Chapter 2

----------------------------------------------------------------------Table 6. Number ever incarcerated in a State or Federal prison, bygender, race, Hispanic origin, and age, 2001Number of adults ever incarcerated in a State or Federal prison,by age--18-24       25-34       35-44       45-54      55-64      65 orolderGenderMale         385,000   1,157,000   1,460,000   1,014,000    492,000    529,000Female        24,000     129,000     205,000     118,000     47,000     59,000Race/Hispanic originWhite*       112,000     391,000     628,000     497,000    271,000    304,000Male       104,000     351,000     555,000     452,000    248,000    269,000Female       8,000      41,000      73,000      45,000     23,000     35,000Black*       181,000     567,000     681,000     406,000    162,000    169,000Male       172,000     509,000     597,000     361,000    146,000    151,000Female       9,000      58,000      84,000      45,000     16,000     18,000Hispanic      99,000     295,000     309,000     181,000     69,000     46,000Male        93,000     271,000     279,000     165,000     63,000     41,000Female       6,000      24,000      3,0000      16,000      6,000      5,000Note: Estimates were rounded to the nearest 1,000.  SeeMethodologyfor estimation procedures."*Excludes persons of Hispanic origin.----------------------------------------------------------------------

Regardless of gender, race or Hispanic origin, prevalence rates highest among persons age 35 to 44

Although there was wide variation by race, Hispanic origin, and gender, within each subgroup, persons ages 35 to 44 had the highest percents ever incarcerated in 2001. Among men, the percent ever incarcerated rose for each age group to a peak of 6.5% of those ages 35 to 44 and then declined to 3.1% of those age 65 or older (table 7).

----------------------------------------------------------------------Table 7. Percent of adult population ever incarcerated in a State orFederal prison, by gender, race, Hispanic origin, ang age, 2001Percent of adult population ever incarcerated in a Stateor Federal prison, by age--"18-24    25-34    35-44    45-54    55-64   65 or olderGenderMale         2.7%     6.0%     6.5%     5.3%     4.0%     3.1%Female       0.2      0.7      0.9      0.6      0.3      0.2Race/Hispanic originWhite*       0.6%     1.6%     2.0%     1.7%     1.4%     1.1%Male       1.1      2.8      3.5      3.1      2.5      2.0Female     0.1      0.3      0.5      0.3      0.2      0.2Black*       4.4%    10.9%    12.1%     9.5%     6.7%     5.9%Male       8.5     20.4     22.0     17.7     13.0     11.6Female     0.4      2.1      2.8      1.9      1.1      0.9Hispanic     2.2%     5.1%     5.8%     5.2%     3.6%     2.2%Male       4.0      9.0     10.0      9.5      6.6      4.1Female     0.3      0.8      1.1      0.9      0.6      0.3Note: Percents were based on intercensal resident populationestimates from the U.S. Census Bureau.  SeeMethodologyfor datasources.*Excludes persons of Hispanic origin.U.S. adult resident population, 200118-24        25-34        35-44        45-54        55-64        65 orolderGenderMale        14,417,325    8,939,186   22,389,203   19,117,478   12,022,028   14,607,040Female      13,795,256   19,089,714   22,555,935   19,879,361   13,119,592   20,275,786Race/Hispanic originWhite*      18,303,498   24,885,780   31,782,158   29,517,823   19,800,209   28,884,741Male       9,375,574   12,489,397   15,944,122   14,647,562    9,615,049   12,145,733Female     8,927,925   12,396,383   15,838,036   14,870,261   10,185,160   16,739,009Black*       4,076,908    5,196,820    5,624,914    4,297,967    2,409,671    2,860,327Male       2,008,858    2,472,112    2,666,839    1,963,452    1,043,119    1,133,328Female     2,068,051    2,724,708    2,958,076    2,334,515    1,366,552    1,726,999Hispanic     4,394,592    5,737,009     5,334091    3,448,416    1,936,521    2,098,875Male       2,299,849    2,940,171     2,734938    1,696,233      896,361      885,418Female     2,094,743    2,796,838     2,599153    1,752,183    1,040,160    1,213,457Note: Because of estimation and other rounding procedures, somedetail may not add to totals and may not match precisely totalsin other tables.----------------------------------------------------------------------

There was a similar pattern among women, though the percents were lower than for men. An estimated 0.9% of women ages 35 to 44 had ever been in prison, compared to 0.2% for women ages 18 to 24 and age 65 or older.

