Difference Labor productivity and GDP per capita?

CFA Level II
#1

Hi, I find some of the text on this material confusing:

"Dividing both sides by L in the Cobb-Douglas production function, we can obtain the output per worker (labor productivity).

output per worker = Y/L = T(K/L)α

Labor productivity is similar to GDP per capita, a standard of living measure.

I thought GDP per capita would be Y / L and Labor Productivity was defined as “GDP / aggregate ours of labor in the country”. From the text above Labor productivity is defined as Y/L and there is no other definition of “GDP per capita” mentioned.

Anyone who could help explain this to me? Thanks a lot for the help!

#2

L is labor force. Y/L measures labor productivity. It can be interpreted as how much output per unit of laborer.

Total population includes L and non-labor population (newborns, kids, grannies, etc), so GDP per capita and labor productivity ratio are not the same.

#3

Note that GDP per capita is GDP / Total Population