3,656 37,609 238,845 6.06
35,760 4,064 33,764 201,236 5.63
31,695 3,818 29,822 167,472 5.28
27,878 3,797 26,020 137,650 4.94
24,081 3,644 22,274 111,630 4.64
20,437 20,437 89,355 89,355 4.37
Tabla de mortalidad para el total de la población. 1992
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1992 1/1/1993
0 342 49,034 50,393 0.1307 0.00688 0.00684
1 19 49,092 48,927 0.5731 0.00039 0.00039
2 20 50,025 48,734 0.5460 0.00041 0.00040
3 16 50,379 49,834 0.4332 0.00032 0.00032
4 13 52,119 50,172 0.5048 0.00025 0.00025
5 9 53,549 51,930 0.4508 0.00017 0.00017
6 9 55,270 53,442 0.4627 0.00017 0.00017
7 16 57,397 55,435 0.5372 0.00028 0.00028
8 8 59,279 57,573 0.3712 0.00014 0.00014
9 11 63,620 59,534 0.5946 0.00018 0.00018
10 12 67,333 63,840 0.5339 0.00018 0.00018
11 12 71,050 67,580 0.6066 0.00017 0.00017
12 18 75,495 71,207 0.4959 0.00025 0.00025
13 8 80,878 75,834 0.5174 0.00010 0.00010
14 22 84,443 81,287 0.5178 0.00027 0.00027
15 24 88,652 84,837 0.4824 0.00028 0.00028
16 30 90,052 89,120 0.5740 0.00033 0.00033
17 41 90,036 90,369 0.5424 0.00045 0.00045
18 54 89,134 90,421 0.4351 0.00060 0.00060
19 58 88,909 89,326 0.5850 0.00065 0.00065
20 79 88,131 88,974 0.4975 0.00089 0.00089
21 73 86,424 88,292 0.5717 0.00084 0.00084
22 81 85,653 86,415 0.4945 0.00094 0.00094
23 90 84,522 85,662 0.5060 0.00106 0.00106
24 110 85,275 84,568 0.4429 0.00130 0.00129
25 113 83,780 85,298 0.5044 0.00134 0.00134
26 122 84,785 83,982 0.5017 0.00145 0.00144
27 116 84,656 84,883 0.5266 0.00137 0.00137
28 141 81,727 84,912 0.5044 0.00169 0.00169
29 172 79,643 81,912 0.5492 0.00213 0.00213
30 134 77,744 79,753 0.5245 0.00170 0.00170
31 150 78,900 77,909 0.5184 0.00191 0.00191
32 139 76,858 78,804 0.4814 0.00179 0.00178
33 144 76,043 76,985 0.5154 0.00188 0.00188
34 135 75,664 76,105 0.4424 0.00178 0.00178
35 124 70,708 75,750 0.4434 0.00169 0.00169
36 115 69,726 70,841 0.5092 0.00164 0.00163
37 106 66,752 69,747 0.4751 0.00155 0.00155
38 97 68,098 66,830 0.5326 0.00144 0.00144
39 102 68,194 68,179 0.4797 0.00150 0.00149
40 118 65,053 68,210 0.4494 0.00177 0.00177
41 111 66,660 65,092 0.5154 0.00168 0.00168
42 127 68,882 66,310 0.4850 0.00188 0.00188
43 130 73,464 68,894 0.5053 0.00183 0.00182
44 136 67,117 73,371 0.4889 0.00194 0.00193
45 138 62,861 67,024 0.5109 0.00212 0.00212
46 145 67,914 62,858 0.5004 0.00222 0.00222
47 189 65,217 67,621 0.5271 0.00285 0.00284
48 190 63,482 65,073 0.4898 0.00296 0.00295
49 179 54,559 63,361 0.5037 0.00304 0.00303
50 148 49,373 54,322 0.4990 0.00285 0.00285
51 193 65,578 49,178 0.4836 0.00336 0.00336
52 219 40,345 65,028 0.4929 0.00416 0.00415
53 197 47,708 40,096 0.5290 0.00449 0.00448
54 234 51,791 47,411 0.4765 0.00472 0.00471
55 256 56,886 51,481 0.4893 0.00472 0.00471
56 328 54,093 56,443 0.5044 0.00593 0.00592
57 278 53,962 53,656 0.5074 0.00517 0.00515
58 387 55,644 53,514 0.5213 0.00709 0.00707
59 362 54,383 55,111 0.4854 0.00661 0.00659
60 438 51,765 53,778 0.4724 0.00830 0.00826
61 473 52,596 51,164 0.5197 0.00912 0.00908
62 490 50,191 51,718 0.4991 0.00962 0.00957
63 550 48,987 49,455 0.5067 0.01117 0.01111
64 516 45,092 48,243 0.4923 0.01106 0.01100
65 559 45,113 44,361 0.4936 0.01250 0.01242
66 556 42,320 44,400 0.5018 0.01282 0.01274
67 598 41,091 41,488 0.5137 0.01448 0.01438
68 668 39,800 40,293 0.5249 0.01668 0.01655
69 772 38,743 38,929 0.5115 0.01988 0.01969
70 784 35,601 37,831 0.4980 0.02135 0.02113
71 766 33,435 34,717 0.4981 0.02248 0.02223
72 744 28,059 32,470 0.5065 0.02458 0.02429
73 681 27,264 27,271 0.5159 0.02497 0.02468
74 750 26,336 26,440 0.5057 0.02842 0.02803
75 812 24,845 25,482 0.5131 0.03227 0.03177
76 914 24,762 23,890 0.4843 0.03757 0.03686
77 956 23,201 23,713 0.4936 0.04076 0.03993
78 1,018 22,369 22,183 0.4902 0.04570 0.04466
79 1,177 20,925 21,232 0.5006 0.05584 0.05432
80 1,054 18,648 19,702 0.5013 0.05497 0.05350
81 1,167 17,223 17,471 0.4887 0.06727 0.06504
82 1,166 15,139 15,999 0.5075 0.07489 0.07223
83 1,130 13,054 13,971 0.5019 0.08363 0.08028
84 1,096 11,365 11,962 0.5104 0.09397 0.08984
85 1,067 10,029 10,276 0.5092 0.10510 0.09994
86 1,081 8,963 8,964 0.5038 0.12060 0.11379
87 944 7,109 7,927 0.4913 0.12557 0.11803
88 810 6,073 6,276 0.4771 0.13118 0.12276
89 766 5,101 5,297 0.4818 0.14734 0.13688
90 3,252 14,021 15,437 0.22079 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 684 99,406 7,813,084 78.13
99,316 38 99,300 7,713,679 77.67
99,278 40 99,259 7,614,379 76.70
99,237 32 99,219 7,515,120 75.73
99,206 25 99,193 7,415,900 74.75
99,181 17 99,171 7,316,707 73.77
99,164 16 99,155 7,217,536 72.78
99,147 28 99,134 7,118,381 71.80
99,119 14 99,111 7,019,247 70.82
99,106 18 99,098 6,920,136 69.83
99,088 18 99,079 6,821,038 68.84
99,070 17 99,063 6,721,958 67.85
99,053 24 99,040 6,622,895 66.86
99,028 10 99,023 6,523,855 65.88
99,018 26 99,005 6,424,832 64.89
98,992 27 98,978 6,325,826 63.90
98,964 33 98,950 6,226,849 62.92
98,931 45 98,911 6,127,898 61.94
98,886 59 98,853 6,028,988 60.97
98,827 64 98,800 5,930,135 60.01
98,763 88 98,718 5,831,335 59.04
98,675 82 98,639 5,732,616 58.10
98,592 93 98,545 5,633,977 57.14
98,499 104 98,448 5,535,432 56.20
98,395 127 98,324 5,436,984 55.26
98,268 131 98,203 5,338,660 54.33
98,137 142 98,066 5,240,457 53.40
97,995 134 97,931 5,142,391 52.48
97,861 165 97,779 5,044,459 51.55
97,695 208 97,602 4,946,681 50.63
97,487 166 97,409 4,849,079 49.74
97,322 186 97,232 4,751,670 48.82
97,136 173 97,046 4,654,438 47.92
96,962 182 96,874 4,557,392 47.00
96,780 172 96,684 4,460,518 46.09
96,608 163 96,517 4,363,834 45.17
96,445 158 96,367 4,267,317 44.25
96,287 149 96,209 4,170,950 43.32
96,138 138 96,073 4,074,741 42.38
95,999 143 95,925 3,978,668 41.44
95,856 170 95,763 3,882,744 40.51
95,686 161 95,608 3,786,981 39.58
95,525 179 95,433 3,691,373 38.64
95,346 174 95,260 3,595,940 37.71
95,172 184 95,078 3,500,680 36.78
94,988 202 94,889 3,405,602 35.85
94,786 210 94,681 3,310,713 34.93
94,576 269 94,449 3,216,031 34.00
94,308 278 94,165 3,121,582 33.10
94,029 285 93,888 3,027,417 32.20
93,744 267 93,610 2,933,529 31.29
93,477 314 93,315 2,839,919 30.38
93,163 386 92,967 2,746,604 29.48
92,777 415 92,581 2,653,637 28.60
92,361 435 92,134 2,561,056 27.73
91,927 433 91,705 2,468,922 26.86
91,493 541 91,225 2,377,217 25.98
90,952 469 90,721 2,285,992 25.13
90,483 639 90,177 2,195,271 24.26
89,844 592 89,539 2,105,094 23.43
89,252 738 88,863 2,015,555 22.58
88,514 803 88,128 1,926,693 21.77
87,711 839 87,290 1,838,565 20.96