When rates were estimated separately by race and Hispanic origin, the variations among age groups remained unchanged. In every gender and racial/ethnic group in 2001, the percent of ever having been incarcerated was lowest among the youngest group (those ages 18 to 24)and the oldest age group (age 65 or older).

Among persons ages 35 to 44, more than 22.0% of black males had ever been incarcerated in prison, over twice as high as Hispanic males (10.0%), and over 6 times higher than white males (3.5%). In this same age group, black women (2.8%) were over twice as likely as Hispanic women (1.1%), and nearly 6 times as likely as white women (0.5%) to have been in prison.

Impact of rising first incarceration rate varies by birth cohort

Persons born prior to 1940 were nearly unaffected by the rising first incarceration rates of the 1980's and 1990's. At younger ages (up to the age of 40), the prevalence rates at 5-year age intervals were the same for persons born in 1935 as in 1910 (table 8). The rising rates of first incarceration increased the prevalence of incarceration among those born in 1935 as they reached age 45. Similarly, the prevalence rates rose for those born in 1930 as they reached age 50.

----------------------------------------------------------------------Table 8. Percent of adults ever incarcerated in a State or Federalprison, by year of birth and agePercent of adults ever incarcerated in a State or Federal prison, by age--Yearborn      20      25      30      35      40      45      50      55      60      65      70      751910      0.4%   0.9%    1.2%    1.3%    1.4%    1.5%    0.5%    1.5%    1.5%    1.5%    1.5%    1.5%1915      0.4    0.9     1.2     1.3     1.4     1.5     1.5     1.5     1.5     1.5     1.5     1.61920      0.4    0.9     1.2     1.3     1.4     1.5     1.5     1.5     1.6     1.6     1.6     1.61925      0.4    0.9     1.2     1.3     1.4     1.5     1.5     1.6     1.6     1.6     1.6     1.61930      0.4    0.9     1.2     1.3     1.4     1.5     1.6     1.6     1.7     1.7     1.7    +1.7+1935      0.4    0.9     1.2     1.3     1.4     1.6     1.7     1.8     1.8     1.9    +1.9     1.9+1940      0.4    0.9     1.2     1.3     1.5     1.7     1.8     2.0     2.0    +2.1     2.1     2.1+1945      0.4    0.9     1.2     1.4     1.7     1.9     2.1     2.3    +2.3     2.4     2.4     2.4+1950      0.4    1.0     1.4     1.7     2.1     2.4     2.7    +2.8     2.9     2.9     2.9     2.9+1955      0.5    1.1     1.7     2.2     2.7     3.2    +3.4     3.6     3.6     3.7     3.7     3.7+1960      0.6    1.4     2.1     2.9     3.5    +4.0     4.3     4.4     4.4     4.5     4.5     4.5+1965      0.7    1.7     2.8     3.7    +4.4     4.9     5.2     5.3     5.3     5.3     5.4     5.4+1970      0.9    2.2     3.4    +4.4     5.1     5.6     5.8     5.9     6.0     6.0     6.0     6.0+1975      1.1    2.6    +3.9     4.9     5.7     6.1     6.4     6.5     6.5     6.5     6.5     6.5+1980      1.2   +2.7     4.0     5.0     5.7     6.2     6.4     6.5     6.6     6.6     6.6     6.6+Note: Based on constant age-specific first incarceration rates after2001 (bolded type--indicated with plus (+) signs).----------------------------------------------------------------------

Among persons born after 1935, the effects of rising first incarceration rates occurred at increasingly younger ages. Persons born in 1955 were the first to record higher prevalence rates at all ages, compared to persons born in prior years. At age 45 the percent ever having been in prison reached 3.2% for persons born in 1955 -- more than double the percent at that age among persons born in 1930 or earlier.

