IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp7454.html
   My bibliography  Save this paper

Education, Birth Order, and Family Size

Author

Listed:
  • Bagger, Jesper

    (University of Edinburgh)

  • Birchenall, Javier A.

    (University of California, Santa Barbara)

  • Mansour, Hani

    (University of Colorado Denver)

  • Urzua, Sergio

    (University of Maryland)

Abstract

We introduce a general framework to analyze the trade-off between education and family size. Our framework incorporates parental preferences for birth order and delivers theoretically consistent birth order and family size effects on children's educational attainment. We develop an empirical strategy to identify these effects. We show that the coefficient on family size in a regression of educational attainment on birth order and family size does not identify the family size effect as defined within our framework, even when the endogeneity of both birth order and family size are properly accounted for. Using Danish administrative data we test the theoretical implications of the model. The data does not reject our theory. We find significant birth order and family size effects in individuals' years of education thereby confirming the presence of a quantity-quality trade off.

Suggested Citation

  • Bagger, Jesper & Birchenall, Javier A. & Mansour, Hani & Urzua, Sergio, 2013. "Education, Birth Order, and Family Size," IZA Discussion Papers 7454, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp7454
    as

    Download full text from publisher

    File URL: https://docs.iza.org/dp7454.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gary S. Becker & Kevin M. Murphy & Robert Tamura, 1994. "Human Capital, Fertility, and Economic Growth," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition, pages 323-350, National Bureau of Economic Research, Inc.
    2. Becker, Gary S & Tomes, Nigel, 1976. "Child Endowments and the Quantity and Quality of Children," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 143-162, August.
    3. Mark R. Rosenzweig & Junsen Zhang, 2009. "Do Population Control Policies Induce More Human Capital Investment? Twins, Birth Weight and China's "One-Child" Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 1149-1174.
    4. Matthias Doepke, 2004. "Accounting for Fertility Decline During the Transition to Growth," Journal of Economic Growth, Springer, vol. 9(3), pages 347-383, September.
    5. Gary S. Becker & H. Gregg Lewis, 1974. "Interaction between Quantity and Quality of Children," NBER Chapters, in: Economics of the Family: Marriage, Children, and Human Capital, pages 81-90, National Bureau of Economic Research, Inc.
    6. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-1398, November.
    7. Hongbin Li & Junsen Zhang & Yi Zhu, 2008. "The quantity-Quality trade-Off of children In a developing country: Identification using chinese twins," Demography, Springer;Population Association of America (PAA), vol. 45(1), pages 223-243, February.
    8. Tsuya, Noriko O. & 津谷, 典子 & ツヤ, ノリコ, 2003. "Fertility and Family Policies in Nordic Countries, 1960-2000," Discussion Paper 163, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    9. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    10. James H. Stock & Motohiro Yogo, 2002. "Testing for Weak Instruments in Linear IV Regression," NBER Technical Working Papers 0284, National Bureau of Economic Research, Inc.
    11. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    12. William L. Parish & Robert J. Willis, 1993. "Daughters, Education, and Family Budgets Taiwan Experiences," Journal of Human Resources, University of Wisconsin Press, vol. 28(4), pages 863-898.
    13. Rosenzweig, Mark R & Wolpin, Kenneth I, 1980. "Testing the Quantity-Quality Fertility Model: The Use of Twins as a Natural Experiment," Econometrica, Econometric Society, vol. 48(1), pages 227-240, January.
