The Production of Goods and Services Has Grown Faster than Population for a Century

GDP per capita in the Year 1913

GDP per capita in the Year 1960

GDP per capita in the Year 2008

These maps are from the World Poverty Visualization on the "Our World in Data" website.  The website is produced by Max Roser of Oxford University.

The maps are pretty well self explanatory, and show that per capita GDP growth has happened on all continents, but that there remain wide disparities in the productivity among countries and regions.