The greatest rise occurred in the percents having been incarcerated among the most recent cohorts. For persons born in 1975, 2.6% had been to prison by age 25, nearly equal to the percent among persons born in 1950 who had been to prison by age 50 (2.7%).

Projections for years after 2001 indicate the percent ever incarcerated will rise at an accelerated pace. If rates of first incarceration remain at 2001 levels, 5.4% of persons born in 1965 are expected to have gone to prison by age 75, more than three times the 1.7% of persons born in 1930.

The projected rise in the percent ever incarcerated slows among persons in later cohorts. Of those born in 1970, 6.0% are expected to have been in prison by age 75, compared to 6.5% of those born in 1975, and 6.6% of those born in 1980.

3.4% of adults projected to have served time in prison by 2010

The prevalence of having been to prison will rise among the U.S. adult population as more birth cohorts experience the full impact of current levels of first incarceration. Assuming that current age-specific rates of first incarceration remain at 2001 levels, the number of adults having ever served time in prison is projected to rise to 7.7 million by 2010. A total of 3.4% of the adult population (1 in 29 persons age 18 or older) is expected to have served time in prison.

----------------------------------------------------------------------Projected prevalence of having gone to State or Federal prison*Year           Number    Percent2001        5,618,000      2.7%2002        5,856,000      2.82003        6,095,000      2.82004        6,332,000      2.92005        6,568,000      3.02006        6,804,000      3.12007        7,040,000      3.12008        7,275,000      3.22009        7,511,000      3.32010        7,745,000      3.4*Based on prevalence estimates for exact ages through 2001 andprojections for exact ages from 2002 through 2010.  SeeMethodologyfor estimation procedures.Projected adultYear     resident population2001        210,207,9012002        212,427,9442003        214,688,2682004        216,918,7132005        219,144,0442006        221,409,9462007        223,754,1932008        226,155,7712009        228,520,7852010        230,792,746----------------------------------------------------------------------

Lifetime likelihood estimates of going to prison differ from current prevalence estimates

The lifetime likelihood of going to prison is an estimate of the percentage of all persons in a birth cohort expected to go to prison over the course of a lifetime. In contrast, the prevalence of ever having gone to prison is an estimate of the percentage who have ever gone to prison among just the surviving members of all birth cohorts over a specific period.

Estimates of the lifetime likelihood of going to prison project the percentage of persons at birth expected to go to prison, if the entire cohort were subject to a fixed set of rates of first admission to prison and mortality over an entire lifetime. In calculating these estimates, incarceration and mortality rates are fixed at the time of "birth" of the cohort.

Standard life table techniques were used to prepare estimates of the lifetime likelihood of going to prison based on rates of first incarceration during a 12-month period derived from inmate surveys conducted in 1974, 1979, 1986, 1991, and 1997. (See Lifetime Likelihood of Going to State or Federal Prison, NCJ 160092, March 1997, for a description of previous estimates.)

6.6% of persons born in 2001 will go to prison, if current rates of first incarceration remain unchanged

If rates of first incarceration and mortality in 2001 remain unchanged, nearly 1 in 15 persons born in 2001 (6.6%) will go to State or Federal prison during their lifetime (figure 3).

