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Time and Income Poverty: An Interdependent Multidimensional Poverty Approach with German Time Use Diary Data

Author

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  • Merz, Joachim

    (Leuphana University Lüneburg)

  • Rathjen, Tim

    (Leuphana University Lüneburg)

Abstract

Income as the traditional one dimensional measure in well-being and poverty analyses is extended in recent studies by a multidimensional poverty concept. Though this is certainly a progress, however, two important aspects are missing: time as an important dimension and the interdependence of the often only separately counted multiple poverty dimensions. Our paper will contribute to both aspects: First, we consider time – and income – both as striking and restricting resources of everyday activities and hence account for time and income as important multiple poverty dimensions. Second, the interdependence of the poverty dimensions will be evaluated by the German population to allow an advanced approach to understand possible substitution effects and the respective trade offs between the dimensions. Referring to the time dimension, we follow Sen's capability approach with its freedom of the living conditions' choice and social exclusion and argue, that restricted time might exclude from social participation. In particular, restricted genuine, personal leisure time (not entire leisure time) in particular is associated with a restricted social participation. The crucial question then is how to measure the substitution between income and such genuine leisure time. In our analysis we consider the country population’s valuation with data from the German Socio-Economic Panel and estimate the substitution by a CES-utility function of general utility/satisfaction. Given this quantification we disentangle time, income and interdependent multidimensional poverty regimes characterising the working poor. In addition, we quantify further socio-economic influences for each interdependent multidimensional poverty regime by a multinomial logit based on time use diary data of the German Time Use Study 2001/02. One striking result for Germany: the substitution between time and income is significant and we find an important fraction of time poor who are unable to substitute their time deficit by income. These poor people are ignored within the poverty and well-being as well as the time crunch and time famine discussion so far.