    14. Härdle, Wolfgang & Horowitz, Joel L. & Kreiss, Jens-Peter, 2001. "Bootstrap methods for time series," SFB 373 Discussion Papers 2001,59, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    15. Joshua Angrist & Victor Lavy & Analia Schlosser, 2010. "Multiple Experiments for the Causal Link between the Quantity and Quality of Children," Journal of Labor Economics, University of Chicago Press, vol. 28(4), pages 773-824, October.
    16. Mogstad, M. & Wiswall, M., 2012. "Instrumental variables estimation with partially missing instruments," Economics Letters, Elsevier, vol. 114(2), pages 186-189.
    17. Magne Mogstad & Matthew Wiswall, 2016. "Testing the quantity–quality model of fertility: Estimation using unrestricted family size models," Quantitative Economics, Econometric Society, vol. 7(1), pages 157-192, March.
    18. Hanushek, Eric A, 1992. "The Trade-Off between Child Quantity and Quality," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 84-117, February.
    19. Peter J. Glick & Alessandra Marini & David E. Sahn, 2007. "Estimating the Consequences of Unintended Fertility for Child Health and Education in Romania: An Analysis Using Twins Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(5), pages 667-691, October.
    20. Gourieroux, Christian & Holly, Alberto & Monfort, Alain, 1982. "Likelihood Ratio Test, Wald Test, and Kuhn-Tucker Test in Linear Models with Inequality Constraints on the Regression Parameters," Econometrica, Econometric Society, vol. 50(1), pages 63-80, January.
    21. Behrman, Jere R & Pollak, Robert A & Taubman, Paul, 1989. "Family Resources, Family Size, and Access to Financing for College Education," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 398-419, April.
    22. David N. Weil & Oded Galor, 2000. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond," American Economic Review, American Economic Association, vol. 90(4), pages 806-828, September.
    23. Kelly Bedard & Elizabeth Dhuey, 2006. "The Persistence of Early Childhood Maturity: International Evidence of Long-Run Age Effects," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1437-1472.
    24. Kodde, David A & Palm, Franz C, 1986. "Wald Criteria for Jointly Testing Equality and Inequality Restriction s," Econometrica, Econometric Society, vol. 54(5), pages 1243-1248, September.
    25. Horowitz, Joel L., 2001. "The Bootstrap," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 52, pages 3159-3228, Elsevier.
    26. Millimet, Daniel & Wang, Le, 2005. "Is the Quantity-Quality Trade-off Really a Trade-off for All?," Departmental Working Papers 0502, Southern Methodist University, Department of Economics.
    27. repec:ucp:bknber:9780226740867 is not listed on IDEAS
    28. Gary S. Becker, 1960. "An Economic Analysis of Fertility," NBER Chapters, in: Demographic and Economic Change in Developed Countries, pages 209-240, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Massimiliano Bratti & Simona Fiore & Mariapia Mendola, 2020. "The impact of family size and sibling structure on the great Mexico–USA migration," Journal of Population Economics, Springer;European Society for Population Economics, vol. 33(2), pages 483-529, April.
    2. Massimiliano Bratti & Simona Fiore & Mariapia Mendola, 2016. "Family Size, Sibling Rivalry and Migration: Evidence from Mexico," Development Working Papers 390, Centro Studi Luca d'Agliano, University of Milano, revised 21 Jun 2016.
    3. Wanchuan Lin & Juan Pantano & Shuqiao Sun, 2020. "Birth order and unwanted fertility," Journal of Population Economics, Springer;European Society for Population Economics, vol. 33(2), pages 413-440, April.
