
Figure 1
School fee decomposition for migrants and urban residents.
Note: City-level mean school fees of urban residents/migrants are decomposed into two components: (1) tuition fees and (2) other fees (including food and accommodation, remedial classes, uniform and other sponsorship fees, etc.)
Source: Rural–Urban Migration in China 2008.

Figure 2
School fees and lagged education spending shocks.
Note: We plot the median school fees paid by migrants in 2007 against the city-level education spending shocks in 2006 (linear filter).
Sources: Rural–Urban Migration in China 2008 and China City Statistical Yearbook 2002–2008.
Table 1
Summary statistics from the RUMiC sample, China 2008
| Variable | (1) | (2) | (3) | (4) | (5) |
|---|---|---|---|---|---|
| n | Mean | SD | Max | Min | |
| Household characteristics | |||||
| Head’s age | 1,349 | 36.77 | 4.99 | 62 | 20 |
| Head is female | 1,349 | 0.26 | 0.44 | 1 | 0 |
| Head completed primary school | 1,349 | 0.82 | 0.39 | 1 | 0 |
| Head completed middle school | 1,349 | 0.29 | 0.46 | 1 | 0 |
| Head lives with spouse | 1,349 | 0.65 | 0.48 | 1 | 0 |
| Head lives with child | 1,349 | 0.38 | 0.49 | 1 | 0 |
| Number of school-age children living with head | 1,349 | 0.46 | 0.65 | 3 | 0 |
| Migrated within province | 1,349 | 0.57 | 0.50 | 1 | 0 |
| Remittances sent out for educational purposes (’000 yuan) | 1,349 | 1.10 | 2.23 | 18 | 0 |
| Household per capita income (’000 yuan) | 1,349 | 1.34 | 1.01 | 12 | 0 |
| Head is working | 1,349 | 0.97 | 0.16 | 1 | 0 |
| Head is self-employed | 1,349 | 0.36 | 0.48 | 1 | 0 |
| Destination city characteristics | |||||
| Growth rate of student–teacher ratio | 1,349 | 1.02 | 2.19 | 6.56 | −2.58 |
| Education spending shocks (HP filter, lagged 1 year) | 1,349 | −0.29 | 0.93 | 1.05 | −2.66 |
| Education spending shocks (linear filter, lagged 1 year) | 1,349 | −0.46 | 1.27 | 1.02 | −3.82 |
| Education spending shocks (HP filter, lagged 2 years) | 1,349 | −0.64 | 0.96 | 0.39 | −3.50 |
| Housing prices in 2007 (’000 yuan) | 1,349 | 5.60 | 2.62 | 13.37 | 2.29 |
| Mean school fees (in migrant sample) (Ln) | 1,349 | 2475.05 | 887.85 | 5720.00 | 954.17 |
| Median school fees (in migrant sample) (Ln) | 1,349 | 1758.46 | 699.62 | 3130.00 | 650.00 |
| Coastal city | 1,349 | 0.47 | 0.50 | 1 | 0 |
| Guangzhou | 1,349 | 0.07 | 0.25 | 1 | 0 |
| Dongguan | 1,349 | 0.05 | 0.22 | 1 | 0 |
| Shenzhen | 1,349 | 0.04 | 0.19 | 1 | 0 |
| Shanghai | 1,349 | 0.11 | 0.31 | 1 | 0 |
| Nanjing | 1,349 | 0.06 | 0.24 | 1 | 0 |
| Wuxi | 1,349 | 0.03 | 0.16 | 1 | 0 |
| Hangzhou | 1,349 | 0.08 | 0.27 | 1 | 0 |
| Ningbo | 1,349 | 0.04 | 0.20 | 1 | 0 |
| Zhengzhou | 1,349 | 0.07 | 0.26 | 1 | 0 |
| Luoyang | 1,349 | 0.04 | 0.19 | 1 | 0 |
| Hefei | 1,349 | 0.09 | 0.29 | 1 | 0 |
| Bengbu | 1,349 | 0.06 | 0.23 | 1 | 0 |
| Chongqing | 1,349 | 0.09 | 0.29 | 1 | 0 |
| Wuhan | 1,349 | 0.08 | 0.27 | 1 | 0 |
| Chengdu | 1,349 | 0.10 | 0.30 | 1 | 0 |
Table 2
Effects of median school fees on child migration, China 2008
| Variable | (1) | (2) | (3) |
|---|---|---|---|
| Median school fee (Ln) | −0.428** (0.169) | −0.168*** (0.057) | −0.160** (0.068) |
| Head’s age | 0.004 (0.004) | 0.004 (0.003) | 0.004 (0.003) |
| Head is female | 0.092 (0.058) | 0.025 (0.045) | 0.025 (0.045) |
| Head completed primary school | 0.013 (0.036) | −0.013 (0.030) | −0.012 (0.029) |
| Head completed middle school | 0.009 (0.028) | 0.024 (0.028) | 0.023 (0.027) |
| Head is working | −0.115** (0.057) | −0.112* (0.060) | |
