Mr. Lakner, congratulations for your paper. I've been studying as an economist income distribution in Brazil for long and I developed last year a methodology that measures income inequality and also describes the weight of income shares and relative frequencies in it. Which means that we may distinguish whether the rise or fall in inequality comes from the variation of relative incomes and/or from the movement of people from a income interval to another - a kind of "social mobility" or a proxy of it. I submitted the paper of that methodology to a brazilian periodic a month ago. I think i'll be useful for analyzing the data you used above to show the movement of people along the income scales of countries, whether ascending, descending or stable in time. Jose Carlos Peliano, researcher at Nucleus of Studies in Public Polices, University of Campinas, Brazil.