    4. Chinhui Juhn & Yona Rubinstein & C. Andrew Zuppann, 2015. "The Quantity-Quality Trade-off and the Formation of Cognitive and Non-cognitive Skills," NBER Working Papers 21824, National Bureau of Economic Research, Inc.
    5. Ea Hoppe Blaabæk & Mads Meier Jæger & Joseph Molitoris, 2020. "Family Size and Educational Attainment: Cousins, Contexts, and Compensation," European Journal of Population, Springer;European Association for Population Studies, vol. 36(3), pages 575-600, July.
    6. Rune V. Lesner, 2016. "The Long-Term Effect of Childhood Poverty," Economics Working Papers 2016-08, Department of Economics and Business Economics, Aarhus University.
    7. Houmark, Mikkel Aagaard, 2023. "First Among Equals? How Birth Order Shapes Child Development," MPRA Paper 119325, University Library of Munich, Germany.
    8. Chris SAKELLARIOU & Fang ZHENG, 2014. "Returns to Schooling for Urban Residents and Migrants in China: New IV Estimates and a Comprehensive Investigation," Economic Growth Centre Working Paper Series 1407, Nanyang Technological University, School of Social Sciences, Economic Growth Centre.
    9. Halla, Martin & Zweimüller, Martina, 2014. "Parental Response to Early Human Capital Shocks: Evidence from the Chernobyl Accident," IZA Discussion Papers 7968, Institute of Labor Economics (IZA).
    10. Sylvia Frühwirth-Schnatter & Martin Halla & Alexandra Posekany & Gerald J. Pruckner & Thomas Schober, 2014. "The Quantity and Quality of Children: A Semi-Parametric Bayesian IV Approach," Economics working papers 2014-03, Department of Economics, Johannes Kepler University Linz, Austria.
    11. Ronni Pavan, 2016. "On the Production of Skills and the Birth-Order Effect," Journal of Human Resources, University of Wisconsin Press, vol. 51(3), pages 699-726.
    12. Nakamura, Nobuyuki & Suzuki, Aya, 2023. "Impact of foreign domestic workers on the fertility decision of households: evidence from Hong Kong," Journal of Demographic Economics, Cambridge University Press, vol. 89(1), pages 105-135, March.
    13. Sanni Breining & Joseph Doyle & David N. Figlio & Krzysztof Karbownik & Jeffrey Roth, 2020. "Birth Order and Delinquency: Evidence from Denmark and Florida," Journal of Labor Economics, University of Chicago Press, vol. 38(1), pages 95-142.
    14. Christina J. Diaz & Jeremy E. Fiel, 2021. "When Size Matters: IV Estimates of Sibship Size on Educational Attainment in the U.S," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 40(6), pages 1195-1220, December.
    15. Marco Bertoni & Giorgio Brunello, 2016. "Later-borns Don’t Give Up: The Temporary Effects of Birth Order on European Earnings," Demography, Springer;Population Association of America (PAA), vol. 53(2), pages 449-470, April.
    16. Bertoni, Marco & Brunello, Giorgio, 2013. "Laterborns Don't Give Up: The Effects of Birth Order on Earnings in Europe," IZA Discussion Papers 7679, Institute of Labor Economics (IZA).
    17. Sonia Bhalotra & Damian Clarke, 2020. "The Twin Instrument: Fertility and Human Capital Investment," Journal of the European Economic Association, European Economic Association, vol. 18(6), pages 3090-3139.
    18. Rune V. Lesner, 2018. "The long-term effect of childhood poverty," Journal of Population Economics, Springer;European Society for Population Economics, vol. 31(3), pages 969-1004, July.
    19. Bu, Feifei, 2014. "Sibling configurations, educational aspiration and attainment," ISER Working Paper Series 2014-11, Institute for Social and Economic Research.
    20. Shen, Guangjun & Zou, Jingxian & Liu, Xiaoguang, 2017. "Economies of scale, resource dilution and education choice in developing countries: Evidence from Chinese households," China Economic Review, Elsevier, vol. 44(C), pages 138-153.
    21. Öberg, Stefan, 2021. "The casual effect of fertility: The multiple problems with instrumental variables for the number of children in families," SocArXiv peuvz, Center for Open Science.