| Head is self-employed | 0.281*** (0.032) | 0.279*** (0.033) | |
| Migrated within province | 0.133*** (0.048) | 0.123*** (0.038) | |
| Growth rate of student–teacher ratio | −0.014** (0.007) | −0.013 (0.008) | |
| Housing price in 2007 (’000 yuan) | −0.004 (0.008) | ||
| Constant | 3.413*** (1.233) | 1.500*** (0.406) | 1.467*** (0.464) |
| Observations | 1,349 | 1,349 | 1,349 |
| Mean of dependent variable | 0.378 | 0.378 | 0.378 |
| Original province FE | Yes | Yes | Yes |
| Industry FE | No | Yes | Yes |
| RMSE | 0.493 | 0.432 | 0.432 |
| Prob > χ2 | 0.000 | 0.000 | 0.000 |
| First-stage F statistics | 8.273 | 21.165 | 15.146 |
| Non-instrumented regressions | −0.141** (0.062) | −0.072** (0.034) | −0.042 (0.042) |
[i] Notes: Each column presents the results from separate IV regressions with different independent variables, where the IV is the one-year lag of shocks to public education spending. The dependent variable is a dummy variable that equals 1 if there is at least one child living with the household head and 0 otherwise. The regressions use the median school fees reported in the migrant household sample as a regressor. Different sets of control variables are included in different columns. R-squared values are not reported, instead RMSE, the sample standard deviation of the differences between the predicted values and observed values, is reported under each column. Standard errors in parentheses are clustered at the city level. Prob > χ2 is the p-value of the chi-square test of overall significance. F statistics of the first-stage regressions are also reported. ***p < 0.01, **p < 0.05, and *p < 0.1. FE, fixed effects; RMSE, root mean square error; RUMiC, Rural–Urban Migration in China.
Sources: RUMiC 2008 and China City Statistical Yearbook 2002–2008.
Table 3
Effects of median school fees on the numbers of children brought to the city, China 2008
| Variable | (1) | (2) | (3) |
|---|---|---|---|
| Median school fee (Ln) | −0.536** (0.227) | −0.211** (0.089) | −0.205** (0.103) |
| Observations | 1,349 | 1,349 | 1,349 |
| Mean of dependent variable | 0.458 | 0.458 | 0.458 |
| HH’s employment variables and industry FE | No | Yes | Yes |
| Growth rate of student–teacher ratio | No | Yes | Yes |
| Housing prices in 2007 | No | No | Yes |
| RMSE | 0.493 | 0.432 | 0.432 |
| Prob > χ2 | 0.000 | 0.000 | 0.000 |
| First-stage F statistics | 8.273 | 21.165 | 15.146 |
[i] Notes: Each column presents the results from separate IV regressions with different independent variables, where the IV is the 1-year lag of shocks to public education spending. The dependent variable is the numbers of children living with their parents in the house-hold. The regressions use the median school fees reported in the migrant household sample as a regressor. Similar to Table 2, household head’s demographics and original province FE are controlled in all the columns, and additional sets of control variables are included in columns 2 and 3. R-squared values are not reported. Instead, RMSE, the sample standard deviation of the differences between the predicted values and observed values, is reported under each column. Standard errors in parentheses are clustered at the city level. Prob > χ2 is the p-value of the chi-square test of overall significance. F statistics of the first-stage regressions are also reported. **p < 0.05, FE, fixed effects; HH, household; RMSE, root mean square error; RUMiC, Rural–Urban Migration in China.
Sources: RUMiC 2008 and China City Statistical Yearbook 2002–2008.
