Engel Curves in Medellin’s Households 2012-2015





Engels’ Law, expenditure, income, endogeneity, instrumental variable, data censoring, econometrics


This paper analyzes and characterizes the consumer behavior and the consumption patterns in Medellin’s households. We made the analysis based on the Engel curves for urban households, which relates the total expenditure to expenditure in specific goods. We perform three empirical models: semiparametric models to capture non-linearities, instrumental variables model because of the endogeneity and Tobit models due to censoring of the dependent variable. We concluded that food and beverage, tobacco and clothing and footwear, respond to the Engel Law, and depending on the expenditure segment in which the families are located, those goods could be normal, inferior or luxury.


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Baltagi, B. (2005). Econometric Analysis of Panel Data (3th ed.). Hoboken, NJ: John Wiley and Sons.

Banks, J. Blundell, R. & Lewbel, A. (1997). Quadratic Engel Curves and Consumer Demand. The Review of Economics and Statistics, 79(4), 527-539. https://doi.org/10.1162/003465397557015

Bhalotra, S. & Attfield, C (1998) Intrahousehold Resources Allocation in Rural Pakistan: Semiparametric Analysis. Journal of Applied Econometrics, 13(5), 463-480. https://doi.org/10.1002/(sici)1099-1255(1998090)13:5<463::aid-jae510>3.0.co;2-3

Barrientos, J. (2009, ene.-jun.). Consumer Behaviour in Urban Colombia: The Case of Bogotá. Ensayo Sobre Política Económica ESPE, (59). https://doi.org/10.32468/espe.5903

Barrientos, J. (2011) Sobre la curva de Engel de la salud en Colombia. Una aproximación semiparamétrica. Lecturas de Economía, (74).

Blundell, R., Duncan, A. & Pendakur, K. (1998). Semiparametric Estimation and Consumer Demand. Journal of
Applied Econometrics, 13(5), 435-461. https://doi.org/10.1002/(sici)1099-1255(1998090)13:5<435::aid-jae506>3.0.co;2-k

Blundell, R., Browning, M. & Crawford, I. (2003) Non-parametric Engel Curve and Revelead Preference. Econometrica, 71(1), 205-240. https://doi.org/10.1111/1468-0262.00394

Deaton, A. & Muellbauer, J. (1980a). An almost Ideal Demand System. American Economic Review, 70(3), 312-26.

Deaton, A. & Muellbauer, J. (1980b). Economics and Consumer Behavior. Cambridge: Cambridge University Press.

Lasso, Francisco. J (2003) Economías de escala en los hogares y la pobreza. Revista de Economia del Rosario. Vol 6, No. 1.

Leser, C. E. V. (1963). Form of Engel Functions. Econometrica, 31(4), 694-703.

Lyssiotou, P., Pashardes, P. & Stengos, T. (2002). Age Effects on Consumer Demand: An Additive Partially Linear Regression Model. The Canadian Journal of Economics, 35(1), 153-165. https://doi.org/10.1111/1540-5982.00125

López, C. & Gómez, H. (1976), El consumo entre las familias urbanas de Colombia. Coyuntura Económica, 6(2), 28.

Moral-Arce, I., Rodríguez-Poo, J. & Sperlich, S. (2013) Consumer Behavior Analysis for Luxury Goods. A Technical Note for Empirical Studies. Applied Economics Letters, 20, 358-363. https://doi.org/10.1080/13504851.2012.703375

Nadaraya, E. A. (1964). On Estimating Regression. Theory Probability Applied, 10.

Newey, W. K. & Powell, J. (2003). Instrumental Variables Estimation of Non-parametric Models. Econometrica, (71), 1565-1578. https://doi.org/10.1111/1468-0262.00459

Pindyck, R. S. & Rubinfeld, D.L. (2016). Microeconomics. Boston: The Pearsons Series in Economics.

Ramírez, M., Cortés, D. & Gallego, J. (2002, jul.-dic.). El gasto en salud de los hogares colombianos: un análisis descriptivo. Lecturas de Economía, (57). https://doi.org/10.32468/dtseru.220

Sperlich, S. (2005). A Note on Nonparametric Estimation with Constructed Variables and Generated Regressors. Social Science Research Network. https://doi.org/10.2139/ssrn.1010923

Working, H. (1943). Statistical Laws of Family Expenditure. Journal of the American Statistical Association, 38, 4-56.


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How to Cite

Barrientos-Marin, J, & Arango-Sánchez, E. (2019). Engel Curves in Medellin’s Households 2012-2015. Apuntes del Cenes, 38(68), 185–212. https://doi.org/10.19053/01203053.v38.n68.2019.8479



Regional economics