, Baseline results from OLS estimates in Table 4.2 report how changes in housing prices are correlated with changes in the share of high-skilled workers, and that of low-skilled workers, and the SIR in 2000 and 2010 separately. The coefficients for the three dependent variables are shown in separate groups in the table

. Column, After controlling for population, the coefficient of log housing prices does not change much as shown in Column (2) of panel A. Again, adding amenities into the regression, the results presented in Column (3) of panel A exhibit that the coefficient of interest is reduced to 0.424, which is in line with expectation. However, when I control for employment shares across sectors further, the effect of housing prices on the log share of high-skilled workers becomes 0.204 and significant only at the 10% level in 2000 reported in Column (4) of panel A. Specifically, the rising employment shares in trade and catering services and professional service increases the share of high-skilled workers, while the rising employment share in manufacturing decreases the share of high-skilled workers. These results except trade and catering services employment shares are well understood, Panel A shows that housing prices have significant and positive correlations with the share of high-skilled workers in 2000 if nothing else is controlled for

, Surprisingly, after controlling for population, employment shares across sectors and amenities, housing prices have no impacts on the share of low-skilled workers in 2000 as shown in Column

, Overall, effects of housing prices on the shares of high-skilled workers, low-skilled workers, and the SIR are not so significant in 2000. One potential reason is that the hukou regulation was tight by 2000 and mobility costs were high.(Chan and Zhang, 1999) The hukou system is like an internal passport system within China. People's hukou status (local/non-local, urban/rural) is tied to their rights to housing, schooling, health care and employment opportunities. Before 2000, it was very difficult to change hukou status from rural to urban or from one region to another. People could move across cities without changing their hukou but they can benefit from little local public services at the destination place, Panel A. Finally, the coefficient of log housing prices on log SIR is 0.204% and significant only at the 10% level in 2000 shown in Column (12) of Panel A. Population has positive relationship with the SIR, consistent with the findings in Elvery, 2006.

R. P. Albon and D. C. Stafford, Rent control and housing maintenance, Urban Studies, vol.27, issue.2, pp.233-240, 1990.

R. Arnott and E. Shevyakhova, Tenancy rent control and credible commitment in maintenance, Regional Science and Urban Economics, vol.47, pp.72-85, 2014.

C. Au and J. V. Henderson, Are chinese cities too small?, The Review of Economic Studies, vol.73, issue.3, pp.549-576, 2006.

R. Ault and R. Saba, The economic effects of long-term rent control: The case of new york city, The Journal of Real Estate Finance and Economics, vol.3, issue.1, pp.25-41, 1990.

D. H. Autor, C. J. Palmer, and P. A. Pathak, Housing market spillovers: Evidence from the end of rent control in cambridge, massachusetts, Journal of Political Economy, vol.122, issue.3, pp.661-717, 2014.

M. Bacolod, B. S. Blum, and W. C. Strange, Skills in the city, Journal of Urban Economics, vol.65, issue.2, pp.136-153, 2009.

T. J. Bartik, The estimation of demand parameters in hedonic price models, Journal of political Economy, vol.95, issue.1, pp.81-88, 1987.

T. J. Bartik, Who benefits from state and local economic development policies?, 1991.

K. Basu and P. M. Emerson, Efficiency pricing, tenancy rent control and monopolistic landlords, Economica, vol.70, issue.278, pp.223-232, 2003.

P. E. Beeson, Amenities and regional differences in returns to worker characteristics, Journal of Urban Economics, vol.30, issue.2, pp.224-241, 1991.

D. Black, N. Kolesnikova, and L. Taylor, Earnings functions when wages and prices vary by location, Journal of Labor Economics, vol.27, issue.1, pp.21-47, 2009.

L. Bonneval and F. Robert, L'immobilier de rapport : forme urbaine, rapports de locations et stratégies patrimoniales. Le cas de Lyon, pp.1860-1990, 2009.

J. Brinkman, The supply and demand of skilled workers in cities and the role of industry composition, 2014.

D. A. Broxterman and A. M. Yezer, Why does skill intensity vary across cities? the role of housing cost, Regional Science and Urban Economics, vol.55, pp.14-27, 2015.

S. B. Caudill, Estimating the costs of partial-coverage rent controls: A stochastic frontier approach, The Review of Economics and Statistics, pp.727-731, 1993.