Figure 3: Lifetime chances of going to prison

Figure 3: Lifetime chances of going to prison

----------------------------------------------------------------------Figure 3The lifetime chances of going to prison reached 6.6% in 2001,up from 1.9% in 1974Cumulative percent of U.S. residentsgoing to prisonAge    1974     1986     1991     200113      0.0      0.0      0.0      0.014      0.0      0.0      0.0      0.015      0.0      0.0      0.0      0.016      0.0      0.0      0.1      0.017      0.1      0.1      0.2      0.218      0.2      0.2      0.4      0.419      0.3      0.4      0.7      0.820      0.5      0.7      1.1      1.121      0.6      0.9      1.3      1.522      0.7      1.1      1.6      1.823      0.9      1.2      1.9      2.124      1.0      1.4      2.1      2.425      1.1      1.5      2.4      2.626      1.1      1.7      2.6      2.927      1.2      1.8      2.8      3.128      1.3      1.9      3.0      3.429      1.4      2.0      3.2      3.630      1.4      2.1      3.3      3.931      1.5      2.2      3.5      4.132      1.5      2.3      3.6      4.333      1.5      2.4      3.7      4.534      1.6      2.5      3.9      4.735      1.6      2.5      4.0      4.936      1.6      2.6      4.1      5.137      1.7      2.7      4.2      5.238      1.7      2.7      4.3      5.439      1.7      2.8      4.4      5.540      1.7      2.8      4.5      5.641      1.7      2.9      4.5      5.742      1.8      2.9      4.6      5.843      1.8      2.9      4.6      5.944      1.8      3.0      4.7      6.045      1.8      3.0      4.7      6.146      1.8      3.0      4.7      6.147      1.8      3.1      4.8      6.248      1.8      3.1      4.8      6.249      1.8      3.1      4.9      6.250      1.8      3.1      4.9      6.351      1.9      3.2      4.9      6.352      1.9      3.2      4.9      6.453      1.9      3.2      5.0      6.454      1.9      3.2      5.0      6.455      1.9      3.2      5.0      6.456      1.9      3.2      5.0      6.457      1.9      3.2      5.1      6.558      1.9      3.2      5.1      6.559      1.9      3.2      5.1      6.560      1.9      3.3      5.1      6.561      1.9      3.3      5.1      6.562      1.9      3.3      5.1      6.563      1.9      3.3      5.1      6.564      1.9      3.3      5.1      6.565      1.9      3.3      5.1      6.666      1.9      3.3      5.1      6.667      1.9      3.3      5.2      6.668      1.9      3.3      5.2      6.669      1.9      3.3      5.2      6.670      1.9      3.3      5.2      6.671      1.9      3.3      5.2      6.672      1.9      3.3      5.2      6.673      1.9      3.3      5.2      6.674      1.9      3.3      5.2      6.675      1.9      3.3      5.2      6.6----------------------------------------------------------------------

Unlike the yearend 2001 prevalence rate of 2.7%, which represents the cumulative result of the past incarceration experiences of the living adult population, the lifetime likelihood is a hypothetical projection of the future if a birth cohort were to experience a fixed set of rates of first incarceration and mortality over a lifetime.

Between 1974 and 2001, the lifetime chances of going to State or Federal prison for U.S. residents overall in- creased from 1.9% to 6.6%. Each estimate summarized the effects of first incarceration and mortality during a 12-month period in 1974, 1986, 1991, and 2001. The estimates do not take into account changes in rates of first incarceration or mortality that occur after the "birth" of the hypothetical cohort. As a result of steadily rising rates of first incarceration from 1974 to 2001, the lifetime chances of going to prison for persons born in 1974 will be higher than 1.9%. Based on rates of first incarceration through 2001, an estimated 2.6% of persons born in 1975 had already been incarcerated by age 25.

6 times higher lifetime chance of going to prison in 2001 for men than for women

Based on rates of first incarceration in 2001, the lifetime chances for men of going to prison are 6 times greater than those for women (table 9). A male has a 11.3% (or 1 in 9) chance in his life-time of going to prison, while a female has a 1.8% (or 1 in 56) chance. An estimated 9.6% of men and 1.5% of women are expected to go to prison by age 40, as first incarceration rates riserapidly, then decline with advancing age (figures 4 and 5).