Suggested Citation

  • Merz, Joachim & Rathjen, Tim, 2009. "Time and Income Poverty: An Interdependent Multidimensional Poverty Approach with German Time Use Diary Data," IZA Discussion Papers 4337, Institute of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp4337
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    1. Weber, Christian E., 2000. "Two further empirical implications of Auspitz-Lieben-Edgeworth-Pareto complementarity," Economics Letters, Elsevier, vol. 67(3), pages 289-295, June.
    2. Maria Ana Lugo & Esfandiar Maasoumi, 2008. "Multidimensional Poverty Measures from an Information Theory Perspective," Working Papers 85, ECINEQ, Society for the Study of Economic Inequality.
    3. Tania Burchardt, 2008. "Time and Income Poverty," CASE Reports casereport57, Centre for Analysis of Social Exclusion, LSE.
    4. Freeman, Richard B, 1978. "Job Satisfaction as an Economic Variable," American Economic Review, American Economic Association, vol. 68(2), pages 135-141, May.
    5. Andrew E. Clark & Paul Frijters & Michael A. Shields, 2008. "Relative Income, Happiness, and Utility: An Explanation for the Easterlin Paradox and Other Puzzles," Journal of Economic Literature, American Economic Association, vol. 46(1), pages 95-144, March.
    6. Michael Bittman, 1999. "Social Participation and Family Welfare: The Money and Time Costs of Leisure," Discussion Papers 0095, University of New South Wales, Social Policy Research Centre.
    7. Joachim Merz & Tim Rathjen, 2014. "Time And Income Poverty: An Interdependent Multidimensional Poverty Approach With German Time Use Diary Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(3), pages 450-479, September.
    8. P. Jenkins, Stephen & Cappellari, Lorenzo, 2006. "Summarizing multiple deprivation indicators," ISER Working Paper Series 2006-40, Institute for Social and Economic Research.
    9. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February.
    10. Merz, Joachim & Osberg, Lars, 2006. "Keeping in Touch – A Benefit of Public Holidays," MPRA Paper 5738, University Library of Munich, Germany.
    11. Bruno Frey & Alois Stutzer, 2005. "Happiness Research: State and Prospects," Review of Social Economy, Taylor & Francis Journals, vol. 63(2), pages 207-228.
    12. Diamond,Peter A., 2009. "On Time," Cambridge Books, Cambridge University Press, number 9780521119764, September.
    13. Walter Bossert & Satya R. Chakravarty & Conchita D’Ambrosio, 2019. "Multidimensional Poverty and Material Deprivation with Discrete Data," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 191-209, Springer.
    14. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    15. Alkire, Sabina & Foster, James, 2011. "Counting and multidimensional poverty measurement," Journal of Public Economics, Elsevier, vol. 95(7), pages 476-487.
    16. Jens Bonke & Frederik Gerstoft, 2007. "Stress, time use and gender," electronic International Journal of Time Use Research, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)) and The International Association for Time Use Research (IATUR), vol. 4(1), pages 47-68, September.
    17. P. Jenkins, Stephen & Osberg, Lars, 2003. "Nobody to play with? The implications of leisure coordination," ISER Working Paper Series 2003-19, Institute for Social and Economic Research.
    18. Gronau, Reuben, 1977. "Leisure, Home Production, and Work-The Theory of the Allocation of Time Revisited," Journal of Political Economy, University of Chicago Press, vol. 85(6), pages 1099-1123, December.
    19. Bruno S. Frey & Alois Stutzer, 2002. "What Can Economists Learn from Happiness Research?," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 402-435, June.
    20. Daniel S. Hamermesh, 2004. "Subjective Outcomes in Economics," Southern Economic Journal, John Wiley & Sons, vol. 71(1), pages 1-11, July.
    21. François Bourguignon & Satya R. Chakravarty, 2019. "The Measurement of Multidimensional Poverty," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 83-107, Springer.