K. W. Chan, Misconceptions and complexities in the study of china's cities: Definitions, statistics, and implications, Eurasian Geography and Economics, vol.48, issue.4, pp.383-412, 2007.

K. W. Chan and L. Zhang, The hukou system and rural-urban migration in china: Processes and changes, The China Quarterly, vol.160, p.818855, 1999.

T. Chaney, D. Sraer, and D. Thesmar, The collateral channel: How real estate shocks affect corporate investment, The American Economic Review, vol.102, issue.6, pp.2381-2409, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01009900

B. Chen and C. Zhang, Human capital and housing prices in chinese cities (in chinese), Social Sciences in China, vol.5, pp.44-65, 2016.

J. Chen and M. Jin, Income elasticity of housing demand in china: micro-data evidence from shanghai, Journal of Contemporary China, vol.23, issue.85, pp.68-84, 2014.

G. C. Chow and L. Niu, Housing prices in urban china as determined by demand and supply, Pacific Economic Review, vol.20, issue.1, pp.1-16, 2015.

R. Diamond, The determinants and welfare implications of us workers' diverging location choices by skill: 1980-2000, The American Economic Review, vol.106, issue.3, pp.479-524, 2016.

R. Diamond, T. Mcquade, and F. Qian, The effects of rent control expansion on tenants, landlords, and inequality: Evidence from san francisco, 2018.

W. E. Diewert, Hedonic regressions. a consumer theory approach, Scanner data and price indexes, pp.317-348, 2003.

Y. Dong, A note on geographical constraints and housing markets in china, Journal of Housing Economics, vol.33, pp.15-21, 2016.

D. Early and J. Phelps, Rent regulations' pricing effect in the uncontrolled sector: An empirical investigation, Journal of Housing Research, vol.10, issue.2, pp.267-285, 1999.

D. W. Early, Rent control, rental housing supply, and the distribution of tenant benefits, Journal of Urban Economics, vol.48, issue.2, pp.185-204, 2000.

P. Eichholtz and T. , Demographics, human capital, and the demand for housing, Journal of Housing Economics, vol.26, pp.19-32, 2014.

J. A. Elvery, City size and skill intensity, Regional Science and Urban Economics, vol.40, issue.6, pp.367-379, 2010.

G. V. Engelhardt and J. M. Poterba, House prices and demographic change: Canadian evidence, Regional Science and Urban Economics, vol.21, issue.4, pp.539-546, 1991.

J. Ermisch, The demand for housing in britain and population ageing: microeconometric evidence, Economica, pp.383-404, 1996.

G. Fallis and L. B. Smith, Uncontrolled prices in a controlled market: the case of rent controls, The American Economic Review, vol.74, issue.1, pp.193-200, 1984.

H. Fang, Q. Gu, W. Xiong, and L. Zhou, Demystifying the chinese housing boom, NBER Macroeconomics Annual, vol.30, 2015.

F. Ferreira and J. Gyourko, Anatomy of the beginning of the housing boom: Us neighborhoods and metropolitan areas, 1993.

J. Friggit, L'´ evolution sur longue période du prix des logements. note de synthèse du SES (Service desétudesdes´desétudes et de la statistique, 2002.

S. Ge and D. T. Yang, Changes in china's wage structure, Journal of the European Economic Association, vol.12, issue.2, pp.300-336, 2014.

E. Glaeser, W. Huang, Y. Ma, and A. Shleifer, A real estate boom with chinese characteristics, Journal of Economic Perspectives, vol.31, issue.1, pp.93-116, 2017.

E. L. Glaeser, Does rent control reduce segregation?, 2002.

E. L. Glaeser, J. Gyourko, and R. E. Saks, Why have housing prices gone up?, American Economic Review, vol.95, issue.2, pp.329-333, 2005.

R. Green and P. H. Hendershott, Age, housing demand, and real house prices, Regional Science and Urban Economics, vol.26, issue.5, pp.465-480, 1996.

R. K. Green and H. Lee, Age, demographics, and the demand for housing, revisited, Regional Science and Urban Economics, vol.61, pp.86-98, 2016.

J. Gyourko, Rethinking federal housing policy: How to make housing plentiful and affordable, 2009.

J. Gyourko and P. Linneman, Equity and efficiency aspects of rent control: An empirical study of new york city, Journal of urban Economics, vol.26, issue.1, pp.54-74, 1989.