----------------------------------------------------------------------Table 9. Lifetime chances of going to State or Federal prison forthe first time, by gender, race, and Hispanic orign, 1974-2001Percent of resident population expected to go toState or Federal prison for the first time, byyear--1974     1979     1986     1991     1997     2001GenderMale           3.6%     4.1%     6.0%     9.1%    10.6%    11.3%Female         0.3      0.4      0.6      1.1      1.5      1.8Race/Hispanic originWhite*         1.2%     1.4%     2.0%     2.5%     3.1      3.4%Male         2.2      2.5      3.6      4.4      5.4      5.9Female       0.2      0.2      0.3      0.5      0.7      0.9Black*         7.0%     7.2%     9.3%    16.5%    17.7     18.6%Male        13.4     13.4     17.4     29.4     31.0     32.2Female       1.1      1.4      1.8      3.6      4.9      5.6Hispanic       2.2%     3.3%     6.2%     9.5%    10.5     10.0%Male         4.0      6.0     11.1     16.3     18.0     17.2Female       0.4      0.4      0.9      1.5      2.2      2.2Note: Percents represent the chances of being admitted to State orFederal prison during a lifetime.Estimates were obtained by applying age-specific first incarcerationand mortality rates for each group to a hypothetical population of100,000 births.  SeeMethodology.*Excludes persons of Hispanic origin.----------------------------------------------------------------------

Figure 4: Nearly 1 in 3 black males likely to go to prison

Figure 4: Nearly 1 in 3 black males likely to go to prison

----------------------------------------------------------------------Figure 4+Nearly 1 in 3 black males likely to go to prisonbased on constant 2001 incarceration rates+Cumulative percent of males going to prisonAge    Total    White    Black   Hispanic13      0.0      0.0      0.0      0.014      0.0      0.0      0.0      0.015      0.0      0.0      0.0      0.016      0.1      0.0      0.3      0.117      0.3      0.1      1.3      0.318      0.8      0.3      3.0      1.019      1.4      0.5      4.9      2.120      2.1      0.8      6.7      3.021      2.7      1.2      8.2      4.122      3.3      1.5      9.8      5.023      3.8      1.6     11.8      5.524      4.3      1.8     13.7      6.025      4.7      2.1     15.1      6.726      5.2      2.3     16.9      7.227      5.6      2.5     18.0      7.928      6.1      2.8     19.3      8.629      6.5      3.0     20.2      9.330      6.9      3.3     21.0      10.331      7.2      3.4     22.2      10.832      7.6      3.6     23.2      11.033      7.9      3.8     23.8      11.534      8.1      4.0     24.5      12.035      8.4      4.1     25.2      12.536      8.7      4.3     26.1      13.037      9.0      4.4     27.2      13.238      9.2      4.6     27.7      13.439      9.4      4.7     28.2      13.840      9.6      4.7     28.6      14.141      9.7      4.9     29.1      14.442      9.9      5.0     29.5      14.843     10.1      5.1     30.0      15.244     10.3      5.2     30.3      15.445     10.4      5.2     30.7      15.646     10.5      5.3     30.8      15.847     10.6      5.3     31.1      15.948     10.6      5.4     31.2      15.949     10.7      5.5     31.3      16.150     10.7      5.5     31.4      16.151     10.8      5.5     31.5      16.452     10.9      5.6     31.6      16.553     10.9      5.7     31.7      16.654     11.0      5.7     31.8      16.755     11.0      5.7     31.9      16.856     11.0      5.7     32.0      16.857     11.1      5.7     32.0      16.958     11.1      5.8     32.0      16.959     11.1      5.8     32.0      17.060     11.1      5.8     32.0      17.161     11.2      5.8     32.1      17.162     11.2      5.8     32.2      17.163     11.2      5.8     32.2      17.164     11.2      5.8     32.2      17.265     11.2      5.9     32.2      17.266     11.2      5.9     32.2      17.267     11.2      5.9     32.2      17.268     11.2      5.9     32.2      17.269     11.2      5.9     32.2      17.270     11.2      5.9     32.2      17.271     11.3      5.9     32.2      17.272     11.3      5.9     32.2      17.273     11.3      5.9     32.2      17.274     11.3      5.9     32.2      17.275     11.3      5.9     32.2      17.2----------------------------------------------------------------------