Table 4
Effects of median school fees on the gender of children brought to the city, China 2008
| Variable | (1) | (2) | (3) |
|---|---|---|---|
| Median school fee (Ln) | −0.417 (0.234)* | −0.086 (0.085) | −0.082 (0.096) |
| Observations | 662 | 662 | 662 |
| Mean of dependent variable | 0.377 | 0.377 | 0.377 |
| HH’s employment variables and industry FE | No | Yes | Yes |
| Growth rate of student–teacher ratio | No | Yes | Yes |
| Housing prices in 2007 | No | No | Yes |
| RMSE | 0.491 | 0.420 | 0.420 |
| Prob > χ2 | 0.040 | 0.000 | 0.000 |
| First-stage F statistics | 6.926 | 19.696 | 12.374 |
[i] Notes: Each column presents the results from separate IV regressions with different school fee measures and different independent variables, where the IV is the 1-year lag of shocks to public education spending. The dependent variable is girl representativeness – defined as girls as a share of the number of migrant children divided by girls as a share of the total number of children in the household. Regressions use the median school fees reported in the migrant household sample as a regressor. Similar to Table 2, household head’s demographics and original province FE are controlled in all the columns, and additional sets of control variables are included in columns 2 and 3. R-squared values are not reported, instead RMSE, the sample standard deviation of the differences between the predicted values and observed values, is reported under each column. Standard errors in parentheses are clustered at the city level. Prob > χ2 is the p-value of the chi-square test of overall significance. F statistics of the first stage regressions are also reported. *p < 0.1. FE, fixed effects; HH, household; RMSE, root mean square error; RUMiC, Rural–Urban Migration in China.
Sources: RUMiC 2008 and China City Statistical Yearbook 2002–2008.
Table 5
Alternative measures of school fees and other robustness checks, China 2008
| Variable | (1) | (2) | (3) | (4) | (5) | (6) |
|---|---|---|---|---|---|---|
| School fees | Tuition fees | School fees | School fees (’000 yuan) | School fees, urban | ||
| Median | Median | p25 | p75 | Median | Median | |
| Panel A | ||||||
| School fees | −0.160** (0.068) | −0.129** (0.058) | −0.167*** (0.052) | −0.253** (0.118) | −0.107** (0.043) | −0.094** (0.047) |
| Observations | 1,349 | 1,349 | 1,349 | 1,349 | 1,349 | 1,349 |
| Mean of dependent variable | 0.378 | 0.378 | 0.378 | 0.378 | 0.378 | 0.378 |
| First-stage F statistics | 15.146 | 15.807 | 8.150 | 11.610 | 13.256 | 7.229 |
| (7) | (8) | (9) | (10) | (11) | ||
|---|---|---|---|---|---|---|
| Tuition fees, urban | Control for income | Control for social protection spending | HP filter | 2-Year lagged shock | ||
| Median | Median | Median | Median | Median | ||
| Panel B | ||||||
| School fees | −0.115** (0.051) | −0.137** (0.064) | −0.166** (0.077) | −0.157** (0.072) | −0.198** (0.085) | |
| Observations | 1,349 | 1,349 | 1,349 | 1,349 | 1,349 | |
| Mean of dependent variable | 0.378 | 0.378 | 0.378 | 0.378 | 0.378 | |
| First-stage F statistics | 8.540 | 15.094 | 12.244 | 10.448 | 6.883 | |
[i] Notes: Each column presents the results from separate IV regressions with different school fee measures and different independent variables, where the IV is the 1-year lag of shocks to public education spending. The dependent variable is a dummy variable that equals 1 if there is at least one child living with the household head in urban areas and 0 otherwise. The different measures of school fees under columns (1)–(7) are defined as follows: Column (1), log median school fees (including tuition fees, food and accommodation, remedial classes, and other fees) reported in the migrant sample; column (2), log median tuition fees reported in the migrant household sample; columns (3) and (4), log 25th percentile and 75th percentile school fees reported in the migrant household sample; column (5), median school fees (in ’000 yuan) reported in the migrant household sample; column (6), log median school fees reported in the urban household sample; and column (7), log median tuition fees reported in the urban household sample. Columns (8)–(11) use the same measures of school fees as in column (1). In column (8), household income per capita is included as a control variable. In column (9), social protection spending per capita at the city level is included as a control variable. In column (10), the shocks generated by HP filter with smoothing parameter 6.25 is used as an instrument. In column (11), the sum of the public education spending shocks in 2005 and 2006 (linear filter) is used as an instrument. All regressions include the following controls: household heads’ demographics, household heads’ working variables, within province dummy variable, growth rate of student–teacher ratio, housing prices in 2007, industry FE, and original province FE. Standard errors in parentheses are clustered at the city level. **p < 0.05, HP, Hodrick–Prescott; RUMiC, Rural–Urban Migration in China.