86,871 965 86,395 1,751,274 20.16
85,906 945 85,426 1,664,879 19.38
84,961 1,055 84,427 1,579,453 18.59
83,906 1,069 83,374 1,495,026 17.82
82,837 1,191 82,258 1,411,652 17.04
81,646 1,351 81,004 1,329,394 16.28
80,295 1,581 79,522 1,248,390 15.55
78,714 1,663 77,879 1,168,868 14.85
77,051 1,713 76,191 1,090,989 14.16
75,338 1,830 74,435 1,014,798 13.47
73,508 1,814 72,630 940,362 12.79
71,694 2,009 70,701 867,732 12.10
69,685 2,214 68,607 797,031 11.44
67,471 2,487 66,189 728,424 10.80
64,984 2,595 63,670 662,235 10.19
62,389 2,786 60,969 598,565 9.59
59,603 3,238 57,986 537,596 9.02
56,365 3,016 54,861 479,610 8.51
53,350 3,470 51,576 424,749 7.96
49,880 3,603 48,106 373,173 7.48
46,277 3,715 44,427 325,068 7.02
42,562 3,824 40,690 280,641 6.59
38,738 3,872 36,838 239,951 6.19
34,867 3,968 32,898 203,113 5.83
30,899 3,647 29,044 170,215 5.51
27,252 3,346 25,503 141,171 5.18
23,907 3,272 22,211 115,668 4.84
20,634 20,634 93,457 93,457 4.53
Tabla de mortalidad para el total de la población. 1991
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1991 1/1/1992
0 314 49,475 49,034 0.1497 0.00638 0.00634
1 27 50,256 49,092 0.4498 0.00054 0.00054
2 18 50,598 50,025 0.4986 0.00036 0.00036
3 21 52,299 50,379 0.4351 0.00041 0.00041
4 8 53,627 52,119 0.3421 0.00015 0.00015
5 15 55,131 53,549 0.5432 0.00028 0.00028
6 22 57,228 55,270 0.4526 0.00039 0.00039
7 6 59,035 57,397 0.4548 0.00010 0.00010
8 8 63,424 59,279 0.4277 0.00013 0.00013
9 13 67,088 63,620 0.3631 0.00020 0.00020
10 14 70,897 67,333 0.4178 0.00020 0.00020
11 10 75,158 71,050 0.4622 0.00014 0.00014
12 6 80,470 75,495 0.5900 0.00008 0.00008
13 13 84,052 80,878 0.6257 0.00016 0.00016
14 24 88,198 84,443 0.5392 0.00028 0.00028
15 36 89,751 88,652 0.5819 0.00040 0.00040
16 29 89,643 90,052 0.5125 0.00032 0.00032
17 46 88,960 90,036 0.5176 0.00051 0.00051
18 56 88,848 89,134 0.4865 0.00063 0.00063
19 64 88,002 88,909 0.5373 0.00072 0.00072
20 99 86,442 88,131 0.4800 0.00113 0.00113
21 88 85,633 86,424 0.4655 0.00102 0.00102
22 97 84,508 85,653 0.5359 0.00114 0.00114
23 125 85,258 84,522 0.5301 0.00147 0.00147
24 97 83,597 85,275 0.5356 0.00115 0.00115
25 145 84,690 83,780 0.5127 0.00172 0.00172
26 109 84,418 84,785 0.5345 0.00129 0.00129
27 114 81,552 84,656 0.5000 0.00137 0.00137
28 137 79,527 81,727 0.4911 0.00170 0.00170
29 161 77,628 79,643 0.4872 0.00205 0.00205
30 160 79,005 77,744 0.4929 0.00204 0.00204
31 146 76,756 78,900 0.4767 0.00188 0.00187
32 152 75,982 76,858 0.5193 0.00199 0.00199
33 121 75,579 76,043 0.5198 0.00160 0.00159
34 126 70,615 75,664 0.5278 0.00172 0.00172
35 141 69,716 70,708 0.5268 0.00201 0.00201
36 106 66,700 69,726 0.5423 0.00155 0.00155
37 100 67,991 66,752 0.4374 0.00148 0.00148
38 100 68,175 68,098 0.5048 0.00147 0.00147
39 100 65,038 68,194 0.5614 0.00150 0.00150
40 109 67,010 65,053 0.4989 0.00165 0.00165
41 122 68,859 66,660 0.5128 0.00180 0.00180
42 109 73,564 68,882 0.5018 0.00153 0.00153
43 121 67,212 73,464 0.4641 0.00172 0.00172
44 136 62,884 67,117 0.5152 0.00209 0.00209
45 130 68,201 62,861 0.5005 0.00198 0.00198
46 183 65,348 67,914 0.4515 0.00275 0.00274
47 172 63,613 65,217 0.5258 0.00267 0.00267
48 165 54,799 63,482 0.4828 0.00279 0.00279
49 158 49,569 54,559 0.5373 0.00303 0.00303
50 182 66,169 49,373 0.4874 0.00315 0.00315
51 213 40,576 65,578 0.4862 0.00401 0.00400
52 154 48,016 40,345 0.4678 0.00349 0.00348
53 252 52,093 47,708 0.5001 0.00505 0.00504
54 255 57,335 51,791 0.5168 0.00467 0.00466
55 287 54,513 56,886 0.4950 0.00515 0.00514
56 278 54,371 54,093 0.5019 0.00513 0.00511
57 318 56,167 53,962 0.5279 0.00578 0.00576
58 363 54,986 55,644 0.5200 0.00656 0.00654
59 391 52,372 54,383 0.4900 0.00733 0.00730
60 447 53,439 51,765 0.4915 0.00850 0.00846
61 462 50,873 52,596 0.5147 0.00893 0.00889
62 464 49,663 50,191 0.5285 0.00929 0.00925
63 495 45,831 48,987 0.5209 0.01044 0.01039
64 573 45,845 45,092 0.5043 0.01260 0.01252
65 539 43,181 45,113 0.5189 0.01221 0.01214
66 593 41,883 42,320 0.4965 0.01409 0.01399
67 649 40,625 41,091 0.4845 0.01588 0.01576
68 682 39,582 39,800 0.4934 0.01718 0.01703
69 686 36,424 38,743 0.4944 0.01825 0.01809
70 711 34,352 35,601 0.5018 0.02033 0.02012
71 716 28,844 33,435 0.5207 0.02299 0.02274
72 732 28,129 28,059 0.4989 0.02606 0.02572
73 728 27,216 27,264 0.4814 0.02673 0.02636
74 891 25,768 26,336 0.5109 0.03420 0.03364
75 850 25,796 24,845 0.5004 0.03357 0.03302
76 987 24,278 24,762 0.5090 0.04025 0.03947
77 1,007 23,476 23,201 0.4861 0.04315 0.04221
78 1,123 22,126 22,369 0.5027 0.05048 0.04924
79 1,091 19,906 20,925 0.4957 0.05344 0.05204
80 1,257 18,518 18,648 0.5072 0.06764 0.06546
81 1,199 16,366 17,223 0.4965 0.07139 0.06892
82 1,227 14,301 15,139 0.5020 0.08336 0.08003
83 1,198 12,526 13,054 0.4895 0.09367 0.08939
84 1,165 11,111 11,365 0.5067 0.10367 0.09862
85 1,072 10,061 10,029 0.5121 0.10672 0.10144
86 1,030 8,075 8,963 0.5016 0.12091 0.11403
87 964 7,033 7,109 0.5041 0.13633 0.12770
88 929 5,955 6,073 0.4907 0.15447 0.14321
89 738 4,444 5,101 0.4907 0.15464 0.14335
90 3,372 13,356 14,021 0.24634 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 634 99,461 7,759,557 77.60
99,366 54 99,336 7,660,096 77.09
99,312 36 99,294 7,560,760 76.13
99,276 41 99,253 7,461,466 75.16
99,236 15 99,226 7,362,212 74.19
99,221 27 99,208 7,262,986 73.20
99,193 39 99,172 7,163,778 72.22
99,155 10 99,149 7,064,606 71.25
99,144 13 99,137 6,965,457 70.26
99,131 20 99,119 6,866,320 69.26
99,112 20 99,100 6,767,201 68.28
99,092 14 99,084 6,668,101 67.29
99,078 8 99,075 6,569,016 66.30
99,071 16 99,065 6,469,941 65.31
99,055 28 99,042 6,370,877 64.32
99,027 40 99,011 6,271,835 63.33
98,987 32 98,972 6,172,824 62.36
98,955 51 98,931 6,073,852 61.38
98,905 62 98,873 5,974,921 60.41
98,842 71 98,809 5,876,049 59.45
98,771 112 98,713 5,777,239 58.49
98,659 101 98,605 5,678,527 57.56
98,558 112 98,506 5,579,922 56.62
98,446 145 98,378 5,481,416 55.68
98,301 113 98,248 5,383,038 54.76
98,188 169 98,106 5,284,789 53.82
98,019 126 97,960 5,186,684 52.91
97,893 134 97,826 5,088,723 51.98
97,759 166 97,674 4,990,897 51.05
97,593 200 97,490 4,893,223 50.14
97,393 199 97,292 4,795,733 49.24
97,195 182 97,099 4,698,440 48.34
97,012 193 96,920 4,601,341 47.43
96,820 154 96,745 4,504,421 46.52
96,665 166 96,587 4,407,676 45.60
96,499 194 96,407 4,311,089 44.68
96,305 150 96,237 4,214,682 43.76
96,156 143 96,075 4,118,445 42.83
96,013 141 95,943 4,022,370 41.89
95,872 144 95,809 3,926,426 40.95