Figure 5: 1 in 19 black females likely to go to prison

Figure 5: 1 in 19 black females likely to go to prison

----------------------------------------------------------------------Figure 51 in 19 black females compared with 1 in 118 whitefemales likely to go to prisonCumulative percent of femalesgoing to prisonAge    Total    White    Black   Hispanic13      0.0      0.0      0.0      0.014      0.0      0.0      0.0      0.015      0.0      0.0      0.0      0.016      0.0      0.0      0.0      0.017      0.0      0.0      0.1      0.118      0.1      0.0      0.1      0.119      0.1      0.0      0.2      0.120      0.1      0.1      0.3      0.221      0.2      0.1      0.4      0.322      0.2      0.1      0.5      0.323      0.3      0.1      0.7      0.524      0.3      0.2      0.9      0.525      0.4      0.2      1.0      0.626      0.5      0.2      1.4      0.627      0.5      0.3      1.7      0.728      0.6      0.3      1.8      0.829      0.7      0.4      2.1      0.930      0.8      0.4      2.3      1.131      0.9      0.4      2.7      1.132      1.0      0.5      3.0      1.233      1.1      0.5      3.3      1.334      1.1      0.6      3.5      1.435      1.2      0.6      3.7      1.536      1.3      0.6      4.0      1.637      1.3      0.7      4.2      1.738      1.4      0.7      4.4      1.739      1.4      0.7      4.6      1.840      1.5      0.8      4.7      1.841      1.5      0.8      4.9      1.942      1.6      0.8      4.9      1.943      1.6      0.8      5.1      1.944      1.6      0.8      5.2      1.945      1.6      0.8      5.3      1.946      1.7      0.8      5.4      2.047      1.7      0.8      5.4      2.148      1.7      0.8      5.4      2.149      1.7      0.8      5.5      2.150      1.7      0.9      5.5      2.151      1.7      0.9      5.5      2.152      1.7      0.9      5.5      2.153      1.7      0.9      5.5      2.254      1.7      0.9      5.5      2.255      1.7      0.9      5.5      2.256      1.7      0.9      5.5      2.257      1.7      0.9      5.5      2.258      1.7      0.9      5.6      2.259      1.7      0.9      5.6      2.260      1.7      0.9      5.6      2.261      1.8      0.9      5.6      2.262      1.8      0.9      5.6      2.263      1.8      0.9      5.6      2.264      1.8      0.9      5.6      2.265      1.8      0.9      5.6      2.266      1.8      0.9      5.6      2.267      1.8      0.9      5.6      2.268      1.8      0.9      5.6      2.269      1.8      0.9      5.6      2.270      1.8      0.9      5.6      2.271      1.8      0.9      5.6      2.272      1.8      0.9      5.6      2.273      1.8      0.9      5.6      2.274      1.8      0.9      5.6      2.275      1.8      0.9      5.6      2.2----------------------------------------------------------------------

In 2001, the chances of going to prison were highest among black males (32.2%)and Hispanic males (17.2%) and lowest among white males (5.9%). The lifetime chances of going to prison among black females (5.6%) were nearly as high as for white males. Hispanic females (2.2%) and white females (0.9%) had much lower chances of going to prison.

As a result of changes in first incarceration and mortality rates between 1974 and 2001, black males experienced a greater increase in the chances of going to prison over the course of a lifetime than any other group (from 13.4% in 1974 to 32.2% in 2001). Hispanic males experienced the second largest increase (from 4.0% in 1974 to 17.2% in 2001). White males experienced a smaller increase (from 2.2% in 1974 to 5.9% in 2001).

The lifetime chances of going to prison increased more rapidly for black females (from 1.1% in 1974 to 5.6% in 2001) than for white males. Hispanic females (from 0.4% in 1974 to 2.2% in 2001) and white females (from 0.2% in 1974 to 0.9% in 2001) had smaller increases in their lifetime chances of going to prison.

At every age men have higher chances of going to prison than women, and blacks and Hispanics have higher chances than whites. Based on current rates of first incarceration, an estimated 6.7% of black males will enter State or Federal prison by the time they are age 20, compared to 3.0% of Hispanic males and 0.8% of white males.

