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Figure 5a. Implied selection of return migrants, Di erence between estimated convergence Original data and occupation score coding panel sample versus the cross section, by sending country. This figure uses the original panel data and cross section data, with original occupation scores. Results are from a regression of equation (1) estimated separately for the panel and cross section data. Coe cients that are significantly di erent from zero at the 10% level are in black. 19

Figure 5b. Implied selection of return migrants, Di erence between estimated convergence Original data with IPUMS occupation scores panel sample versus the cross section, by sending country. This figure uses the original panel data and cross section data with occupation scores assigned using the IPUMS crosswalk. Results are from a regression of equation (1) estimated separately for the panel and cross section data. Coe cients that are significantly di erent from zero at the 10% level are in black. is omitted due to missing occupation information. 20

Figure 5c. Implied selection of return migrants, Di erence between estimated convergence Full count census data with IPUMS occupation scores panel sample versus the cross section, by sending country. This figure uses the original cross section data and panel data matched using the standard ABE method on the full count census. Occupation scores are assigned using the IPUMS crosswalk. Results are from a regression of equation (1) estimated separately for the panel and cross section data. Coe in black. cients that are significantly di erent from zero at the 10% level are 21

Figure 5d. Implied selection of return migrants, Di erence between estimated convergence Full count census data with NBER occupation scores Notes:This graph reports the di erence between immigrants occupation upgrading relative to natives (defined as the di erence between occupation-based earnings after 21-30 years and after 0-5 years) in the panel sample versus the cross section, by sending country. This figure uses the original cross section data and panel data matched using the standard ABE method on the full count census. Occupation scores are assigned using the NBER crosswalk. Results are from a regression of equation (1) estimated separately for the panel and cross section data. Coe cients that are significantly di erent from zero at the 10% level are in black. 22

Figure 5e. Implied selection of return migrants, Di erence between estimated convergence Full count census data with conservative matching -2000 0 2000 4000 Notes:This graph reports the di erence between immigrants occupation upgrading relative to natives (defined as the di erence between occupation-based earnings after 21-30 years and after 0-5 years) in the panel sample versus the cross section, by sending country. This figure uses the original cross section data and panel data matched using the conservative (5-year band) ABE method on the full count census. Occupation scores are assigned using the NBER crosswalk. Results are from a regression of equation (1) estimated separately for the panel and cross section data. Coe are in black. cients that are significantly di erent from zero at the 10% level 23

Figure 5f. Implied selection of return migrants, Di erence between estimated convergence Full count census data with both forwards and backwards matching -2000 0 2000 4000 panel sample versus the cross section, by sending country. This figure uses the original cross section data and panel data matched using the conservative (5-year band) ABE method on the full count census. Occupation scores are assigned using the NBER crosswalk. Additionally, only pairs matched successfully using both forwards and backwards matching are included. Results are from a regression of equation (1) estimated separately for the panel and cross section data. Coe 10% level are in black. cients that are significantly di erent from zero at the 24