Two-component structure of household income distributions in Poland

Authors

  • Piotr Łukasiewicz Warsaw University of Life Sciences
  • Krzysztof Karpio Warsaw University of Life Sciences
  • Arkadiusz Orłowski Warsaw University of Life Sciences

DOI:

https://doi.org/10.24136/eq.2018.029

Keywords:

income distribution, Pareto model, power law

Abstract

Research background: Studies of the structures of the income distributions have been performed for about 15 years. They indicate that there is no model which describes the distributions in their whole range. This effect is explained by the existence of different mechanisms yielding to low-medium and high incomes. While more than 97% of the distributions can be described by exponential or log-normal models, high incomes (about 3% or less) are in agreement with the power law.

Purpose of the article: The aim of this paper is an analysis of the structure of the household income distributions in Poland. We verify the hypothesis about two-part structure of those distributions by using log-normal and Pareto models.

Methods: The studies are based on the households? budgets microdata for years 2004?2012. The two-component models are used to describe the income distributions. The major parts of the distributions are described by the two parametric log-normal model. The highest incomes are described by the Pareto model. We also investigate the agreement with data of the more complex models, like Dagum, and Singh-Madalla.

Findings & Value added: One has showed that two or three parametric models explain from about 95% to more than 99% of income distributions. The poorest agreement with data is for the log-normal model, while the best agreement has been obtained for the Dagum model. However, two-part model: log-normal for low-middle incomes and Pareto model for the highest incomes describes almost the whole range of income distributions very well.

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References

Aitchison, J., & Brown, J. A. C. (1957). The lognormal distribution with special reference to its use in economics. New York: Cambridge University Press.
View in Google Scholar

Bandourian, R., McDonald, J., & Turley, R. S. (2002). A comparison of parametric models of income distribution across countries and over time. Luxembourg Income Study Working Paper, 305. doi: 10.2139/ssrn.324900.

DOI: https://doi.org/10.2139/ssrn.324900
View in Google Scholar

Brzeziński, M. (2014). Empirical modeling of the impact factor distribution. Journal of Informetrics, 8. doi: 10.1016/j.joi.2014.01.009.

DOI: https://doi.org/10.1016/j.joi.2014.01.009
View in Google Scholar

Clementi, F., & Gallegati, M. (2005). Pareto’s law of income distribution: evidence for Germany, the United Kingdom, and the United States. In A. Chatterjee, S. Yarlagadda & B. K. Chakrabarti (Eds.). Econophysics of wealth distributions. Springer-Verlag. doi: 10.1007/88-470-0389-X_1.

DOI: https://doi.org/10.1007/88-470-0389-X_1
View in Google Scholar

Clementi, F., & Gallegati, M. (2005). Power law tails in the Italian personal income distribution. Physica A, 350. doi: 10.1016/j.physa.2004.11.038.

DOI: https://doi.org/10.1016/j.physa.2004.11.038
View in Google Scholar

Dagum, C. (2008). A new model of personal income distribution: specification and estimation. In D. Chotikapanich (Ed.). Modeling income distributions and Lorenz curves. Springer. doi: 10.1007/978-0-387-72796-7_1.

DOI: https://doi.org/10.1007/978-0-387-72796-7_1
View in Google Scholar

Dagum, C., & Lemmi, A. (1989). A contribution to the analysis of income distribution and income inequality and a case study: Italy. In D. J. Slottjee (Ed.). Research on economic inequality, 1. Greenwich CT: JAI Press.
View in Google Scholar

Dagum, C. (2006). Wealth distribution models: analysis and applications. Statistica, 61(3).

DOI: https://doi.org/10.1002/0471667196.ess6032.pub2
View in Google Scholar

Dragulescu, A. A., & Yakovenko, V. M. (2001). Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States. Physica A, 299. doi: 10.1016/S0378-4371(01)00298-9.

DOI: https://doi.org/10.1016/S0378-4371(01)00298-9
View in Google Scholar

Jagielski, M., & Kutner R. (2010). Study of households’ income in Poland by using the statistical physics approach. Acta Physica Polonica A, 117(4). doi: 10.12693/APhysPolA.117.615.

DOI: https://doi.org/10.12693/APhysPolA.117.615
View in Google Scholar

Jagielski, M., & Kutner, R. (2013). Modelling of income distribution in the European Union with the Fokker–Planck equation. Physica A, 392(9). doi: 10.1016/j.physa.2013.01.028.