Sources: RUMiC 2008 and China City Statistical Yearbook 2002–2008.
Table 6
Median school fees and child migration during the economic crisis, China 2009
| Variable | (1) | (2) | (3) |
|---|---|---|---|
| Median school fee (Ln), (OLS) | −0.226*** (0.043) | −0.148*** (0.046) | −0.121*** (0.044) |
| Median school fee (Ln), (IV) | −0.449*** (0.154) | −0.440 (0.311) | −0.408 (0.359) |
| Observations | 1,005 | 1,005 | 1,005 |
| Mean of dependent variable | 0.305 | 0.305 | 0.305 |
| HH’s employment variables and industry (FE) | No | Yes | Yes |
| Growth rate of student–teacher ratio | No | Yes | Yes |
| Housing prices in 2008 | No | No | Yes |
| First-stage F statistics | 22.310 | 3.371 | 1.605 |
[i] Notes: Each column presents the results from separate IV regressions with different independent variables, where the IV is the 1-year lag of shocks to public education spending. The dependent variable is a dummy variable that equals 1 if there is at least one child living with the household head and 0 otherwise. Regressions use the median school fees reported in the migrant household sample as a regressor. Similar to Table 2, household head’s demographics and original province FE are controlled in all the columns, and additional sets of control variables are included in columns 2 and 3. R-squared values are not reported, instead RMSE, the sample standard deviation of the differences between the predicted values and observed values, is reported under each column. Standard errors in parentheses are clustered at the city level. Prob > χ2 is the p-value of the chi-square test of overall significance. F statistics of the first-stage regressions are also reported. ***p < 0.01, FE, fixed effects; HH, household; IV, instrumental variable; OLS, ordinary least squares; RMSE, root mean square error; RUMiC, Rural–Urban Migration in China.
Sources: RUMiC 2009 and China City Statistical Yearbook 2002–2009.
Table 7
Child migration and well-being, China 2008
| Variable | (1) | (2) | (3) |
|---|---|---|---|
| Underweight | Overweight | Child health | |
| Migrated with parent(s) | 0.023 (0.252) | −0.214** (0.105) | 0.263 (0.292) |
| Child’s age | 0.001 (0.007) | −0.017*** (0.005) | 0.002 (0.007) |
| Child’s gender | 0.065*** (0.023) | −0.020* (0.012) | 0.038 (0.032) |
| Head’s age | −0.007 (0.006) | 0.003 (0.002) | −0.004 (0.005) |
| Head is female | 0.032 (0.044) | −0.001 (0.025) | −0.062 (0.063) |
| Head’s height | −0.003 (0.003) | 0.001 (0.001) | 0.006 (0.004) |
| Head completed primary school | −0.070** (0.028) | −0.016 (0.026) | 0.108*** (0.041) |
| Head completed middle school | 0.020 (0.033) | −0.000 (0.022) | −0.006 (0.039) |
| Constant | 1.293*** (0.436) | 0.220 (0.209) | 3.298*** (0.780) |
| Observations | 1,556 | 1,556 | 1,673 |
| Mean of dependent variable | 0.504 | 0.084 | 4.339 |
| Original province FE | Yes | Yes | Yes |
| RMSE | 0.495 | 0.287 | 0.682 |
| Prob > χ2 | 0.000 | 0.000 | 0.000 |
| First-stage F statistics | 20.901 | 20.901 | 23.231 |
[i] Notes: Each column presents the results from separate IV regressions with different school fee measures and different independent variables, where the IV is the 1-year lag of shocks to public education spending. The dependent variables in columns (1)–(3) are defined as follows: column (1), dummy variable indicating underweight (BMI<18.5); column (2), dummy variable indicating overweight (BMI>25); column (3), subjective health score on a 1–5 scale, with a larger score indicating more satisfaction; for migrant children, this question is answered by themselves; for left-behind children, this question is answered by their migrant parents. R-squared values are not reported. Instead, the RMSE, the sample standard deviation of the diferences between the predicted values and observed values, is reported under each column. Standard errors in parentheses are clustered at the city level. Prob > χ2 is the p-value of the chi-square test of overall significance. F statistics of the first stage regressions are also reported. ***p < 0.01, **p < 0.05, and *p < 0.1. FE, fixed effects; RMSE, root mean square error; BMI, body mass index; RUMiC, Rural–Urban Migration in China.
Sources: RUMiC 2008 and China City Statistical Yearbook 2002–2008.