    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. Damian Clarke, 2018. "Children And Their Parents: A Review Of Fertility And Causality," Journal of Economic Surveys, Wiley Blackwell, vol. 32(2), pages 518-540, April.
    2. Oded Galor, 2012. "The demographic transition: causes and consequences," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 6(1), pages 1-28, January.
    3. Larry E. Jones & Alice Schoonbroodt & Michèle Tertilt, 2010. "Fertility Theories: Can They Explain the Negative Fertility-Income Relationship?," NBER Chapters, in: Demography and the Economy, pages 43-100, National Bureau of Economic Research, Inc.
    4. Sascha Becker & Francesco Cinnirella & Ludger Woessmann, 2010. "The trade-off between fertility and education: evidence from before the demographic transition," Journal of Economic Growth, Springer, vol. 15(3), pages 177-204, September.
    5. Ito, Takahiro & Tanaka, Shinsuke, 2018. "Abolishing user fees, fertility choice, and educational attainment," Journal of Development Economics, Elsevier, vol. 130(C), pages 33-44.
    6. Brezis, Elise S. & Ferreira, Rodolphe Dos Santos, 2016. "Endogenous Fertility With A Sibship Size Effect," Macroeconomic Dynamics, Cambridge University Press, vol. 20(8), pages 2046-2066, December.
    7. Jia, Nan & Zhou, Ying & Yang, Tianchi, 2021. "“Selective two-child” policy and household resource allocation," China Economic Review, Elsevier, vol. 68(C).
    8. Jianmei ZHAO & Hai ZHONG, 2019. "A Demographic Factor as a Determinant of Migration: What Is the Effect of Sibship Size on Migration Decision?," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 85(4), pages 321-345, December.
    9. Dasgupta, Kabir & Solomon, Keisha T., 2018. "Family size effects on childhood obesity: Evidence on the quantity-quality trade-off using the NLSY," Economics & Human Biology, Elsevier, vol. 29(C), pages 42-55.
    10. Claude Diebolt & Faustine Perrin, 2013. "From Stagnation to Sustained Growth: The Role of Female Empowerment," American Economic Review, American Economic Association, vol. 103(3), pages 545-549, May.
    11. Vu, Linh Hoang & Tran, Tuyen Quang, 2021. "Sibship composition, birth order and education: Evidence from Vietnam," International Journal of Educational Development, Elsevier, vol. 85(C).
    12. Zhong, Hai, 2014. "The effect of sibling size on children's health: a regression discontinuity design approach based on China's one-child policy," China Economic Review, Elsevier, vol. 31(C), pages 156-165.
    13. Li, Honghui & Hiwatari, Masato, 2020. "Family Size and Educational Attainment : The Case of China," Discussion paper series. A 353, Graduate School of Economics and Business Administration, Hokkaido University.
    14. Chen Cheng & Chou Shin-Yi & Wang Cheng & Zhao Wangyang, 2020. "The Effect of the Second Child on the Anthropometric Outcomes and Nutrition Intake of the First Child: Evidence from the Relaxation of the One-Child Policy in Rural China," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 20(1), pages 1-28, January.
    15. Philip DeCicca & Harry Krashinsky, 2023. "The effect of education on overall fertility," Journal of Population Economics, Springer;European Society for Population Economics, vol. 36(1), pages 471-503, January.
    16. Nancy Qian, 2009. "Quantity-Quality and the One Child Policy:The Only-Child Disadvantage in School Enrollment in Rural China," NBER Working Papers 14973, National Bureau of Economic Research, Inc.
    17. Jakob Madsen & Holger Strulik, 2023. "Testing unified growth theory: Technological progress and the child quantity‐quality tradeoff," Quantitative Economics, Econometric Society, vol. 14(1), pages 235-275, January.
    18. Diebolt, Claude & Mishra, Tapas & Perrin, Faustine, 2015. "Did Gender-Bias Matter in the Quantity-Quality Trade-off in 19th Century France?," Lund Papers in Economic History 141, Lund University, Department of Economic History.
    19. Dimico, Arcangelo, 2014. "Poverty trap and educational shock: Evidence from missionary fields," QUCEH Working Paper Series 14-07, Queen's University Belfast, Queen's University Centre for Economic History.
    20. Zhou, Ying & Jia, Nan & Yang, Tianchi, 2021. "The quantity–quality trade-off related to investment in healthy human capital: New evidence from the implementation of the “selective two-child policy” in China," Journal of Asian Economics, Elsevier, vol. 76(C).

    More about this item

    Keywords

    quantity-quality trade off; fertility models; fixed-effects; instrumental variables;
    All these keywords.

    JEL classification:

    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

    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:iza:izadps:dp7454. See general information about how to correct material in RePEc.

    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: Holger Hinte (email available below). General contact details of provider: https://edirc.repec.org/data/izaaade.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.