95,728 158 95,649 3,830,617 40.02
95,571 172 95,487 3,734,968 39.08
95,399 146 95,326 3,639,481 38.15
95,253 164 95,165 3,544,155 37.21
95,089 199 94,993 3,448,990 36.27
94,890 188 94,796 3,353,997 35.35
94,702 260 94,560 3,259,201 34.42
94,443 252 94,323 3,164,641 33.51
94,191 262 94,055 3,070,318 32.60
93,928 285 93,797 2,976,263 31.69
93,644 295 93,493 2,882,467 30.78
93,349 374 93,157 2,788,974 29.88
92,975 323 92,803 2,695,817 29.00
92,652 467 92,418 2,603,014 28.09
92,185 430 91,977 2,510,596 27.23
91,755 472 91,517 2,418,618 26.36
91,284 467 91,051 2,327,101 25.49
90,817 523 90,570 2,236,050 24.62
90,294 591 90,010 2,145,480 23.76
89,703 655 89,369 2,055,470 22.91
89,048 753 88,665 1,966,101 22.08
88,295 785 87,914 1,877,435 21.26
87,510 810 87,128 1,789,521 20.45
86,700 901 86,269 1,702,393 19.64
85,799 1,075 85,267 1,616,124 18.84
84,725 1,028 84,230 1,530,857 18.07
83,697 1,171 83,107 1,446,627 17.28
82,526 1,300 81,856 1,363,520 16.52
81,226 1,384 80,525 1,281,664 15.78
79,842 1,444 79,112 1,201,140 15.04
78,398 1,578 77,612 1,122,028 14.31
76,820 1,747 75,983 1,044,415 13.60
75,073 1,931 74,106 968,432 12.90
73,142 1,928 72,143 894,327 12.23
71,214 2,396 70,043 822,184 11.55
68,819 2,272 67,684 752,141 10.93
66,547 2,627 65,257 684,458 10.29
63,920 2,698 62,533 619,200 9.69
61,222 3,015 59,723 556,667 9.09
58,207 3,029 56,680 496,944 8.54
55,178 3,612 53,398 440,265 7.98
51,566 3,554 49,777 386,866 7.50
48,013 3,843 46,099 337,090 7.02
44,170 3,948 42,154 290,991 6.59
40,221 3,967 38,265 248,836 6.19
36,255 3,678 34,460 210,572 5.81
32,577 3,715 30,726 176,111 5.41
28,862 3,686 27,034 145,386 5.04
25,177 3,605 23,340 118,351 4.70
21,571 3,092 19,996 95,011 4.40
18,479 18,479 75,015 75,015 4.06
Tabla de mortalidad para el total de la población. 1990
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1990 1/1/1991
0 346 46,536 49,475 0.1344 0.00721 0.00716
1 36 47,961 50,256 0.4672 0.00073 0.00073
2 19 48,200 50,598 0.3485 0.00038 0.00038
3 25 50,514 52,299 0.4849 0.00049 0.00049
4 14 52,242 53,627 0.4871 0.00026 0.00026
5 11 55,131 55,131 0.3542 0.00020 0.00020
6 17 57,228 57,228 0.5170 0.00030 0.00030
7 17 59,034 59,035 0.4654 0.00029 0.00029
8 14 63,424 63,424 0.5249 0.00022 0.00022
9 11 67,088 67,088 0.4588 0.00016 0.00016
10 12 70,897 70,897 0.6059 0.00017 0.00017
11 20 75,158 75,158 0.5407 0.00027 0.00027
12 21 80,470 80,470 0.5867 0.00026 0.00026
13 18 84,053 84,052 0.6199 0.00021 0.00021
14 23 88,198 88,198 0.5331 0.00026 0.00026
15 26 89,750 89,751 0.4687 0.00029 0.00029
16 39 89,643 89,643 0.4507 0.00044 0.00043
17 48 88,958 88,960 0.5349 0.00054 0.00054
18 61 88,847 88,848 0.4698 0.00069 0.00069
19 69 88,004 88,002 0.5246 0.00078 0.00078
20 78 86,441 86,442 0.4343 0.00090 0.00090
21 74 85,635 85,633 0.4077 0.00086 0.00086
22 96 84,508 84,508 0.5008 0.00114 0.00114
23 115 85,260 85,258 0.4747 0.00135 0.00135
24 124 83,598 83,597 0.4759 0.00148 0.00148
25 106 84,690 84,690 0.5477 0.00125 0.00125
26 130 84,421 84,418 0.5069 0.00154 0.00154
27 125 81,554 81,552 0.5081 0.00153 0.00153
28 118 79,528 79,527 0.5041 0.00148 0.00148
29 135 77,631 77,628 0.4811 0.00174 0.00174
30 136 79,006 79,005 0.5081 0.00172 0.00172
31 111 76,755 76,756 0.5083 0.00145 0.00145
32 117 75,983 75,982 0.5137 0.00154 0.00154
33 89 75,582 75,579 0.5133 0.00118 0.00118
34 128 70,613 70,615 0.5022 0.00181 0.00181
35 104 69,715 69,716 0.5352 0.00149 0.00149
36 85 66,699 66,700 0.4882 0.00127 0.00127
37 83 67,992 67,991 0.4252 0.00122 0.00122
38 87 68,175 68,175 0.5400 0.00128 0.00128
39 106 65,038 65,038 0.4943 0.00163 0.00163
40 136 67,013 67,010 0.5089 0.00203 0.00203
41 119 68,859 68,859 0.4861 0.00173 0.00173
42 122 73,563 73,564 0.5029 0.00166 0.00166
43 127 67,212 67,212 0.5225 0.00189 0.00189
44 122 62,881 62,884 0.4926 0.00194 0.00194
45 140 68,205 68,201 0.4560 0.00205 0.00205
46 154 65,347 65,348 0.4872 0.00236 0.00235
47 151 63,614 63,613 0.4614 0.00237 0.00237
48 142 54,801 54,799 0.5103 0.00259 0.00259
49 158 49,572 49,569 0.5351 0.00319 0.00318
50 186 66,171 66,169 0.4750 0.00281 0.00281
51 162 40,576 40,576 0.5134 0.00399 0.00398
52 178 48,019 48,016 0.4926 0.00371 0.00370
53 246 52,097 52,093 0.4869 0.00472 0.00471
54 272 57,336 57,335 0.4805 0.00474 0.00473
55 271 54,514 54,513 0.4883 0.00497 0.00496
56 318 54,375 54,371 0.5136 0.00585 0.00583
57 374 56,170 56,167 0.5055 0.00666 0.00664
58 363 54,989 54,986 0.4840 0.00660 0.00658
59 433 52,373 52,372 0.5091 0.00827 0.00823
60 432 53,443 53,439 0.5047 0.00808 0.00805
61 475 50,873 50,873 0.4815 0.00934 0.00929
62 474 49,666 49,663 0.5150 0.00954 0.00950
63 524 45,836 45,831 0.4946 0.01143 0.01137
64 500 45,851 45,845 0.4973 0.01091 0.01085
65 572 43,184 43,181 0.4978 0.01325 0.01316
66 569 41,886 41,883 0.4922 0.01358 0.01349
67 641 40,630 40,625 0.4915 0.01578 0.01565
68 691 39,583 39,582 0.4980 0.01746 0.01731
69 691 36,431 36,424 0.4917 0.01897 0.01879
70 716 34,355 34,352 0.5062 0.02084 0.02063
71 632 28,850 28,844 0.4924 0.02191 0.02167
72 745 28,140 28,129 0.5131 0.02648 0.02614
73 813 27,218 27,216 0.5123 0.02987 0.02944
74 813 25,775 25,768 0.5153 0.03155 0.03107
75 888 25,801 25,796 0.5005 0.03442 0.03384
76 991 24,281 24,278 0.4996 0.04082 0.04000
77 1,058 23,481 23,476 0.5116 0.04506 0.04409
78 1,080 22,137 22,126 0.5251 0.04880 0.04769
79 1,090 19,916 19,906 0.4892 0.05474 0.05325
80 1,115 18,527 18,518 0.4808 0.06020 0.05837
81 1,086 16,371 16,366 0.4991 0.06635 0.06421
82 1,122 14,306 14,301 0.4921 0.07844 0.07544
83 1,130 12,532 12,526 0.5102 0.09019 0.08638
84 1,068 11,114 11,111 0.5185 0.09611 0.09186
85 1,059 10,071 10,061 0.5017 0.10521 0.09997
86 988 8,076 8,075 0.4996 0.12235 0.11529
87 943 7,038 7,033 0.5026 0.13403 0.12566
88 850 5,962 5,955 0.4994 0.14265 0.13315
89 841 4,449 4,444 0.5059 0.18914 0.17297
90 3,138 13,358 13,356 0.23493 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 716 99,380 7,766,835 77.67
99,284 73 99,245 7,667,455 77.23
99,211 38 99,186 7,568,210 76.28
99,173 48 99,148 7,469,024 75.31
99,125 26 99,111 7,369,876 74.35
99,098 20 99,086 7,270,764 73.37
99,079 29 99,064 7,171,679 72.38
99,049 29 99,034 7,072,614 71.41
99,021 22 99,010 6,973,580 70.43
98,999 16 98,990 6,874,570 69.44
98,983 17 98,976 6,775,580 68.45
98,966 26 98,954 6,676,604 67.46
98,939 26 98,929 6,577,650 66.48
98,914 21 98,906 6,478,722 65.50
98,892 26 98,880 6,379,816 64.51
98,867 29 98,851 6,280,936 63.53
98,838 43 98,814 6,182,084 62.55
