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New Estimates of the Elasticity of Substitution of Land for Capital

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  • Gabriel Ahlfeldt
  • Daniel McMillen

Abstract

We reconcile conflicting evidence on the magnitude of the elasticity of substitution of land for capital, which is a key determinant of the relationship between the price of land and the density of land use. We first compare the performance of classic estimation approaches with a new estimation procedure using a series of Monte Carlo experiments. We then apply the approaches to various real-world data sets drawn from Berlin, Chicago, and Pittsburgh. Our results indicate that many existing estimates are likely to be biased downward, and the true elasticity is likely to be closer to one than widely believed in the literature. The results suggest that a Cobb-Douglas form is a reasonable approximation to of the production function for housing.

Suggested Citation

  • Gabriel Ahlfeldt & Daniel McMillen, 2014. "New Estimates of the Elasticity of Substitution of Land for Capital," ERSA conference papers ersa14p108, European Regional Science Association.
  • Handle: RePEc:wiw:wiwrsa:ersa14p108
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    File URL: https://www-sre.wu.ac.at/ersa/ersaconfs/ersa14/e140826aFinal00108.pdf
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    References listed on IDEAS

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    1. Gabriel M. Ahlfeldt & Stephen J. Redding & Daniel M. Sturm & Nikolaus Wolf, 2015. "The Economics of Density: Evidence From the Berlin Wall," Econometrica, Econometric Society, vol. 83, pages 2127-2189, November.
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    Cited by:

    1. Molloy, Raven & Nathanson, Charles G. & Paciorek, Andrew, 2022. "Housing supply and affordability: Evidence from rents, housing consumption and household location," Journal of Urban Economics, Elsevier, vol. 129(C).
    2. Rainald Borck & Jan K. Brueckner, 2018. "Optimal Energy Taxation in Cities," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 5(2), pages 481-516.
    3. Borri, Nicola & Reichlin, Pietro, 2018. "The housing cost disease," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 106-123.
    4. Tomohiro Hirano & Alexis Akira Toda, 2023. "Unbalanced Growth, Elasticity of Substitution, and Land Overvaluation," CIGS Working Paper Series 23-014E, The Canon Institute for Global Studies.
    5. Sevrin Waights, 2019. "The preservation of historic districts—is it worth it?," Journal of Economic Geography, Oxford University Press, vol. 19(2), pages 433-464.
    6. Or Levkovich & Jan Rouwendal, 2016. "Spatial Planning and Segmentation of the Land Market," Tinbergen Institute Discussion Papers 16-018/VIII, Tinbergen Institute.
    7. Gregory Casey & Ryo Horii, 2019. "A Multi-factor Uzawa Growth Theorem and Endogenous Capital-Augmenting Technological Change," 2019 Meeting Papers 1458, Society for Economic Dynamics.
    8. Miles, David & Sefton, James, 2017. "Houses across time and across place," CEPR Discussion Papers 12103, C.E.P.R. Discussion Papers.
    9. Kenneth G. Stewart, 2022. "How important are land values in house price growth? Evidence from Canadian cities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(1), pages 249-271, February.
    10. Tan, Ya & Wang, Zhi & Zhang, Qinghua, 2020. "Land-use regulation and the intensive margin of housing supply," Journal of Urban Economics, Elsevier, vol. 115(C).
    11. Borck, Rainald, 2016. "Will skyscrapers save the planet? Building height limits and urban greenhouse gas emissions," Regional Science and Urban Economics, Elsevier, vol. 58(C), pages 13-25.
    12. Lang, Bree J., 2015. "Input distortions in the Low-Income Housing Tax Credit: Evidence from building size," Regional Science and Urban Economics, Elsevier, vol. 52(C), pages 119-128.
    13. Michael D. Eriksen & Anthony W. Orlando, 2022. "Returns to Scale in Residential Construction: The Marginal Impact of Building Height," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 50(2), pages 534-564, June.
    14. Yoshida, Jiro, 2016. "Structure Depreciation and the Production of Real Estate Services," HIT-REFINED Working Paper Series 44, Institute of Economic Research, Hitotsubashi University.
    15. Raven S. Molloy & Charles G. Nathanson & Andrew D. Paciorek, 2020. "Housing Supply and Affordability: Evidence from Rents, Housing Consumption and Household Location," Finance and Economics Discussion Series 2020-044, Board of Governors of the Federal Reserve System (U.S.).

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    More about this item

    Keywords

    Elasticity of substitution; housing production function; land values; Monte Carlo simulatio;
    All these keywords.

    JEL classification:

    • R20 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - General
    • R30 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - General

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