    22. Clark, Andrew E. & Oswald, Andrew J., 1996. "Satisfaction and comparison income," Journal of Public Economics, Elsevier, vol. 61(3), pages 359-381, September.
    23. Joseph Deutsch & Jacques Silber, 2005. "Measuring Multidimensional Poverty: An Empirical Comparison Of Various Approaches," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 51(1), pages 145-174, March.
    24. Dominique Thon, 1979. "On Measuring Poverty," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 25(4), pages 429-439, December.
    25. Clair Vickery, 1977. "The Time-Poor: A New Look at Poverty," Journal of Human Resources, University of Wisconsin Press, vol. 12(1), pages 27-48.
    26. Calvo, Cesar, 2008. "Vulnerability to Multidimensional Poverty: Peru, 1998-2002," World Development, Elsevier, vol. 36(6), pages 1011-1020, June.
    27. Joachim Merz & Lars Osberg, 2009. "Keeping in touch – A benefit of public holidays using time use diary data," electronic International Journal of Time Use Research, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)) and The International Association for Time Use Research (IATUR), vol. 6(1), pages 130-166, September.
    28. Thursby, Jerry G & Lovell, C A Knox, 1978. "An Investigation of the Kmenta Approximation to the CES Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 363-377, June.
    29. Ajit Zacharias, 2011. "The Measurement of Time and Income Poverty," Economics Working Paper Archive wp_690, Levy Economics Institute.
    30. Andrew Harvey & Arun Mukhopadhyay, 2007. "When Twenty-Four Hours is not Enough: Time Poverty of Working Parents," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 82(1), pages 57-77, May.
    31. Chipman, John S., 1977. "An empirical implication of Auspitz-Lieben-Edgeworth-Pareto complementarity," Journal of Economic Theory, Elsevier, vol. 14(1), pages 228-231, February.
    32. Michael Bittman & Robert E. Goodin, 1998. "An Equivalence Scale for Time," Discussion Papers 0085, University of New South Wales, Social Policy Research Centre.
    33. Kai-yuen Tsui, 2002. "Multidimensional poverty indices," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 69-93.
    34. repec:bla:revinw:v:48:y:2002:i:3:p:317-46 is not listed on IDEAS
    35. Joachim Merz & Tim Rathjen, 2014. "Multidimensional time and income poverty: well-being gap and minimum 2DGAP poverty intensity – German evidence," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(4), pages 555-580, December.
    36. repec:bla:revinw:v:25:y:1979:i:4:p:429-39 is not listed on IDEAS
    37. Gert G. Wagner & Joachim R. Frick & Jürgen Schupp, 2007. "The German Socio-Economic Panel Study (SOEP) – Scope, Evolution and Enhancements," Schmollers Jahrbuch : Journal of Applied Social Science Studies / Zeitschrift für Wirtschafts- und Sozialwissenschaften, Duncker & Humblot, Berlin, vol. 127(1), pages 139-169.
    38. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 51-65, April.
    39. Daniel S. Hamermesh, 2004. "Subjective Outcomes in Economics," Southern Economic Journal, John Wiley & Sons, vol. 71(1), pages 2-11, July.
    40. Lars Osberg, 2002. "Time, Money and Inequality in International Perspective," LIS Working papers 334, LIS Cross-National Data Center in Luxembourg.
    41. Shorrocks, Anthony F, 1995. "Revisiting the Sen Poverty Index," Econometrica, Econometric Society, vol. 63(5), pages 1225-1230, September.
    42. Jens Bonke & Mette Deding & Mette Lausten, 2009. "Time and Money," Journal of Happiness Studies, Springer, vol. 10(2), pages 113-131, April.
    43. Oriel Sullivan, 2007. "Cultural voraciousness - A new measure of the pace of leisure in a context of 'harriedness'," electronic International Journal of Time Use Research, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)) and The International Association for Time Use Research (IATUR), vol. 4(1), pages 30-46, September.
    44. J. Bonke & M. Deding & M. Lausten, 2006. "Time and Money: Substitutes in Real Terms and Complements in Satisfactions," Economics Working Paper Archive wp_451, Levy Economics Institute.
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    Cited by:

    1. Cristian F. Sepulveda, 2019. "Time-saving Goods, Time Inequalities, and Optimal Taxation," International Center for Public Policy Working Paper Series, at AYSPS, GSU paper1902, International Center for Public Policy, Andrew Young School of Policy Studies, Georgia State University.
    2. Joachim Merz & Tim Rathjen, 2014. "Time And Income Poverty: An Interdependent Multidimensional Poverty Approach With German Time Use Diary Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(3), pages 450-479, September.
    3. Merz, Joachim & Scherg, Bettina, 2021. "Time, Income and Subjective Well-Being - 20 Years of Interdependent Multidimensional Polarization in Germany," IZA Discussion Papers 14870, Institute of Labor Economics (IZA).
    4. Busch, Christopher & Peichl, Andreas, 2010. "The Development of Multidimensional Poverty in Germany 1985-2007," IZA Discussion Papers 4922, Institute of Labor Economics (IZA).
    5. Merz, Joachim & Rathjen, Tim, 2011. "Intensity of Time and Income Interdependent Multidimensional Poverty: Well-Being and Minimum 2DGAP – German Evidence," IZA Discussion Papers 6022, Institute of Labor Economics (IZA).
    6. Merz, Joachim & Rathjen, Tim, 2016. "Entrepreneurs and Freelancers: Are They Time and Income Multidimensional Poor? The German Case," IZA Discussion Papers 9912, Institute of Labor Economics (IZA).
    7. Nicolai Suppa, 2018. "Towards a multidimensional poverty index for Germany," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 45(4), pages 655-683, November.
    8. Merz, Joachim & Peters, Normen, 2019. "Parental Child Care Time, Income and Subjective Well-Being: A Multidimensional Polarization Approach for Germany," IZA Discussion Papers 12145, Institute of Labor Economics (IZA).
    9. David Bell & Steffen Otterbach & Alfonso Sousa-Poza, 2012. "Work Hours Constraints and Health," Annals of Economics and Statistics, GENES, issue 105-106, pages 35-54.
    10. Joachim Merz & Tim Rathjen, 2011. "Zeit- und Einkommensarmut von Freien Berufen und Unternehmern," FFB-Discussionpaper 89, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)), LEUPHANA University Lüneburg.
    11. Dorn, Franziska & Radice, Rosalba & Marra, Giampiero & Kneib, Thomas, 2021. "A bivariate relative poverty line for time and income poverty: Detecting intersectional differences using distributional copulas," University of Göttingen Working Papers in Economics 435, University of Goettingen, Department of Economics.
    12. Pamella Spelman & Umakrishnan Kollamparambil, 2024. "Subjective time poverty: a gendered analysis," EERI Research Paper Series EERI RP 2024/07, Economics and Econometrics Research Institute (EERI), Brussels.
    13. Joachim Merz & Tim Rathjen, 2014. "Multidimensional time and income poverty: well-being gap and minimum 2DGAP poverty intensity – German evidence," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(4), pages 555-580, December.
    14. Joachim Merz & Bettina Scherg, 2013. "Polarization of Time and Income: A Multidimensional Approach with Well-Being Gap and Minimum 2DGAP ; German Evidence," SOEPpapers on Multidisciplinary Panel Data Research 574, DIW Berlin, The German Socio-Economic Panel (SOEP).
    15. Yuta J. Masuda & Jason R. Williams & Heather Tallis, 2021. "Does Life Satisfaction Vary with Time and Income? Investigating the Relationship Among Free Time, Income, and Life Satisfaction," Journal of Happiness Studies, Springer, vol. 22(5), pages 2051-2073, June.
    16. Cristian F. Sepulveda, 2022. "Time-saving goods, time inequalities and optimal commodity taxation," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 29(1), pages 84-109, February.
    17. Nicholas Rohde & Ross Guest, 2018. "Multidimensional Inequality Across Three Developed Countries," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(3), pages 576-591, September.
    18. Lyndall Strazdins & Amy L Griffin & Dorothy H Broom & Cathy Banwell & Rosemary Korda & Jane Dixon & Francesco Paolucci & John Glover, 2011. "Time Scarcity: Another Health Inequality?," Environment and Planning A, , vol. 43(3), pages 545-559, March.
    19. Joachim Merz & Henning Stolze, 2010. "Kumulation von Querschnitten - Evaluierung alternativer Konzepte für die kumulierten laufenden Wirtschaftsrechnungen 1999 bis 2003 im Vergleich zur Einkommens- und Verbrauchsstichprobe 2003," FFB-Discussionpaper 85, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)), LEUPHANA University Lüneburg.
    20. Joachim Merz & Normen Peters, 2019. "Parental Child Care Time, Income and Subjective Well-Being: A Multidimensional Polarization Approach for Germany," SOEPpapers on Multidisciplinary Panel Data Research 1021, DIW Berlin, The German Socio-Economic Panel (SOEP).
    21. Iris Burmester & Bettina Scherg, 2013. "Polarisierung von Arbeitseinkommen im internationalen Vergleich – Empirische Befunde," FFB-Discussionpaper 96, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)), LEUPHANA University Lüneburg.
    22. Erica Aloè, 2023. "Time and Income Poverty Measurement. An Ongoing Debate on the Inclusion of Time in Poverty Assessment," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 169(1), pages 283-322, September.
    23. Nicolai Suppa, 2018. "Towards a multidimensional poverty index for Germany," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 45(4), pages 655-683, November.
    24. Venn, Danielle & Strazdins, Lyndall, 2017. "Your money or your time? How both types of scarcity matter to physical activity and healthy eating," Social Science & Medicine, Elsevier, vol. 172(C), pages 98-106.
    25. Tim Rathjen, 2011. "Do Time Poor Individuals Pay More?," FFB-Discussionpaper 91, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)), LEUPHANA University Lüneburg.

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    More about this item

    Keywords

    interdependent multidimensional time and income poverty; time and income substitution; extended economic well-being; satisfaction; CES utility function estimation; working poor; German Socio-Economic Panel; German Time Use Surveys 2001/02;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply

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