98,795 53 98,770 6,083,270 61.57
98,742 68 98,706 5,984,499 60.61
98,674 77 98,637 5,885,793 59.65
98,597 89 98,546 5,787,156 58.70
98,508 85 98,457 5,688,610 57.75
98,423 112 98,367 5,590,152 56.80
98,311 133 98,241 5,491,785 55.86
98,178 146 98,102 5,393,544 54.94
98,033 123 97,977 5,295,442 54.02
97,910 151 97,836 5,197,465 53.08
97,760 150 97,686 5,099,629 52.16
97,610 145 97,538 5,001,943 51.24
97,465 169 97,377 4,904,404 50.32
97,296 167 97,214 4,807,027 49.41
97,128 140 97,059 4,709,814 48.49
96,988 149 96,916 4,612,754 47.56
96,839 114 96,783 4,515,839 46.63
96,725 175 96,638 4,419,055 45.69
96,550 144 96,483 4,322,417 44.77
96,406 123 96,343 4,225,935 43.83
96,283 117 96,216 4,129,592 42.89
96,166 123 96,109 4,033,376 41.94
96,043 156 95,964 3,937,267 40.99
95,887 194 95,791 3,841,303 40.06
95,692 165 95,607 3,745,512 39.14
95,527 158 95,448 3,649,905 38.21
95,369 180 95,283 3,554,457 37.27
95,189 184 95,095 3,459,174 36.34
95,004 195 94,898 3,364,079 35.41
94,809 223 94,695 3,269,181 34.48
94,586 224 94,465 3,174,486 33.56
94,362 244 94,242 3,080,021 32.64
94,118 300 93,978 2,985,778 31.72
93,818 263 93,680 2,891,800 30.82
93,555 373 93,373 2,798,120 29.91
93,182 345 93,007 2,704,747 29.03
92,837 437 92,613 2,611,740 28.13
92,400 437 92,173 2,519,127 27.26
91,963 456 91,729 2,426,954 26.39
91,507 534 91,247 2,335,225 25.52
90,973 604 90,674 2,243,978 24.67
90,369 595 90,062 2,153,303 23.83
89,775 739 89,412 2,063,241 22.98
89,035 717 88,680 1,973,829 22.17
88,319 821 87,893 1,885,149 21.34
87,498 831 87,095 1,797,256 20.54
86,667 985 86,169 1,710,161 19.73
85,682 929 85,214 1,623,992 18.95
84,752 1,115 84,192 1,538,778 18.16
83,637 1,128 83,064 1,454,586 17.39
82,509 1,291 81,852 1,371,522 16.62
81,217 1,406 80,512 1,289,670 15.88
79,812 1,500 79,049 1,209,158 15.15
78,312 1,616 77,514 1,130,109 14.43
76,697 1,662 75,853 1,052,594 13.72
75,035 1,962 74,080 976,741 13.02
73,073 2,151 72,024 902,662 12.35
70,922 2,204 69,854 830,638 11.71
68,718 2,325 67,557 760,784 11.07
66,393 2,656 65,064 693,228 10.44
63,737 2,810 62,365 628,164 9.86
60,927 2,906 59,547 565,799 9.29
58,021 3,090 56,443 506,252 8.73
54,931 3,206 53,266 449,810 8.19
51,725 3,321 50,061 396,544 7.67
48,403 3,651 46,549 346,483 7.16
44,752 3,865 42,859 299,934 6.70
40,886 3,756 39,078 257,076 6.29
37,131 3,712 35,281 217,998 5.87
33,419 3,853 31,491 182,717 5.47
29,566 3,715 27,718 151,226 5.11
25,851 3,442 24,128 123,507 4.78
22,409 3,876 20,494 99,379 4.43
18,533 18,533 78,886 78,886 4.26
Tabla de mortalidad para el total de la población. 1989
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1989 1/1/1990
0 344 51,139 46,536 0.1452 0.00704 0.00700
1 39 50,579 47,961 0.4343 0.00079 0.00079
2 23 51,721 48,200 0.5065 0.00046 0.00046
3 14 53,299 50,514 0.6407 0.00027 0.00027
4 14 54,706 52,242 0.5951 0.00026 0.00026
5 15 56,617 55,131 0.4911 0.00027 0.00027
6 12 58,631 57,228 0.4046 0.00021 0.00021
7 14 63,119 59,034 0.4665 0.00023 0.00023
8 7 66,780 63,424 0.5256 0.00011 0.00011
9 12 70,652 67,088 0.6146 0.00017 0.00017
10 9 75,025 70,897 0.6049 0.00012 0.00012
11 13 80,135 75,158 0.4910 0.00017 0.00017
12 20 83,611 80,470 0.6555 0.00024 0.00024
13 18 87,867 84,053 0.4912 0.00021 0.00021
14 26 89,376 88,198 0.3991 0.00029 0.00029
15 28 89,174 89,750 0.5666 0.00031 0.00031
16 33 88,236 89,643 0.5298 0.00037 0.00037
17 38 88,138 88,958 0.4920 0.00043 0.00043
18 62 87,265 88,847 0.4788 0.00070 0.00070
19 61 85,606 88,004 0.5224 0.00070 0.00070
20 76 84,991 86,441 0.4887 0.00089 0.00089
21 90 84,050 85,635 0.4581 0.00106 0.00106
22 95 84,806 84,508 0.4441 0.00112 0.00112
23 110 83,216 85,260 0.5151 0.00131 0.00131
24 103 84,112 83,598 0.5074 0.00123 0.00123
25 138 83,969 84,690 0.4977 0.00164 0.00164
26 113 81,076 84,421 0.4949 0.00137 0.00136
27 117 79,085 81,554 0.4435 0.00146 0.00146
28 127 77,182 79,528 0.4708 0.00162 0.00162
29 127 78,420 77,631 0.4968 0.00163 0.00163
30 101 76,298 79,006 0.5576 0.00130 0.00130
31 109 75,609 76,755 0.4980 0.00143 0.00143
32 98 75,243 75,983 0.4948 0.00130 0.00130
33 100 70,471 75,582 0.4936 0.00137 0.00137
34 89 69,452 70,613 0.4888 0.00127 0.00127
35 87 66,528 69,715 0.4338 0.00128 0.00128
36 81 67,867 66,699 0.5118 0.00120 0.00120
37 76 68,066 67,992 0.4482 0.00112 0.00112
38 95 64,928 68,175 0.5219 0.00143 0.00143
39 92 66,621 65,038 0.4669 0.00140 0.00140
40 112 68,782 67,013 0.5121 0.00165 0.00165
41 108 73,478 68,859 0.5004 0.00152 0.00152
42 102 67,135 73,563 0.5188 0.00145 0.00145
43 134 62,910 67,212 0.4756 0.00206 0.00206
44 128 68,079 62,881 0.5030 0.00195 0.00195
45 150 65,421 68,205 0.5049 0.00225 0.00224
46 127 63,670 65,347 0.5084 0.00197 0.00197
47 113 54,770 63,614 0.5520 0.00191 0.00191
48 145 49,619 54,801 0.4926 0.00278 0.00277
49 170 66,100 49,572 0.5202 0.00294 0.00294
50 143 40,695 66,171 0.4810 0.00268 0.00267
51 186 48,197 40,576 0.5171 0.00419 0.00418
52 233 52,323 48,019 0.4881 0.00464 0.00463
53 253 57,647 52,097 0.4731 0.00461 0.00460
54 266 54,727 57,336 0.4886 0.00475 0.00474
55 297 54,709 54,514 0.5014 0.00544 0.00542
56 338 56,497 54,375 0.5256 0.00610 0.00608
57 345 55,368 56,170 0.4936 0.00619 0.00617
58 393 52,771 54,989 0.5025 0.00729 0.00727
59 407 53,772 52,373 0.4914 0.00767 0.00764
60 459 51,374 53,443 0.4845 0.00876 0.00872
61 431 50,250 50,873 0.5210 0.00852 0.00849
62 434 46,426 49,666 0.5011 0.00903 0.00899
63 455 46,466 45,836 0.4969 0.00986 0.00981
64 516 43,681 45,851 0.5030 0.01153 0.01146
65 569 42,541 43,184 0.4897 0.01327 0.01319
66 619 41,257 41,886 0.5011 0.01489 0.01478
67 627 40,292 40,630 0.4863 0.01550 0.01537
68 595 37,080 39,583 0.4939 0.01552 0.01540
69 625 34,957 36,431 0.4882 0.01751 0.01735
70 631 29,491 34,355 0.4855 0.01977 0.01957
71 695 28,793 28,850 0.5086 0.02411 0.02383
72 709 27,936 28,140 0.4922 0.02529 0.02497
73 746 26,551 27,218 0.4984 0.02775 0.02737
74 794 26,573 25,775 0.5129 0.03034 0.02989
75 866 25,148 25,801 0.4966 0.03399 0.03342
76 916 24,414 24,281 0.5119 0.03762 0.03694
77 949 23,075 23,481 0.4951 0.04077 0.03995
78 1,039 20,866 22,137 0.4899 0.04832 0.04716
79 1,015 19,534 19,916 0.4903 0.05146 0.05014
80 1,050 17,379 18,527 0.4911 0.05849 0.05680
81 1,057 15,321 16,371 0.4974 0.06670 0.06454
82 1,080 13,549 14,306 0.4985 0.07754 0.07464
83 1,051 12,125 12,532 0.5071 0.08525 0.08181
84 1,103 11,082 11,114 0.5145 0.09939 0.09481
85 943 9,032 10,071 0.4890 0.09873 0.09399
86 959 7,986 8,076 0.5092 0.11941 0.11280