DOI: https://doi.org/10.1016/j.physa.2013.01.028
View in Google Scholar

Kleiber, C. (1996). Dagum vs. Singh-Maddala income distributions. Economics Letter, 53(3). doi: 10.1016/S0165-1765(96)00937-8.

DOI: https://doi.org/10.1016/S0165-1765(96)00937-8
View in Google Scholar

Levy, M., & Solomon, S. (1997). New evidence for the power-law distribution of wealth. Physica A, 242. doi: 10.1016/S0378-4371(97)00217-3.

DOI: https://doi.org/10.1016/S0378-4371(97)00217-3
View in Google Scholar

Łukasiewicz, P., & Orłowski A. J. (2004). Probabilistic models of income distributions. Physica A, 344(1-2). doi: 10.1016/j.physa.2004.06.106.

DOI: https://doi.org/10.1016/j.physa.2004.06.106
View in Google Scholar

Łukasiewicz, P., & Orłowski, A. J. (2003). Probabilistic models of income distributions of Polish households. Quantitative Methods in Economic Research III.
View in Google Scholar

Łukasiewicz, P., Karpio, K., & Orłowski, A. J. (2012). The models of personal incomes in USA. Acta Physica Polonica A, 121(2B). doi: 10.12693/APhysPol A.121.B-82.

DOI: https://doi.org/10.12693/APhysPolA.121.B-82
View in Google Scholar

McDonald, J. B. (1984). Some generalized functions for the size distribution of income. Econometrica, 52(3). doi: 10.2307/1913469.

DOI: https://doi.org/10.2307/1913469
View in Google Scholar

McDonald, J. B., & Xu, Y. J. (1995). A generalization of the beta distribution with applications. Journal of Econometrics, 66(1-2). doi: 10.1016/0304-4076(94) 01612-4.

DOI: https://doi.org/10.1016/0304-4076(94)01612-4
View in Google Scholar

Nirei, M., & Souma, W. (2004). Income distribution and stochastic multiplicative process with reset events. In M. Gallegati, A. P. Kirman & M. Marsili (Eds.). The complex dynamics of economic interaction. Berlin, Heidelberg: Springer. doi: 10.1007/978-3-642-17045-4_9.

DOI: https://doi.org/10.1007/978-3-642-17045-4_9
View in Google Scholar

Nirei, M., & Souma, W. (2007). A two factor model of income distribution dynamics. Review of Income and Wealth, 53(3). doi: 10.1111/j.1475-4991.2007. 00242.x.

DOI: https://doi.org/10.1111/j.1475-4991.2007.00242.x
View in Google Scholar

Okuyama, K., Takayasu, M., & Takayasu, H. (1999). Zipf's law in income distribution of companies. Physica A, 269. doi: 10.1016/S0378-4371(99)00086-2.

DOI: https://doi.org/10.1016/S0378-4371(99)00086-2
View in Google Scholar

Pareto, V. (1896-97). Cours d’Economie Politique. Lausanne: F. Rouge.
View in Google Scholar

Quintano, C., & D’Agostino, A. (2006). Studying inequality in income distribution of single-person households in four developed countries. Review of Income and Wealth, 52(4). doi: 10.1111/j.1475-4991.2006.00206.x.

DOI: https://doi.org/10.1111/j.1475-4991.2006.00206.x
View in Google Scholar

Silva, A. C., & Yakovenko, V. M. (2005). Temporal evolution of the “thermal” and “superthermal” income classes in the USA during 1983–2001. Europhysics Letters, 69(2). doi: 10.1209/epl/i2004-10330-3.

DOI: https://doi.org/10.1209/epl/i2004-10330-3
View in Google Scholar

Singh, S. K., & Manddala, G. S. (1976). A function for size distribution of incomes. Econometrica, 44(5). doi: 10.2307/1911538.

DOI: https://doi.org/10.2307/1911538
View in Google Scholar

Suoma, W. (2001). Universal structure of the personal income distribution. Fractals, 09(04). doi: 10.1142/S0218348X01000816.

DOI: https://doi.org/10.1142/S0218348X01000816
View in Google Scholar

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Published

2018-12-31

How to Cite

Łukasiewicz, P., Karpio, K., & Orłowski, A. (2018). Two-component structure of household income distributions in Poland. Equilibrium. Quarterly Journal of Economics and Economic Policy, 13(4), 603–622. https://doi.org/10.24136/eq.2018.029

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