Methodology

Life table techniques

Life table techniques previously used to illustrate the implications of prevailing incarceration rates in 1991 have been extended to model the incarceration experience of actual generations of U.S. residents. (See Lifetime Likelihood of Going to State or Federal Prison, NCJ 160092, March 1997.) These generation life tables provide the data needed to estimate the number of living persons who have ever been incarcerated.

A generation life table traces a birth cohort of 100,000 persons through their entire lives, subjecting them to the observed age-specific mortality and incarceration rates which they encountered in each subsequent calendar year of life. The procedure is known as a double-decrement life table because there are two forms of exit from the initial 100,000 birth cohort. The procedure yields estimates of the number of persons in the birth cohort who are incarcerated for the first time each year or who die.

At each year of age, the estimated number of living persons ever incarcerated is equal to the number of persons identified as a prisoner for the first time that year plus the number of surviving members of the birth cohort who were prisoners in prior years. The age-specific prevalence rate for members of the birth cohort is obtained by dividing the surviving number of persons ever incarcerated by the number of members of the 100,000 birth cohort who have survived to the current age (including both those never incarcerated and those ever incarcerated).

----------------------------------------------------------------------Appendix table 1.  Calculating the number of persons everincarcerated in State or Federal prison, 2001Prevalence of ever going to prison, 2001U.S. residentpopulation,Year of     Age in            2000[a]      Percent[b]   Number[c]birth       2001               (1)           (2)          (3)1983-1901   18 or older    210,207,901       2.673     56180002001-1988   0-13            56,557,383       0.000           01987        14               4,063,179       0.000           01986        15               4,071,585       0.000           01985        16               4,083,677       0.036       1,0001984        17               4,117,221       0.174       7,0001983        18               4,022,021       0.453      18,0001982        19               4,327,407       0.794      34,0001981        20               4,264,552       1.146      49,0001980        21               4,140,721       1.510      63,0001979        22               3,935,452       1.845      73,0001978        23               3,756,052       2.155      81,0001977        24               3,766,377       2.428      91,0001976        25               3,643,765       2.676      97,0001975        26               3,572,926       2.911     104,0001974        27               3,579,019       3.082     110,0001973        28               3,386,129       3.252     110,0001972        29               3,876,011       3.360     130,0001971        30               3,989,205       3.506     140,0001970        31               4,032,301       3.584     145,0001969        32               3,993,019       3.689     147,0001968        33               3,899,282       3.764     147,0001967        34               4,057,246       3.824     155,0001966        35               4,110,892       3.857     159,0001965        36               4,182,093       3.895     163,0001964        37               4,416,302       3.887     172,0001963        38               4,265,440       3.840     164,0001962        39               4,826,377       3.778     182,0001961        40               4,725,422       3.692     174,0001960        41               4,634,371       3.641     169,0001959        42               4,597,285       3.563     164,0001958        43               4,518,648       3.507     158,0001957        44               4,668,310       3.439     161,0001956        45               4,464,137       3.356     150,0001955        46               4,227,667       3.267     138,0001954        47               4,192,570       3.180     133,0001953        48               3,863,432       3.068     119,0001952        49               4,131,847       2.953     122,0001951        50               3,838,209       2.819     108,0001950        51               3,595,173       2.688      97,0001949        52               3,516,992       2.584      91,0001948        53               3,497,820       2.475      87,0001947        54               3,668,994       2.397      88,0001946        55               3,180,818       2.341      74,0001945        56               2,746,790       2.280      63,0001944        57               2,788,492       2.220      62,0001943        58               2,665,273       2.173      58,0001942        59               2,710,967       2.131      58,0001941        60               2,398,614       2.086      50,0001940-1931   61-70           19,778,402        ...      377,0001930-1901   71 or older     23,755,091        ...      384,000[a] The number of U.S. residents on December 31, 2001, by age, werebased on projections for July 1, 2000, and July 1, 2001.(See Projections of the Resident Population by Age, Sex,, Race andHispanic Origin: 1999 to 2100, U.S. Census Bureau, NP-D1-A, middleseries.)  The data were adjusted for the undercount in the 1990decennial census.[b] Based on separate generation life tables starting in the year ofbirth of the persons at each year of age.  (See Appendix tables 2and 3 for calculations for selected years of birth.)[c] Estimates were calculated by multiplying column (1) by column (2)and rounded to the nearest 1,000.... Not shown, because all calculations were based on rates for singleyears of age.----------------------------------------------------------------------