87 885 6,858 7,038 0.5006 0.12737 0.11976
88 870 5,230 5,962 0.4964 0.15547 0.14418
89 720 5,008 4,449 0.4869 0.15226 0.14123
90 2,792 12,331 13,358 0.21737 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 700 99,402 7,807,974 78.08
99,300 79 99,255 7,708,572 77.63
99,221 46 99,199 7,609,317 76.69
99,176 27 99,166 7,510,118 75.73
99,149 26 99,138 7,410,952 74.75
99,123 27 99,109 7,311,814 73.77
99,096 21 99,084 7,212,705 72.78
99,076 23 99,064 7,113,621 71.80
99,053 11 99,048 7,014,557 70.82
99,042 17 99,036 6,915,509 69.82
99,025 12 99,020 6,816,473 68.84
99,013 17 99,005 6,717,453 67.84
98,996 24 98,988 6,618,448 66.86
98,972 21 98,962 6,519,460 65.87
98,952 29 98,934 6,420,499 64.89
98,923 31 98,909 6,321,564 63.90
98,892 37 98,874 6,222,655 62.92
98,855 42 98,833 6,123,781 61.95
98,812 70 98,776 6,024,948 60.97
98,743 69 98,710 5,926,171 60.02
98,674 87 98,629 5,827,462 59.06
98,586 105 98,529 5,728,833 58.11
98,482 110 98,420 5,630,303 57.17
98,371 128 98,309 5,531,883 56.23
98,243 121 98,183 5,433,574 55.31
98,122 160 98,042 5,335,391 54.37
97,962 134 97,894 5,237,349 53.46
97,828 142 97,749 5,139,455 52.54
97,686 158 97,602 5,041,706 51.61
97,527 159 97,448 4,944,104 50.69
97,369 127 97,313 4,846,656 49.78
97,242 139 97,173 4,749,344 48.84
97,103 126 97,040 4,652,171 47.91
96,977 133 96,910 4,555,131 46.97
96,845 123 96,782 4,458,221 46.03
96,722 123 96,652 4,361,439 45.09
96,598 116 96,542 4,264,787 44.15
96,482 108 96,423 4,168,246 43.20
96,374 137 96,309 4,071,823 42.25
96,237 134 96,165 3,975,514 41.31
96,103 158 96,025 3,879,349 40.37
95,944 145 95,871 3,783,324 39.43
95,799 139 95,732 3,687,452 38.49
95,660 197 95,557 3,591,720 37.55
95,463 186 95,370 3,496,164 36.62
95,277 214 95,171 3,400,793 35.69
95,063 187 94,971 3,305,623 34.77
94,876 181 94,795 3,210,651 33.84
94,695 263 94,562 3,115,857 32.90
94,432 277 94,299 3,021,295 31.99
94,155 252 94,025 2,926,995 31.09
93,904 393 93,714 2,832,971 30.17
93,511 433 93,289 2,739,257 29.29
93,078 428 92,852 2,645,968 28.43
92,650 439 92,425 2,553,116 27.56
92,211 500 91,961 2,460,691 26.69
91,711 558 91,446 2,368,729 25.83
91,153 562 90,868 2,277,283 24.98
90,591 658 90,263 2,186,415 24.14
89,933 687 89,583 2,096,151 23.31
89,246 778 88,844 2,006,568 22.48
88,467 751 88,108 1,917,724 21.68
87,716 789 87,323 1,829,616 20.86
86,928 853 86,499 1,742,293 20.04
86,075 987 85,585 1,655,795 19.24
85,088 1,122 84,516 1,570,210 18.45
83,966 1,241 83,347 1,485,694 17.69
82,725 1,272 82,072 1,402,347 16.95
81,453 1,254 80,819 1,320,275 16.21
80,199 1,392 79,487 1,239,457 15.45
78,807 1,542 78,014 1,159,970 14.72
77,265 1,841 76,360 1,081,956 14.00
75,424 1,883 74,468 1,005,596 13.33
73,541 2,013 72,531 931,128 12.66
71,528 2,138 70,487 858,597 12.00
69,390 2,319 68,222 788,111 11.36
67,071 2,478 65,861 719,888 10.73
64,593 2,580 63,290 654,027 10.13
62,013 2,925 60,521 590,737 9.53
59,088 2,963 57,578 530,216 8.97
56,125 3,188 54,503 472,638 8.42
52,938 3,417 51,220 418,135 7.90
49,521 3,696 47,667 366,915 7.41
45,825 3,749 43,977 319,248 6.97
42,076 3,989 40,139 275,271 6.54
38,086 3,580 36,257 235,132 6.17
34,507 3,892 32,596 198,875 5.76
30,614 3,666 28,783 166,279 5.43
26,948 3,885 24,991 137,496 5.10
23,063 3,257 21,391 112,504 4.88
19,805 19,805 91,113 91,113 4.60
Tabla de mortalidad para el total de la población. 1988
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1988 1/1/1989
0 366 52,959 51,139 0.1377 0.00703 0.00699
1 38 52,929 50,579 0.5467 0.00073 0.00073
2 14 54,355 51,721 0.4264 0.00026 0.00026
3 15 54,281 53,299 0.4237 0.00028 0.00028
4 21 56,006 54,706 0.4685 0.00038 0.00038
5 18 58,229 56,617 0.5225 0.00031 0.00031
6 10 62,814 58,631 0.4678 0.00016 0.00016
7 14 66,473 63,119 0.5373 0.00022 0.00022
8 7 70,408 66,780 0.6300 0.00010 0.00010
9 15 74,892 70,652 0.4807 0.00021 0.00021
10 13 79,801 75,025 0.3680 0.00017 0.00017
11 17 83,169 80,135 0.5318 0.00021 0.00021
12 14 87,537 83,611 0.5271 0.00016 0.00016
13 16 89,003 87,867 0.5043 0.00018 0.00018
14 20 88,706 89,376 0.6387 0.00022 0.00022
15 24 87,514 89,174 0.4686 0.00027 0.00027
16 33 87,429 88,236 0.5463 0.00038 0.00038
17 58 86,526 88,138 0.4088 0.00066 0.00066
18 42 84,771 87,265 0.4717 0.00049 0.00049
19 66 84,346 85,606 0.4583 0.00078 0.00078
20 72 83,593 84,991 0.4602 0.00085 0.00085
21 75 84,352 84,050 0.4901 0.00089 0.00089
22 99 82,833 84,806 0.4649 0.00118 0.00118
23 100 83,534 83,216 0.5151 0.00120 0.00120
24 84 83,517 84,112 0.4866 0.00100 0.00100
25 96 80,598 83,969 0.5329 0.00117 0.00117
26 88 78,642 81,076 0.4877 0.00110 0.00110
27 115 76,733 79,085 0.5337 0.00148 0.00148
28 113 77,833 77,182 0.4758 0.00146 0.00146
29 84 75,841 78,420 0.5253 0.00109 0.00109
30 76 75,235 76,298 0.5372 0.00100 0.00100
31 85 74,904 75,609 0.4732 0.00113 0.00113
32 96 70,328 75,243 0.4919 0.00132 0.00132
33 69 69,188 70,471 0.4953 0.00099 0.00099
34 83 66,356 69,452 0.4887 0.00122 0.00122
35 98 67,742 66,528 0.4934 0.00146 0.00146
36 88 67,958 67,867 0.4900 0.00130 0.00129
37 92 64,818 68,066 0.4758 0.00138 0.00138
38 89 66,229 64,928 0.5049 0.00136 0.00136
39 115 68,705 66,621 0.4953 0.00170 0.00170
40 112 73,393 68,782 0.5400 0.00158 0.00157
41 97 67,058 73,478 0.4651 0.00138 0.00138
42 108 62,938 67,135 0.5091 0.00166 0.00166
43 102 67,952 62,910 0.5546 0.00156 0.00156
44 121 65,495 68,079 0.5026 0.00181 0.00181
45 142 63,727 65,421 0.4840 0.00220 0.00220
46 122 54,738 63,670 0.4569 0.00206 0.00206
47 133 49,666 54,770 0.5366 0.00255 0.00254
48 147 66,030 49,619 0.4886 0.00254 0.00254
49 137 40,814 66,100 0.5251 0.00256 0.00256
50 183 48,375 40,695 0.5165 0.00411 0.00410
51 215 52,549 48,197 0.5194 0.00427 0.00426
52 277 57,958 52,323 0.5074 0.00502 0.00501
53 214 54,940 57,647 0.5093 0.00380 0.00379
54 295 55,043 54,727 0.5031 0.00537 0.00536
55 312 56,824 54,709 0.5015 0.00559 0.00558
56 336 55,748 56,497 0.5115 0.00599 0.00597
57 372 53,168 55,368 0.4879 0.00685 0.00683
58 369 54,101 52,771 0.4988 0.00691 0.00688
59 424 51,874 53,772 0.4800 0.00803 0.00799
60 443 50,833 51,374 0.4932 0.00867 0.00863
61 484 47,016 50,250 0.5067 0.00995 0.00990
62 486 47,080 46,426 0.5118 0.01040 0.01034
63 515 44,177 46,466 0.5017 0.01136 0.01130
64 522 43,196 43,681 0.5063 0.01202 0.01195
65 594 41,883 42,541 0.4942 0.01407 0.01397
66 594 41,000 41,257 0.5136 0.01444 0.01434
67 591 37,730 40,292 0.5051 0.01515 0.01504
68 611 35,558 37,080 0.4931 0.01682 0.01668
69 599 30,133 34,957 0.4999 0.01841 0.01824