J. Gyourko, C. Mayer, and T. Sinai, Superstar cities, American Economic Journal: Economic Policy, vol.5, issue.4, pp.167-99, 2013.

D. Heffley, Landlords, tenants and the public sector in a spatial equilibrium model of rent control, Regional Science and Urban Economics, vol.28, issue.6, pp.745-772, 1998.

P. H. Hendershott, Are real house prices likely to decline by 47 percent?, Regional Science and Urban Economics, vol.21, issue.4, pp.553-563, 1991.

L. Hendricks, The skill composition of us cities, International Economic Review, vol.52, issue.1, pp.1-32, 2011.

L. S. Ho, Rent control: its rationale and effects, Urban Studies, vol.29, issue.7, pp.1183-1189, 1992.

A. S. Holland, The baby boom and the housing market: Another look at the evidence, Regional Science and Urban Economics, vol.21, issue.4, pp.565-571, 1991.

F. Hubert, The impact of rent control on rents in the free sector, Urban Studies, vol.30, issue.1, pp.51-61, 1993.

D. Kim, F. Liu, and A. Yezer, Do inter-city differences in intra-city wage differentials have any interesting implications, Journal of Urban Economics, vol.66, issue.3, pp.203-209, 2009.

N. K. Kutty, The impact of rent control on housing maintenance: A dynamic analysis incorporating european and north american rent regulations, Housing Studies, vol.11, issue.1, pp.69-88, 1996.

L. Lan, Understanding the saving behavior of chinese households: Intergenerational transfer and housing, 2018.

W. D. Larson, Housing and labor market dynamics in growing versus declining cities. Available at SSRN 1702488, 2011.

E. Levin, A. Montagnoli, and R. E. Wright, Demographic change and the housing market: evidence from a comparison of scotland and england, Urban Studies, vol.46, issue.1, pp.27-43, 2009.

M. Li and K. Shen, Population aging and housing consumption: A nonlinear relationship in china, China & World Economy, vol.21, issue.5, pp.60-77, 2013.

W. Liang, M. Lu, and H. Zhang, Housing prices raise wages: Estimating the unexpected effects of land supply regulation in china, Journal of Housing Economics, vol.33, pp.70-81, 2016.

T. Lindh and B. Malmberg, Demography and housing demand-what can we learn from residential construction data, Journal of Population Economics, vol.21, issue.3, pp.521-539, 2008.

N. G. Mankiw and D. N. Weil, The baby boom, the baby bust, and the housing market, Regional science and urban economics, vol.19, issue.2, pp.235-258, 1989.

D. Mengle, The effect of second generation rent controls on the quality of rental housing. Federal Reserve Bank of Richmond Working Paper, pp.85-90, 1985.

A. Mense, C. Michelsen, and K. A. Cholodilin, Empirics on the causal effects of rent control in germany, 2017.

A. Mian and A. Sufi, House prices, home equity-based borrowing, and the us household leverage crisis, The American Economic Review, vol.101, issue.5, pp.2132-2156, 2011.

C. Moon and J. G. Stotsky, The effect of rent control on housing quality change: a longitudinal analysis, Journal of Political Economy, pp.1114-1148, 1993.

E. Moretti, Human capital externalities in cities. Handbook of regional and urban economics, vol.4, pp.2243-2291, 2004.

E. Moretti, The new geography of jobs, 2012.

E. Moretti, Real wage inequality, American Economic Journal: Applied Economics, vol.5, issue.1, pp.65-103, 2013.

M. P. Murray and G. Sun, The demand for space in china, Journal of Urban Economics, vol.98, pp.214-222, 2017.

J. Nagy, Do vacancy decontrol provisions undo rent control, Journal of Urban Economics, vol.42, issue.1, pp.64-78, 1997.

P. Navarro, Rent control in cambridge, mass. The Public Interest (78), China statistical yearbook, vol.83, 1985.

P. Neuteboom and D. Brounen, Demography and housing demand-dutch cohort evidence, 2007.

F. Ohtake and M. Shintani, The effect of demographics on the japanese housing market, Regional Science and Urban Economics, vol.26, issue.2, pp.189-201, 1996.

E. O. Olsen, What do economists know about the effect of rent control on housing maintenance? The journal of real estate, finance and economics, vol.1, issue.3, pp.295-307, 1988.

