IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-03342578.html
   My bibliography  Save this paper

The Production Function for Housing: Evidence from France

Author

Listed:
  • Pierre-Philippe Combes

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique, CEPR - Center for Economic Policy Research - CEPR)

  • Gilles Duranton

    (University of Pennsylvania)

  • Laurent Gobillon

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We propose a new nonparametric approach to estimate the production function for housing. Our estimation treats output as a latent variable and relies on a first-order condition for profit maximization combined with a zero-profit condition. More desirable locations command higher land prices and, in turn, more capital to build houses. For parcels of a given size, we compute housing production by summing across the marginal products of capital. For newly built single-family homes in France, the production function for housing is close to constant returns and is well, though not perfectly, approximated by a Cobb-Douglas function with a capital elasticity of 0.65.

Suggested Citation

  • Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2021. "The Production Function for Housing: Evidence from France," Post-Print halshs-03342578, HAL.
  • Handle: RePEc:hal:journl:halshs-03342578
    DOI: 10.1086/715076
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03342578
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-03342578/document
    Download Restriction: no

    File URL: https://libkey.io/10.1086/715076?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2012. "The Cost of Agglomeration: Land Prices in Cities," Working Papers hal-03461075, HAL.
    2. Jan De Loecker, 2011. "Product Differentiation, Multiproduct Firms, and Estimating the Impact of Trade Liberalization on Productivity," Econometrica, Econometric Society, vol. 79(5), pages 1407-1451, September.
    3. Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2019. "The Costs of Agglomeration: House and Land Prices in French Cities," Review of Economic Studies, Oxford University Press, vol. 86(4), pages 1556-1589.
    4. Morris A. Davis, 2010. "housing and the business cycle," The New Palgrave Dictionary of Economics,, Palgrave Macmillan.
    5. Fujita,Masahisa, 1991. "Urban Economic Theory," Cambridge Books, Cambridge University Press, number 9780521396455, December.
    6. Chad Syverson, 2011. "What Determines Productivity?," Journal of Economic Literature, American Economic Association, vol. 49(2), pages 326-365, June.
    7. Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon & Sébastien Roux, 2010. "Estimating Agglomeration Economies with History, Geology, and Worker Effects," NBER Chapters, in: Agglomeration Economics, pages 15-66, National Bureau of Economic Research, Inc.
    8. Rupert, Peter & Wasmer, Etienne, 2012. "Housing and the labor market: Time to move and aggregate unemployment," Journal of Monetary Economics, Elsevier, vol. 59(1), pages 24-36.
    9. Klette, Tor Jakob & Griliches, Zvi, 1996. "The Inconsistency of Common Scale Estimators When Output Prices Are Unobserved and Endogenous," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(4), pages 343-361, July-Aug..
    10. Satyajit Chatterjee & Burcu Eyigungor, 2015. "A Quantitative Analysis of the US Housing and Mortgage Markets and the Foreclosure Crisis," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(2), pages 165-184, April.
    11. Capozza, Dennis R. & Helsley, Robert W., 1990. "The stochastic city," Journal of Urban Economics, Elsevier, vol. 28(2), pages 187-203, September.
    12. Ackerberg, Daniel & Lanier Benkard, C. & Berry, Steven & Pakes, Ariel, 2007. "Econometric Tools for Analyzing Market Outcomes," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 63, Elsevier.
    13. Larson, William & Yezer, Anthony, 2015. "The energy implications of city size and density," Journal of Urban Economics, Elsevier, vol. 90(C), pages 35-49.
    14. Chang-Tai Hsieh & Enrico Moretti, 2019. "Housing Constraints and Spatial Misallocation," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(2), pages 1-39, April.
    15. Muth, Richard F., 1975. "Numerical solution of urban residential land-use models," Journal of Urban Economics, Elsevier, vol. 2(4), pages 307-332, October.
    16. Thorsnes, Paul, 1997. "Consistent Estimates of the Elasticity of Substitution between Land and Non-Land Inputs in the Production of Housing," Journal of Urban Economics, Elsevier, vol. 42(1), pages 98-108, July.
    17. Joseph Gyourko, 2009. "Housing Supply," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 295-318, May.
    18. Morris A. Davis & Jonas D. M. Fisher & Toni M. Whited, 2014. "Macroeconomic Implications of Agglomeration," Econometrica, Econometric Society, vol. 82(2), pages 731-764, March.
    19. Dennis Epple & Brett Gordon & Holger Sieg, 2010. "A New Approach to Estimating the Production Function for Housing," American Economic Review, American Economic Association, vol. 100(3), pages 905-924, June.
    20. Amit Gandhi & Salvador Navarro & David Rivers, 2011. "On the Identification of Production Functions: How Heterogeneous is Productivity?," University of Western Ontario, Centre for Human Capital and Productivity (CHCP) Working Papers 20119, University of Western Ontario, Centre for Human Capital and Productivity (CHCP).
    21. Olsen, Edgar O, 1969. "A Competitive Theory of the Housing Market," American Economic Review, American Economic Association, vol. 59(4), pages 612-622, Part I Se.
    22. Nobuhiro Kiyotaki & Alexander Michaelides & Kalin Nikolov, 2011. "Winners and Losers in Housing Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 255-296, March.