70 670 29,446 29,491 0.5177 0.02274 0.02249
71 712 28,654 28,793 0.5146 0.02479 0.02449
72 733 27,327 27,936 0.4967 0.02653 0.02618
73 826 27,346 26,551 0.5006 0.03065 0.03019
74 846 26,016 26,573 0.4890 0.03217 0.03165
75 857 25,346 25,148 0.4906 0.03394 0.03337
76 943 24,012 24,414 0.4787 0.03895 0.03817
77 1,045 21,815 23,075 0.4980 0.04656 0.04550
78 968 20,541 20,866 0.4979 0.04676 0.04568
79 1,031 18,386 19,534 0.5022 0.05438 0.05294
80 1,037 16,336 17,379 0.5058 0.06152 0.05970
81 1,043 14,566 15,321 0.4884 0.06980 0.06739
82 1,044 13,135 13,549 0.5006 0.07825 0.07531
83 1,050 12,093 12,125 0.4934 0.08672 0.08307
84 1,021 9,987 11,082 0.4881 0.09692 0.09234
85 890 8,934 9,032 0.4992 0.09908 0.09439
86 867 7,754 7,986 0.4721 0.11016 0.10411
87 894 6,011 6,858 0.5168 0.13894 0.13020
88 750 5,931 5,230 0.4983 0.13440 0.12591
89 568 3,581 5,008 0.5027 0.13226 0.12410
90 2,678 12,149 12,331 0.21880 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 699 99,397 7,792,193 77.92
99,301 73 99,268 7,692,796 77.47
99,228 26 99,213 7,593,528 76.53
99,202 28 99,186 7,494,315 75.55
99,174 38 99,154 7,395,129 74.57
99,137 31 99,122 7,295,974 73.60
99,106 16 99,097 7,196,853 72.62
99,089 21 99,079 7,097,756 71.63
99,068 10 99,064 6,998,676 70.65
99,058 20 99,047 6,899,612 69.65
99,037 17 99,027 6,800,565 68.67
99,021 21 99,011 6,701,538 67.68
99,000 16 98,992 6,602,527 66.69
98,984 18 98,975 6,503,534 65.70
98,966 22 98,958 6,404,559 64.71
98,944 27 98,930 6,305,601 63.73
98,917 37 98,900 6,206,672 62.75
98,880 66 98,841 6,107,772 61.77
98,814 48 98,789 6,008,931 60.81
98,766 77 98,724 5,910,142 59.84
98,689 84 98,644 5,811,418 58.89
98,605 88 98,560 5,712,774 57.94
98,517 116 98,455 5,614,214 56.99
98,401 118 98,344 5,515,759 56.05
98,283 98 98,232 5,417,415 55.12
98,184 114 98,131 5,319,183 54.18
98,070 108 98,015 5,221,052 53.24
97,962 145 97,895 5,123,037 52.30
97,817 143 97,743 5,025,142 51.37
97,675 106 97,625 4,927,400 50.45
97,569 98 97,523 4,829,775 49.50
97,471 110 97,413 4,732,252 48.55
97,361 128 97,296 4,634,839 47.60
97,232 96 97,184 4,537,543 46.67
97,136 119 97,076 4,440,359 45.71
97,018 142 96,946 4,343,283 44.77
96,876 125 96,812 4,246,337 43.83
96,751 134 96,681 4,149,525 42.89
96,617 131 96,552 4,052,844 41.95
96,486 164 96,403 3,956,292 41.00
96,322 152 96,252 3,859,889 40.07
96,170 133 96,099 3,763,637 39.14
96,038 159 95,960 3,667,537 38.19
95,878 149 95,812 3,571,578 37.25
95,729 173 95,643 3,475,766 36.31
95,556 210 95,447 3,380,123 35.37
95,346 196 95,239 3,284,675 34.45
95,150 242 95,037 3,189,436 33.52
94,908 241 94,784 3,094,399 32.60
94,667 242 94,552 2,999,614 31.69
94,424 387 94,237 2,905,063 30.77
94,037 401 93,845 2,810,826 29.89
93,637 469 93,405 2,716,981 29.02
93,167 354 92,994 2,623,576 28.16
92,814 498 92,567 2,530,582 27.27
92,316 515 92,060 2,438,015 26.41
91,801 548 91,534 2,345,956 25.55
91,253 623 90,934 2,254,422 24.71
90,630 624 90,317 2,163,488 23.87
90,006 719 89,632 2,073,171 23.03
89,287 771 88,896 1,983,539 22.22
88,516 877 88,084 1,894,643 21.40
87,639 906 87,197 1,806,559 20.61
86,733 980 86,245 1,719,362 19.82
85,753 1,024 85,247 1,633,118 19.04
84,729 1,184 84,130 1,547,870 18.27
83,545 1,198 82,962 1,463,740 17.52
82,347 1,238 81,734 1,380,778 16.77
81,108 1,353 80,423 1,299,045 16.02
79,755 1,455 79,028 1,218,622 15.28
78,301 1,761 77,452 1,139,594 14.55
76,540 1,875 75,630 1,062,143 13.88
74,665 1,955 73,681 986,513 13.21
72,711 2,195 71,614 912,831 12.55
70,516 2,232 69,375 841,217 11.93
68,283 2,278 67,123 771,842 11.30
66,005 2,519 64,692 704,719 10.68
63,486 2,888 62,036 640,027 10.08
60,597 2,768 59,207 577,992 9.54
57,829 3,062 56,305 518,784 8.97
54,767 3,270 53,151 462,480 8.44
51,498 3,470 49,722 409,328 7.95
48,027 3,617 46,221 359,606 7.49
44,410 3,689 42,542 313,385 7.06
40,721 3,760 38,797 270,844 6.65
36,961 3,489 35,214 232,047 6.28
33,472 3,485 31,633 196,833 5.88
29,988 3,904 28,101 165,200 5.51
26,083 3,284 24,436 137,099 5.26
22,799 2,829 21,392 112,663 4.94
19,970 19,970 91,271 91,271 4.57
Tabla de mortalidad para el total de la población. 1987
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1987 1/1/1988
0 418 54,136 52,959 0.1399 0.00781 0.00775
1 31 55,412 52,929 0.4325 0.00057 0.00057
2 23 53,855 54,355 0.5309 0.00043 0.00043
3 21 55,394 54,281 0.4371 0.00038 0.00038
4 16 57,826 56,006 0.4426 0.00028 0.00028
5 15 62,510 58,229 0.4906 0.00025 0.00025
6 12 66,165 62,814 0.3208 0.00019 0.00019
7 11 70,163 66,473 0.4829 0.00016 0.00016
8 16 74,758 70,408 0.5411 0.00022 0.00022
9 14 79,466 74,892 0.3505 0.00018 0.00018
10 14 82,727 79,801 0.3650 0.00017 0.00017
11 19 87,206 83,169 0.4435 0.00022 0.00022
12 19 88,629 87,537 0.4910 0.00022 0.00022
13 21 88,237 89,003 0.5700 0.00024 0.00024
14 21 86,793 88,706 0.4596 0.00024 0.00024
15 26 86,720 87,514 0.5314 0.00030 0.00030
16 44 85,788 87,429 0.4815 0.00051 0.00051
17 44 83,937 86,526 0.4465 0.00052 0.00052
18 56 83,702 84,771 0.4406 0.00066 0.00066
19 74 83,135 84,346 0.5291 0.00088 0.00088
20 67 83,899 83,593 0.4966 0.00080 0.00080
21 67 82,451 84,352 0.5503 0.00080 0.00080
22 82 82,956 82,833 0.5138 0.00099 0.00099
23 90 83,065 83,534 0.5056 0.00108 0.00108
24 101 80,121 83,517 0.5590 0.00123 0.00123
25 80 78,199 80,598 0.4523 0.00101 0.00101
26 91 76,283 78,642 0.5166 0.00117 0.00117
27 74 77,247 76,733 0.4488 0.00096 0.00096
28 81 75,385 77,833 0.4821 0.00106 0.00106
29 72 74,861 75,841 0.4462 0.00096 0.00096
30 72 74,565 75,235 0.4422 0.00096 0.00096
31 63 70,186 74,904 0.4395 0.00087 0.00087
32 77 68,925 70,328 0.4952 0.00111 0.00111
33 70 66,185 69,188 0.4810 0.00103 0.00103
34 59 67,618 66,356 0.4713 0.00088 0.00088
35 54 67,849 67,742 0.4705 0.00080 0.00080
36 81 64,709 67,958 0.4966 0.00122 0.00122
37 77 65,837 64,818 0.4668 0.00118 0.00118
38 92 68,629 66,229 0.4812 0.00136 0.00136
39 121 73,308 68,705 0.4896 0.00170 0.00170
40 92 66,981 73,393 0.4871 0.00131 0.00131
41 114 62,967 67,058 0.4405 0.00175 0.00175
42 109 67,826 62,938 0.5191 0.00167 0.00167
43 122 65,568 67,952 0.5062 0.00183 0.00183
44 105 63,783 65,495 0.4899 0.00162 0.00162
45 94 54,707 63,727 0.5564 0.00159 0.00159
46 140 49,712 54,738 0.5349 0.00268 0.00268
47 147 65,959 49,666 0.5195 0.00254 0.00254
48 128 40,934 66,030 0.5112 0.00239 0.00239
49 158 48,554 40,814 0.5071 0.00354 0.00353
50 188 52,776 48,375 0.5037 0.00372 0.00371
51 223 58,268 52,549 0.4830 0.00402 0.00402
52 215 55,154 57,958 0.4889 0.00380 0.00379