To model the incarceration experience of the adult resident population in 2001, a separate generation life table was needed for each birth cohort born from 1901 to 1983. For example, of those born in 1980 and alive in 2001, an estimated 1.510% had ever gone to prison (Appendix table 1, column 2). Multiplying by 4,140,721 U.S. residents age 21 in 2001 (column 1), produced an estimate of 63,000 persons, age 21 in 2001, who had ever been incarcerated (column 3).

Similarly, the generation life table for the 1970 birth cohort produced an estimated prevalence of 3.584% among those age 31 in 2001. Multiplying by 4,032,301 U.S. residents age 31 in 2001 resulted in an estimated 145,000 persons age 31 in 2001 who had ever been incarcerated. The estimated 5,618,000 adults ever incarcerated in 2001 was obtained by summing the number of persons ever incarcerated, age 18 or older. Dividing by the adult resident population of 210,207,901 yielded an estimated prevalence of ever having gone to prison of 2.673% in 2001.

Estimating prevalence of imprisonment in the United States

To illustrate the application of generation life table techniques resulting in the 1.510% rate of ever having gone to prison among persons born in 1980, consider the following calculations:

1. Estimates of the number of persons in a population of 100,000 born in 1980 who died during each age interval were obtained by multiplying the age-specific mortality rate (Appendix table 2, column 2) by the number of persons alive and not previously incarcerated at each age (column 1).

* For example, among persons who reached age 21 without having been previously incarcerated, a total of 92 were estimated to have died (column 3) before reaching age 22 (that is, 96,607 times the mortality rate of 0.000955).

2. The number of persons in the 1980 cohort who were at risk to incarceration during an age interval was then calculated by subtracting the number dying from the number of persons who were alive and not previously incarcerated at the beginning of the age interval (column 1 minus column 3).

* An estimated 96,515 of the persons who survived to age 21 without being incarcerated were at risk to first incarceration at age 21.

3. The number of persons in the original 100,000 population estimated to have been admitted to prison at each age (column 5) was then obtained by multiplying the age-specific first admission rates (column 4)by the number of persons alive and not previously incarcerated.

* Among persons born in 1980 who had not been previously incarcerated by age 21, 343 were estimated to have been incarcerated before they reached age 22 (that is, 96,515 times the first incarceration rate of .003557).

4. The number of living persons at each age who had ever gone to prison was then calculated by summing the number going to prison for the first time during that year of age (column 5) plus the number of members of the 1980 birth cohort who previously went to prison and survived until the next year of age (column 6 times the survival rate, not shown).

* Of the 1,132 persons who had gone to prison and reached age 20, 1,131 survived to reach age 21. An additional 343 persons were expected to be incarcerated for the first time before reaching age 22 (for a cumulative total of 1,474).

5. The percent of persons at each specific age who had ever gone to prison (column 7) was then calculated by dividing the number of persons who had ever gone to prison and were still alive (column 6) by all persons who were still alive (including persons never incarcerated plus ever incarcerated).

* Among persons age 21, the prevalence rate was 1.510%, obtained by dividing 1,474 (column 6) by 97,646 (column 1 minus columns 3 and 5, plus 1,474), times 100%.

Prevalence rates for other birth cohorts were calculated using similar procedures. For example, to estimate the percent of persons age 31 in 2001 who had ever gone to prison, the calculations were applied to the 1970 birth cohort. However, the rates of first incarceration (column 4) and mortality (column 2) used in the calculations were unique to the birth cohort. (Note the differences between Appendix tables 2 and 3.)


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