F. Ortalo-magne and S. Rady, Housing market dynamics: On the contribution of income shocks and credit constraints, The Review of Economic Studies, vol.73, issue.2, pp.459-485, 2006.

A. Pennington-cross, Measuring external shocks to the city economy: An index of export prices and terms of trade, Real Estate Economics, vol.25, issue.1, pp.105-128, 1997.

P. Raess and T. Von-ungern-sternberg, A model of regulation in the rental housing market, Regional Science and Urban Economics, vol.32, issue.4, pp.475-500, 2002.

J. Roback, Wages, rents, and the quality of life, The Journal of Political Economy, pp.1257-1278, 1982.

M. Roberts, U. Deichmann, B. Fingleton, and T. Shi, Evaluating china's road to prosperity: A new economic geography approach, Regional Science and Urban Economics, vol.42, issue.4, pp.580-594, 2012.
DOI : 10.1016/j.regsciurbeco.2012.01.003

S. Rosen, Hedonic prices and implicit markets: product differentiation in pure competition, Journal of political economy, vol.82, issue.1, pp.34-55, 1974.
DOI : 10.1086/260169

URL : http://www.journals.uchicago.edu/doi/pdfplus/10.1086/260169

S. Rosen, Wage-based indexes of urban quality of life, Current Issues in Urban Economics, pp.74-104, 1979.

A. Saiz, The geographic determinants of housing supply, quarterly Journal of Economics, vol.125, issue.3, 2010.

J. M. Shapiro, Smart cities: quality of life, productivity, and the growth effects of human capital. The review of economics and statistics, vol.88, pp.324-335, 2006.

J. Shi, Y. Wang, and W. Wu, The crowding-out effect of real estate markets on corporate innovation: Evidence from china, 2016.

D. P. Sims, Out of control: What can we learn from the end of massachusetts rent control, Journal of Urban Economics, vol.61, issue.1, pp.129-151, 2007.

J. Stock and M. Yogo, Testing for Weak Instruments in Linear IV Regression, pp.80-108, 2005.

C. Swan, Demography and the demand for housing a reinterpretation of the mankiw-weil demand variable, Regional Science and Urban Economics, vol.25, issue.1, pp.41-58, 1995.

E. Takáts, Aging and house prices, Journal of Housing Economics, vol.21, issue.2, pp.131-141, 2012.

J. B. Taylor, Housing and monetary policy, 2007.

B. Turner and S. Malpezzi, A review of empirical evidence on the costs and benefits of rent control, Swedish Economic Policy Review, issue.10, 2003.

S. Wang, S. H. Chan, and B. Xu, The estimation and determinants of the price elasticity of housing supply: Evidence from china, Journal of Real Estate Research, vol.34, issue.3, pp.311-344, 2012.

S. Wei, X. Zhang, and Y. Liu, Home ownership as status competition: Some theory and evidence, Journal of Development Economics, vol.127, pp.169-186, 2017.
DOI : 10.1016/j.jdeveco.2016.12.001

C. H. Wheeler, On the distributional aspects of urban growth, Journal of Urban Economics, vol.55, issue.2, pp.371-397, 2004.

J. Wu, J. Gyourko, and Y. Deng, Evaluating conditions in major chinese housing markets, Regional Science and Urban Economics, vol.42, issue.3, pp.531-543, 2012.

Z. Yang and J. Chen, Housing affordability and housing policy in urban China, 2014.
DOI : 10.1007/978-3-642-54044-8

C. S. Yearbook, National bureau of statistics of china. China Statistical Yearbook, 2016.

J. Zhang, J. Fan, and J. Mo, Government intervention, land market, and urban development: Evidence from chinese cities, Economic Inquiry, vol.55, issue.1, pp.115-136, 2017.
DOI : 10.1111/ecin.12353

S. Zheng and M. E. Kahn, China's bullet trains facilitate market integration and mitigate the cost of megacity growth, Proceedings of the National Academy of Sciences, vol.110, issue.14, pp.1248-1253, 2013.

S. Zheng, M. E. Kahn, and H. Liu, Towards a system of open cities in china: Home prices, fdi flows and air quality in 35 major cities, Regional Science and Urban Economics, vol.40, issue.1, pp.1-10, 2010.

S. Zheng and H. Liu, Income elasticity of housing demand in china: model, estimation and forecast, China Civil Engineering Journal, vol.7, pp.122-126, 2005.