53 272 55,377 54,940 0.5115 0.00493 0.00492
54 296 57,152 55,043 0.4960 0.00528 0.00526
55 283 56,127 56,824 0.4746 0.00501 0.00500
56 321 53,566 55,748 0.4799 0.00587 0.00586
57 343 54,431 53,168 0.5135 0.00638 0.00636
58 349 52,375 54,101 0.5048 0.00656 0.00653
59 408 51,417 51,874 0.5121 0.00790 0.00787
60 430 47,605 50,833 0.5086 0.00874 0.00870
61 441 47,695 47,016 0.4742 0.00931 0.00927
62 445 44,674 47,080 0.4823 0.00970 0.00965
63 513 43,852 44,177 0.5047 0.01166 0.01159
64 532 42,510 43,196 0.5054 0.01241 0.01234
65 510 41,709 41,883 0.4878 0.01220 0.01213
66 595 38,379 41,000 0.4991 0.01499 0.01488
67 563 36,160 37,730 0.4978 0.01524 0.01512
68 544 30,774 35,558 0.4705 0.01640 0.01626
69 579 30,099 30,133 0.4959 0.01923 0.01904
70 660 29,373 29,446 0.5069 0.02244 0.02220
71 722 28,102 28,654 0.5096 0.02544 0.02513
72 749 28,118 27,327 0.5064 0.02702 0.02666
73 849 26,883 27,346 0.5068 0.03131 0.03084
74 855 26,279 26,016 0.5224 0.03270 0.03220
75 893 24,950 25,346 0.5093 0.03551 0.03490
76 937 22,765 24,012 0.5011 0.04006 0.03928
77 985 21,547 21,815 0.4997 0.04543 0.04442
78 995 19,394 20,541 0.4967 0.04983 0.04861
79 992 17,350 18,386 0.5027 0.05552 0.05403
80 1,038 15,584 16,336 0.5132 0.06504 0.06304
81 964 14,146 14,566 0.4798 0.06715 0.06488
82 1,057 13,103 13,135 0.4926 0.08057 0.07740
83 970 10,943 12,093 0.5024 0.08422 0.08083
84 964 9,883 9,987 0.4884 0.09703 0.09244
85 861 8,651 8,934 0.4951 0.09792 0.09331
86 885 6,791 7,754 0.5031 0.12168 0.11475
87 760 6,853 6,011 0.5008 0.11816 0.11158
88 641 4,164 5,931 0.4966 0.12699 0.11936
89 554 3,720 3,581 0.5061 0.15177 0.14119
90 2,406 11,399 12,149 0.20435 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 775 99,333 7,804,658 78.05
99,225 57 99,192 7,705,325 77.66
99,168 42 99,148 7,606,132 76.70
99,126 38 99,104 7,506,984 75.73
99,088 28 99,072 7,407,880 74.76
99,060 25 99,047 7,308,808 73.78
99,035 18 99,023 7,209,760 72.80
99,017 16 99,009 7,110,737 71.81
99,001 22 98,991 7,011,729 70.82
98,979 18 98,967 6,912,738 69.84
98,961 17 98,950 6,813,771 68.85
98,944 22 98,932 6,714,820 67.86
98,922 21 98,911 6,615,888 66.88
98,901 23 98,891 6,516,977 65.89
98,877 24 98,864 6,418,087 64.91
98,854 29 98,840 6,319,222 63.93
98,824 50 98,798 6,220,383 62.94
98,774 51 98,746 6,121,584 61.98
98,723 66 98,686 6,022,839 61.01
98,657 87 98,616 5,924,153 60.05
98,570 79 98,530 5,825,536 59.10
98,491 79 98,456 5,727,006 58.15
98,412 97 98,365 5,628,550 57.19
98,315 106 98,262 5,530,185 56.25
98,209 121 98,155 5,431,923 55.31
98,088 99 98,034 5,333,767 54.38
97,989 115 97,933 5,235,734 53.43
97,874 94 97,822 5,137,801 52.49
97,780 103 97,726 5,039,979 51.54
97,676 93 97,625 4,942,252 50.60
97,583 94 97,531 4,844,628 49.65
97,489 85 97,442 4,747,097 48.69
97,405 108 97,350 4,649,655 47.74
97,297 101 97,245 4,552,304 46.79
97,197 86 97,151 4,455,060 45.84
97,111 77 97,070 4,357,908 44.88
97,034 118 96,974 4,260,838 43.91
96,915 114 96,854 4,163,864 42.96
96,801 132 96,733 4,067,010 42.01
96,669 165 96,585 3,970,277 41.07
96,505 126 96,440 3,873,692 40.14
96,378 169 96,284 3,777,252 39.19
96,209 160 96,132 3,680,969 38.26
96,049 175 95,962 3,584,837 37.32
95,874 156 95,794 3,488,874 36.39
95,718 152 95,651 3,393,080 35.45
95,566 256 95,447 3,297,429 34.50
95,310 242 95,194 3,201,982 33.60
95,068 227 94,957 3,106,788 32.68
94,841 335 94,676 3,011,831 31.76
94,506 351 94,332 2,917,155 30.87
94,156 378 93,960 2,822,823 29.98
93,777 356 93,596 2,728,863 29.10
93,422 460 93,197 2,635,267 28.21
92,962 489 92,715 2,542,070 27.35
92,473 462 92,230 2,449,354 26.49
92,011 539 91,730 2,357,124 25.62
91,472 581 91,189 2,265,394 24.77
90,891 594 90,596 2,174,205 23.92
90,297 711 89,950 2,083,608 23.08
89,586 779 89,203 1,993,658 22.25
88,807 823 88,374 1,904,455 21.44
87,984 849 87,544 1,816,081 20.64
87,135 1,010 86,634 1,728,537 19.84
86,125 1,063 85,599 1,641,903 19.06
85,062 1,031 84,534 1,556,303 18.30
84,031 1,250 83,404 1,471,770 17.51
82,780 1,252 82,152 1,388,365 16.77
81,528 1,326 80,826 1,306,214 16.02
80,203 1,527 79,433 1,225,387 15.28
78,676 1,746 77,814 1,145,954 14.57
76,929 1,933 75,981 1,068,140 13.88
74,996 2,000 74,009 992,159 13.23
72,997 2,251 71,886 918,150 12.58
70,746 2,278 69,658 846,263 11.96
68,468 2,390 67,295 776,605 11.34
66,078 2,595 64,783 709,310 10.73
63,483 2,820 62,072 644,527 10.15
60,663 2,949 59,179 582,455 9.60
57,714 3,118 56,163 523,276 9.07
54,596 3,442 52,920 467,113 8.56
51,154 3,319 49,427 414,192 8.10
47,835 3,703 45,956 364,765 7.63
44,132 3,567 42,357 318,808 7.22
40,565 3,750 38,647 276,451 6.81
36,815 3,435 35,081 237,805 6.46
33,380 3,830 31,477 202,724 6.07
29,550 3,297 27,904 171,247 5.80
26,253 3,134 24,675 143,343 5.46
23,119 3,264 21,507 118,668 5.13
19,855 19,855 97,162 97,162 4.89
Tabla de mortalidad para el total de la población. 1986
Edad x (1) Defunciones Población a(x) (2) m(x) (3) q(x) (4)
1/1/1986 1/1/1987
0 428 56,468 54,136 0.1413 0.00774 0.00769
1 42 53,430 55,412 0.4766 0.00077 0.00077
2 28 54,783 53,855 0.5004 0.00052 0.00052
3 16 57,424 55,394 0.5082 0.00028 0.00028
4 13 62,205 57,826 0.5248 0.00022 0.00022
5 13 65,858 62,510 0.5526 0.00020 0.00020
6 15 69,919 66,165 0.3741 0.00022 0.00022
7 16 74,625 70,163 0.5092 0.00022 0.00022
8 17 79,132 74,758 0.5462 0.00022 0.00022
9 10 82,285 79,466 0.4707 0.00012 0.00012
10 15 86,876 82,727 0.4663 0.00018 0.00018
11 14 88,256 87,206 0.4560 0.00016 0.00016
12 16 87,769 88,629 0.5486 0.00018 0.00018
13 23 86,071 88,237 0.4706 0.00026 0.00026
14 12 86,011 86,793 0.4486 0.00014 0.00014
15 36 85,049 86,720 0.5711 0.00042 0.00042
16 32 83,102 85,788 0.5675 0.00038 0.00038
17 35 83,057 83,937 0.5343 0.00042 0.00042
18 52 82,678 83,702 0.5082 0.00063 0.00062
19 61 83,445 83,135 0.4395 0.00073 0.00073
20 58 82,068 83,899 0.4552 0.00070 0.00070
21 78 82,378 82,451 0.5513 0.00095 0.00095
22 77 82,613 82,956 0.4637 0.00093 0.00093
23 73 79,643 83,065 0.4963 0.00090 0.00090
24 86 77,756 80,121 0.5463 0.00109 0.00109
25 73 75,834 78,199 0.5182 0.00095 0.00095
26 80 76,660 76,283 0.4885 0.00105 0.00105
27 57 74,928 77,247 0.5065 0.00075 0.00075
28 84 74,487 75,385 0.4723 0.00112 0.00112
29 68 74,226 74,861 0.5576 0.00091 0.00091
30 66 70,043 74,565 0.4712 0.00091 0.00091
31 65 68,661 70,186 0.4928 0.00094 0.00094
32 65 66,013 68,925 0.4924 0.00096 0.00096
33 69 67,493 66,185 0.4040 0.00103 0.00103
34 56 67,741 67,618 0.5560 0.00083 0.00083
35 71 64,599 67,849 0.4932 0.00107 0.00107