    23. Yoshida, Jiro, 2016. "Structure Depreciation and the Production of Real Estate Services," HIT-REFINED Working Paper Series 44, Institute of Economic Research, Hitotsubashi University.
    24. David Albouy & Gabriel Ehrlich & Minchul Shin, 2018. "Metropolitan Land Values," The Review of Economics and Statistics, MIT Press, vol. 100(3), pages 454-466, July.
    25. Duranton, Gilles & Puga, Diego, 2015. "Urban Land Use," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 467-560, Elsevier.
    26. James M. Poterba, 1984. "Tax Subsidies to Owner-Occupied Housing: An Asset-Market Approach," The Quarterly Journal of Economics, Oxford University Press, vol. 99(4), pages 729-752.
    27. Gilles Duranton & J. V. Henderson & William C. Strange (ed.), 2015. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 5, number 5.
    28. Allen Head & Huw Lloyd-Ellis, 2012. "Housing Liquidity, Mobility, and the Labour Market," Review of Economic Studies, Oxford University Press, vol. 79(4), pages 1559-1589.
    29. Alvin Murphy, 2018. "A Dynamic Model of Housing Supply," American Economic Journal: Economic Policy, American Economic Association, vol. 10(4), pages 243-267, November.
    30. Hsieh, Chang-Tai & Moretti, Enrico, 2015. "Why Do Cities Matter? Local Growth and Aggregate Growth," CEPR Discussion Papers 10604, C.E.P.R. Discussion Papers.
    31. Joseph Gyourko & Albert Saiz, 2006. "Construction Costs And The Supply Of Housing Structure," Journal of Regional Science, Wiley Blackwell, vol. 46(4), pages 661-680, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2021. "The Production Function for Housing: Evidence from France," Journal of Political Economy, University of Chicago Press, vol. 129(10), pages 2766-2816.
    2. Duranton, Gilles & Puga, Diego, 2019. "Urban growth and its aggregate implications," CEPR Discussion Papers 14215, C.E.P.R. Discussion Papers.
    3. Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2012. "The Cost of Agglomeration: Land Prices in Cities," Sciences Po publications 9240, Sciences Po.
    4. repec:hal:spmain:info:hdl:2441/6bmhhi42888fj8hn1okddaqsab is not listed on IDEAS
    5. Albouy, David & Behrens, Kristian & Robert-Nicoud, Frédéric & Seegert, Nathan, 2019. "The optimal distribution of population across cities," Journal of Urban Economics, Elsevier, vol. 110(C), pages 102-113.
    6. repec:hal:spmain:info:hdl:2441/68snpauh718coq747l6ekv80cd is not listed on IDEAS
    7. Yoshida, Jiro, 2016. "Structure Depreciation and the Production of Real Estate Services," HIT-REFINED Working Paper Series 44, Institute of Economic Research, Hitotsubashi University.
    8. Lange, Rutger-Jan & Teulings, Coen N, 2021. "The option value of vacant land: Don't build when demand for housing is booming," CEPR Discussion Papers 16023, C.E.P.R. Discussion Papers.
    9. Gilles Duranton & Diego Puga, 2020. "The Economics of Urban Density," Journal of Economic Perspectives, American Economic Association, vol. 34(3), pages 3-26, Summer.
    10. Davis, Morris A. & Van Nieuwerburgh, Stijn, 2015. "Housing, Finance, and the Macroeconomy," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 753-811, Elsevier.
    11. Pflüger, Michael, 2021. "City size, pollution and emission policies," Journal of Urban Economics, Elsevier, vol. 126(C).
    12. DELLOYE, Justin & LEMOY, Rémi & CARUSO, Geoffrey, 2017. "Alonso and the scaling of urban profiles," LIDAM Discussion Papers CORE 2017037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Braun, Stefanie & Lee, Gabriel S., 2021. "The prices of residential land in German counties," Regional Science and Urban Economics, Elsevier, vol. 89(C).
    14. Michael Pflüger, 2020. "City Size, Pollution and Emission Policies," CESifo Working Paper Series 8448, CESifo.
    15. Sergey Kichko, 0. "Competition, land prices and city size," Journal of Economic Geography, Oxford University Press, vol. 20(6), pages 1313-1329.
    16. Amoroso, S., 2013. "Heterogeneity of innovative, collaborative, and productive firm-level processes," Other publications TiSEM f5784a49-7053-401d-855d-1, Tilburg University, School of Economics and Management.
    17. Kristian Behrens & Sergey Kichko & Jacques-Francois Thisse & Sergei Kichko, 2021. "Working from Home: Too Much of a Good Thing?," CESifo Working Paper Series 8831, CESifo.
    18. Holl, Adelheid, 2016. "Highways and productivity in manufacturing firms," Journal of Urban Economics, Elsevier, vol. 93(C), pages 131-151.
    19. Florin Maican & Matilda Orth, 2017. "Productivity Dynamics and the Role of ‘Big-Box’ Entrants in Retailing," Journal of Industrial Economics, Wiley Blackwell, vol. 65(2), pages 397-438, June.
    20. Piazzesi, M. & Schneider, M., 2016. "Housing and Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1547-1640, Elsevier.
    21. Allan Collard-Wexler & Jan De Loecker, 2015. "Reallocation and Technology: Evidence from the US Steel Industry," American Economic Review, American Economic Association, vol. 105(1), pages 131-171, January.
    22. Richter, Philipp M. & Schiersch, Alexander, 2017. "CO2 emission intensity and exporting: Evidence from firm-level data," European Economic Review, Elsevier, vol. 98(C), pages 373-391.

    More about this item

    Keywords

    Housing; Production function;

    JEL classification:

    • R14 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Land Use Patterns
    • R31 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Housing Supply and Markets
    • R32 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Other Spatial Production and Pricing Analysis

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:halshs-03342578. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://hal.archives-ouvertes.fr/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.