The cross-sectional distribution of consumption is commonly approximated by the lognormal distribution. This note shows that consumption is better described by the double Pareto-lognormal distribution (dPlN), which has a lognormal body with two Pareto tails and arises as the stationary distribution in recently proposed dynamic general equilibrium models. dPlN outperforms other parametric distributions and is often not rejected by goodness-of-fit tests. The analytical tractability and parsimony of dPlN may be convenient for various economic applications.

Recent consolidation in agriculture has shifted production toward fewer but larger farms, reshaping business relationships between farmers, processors, input suppliers, and local communities. We analyze growth and diversification of U.S. corn, wheat, apple, and beef farms by examining longitudinal changes in 10 size cohorts through three successive censuses. We fail to reject Gibrat's law in apple and wheat industries and the mean reversion hypothesis in beef and corn industries. Apple and wheat farms diversify over time. The findings suggest that scale economies diminish for large farms across all four industries and scope economies dominate scale economies for large apple and wheat farms.

En este documento se analiza la jerarquía urbana de Colombia y sus regiones utilizando información censal de entre 1835 y 2005. Se estudian tres aspectos: 1) la distribución del tamaño poblacional a través de las regularidades empíricas de Zipf y de Gibrat; 2) el cambio en el modelo de crecimiento poblacional, y 3) la validación empírica sobre la coincidencia de la dinámica poblacional para un país y sus regiones. Haciendo uso de la relación rango-tamaño y de técnicas no paramétricas, se encuentra coincidencia nacional y regional desde 1964 del cumplimiento de la ley de Zipf y parcialmente de la ley de Gibrat, lo cual evidencia un cambio en el modelo de crecimiento poblacional desde mediados del siglo XX en los ámbitos nacional y regional.