36 69 65,445 64,709 0.5563 0.00106 0.00106
37 80 68,552 65,837 0.4996 0.00119 0.00119
38 86 73,223 68,629 0.4959 0.00121 0.00121
39 84 66,904 73,308 0.5194 0.00120 0.00120
40 95 62,995 66,981 0.5181 0.00146 0.00146
41 107 67,699 62,967 0.4918 0.00164 0.00164
42 117 65,642 67,826 0.4507 0.00175 0.00175
43 107 63,840 65,568 0.5352 0.00165 0.00165
44 101 54,675 63,783 0.5269 0.00171 0.00170
45 125 49,759 54,707 0.4880 0.00239 0.00239
46 135 65,889 49,712 0.4982 0.00234 0.00233
47 135 41,053 65,959 0.5054 0.00252 0.00252
48 157 48,732 40,934 0.4869 0.00350 0.00350
49 154 53,002 48,554 0.5031 0.00303 0.00303
50 195 58,579 52,776 0.5137 0.00350 0.00350
51 211 55,367 58,268 0.4471 0.00371 0.00371
52 233 55,711 55,154 0.4963 0.00420 0.00419
53 276 57,479 55,377 0.5102 0.00489 0.00488
54 291 56,507 57,152 0.5067 0.00512 0.00511
55 317 53,963 56,127 0.5043 0.00576 0.00574
56 335 54,760 53,566 0.4997 0.00619 0.00617
57 339 52,875 54,431 0.5157 0.00632 0.00630
58 389 52,000 52,375 0.5211 0.00745 0.00743
59 393 48,195 51,417 0.5071 0.00789 0.00786
60 411 48,309 47,605 0.5216 0.00857 0.00854
61 451 45,170 47,695 0.4941 0.00971 0.00967
62 472 44,507 44,674 0.5085 0.01059 0.01053
63 462 43,136 43,852 0.4894 0.01062 0.01056
64 501 42,417 42,510 0.4970 0.01180 0.01173
65 490 39,029 41,709 0.5024 0.01214 0.01207
66 517 36,761 38,379 0.4779 0.01376 0.01366
67 515 31,416 36,160 0.5209 0.01524 0.01513
68 571 30,752 30,774 0.5011 0.01856 0.01839
69 591 30,091 30,099 0.4928 0.01964 0.01944
70 608 28,878 29,373 0.5035 0.02088 0.02066
71 724 28,891 28,102 0.4953 0.02541 0.02508
72 742 27,751 28,118 0.4954 0.02656 0.02621
73 777 27,211 26,883 0.5127 0.02873 0.02833
74 818 25,887 26,279 0.5170 0.03136 0.03089
75 935 23,714 24,950 0.5039 0.03843 0.03771
76 931 22,554 22,765 0.5073 0.04109 0.04027
77 949 20,401 21,547 0.4893 0.04525 0.04422
78 895 18,365 19,394 0.5037 0.04741 0.04632
79 929 16,601 17,350 0.5080 0.05473 0.05329
80 958 15,156 15,584 0.5077 0.06233 0.06047
81 931 14,114 14,146 0.4774 0.06589 0.06369
82 976 11,898 13,103 0.4921 0.07807 0.07510
83 963 10,831 10,943 0.5025 0.08846 0.08473
84 878 9,547 9,883 0.5059 0.09038 0.08652
85 900 7,572 8,651 0.5131 0.11095 0.10527
86 855 7,776 6,791 0.4747 0.11739 0.11057
87 669 4,748 6,853 0.4672 0.11534 0.10866
88 661 4,308 4,164 0.5052 0.15604 0.14486
89 559 3,376 3,720 0.5030 0.15756 0.14612
90 2,354 10,596 11,399 0.21405 1.00000
(1) x = 90 es el intervalo abierto que comprende a las personas de 90 y más años
(2) a(x) = fracción de los años vividos por las personas fallecidas de edad cumplida x , esto es, en el intervalo [ x, x+1 )
No se puede calcular para el intervalo abierto x = 90.
(3) m(x) = defunciones de personas de edad cumplida x dividido entre la media de la población de edad cumplida x en
en el año considerado y en el año posterior
(4) q(x) = m(x) / (1 + (1-a(x)) m(x) )
(5) l(x) = número de personas de la cohorte inicial de 100.000 personas que sobreviven a la edad exacta x
(6) d(x) = número de defunciones ocurridas a la edad x de la cohorte inicial de 100.000
(7) L(x) = población estacionaria con x años cumplidos
En el caso del intervalo abierto x = 90, dado que no se puede usar a(x), se utiliza la fórmula l(x) / m(x)
(8) T(x) = años vividos
(9) E(x) = esperanza de vida a la edad x
Fuente: Instituto de Estadística de la Comunidad de Madrid
l(x) (5) d(x) (6) L(x) (7) T(x) (8) E(x) (9)
100,000 769 99,340 7,803,533 78.04
99,231 77 99,191 7,704,193 77.64
99,155 51 99,129 7,605,002 76.70
99,104 28 99,090 7,505,873 75.74
99,075 21 99,065 7,406,783 74.76
99,054 20 99,045 7,307,718 73.78
99,034 22 99,020 7,208,673 72.79
99,012 22 99,001 7,109,653 71.81
98,990 22 98,980 7,010,652 70.82
98,968 12 98,962 6,911,671 69.84
98,956 18 98,947 6,812,710 68.85
98,939 16 98,930 6,713,763 67.86
98,923 18 98,915 6,614,833 66.87
98,905 26 98,891 6,515,918 65.88
98,879 14 98,871 6,417,027 64.90
98,865 41 98,847 6,318,156 63.91
98,824 37 98,807 6,219,309 62.93
98,786 41 98,767 6,120,501 61.96
98,745 62 98,714 6,021,734 60.98
98,683 72 98,643 5,923,020 60.02
98,611 69 98,573 5,824,377 59.06
98,542 93 98,500 5,725,804 58.11
98,449 92 98,400 5,627,304 57.16
98,357 88 98,313 5,528,904 56.21
98,269 107 98,220 5,430,592 55.26
98,162 93 98,117 5,332,371 54.32
98,069 103 98,016 5,234,254 53.37
97,966 73 97,930 5,136,238 52.43
97,893 110 97,835 5,038,307 51.47
97,783 89 97,744 4,940,472 50.52
97,694 89 97,647 4,842,728 49.57
97,605 91 97,559 4,745,081 48.62
97,514 94 97,466 4,647,523 47.66
97,420 101 97,360 4,550,057 46.71
97,319 80 97,284 4,452,697 45.75
97,239 104 97,186 4,355,413 44.79
97,135 103 97,089 4,258,227 43.84
97,032 115 96,974 4,161,138 42.88
96,916 117 96,857 4,064,164 41.93
96,799 116 96,743 3,967,307 40.99
96,683 141 96,615 3,870,564 40.03
96,542 158 96,461 3,773,949 39.09
96,384 169 96,291 3,677,488 38.15
96,215 159 96,141 3,581,197 37.22
96,056 164 95,978 3,485,056 36.28
95,892 229 95,775 3,389,078 35.34
95,663 223 95,551 3,293,303 34.43
95,440 241 95,321 3,197,752 33.51
95,199 333 95,029 3,102,431 32.59
94,867 287 94,724 3,007,402 31.70
94,579 331 94,418 2,912,679 30.80
94,249 349 94,055 2,818,260 29.90
93,899 394 93,701 2,724,205 29.01
93,505 456 93,282 2,630,504 28.13
93,049 475 92,815 2,537,222 27.27
92,574 532 92,310 2,444,407 26.40
92,042 568 91,758 2,352,097 25.55
91,475 576 91,196 2,260,338 24.71
90,899 675 90,575 2,169,143 23.86
90,223 709 89,874 2,078,567 23.04
89,514 764 89,149 1,988,694 22.22
88,750 858 88,316 1,899,545 21.40
87,892 926 87,438 1,811,229 20.61
86,967 919 86,498 1,723,791 19.82
86,048 1,009 85,540 1,637,293 19.03
85,039 1,026 84,528 1,551,753 18.25
84,013 1,148 83,414 1,467,225 17.46
82,865 1,254 82,264 1,383,811 16.70
81,611 1,501 80,862 1,301,547 15.95
80,110 1,558 79,320 1,220,685 15.24
78,553 1,623 77,747 1,141,364 14.53
76,930 1,930 75,956 1,063,618 13.83
75,000 1,966 74,008 987,662 13.17
73,034 2,069 72,026 913,654 12.51
70,965 2,192 69,906 841,629 11.86
68,772 2,593 67,486 771,723 11.22
66,179 2,665 64,866 704,237 10.64
63,514 2,809 62,080 639,371 10.07
60,705 2,812 59,310 577,291 9.51
57,894 3,085 56,376 517,981 8.95
54,808 3,314 53,177 461,605 8.42
51,494 3,280 49,780 408,429 7.93
48,214 3,621 46,375 358,649 7.44
44,593 3,778 42,714 312,274 7.00
40,815 3,531 39,070 269,560 6.60
37,284 3,925 35,373 230,490 6.18
33,359 3,689 31,422 195,117 5.85
29,671 3,224 27,953 163,695 5.52
26,447 3,831 24,551 135,742 5.13
22,616 3,305 20,973 111,191 4.92
19,311 19,311 90,218 90,218 4.67