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. Author manuscript; available in PMC: 2022 Feb 1.
Published in final edited form as: Sociol Methodol. 2020 Dec 8;51(1):1–43. doi: 10.1177/0081175020973054

Table 1.

Two-Generation Mobility Transition Matrices and Gross Reproduction Rates

Father’s Occupation Gross Reproduction Rate (GRR) Historical Social Mobility Son’s Occupation
1 2 3 4 5 Total N
1. Upper nonmanual 2.6 31.1 32.2 8.0 20.9 7.8 100.0 8,564
2. Lower nonmanual 2.4 23.6 44.9 8.8 17.7 5.0 100.0 3,575
3. Upper manual 2.6 10.0 21.6 24.1 36.4 7.9 100.0 9,609
4. Lower manual 2.6 7.7 15.8 9.8 58.6 8.1 100.0 13,306
5. Farming 3.1 7.0 2.9 2.4 9.2 78.5 100.0 43,079
N 8,514 9,806 5,656 17,684 36,473 78,133
Father’s Occupation Gross Reproduction Rate (GRR) Contemporary Social Mobility from PSID Son’s Occupation
1 2 3 4 5 Total N
1. Upper nonmanual 1.5 38.5 22.5 22.5 14.9 1.5 100.0 910
2. Lower nonmanual 1.4 24.1 28.8 26.2 20.3 0.6 100.0 473
3. Upper manual 1.4 16.7 21.5 38.6 22.2 1.0 100.0 1,473
4. Lower manual 1.4 12.7 22.0 33.2 30.1 2.1 100.0 1,024
5. Farming 1.6 13.4 10.7 37.8 20.2 17.9 100.0 262
N 875 911 1,337 920 99 4,142

Source: IPUMS Linked Representative Samples, 1850–1930 (final data release June 2010); Panel Study of Income Dynamics, 1968–2015.

Notes: The two-generation transition matrices show percentages converted from mobility probabilities, e.g., pY2=jY1=i; namely, the son of a father in social position i ends up in position j (see equation (1)).